Lectures On the Logic of Arithmetic
This book is a series of lectures on the mathematical and logical foundations of arithmetic. The author, Everest Boole, was a mathematician and a philosopher who was interested in the relationship between mathematics and logic. The book provides an introduction to the principles of arithmetic, such as the notion of number, the laws of addition and multiplication, and the concept of infinity.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Sandhurst Mathematical Papers for Admission Into the Royal Military College for the Years 1881-1889
This volume compiles the mathematical examination papers used for admission into the Royal Military College, Sandhurst, from 1881 to 1889. "Sandhurst Mathematical Papers" offers a fascinating glimpse into the academic standards and mathematical curriculum of late 19th-century military education in Britain. Primarily intended for prospective cadets and educators, this collection provides a comprehensive overview of the mathematical knowledge expected of candidates seeking entry into one of the premier military institutions of the British Empire. Authored by Eldred John Brooksmith and the Royal Military College, Sandhurst, this historical record serves as a valuable resource for understanding the intellectual rigors faced by aspiring military officers during this period. It remains a significant artifact for historians of education and military history, as well as those interested in the evolution of mathematical pedagogy.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Elements
The Elements of Plain and Spherical Trigonometry, first published in 1726, offers a comprehensive exploration of trigonometric principles. Authored by John Keill and featuring additional material by John Cunn, this historical text presents a detailed treatment of both plain and spherical trigonometry, alongside an accessible introduction to the nature and arithmetic of logarithms. This edition provides valuable insight into the mathematical knowledge and pedagogical methods of the early 18th century. Students and scholars of mathematics, particularly those interested in the historical development of trigonometry and logarithmic functions, will find this book to be a significant resource.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Math Olympiad Chn (2023)
In China, many excellent mathematics students take an active part in various mathematical contests, and each year, the best six senior high school students are selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years, China's IMO Team has achieved outstanding results - they won the first place almost every year.The authors of this book are esteemed coaches of the China national team, including Xiao Liang, Qu Zhenhua, Xiong Bin, Yu Hongbing, Yao Yijun, Wang Xinmao, Li Ting, Ai Yinghua, Fu Yunhao, Wang Bin, He Yijie, and Zhang Sihui. Contributing to the translation efforts were Chen Haoran and Zhao Wei.The materials of this book come from a book (in Chinese) on Forward to IMO: A Collection of Mathematical Olympiad Problems (2023). It is a collection of problems and solutions of the major mathematical competitions in China. It provides a glimpse of how the China national team is selected and formed.
The Quadrature of the Circle
"The Quadrature of the Circle: Correspondence Between an Eminent Mathematician and James Smith" delves into the contentious 19th-century debate surrounding the possibility of squaring the circle. This collection of letters showcases the exchanges between a prominent mathematician and James Smith, an amateur mathematician famous for his incorrect claim to have found the solution to this ancient geometric problem. Smith's relentless pursuit and the eminent mathematician's patient yet firm rebuttals offer a fascinating glimpse into the world of mathematics and the nature of proof. This historical document reveals the challenges of communicating complex mathematical concepts and the persistence of individuals convinced of their own solutions, even when faced with rigorous disproof. It's a valuable resource for anyone interested in the history of mathematics, the psychology of mathematical belief, and the enduring allure of unsolved problems.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Math Olympiad Chn (2023)
In China, many excellent mathematics students take an active part in various mathematical contests, and each year, the best six senior high school students are selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years, China's IMO Team has achieved outstanding results - they won the first place almost every year.The authors of this book are esteemed coaches of the China national team, including Xiao Liang, Qu Zhenhua, Xiong Bin, Yu Hongbing, Yao Yijun, Wang Xinmao, Li Ting, Ai Yinghua, Fu Yunhao, Wang Bin, He Yijie, and Zhang Sihui. Contributing to the translation efforts were Chen Haoran and Zhao Wei.The materials of this book come from a book (in Chinese) on Forward to IMO: A Collection of Mathematical Olympiad Problems (2023). It is a collection of problems and solutions of the major mathematical competitions in China. It provides a glimpse of how the China national team is selected and formed.
Stochastic Analysis
Stochastic analysis is a complex field, and this book aims to provide a detailed coverage of it. The book is intended to serve as a comprehensive resource for graduate students and researchers, offering a solid foundation in the principles and techniques of stochastic analysis, with a focus on financial problems. The book also aims to bridge the gap between theory and practice by providing examples and case studies that illustrate how stochastic analysis can be used to solve real-world financial problems. It addresses the demand for resources that cover the stochastic analysis theory related to finance comprehensively, and hopes to make a valuable contribution to the field by advancing our understanding of stochastic analysis and its applications in finance. Since stochastic analysis is a rapidly evolving field, the book showcases some of the latest research findings in the topic. It aims to promote further research in the field, serving as a platform for researchers to share their ideas and findings with a wider audience.
Engineering Mathematics with MATLAB
This textbook takes a streamlined, practical approach, designed to make engineering mathematics accessible and manageable. An invaluable resource for instructors seeking effective teaching tools and for students aiming to build strong mathematical foundations that they can apply to their own engineering discipline.
Introduction to Differential and Difference Equations Through Modeling
This book presents an opportunity to learn difference and differential equations through a modeling-first approach. The text is meant as an introduction to those equations and not as a text only for modeling courses. No previous exposure to these equations is expected. Modeling in Introduction to Differential and Difference Equations through Modeling is presented as the vehicle for learning difference and differential equations.Although the topics in difference and differential equations are consistent with those in other textbooks, this approach differs. The presentation starts with a model (or several models) and offers the solution with minor discussions. Then, methods to obtain those solutions are presented and show these same models and others again in more detail.This approach is designed to focus on the use of difference and differential equations to solve real-world problems, and to learn not only these primary topics, but how to apply these through modeling.The authors begin with a review of matrix algebra, then an introduction to modeling. The text progresses to discrete dynamical systems, and then to the standard organization of most differential equation texts, making the alignment with a current syllabus easier.Technology is a significant modeling component. Excel(R), Python(R), and Maple(R) are presented as methods to solving the models. This material has been class tested at the US Military Academy at West Point, Marian University, the College of William & Mary, and the Naval Postgraduate School with great success.
Trigonometry, With the Theory and Use of Logarithms
"Trigonometry, With the Theory and Use of Logarithms" is a comprehensive textbook from 1914, intended for students seeking a thorough understanding of trigonometry and its practical applications. Authored by Maxime B?織cher and Harry Davis Gaylord, this work offers a detailed exploration of trigonometric functions, identities, and equations, alongside a rigorous treatment of logarithms and their role in simplifying complex calculations. The book provides numerous examples and exercises designed to reinforce key concepts and develop problem-solving skills. Its enduring value lies in its clear and systematic approach, making it a valuable resource for anyone studying trigonometry or seeking a deeper appreciation of its mathematical foundations. This edition preserves the original text, ensuring that readers can engage with the material as it was originally presented.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Fifth Grade Math Quiz
This book, with 100 math problems, covers the following topics: Algebra, Decimals, Fractions, Geometry, Measurement, Multiplying Large Numbers, Probability, Word Problems, and more.These problems come from the book "Fifth Grade Math (For Home School or Extra Practice)"; it more thoroughly covers the topics to help your child get a better understanding of the subject. If you purchased that book, or plan to purchase that book, do not purchase this, as the problems are the same.
Differential Equations And Implicit Functions In Infinitely Many Variables
"Differential Equations And Implicit Functions In Infinitely Many Variables" explores advanced concepts in mathematical analysis. This book delves into the intricacies of differential equations within the context of infinite-dimensional spaces, offering a rigorous treatment of implicit function theorems applicable to such systems. It is intended for mathematicians, physicists, and advanced students seeking a comprehensive understanding of these complex topics. The work provides theoretical foundations and analytical tools essential for research in areas where infinite-dimensional differential equations play a crucial role.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Differential Equations And Implicit Functions In Infinitely Many Variables
"Differential Equations And Implicit Functions In Infinitely Many Variables" explores advanced concepts in mathematical analysis. This book delves into the intricacies of differential equations within the context of infinite-dimensional spaces, offering a rigorous treatment of implicit function theorems applicable to such systems. It is intended for mathematicians, physicists, and advanced students seeking a comprehensive understanding of these complex topics. The work provides theoretical foundations and analytical tools essential for research in areas where infinite-dimensional differential equations play a crucial role.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Journal of Applied Logics. The IfCoLog Journal of Logics and their Aplications. Volume 12, issue 4, May 2025
The Journal of Applied Logics- IfCoLog Journal of Logics and their Applications (FLAP) covers all areas of pure and applied logic, broadly construed. All papers published are free open access, and available via the College Publications website. This Journal is open access, puts no limit on the number of pages of any article, puts no limit on the number of papers in an issue and puts no limit on the number of issues per year. We insist only on a very high academic standard, and will publish issues as they come.
An Elementary Course Of Plane Geometry And Mensuration
"An Elementary Course Of Plane Geometry And Mensuration" by Richard Wormell offers a comprehensive introduction to the fundamental principles of plane geometry and mensuration. Designed as a teaching resource, this book systematically explores geometric theorems and their applications, alongside practical exercises in measurement. Readers will gain a solid understanding of geometric concepts, enhancing their problem-solving skills through clear explanations and numerous examples. This classic text is ideal for students and educators seeking a structured approach to mastering the essentials of plane geometry and mensuration. Its enduring value lies in its accessibility and its focus on building a strong foundation in mathematical reasoning.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Exercices M?(c)thodiques De Calcul Diff?(c)rentiel
"Exercices M?(c)thodiques De Calcul Diff?(c)rentiel" offers a structured approach to mastering differential calculus through carefully designed exercises. Aimed at students and educators alike, this book provides a comprehensive set of problems that reinforce fundamental concepts and techniques. The methodical progression ensures a solid understanding, making it an invaluable resource for anyone seeking to enhance their skills in calculus. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Application of Lie Group Method in Modern Mathematical Physics
The Lie group algorithm is an important tool in modern mathematical physics, which was first proposed by the famous mathematician Sophus Lie. Based on the invariance of differential equations under Lie group transformation, Lie group algorithm can solve nonlinear equations, and its solution steps are easy to standardize and program, with a wide range of applications. The author of this article applies the Lie group algorithm to mechanical mechanics, electromagnetic mechanics, fluid dynamics, and computer vision technology. The biggest feature of this book is that the author provides detailed solutions and application results of the Lie group algorithm, with detailed calculations and reliable results. The author's application case has a clear physical background and is not a purely mathematical formula, making it suitable for a wide range of readers.The publication of this book will greatly contribute to the further development of the Lie group algorithm.
The Princeton Colloquium
"The Princeton Colloquium" presents a series of lectures on mathematics delivered from September 15 to 17, 1909, before members of the American Mathematical Society at Princeton University. This volume captures a pivotal moment in the history of mathematics, offering insights into the key ideas and challenges that occupied mathematicians at the beginning of the 20th century. Featuring contributions from leading mathematical minds of the time, including Gilbert Ames Bliss and Edward Kasner, this collection provides a valuable snapshot of the state of mathematical knowledge and research. It serves as a historical record and a resource for anyone interested in the evolution of mathematical thought and the proceedings of a major mathematical gathering.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
An Interpolation Theory for Metric Spaces
In this book we develop a theory to apply interpolation results from normed spaces to metric spaces. This material is based on my doctoral thesis, however, with much more detail and care so that the reader does not need many other prerequisites. The language is accessible and modern and is not focused on Categories and Functors as usual theory does. Here the environment is very familiar to readers who have taken Calculus and Real Analysis courses. Mathematical objects used are defined for greater reader comfort.
Discovering Mathematics
This publication is the result of many years of research. The author presents his own scientific results in such fields of mathematics as algebra, cryptology, number theory, and economic mathematics, divided into 7 chapters. The first chapter is closest scientifically to the author. The author presents an innovative approach to square-free and radical factorizations, which is a generalization of classical factorizations. The problem of factoring numbers into prime factors is familiar to many, but often this problem is complex and depends on the number structure or other more advanced algebraic structures. The results in this publication will usually refer to the structure of monoids, and therefore in particular to classical integers. In this book you will find refreshed and latest results on polynomial composites. Moreover, the author examined the inverse Galois problem for any finite group. We can still find cryptology results: a generalization of the classical RSA cipher and the Diffie-Hellman protocol, which can have a significant impact on data security in the digital age. Generalization involves moving from classical number theory to algebra. This cryptology chapter also includes proposals for cryptosystems based on Dedekind rings. Another interesting addition is the creation of a cryptosystem based on Galois groups, which may be something completely foreign to non-mathematicians. The author, moreover, presents results regarding the over a hundred-year-old hypotheses of Wieferich, Artin and Dirichlet regarding quadratic congruences in the world of number theory. We can find another of the author's student ambitions. The results come from his master's thesis on the Riemann hypothesis. In the las chapter, the reader will find proposals for securing the cost and production functions, which may be of significant importance for industry and economics. The author presents a mathematical model that improves the preference theory by analyzing the differences between individual and social preferences.
Engineering Mathematics with MATLAB
This textbook takes a streamlined, practical approach, designed to make engineering mathematics accessible and manageable. An invaluable resource for instructors seeking effective teaching tools and for students aiming to build strong mathematical foundations that they can apply to their own engineering discipline.
Inverse Problems in Differential Equations
No detailed description available for "Inverse Problems in Differential Equations".
Real Analysis
This book is designed to serve as a comprehensive textbook for undergraduate students studying at Indian universities and engineering institutes, including the prestigious Indian Institutes of Technology. Real Analysis is recognized as a core subject in undergraduate mathematics programs, and a solid grasp of this topic is essential for further study in advanced mathematics and related fields. The course typically requires a background in Higher Secondary level mathematics, particularly in calculus. However, to ensure accessibility for all students, the authors have thoughtfully included an introductory chapter on Set Theory. This addition makes the book more self-contained and suitable even for those who may need a refresher on foundational concepts.The text not only covers the fundamental topics expected in a first course in Real Analysis-such as sequences, series, limits, continuity, and differentiability-but also places strong emphasis on conceptual clarity. To support this goal, the authors have included a wide range of carefully selected examples throughout the book. These examples are aimed at enhancing student understanding and reinforcing key ideas by illustrating how theoretical concepts apply in practical contexts.Overall, this book stands as a valuable resource for undergraduate students of mathematics, offering both depth and clarity. It is especially helpful for those preparing for further studies or competitive examinations in mathematical sciences.
A Course of Mathematics
A Course of Mathematics, designed for the use of officers and cadets at the Royal Military College, presents a comprehensive two-volume exploration of essential mathematical principles. Authored by Isaac Dalby, this meticulously structured course provides a solid foundation in mathematics, tailored for military applications. From fundamental concepts to advanced techniques, the volumes cover a wide range of topics, including algebra, geometry, trigonometry, and calculus. This historic text offers a unique glimpse into the mathematical education provided to military personnel in the 19th century. Its detailed explanations and practical examples make it a valuable resource for anyone interested in the history of mathematics education or the application of mathematical principles in military contexts. "A Course of Mathematics" remains a testament to the importance of mathematical proficiency in military training and strategic thinking.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Geschichte der Mathematischen Wissenschaften. Erster-zweiter Teil
"Geschichte der Mathematischen Wissenschaften. Erster-zweiter Teil" by Heinrich Suter, originally published in 1875, is a comprehensive historical account of the mathematical sciences. This meticulously researched work provides invaluable insights into the development of mathematics through the ages. Suter's detailed narrative explores key figures, significant discoveries, and the evolution of mathematical thought. This historical text serves as a crucial resource for scholars, students, and anyone interested in the rich heritage of mathematical knowledge. The book captures the intellectual climate of the 19th century, offering a glimpse into the foundations upon which modern mathematics was built.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Elements of Analytic Trigonometry, Plane and Spherical
"Elements of Analytic Trigonometry, Plane and Spherical" by Ferdinand Rudolph Hassler, originally published in 1826, offers a comprehensive exploration of trigonometric principles. This classic text meticulously details the fundamental elements of both plane and spherical trigonometry. It provides a rigorous and systematic approach suitable for students and scholars seeking a deep understanding of analytic trigonometry during the early 19th century.Hassler's work presents a valuable historical perspective on the development of mathematical thought and instructional practices. This edition retains the original content, ensuring its accessibility to contemporary readers interested in historical mathematics and the foundational concepts of trigonometry and geometry.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Syntaxis Mathematica Volume 1
Syntaxis Mathematica, Volume 1, by Ptolemy Ptolemy, is a seminal work in the history of mathematics and astronomy. Originally written in Greek, this volume presents Ptolemy's systematic treatment of mathematical astronomy, offering insights into the geometrical models used to explain celestial motions. This historical text provides a detailed account of early astronomical theories and mathematical techniques. It remains a valuable resource for scholars interested in the history of science and the development of mathematical thought. 璽€œSyntaxis Mathematica璽€ showcases Ptolemy's genius and his profound impact on the understanding of the cosmos.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Syntaxis Mathematica Volume 1
Syntaxis Mathematica, Volume 1, by Ptolemy Ptolemy, is a seminal work in the history of mathematics and astronomy. Originally written in Greek, this volume presents Ptolemy's systematic treatment of mathematical astronomy, offering insights into the geometrical models used to explain celestial motions. This historical text provides a detailed account of early astronomical theories and mathematical techniques. It remains a valuable resource for scholars interested in the history of science and the development of mathematical thought. 璽€œSyntaxis Mathematica璽€ showcases Ptolemy's genius and his profound impact on the understanding of the cosmos.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Number Concept
"The Number Concept: Its Origin and Development" explores the fascinating history of how humans developed and used numbers across different cultures and throughout history. Levi Leonard Conant delves into the origins of counting systems, examining the diverse methods employed by various societies to quantify and manipulate numerical values. From the simplest tally marks to complex arithmetic systems, this book traces the evolution of numerical understanding and its profound impact on civilization.Conant's work offers insights into the anthropological significance of numbers, revealing how different cultures perceived and utilized them in daily life, trade, and religious practices. By examining the unique approaches of various societies, the book illuminates the universal human quest to understand and master the concept of number, making it an essential read for anyone interested in the history of mathematics, cultural anthropology, or the development of human thought.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
An Elementary Course in the Integral Calculus
"An Elementary Course in the Integral Calculus" by Daniel Alexander Murray offers a comprehensive introduction to the principles and applications of integral calculus. Originally published in 1898, this textbook provides a structured approach to understanding integration techniques, making it an invaluable resource for students and educators alike. The book covers a wide range of topics, from basic integration rules to more advanced methods, ensuring a solid foundation in the subject. Murray's clear and concise explanations, coupled with numerous examples and exercises, make this text accessible to learners of all levels. This historical edition remains relevant for its rigorous treatment of the subject matter and its contribution to the development of mathematical education.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Trigonometry for Schools and Colleges
"Trigonometry for Schools and Colleges" by Frederick Anderegg, first published in 1896, is a comprehensive textbook designed to introduce students to the fundamental principles of trigonometry. This classic text covers a range of topics, including trigonometric functions, identities, equations, and their applications in geometry and other fields. Intended for use in both secondary schools and higher education, the book provides a structured approach to learning trigonometry, with clear explanations and numerous examples. This enduring educational resource remains valuable for students seeking a solid foundation in trigonometry and for educators looking for a time-tested teaching aid.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Trigonometry for Schools and Colleges
"Trigonometry for Schools and Colleges" by Frederick Anderegg, first published in 1896, is a comprehensive textbook designed to introduce students to the fundamental principles of trigonometry. This classic text covers a range of topics, including trigonometric functions, identities, equations, and their applications in geometry and other fields. Intended for use in both secondary schools and higher education, the book provides a structured approach to learning trigonometry, with clear explanations and numerous examples. This enduring educational resource remains valuable for students seeking a solid foundation in trigonometry and for educators looking for a time-tested teaching aid.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
An Elementary Course in the Integral Calculus
"An Elementary Course in the Integral Calculus" by Daniel Alexander Murray offers a comprehensive introduction to the principles and applications of integral calculus. Originally published in 1898, this textbook provides a structured approach to understanding integration techniques, making it an invaluable resource for students and educators alike. The book covers a wide range of topics, from basic integration rules to more advanced methods, ensuring a solid foundation in the subject. Murray's clear and concise explanations, coupled with numerous examples and exercises, make this text accessible to learners of all levels. This historical edition remains relevant for its rigorous treatment of the subject matter and its contribution to the development of mathematical education.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Elements of Analytic Trigonometry, Plane and Spherical
"Elements of Analytic Trigonometry, Plane and Spherical" by Ferdinand Rudolph Hassler, originally published in 1826, offers a comprehensive exploration of trigonometric principles. This classic text meticulously details the fundamental elements of both plane and spherical trigonometry. It provides a rigorous and systematic approach suitable for students and scholars seeking a deep understanding of analytic trigonometry during the early 19th century.Hassler's work presents a valuable historical perspective on the development of mathematical thought and instructional practices. This edition retains the original content, ensuring its accessibility to contemporary readers interested in historical mathematics and the foundational concepts of trigonometry and geometry.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Geschichte der Mathematischen Wissenschaften. Erster-zweiter Teil
"Geschichte der Mathematischen Wissenschaften. Erster-zweiter Teil" by Heinrich Suter, originally published in 1875, is a comprehensive historical account of the mathematical sciences. This meticulously researched work provides invaluable insights into the development of mathematics through the ages. Suter's detailed narrative explores key figures, significant discoveries, and the evolution of mathematical thought. This historical text serves as a crucial resource for scholars, students, and anyone interested in the rich heritage of mathematical knowledge. The book captures the intellectual climate of the 19th century, offering a glimpse into the foundations upon which modern mathematics was built.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
High-Accuracy Methods for Singular Perturbation Problems
This book presents efficient numerical strategies for solving singular perturbation problems, particularly focus on differential-difference equations involving small delay parameters. Singular perturbation problems in various fields of engineering and applied sciences such as fluid dynamics, elasticity, quantum mechanics, electrical networks, are known for their boundary layer behavior, which challenges conventional numerical methods. This book reviews the theoretical background and existing literature before introducing two high-accuracy techniques: a Fourth-Order Adaptive Cubic Spline Method and a Variable Mesh Scheme. These methods are rigorously analyzed for stability, convergence, accuracy and are validated through extensive numerical experimentation. The work is motivated by the limitations of classical techniques and addresses the growing demand for robust computational methods in fields such as fluid dynamics, quantum mechanics, and reaction- diffusion process.
Complex functions and integral transforms - Part I
This comprehensive textbook explores the theory and applications of complex functions in mathematics. Beginning with the foundations of complex numbers (z = x + iy), the book develops the geometric interpretation of the complex plane where these numbers reside. The core chapters examine mappings of complex numbers, covering linear transformations, M繹bius transformations, and conformal mappings, with special emphasis on the Riemann mapping theorem that allows conformally mapping any simply connected domain onto the unit disk.The text progresses to analytic functions, characterized by the Cauchy-Riemann equations, setting the groundwork for complex integration. The integration chapters develop the theory methodically, explaining path integrals, Cauchy's Integral Theorem (showing that integrals of analytic functions around closed contours equal zero), and path independence properties. Particular attention is given to function complex integration, covering contour deformation techniques, branch cuts for multi-valued functions, and integration on unbounded domains including Jordan's lemma.
Structured Epistemic Truth Volume I
SEMT Volume I introduces the Structured Epistemic Model of Truth, a framework that unites logic, epistemology, and complexity theory to address core issues in bounded AI and knowledge verification. Drawing from G繹del, Turing, and modern AI debates, the book proposes a non-classical conception of truth suited to agents operating under cognitive and resource constraints. It redefines epistemic rigor for computationally limited reasoners.
2024-2025 Middle School Contest Materials
This book contains one year of mathleague.org middle school tests and answer keys: 6 qualifying-level test sets and one national-level test set. Each test set contains a Sprint, Target, Team, and Countdown test.
Developing Queue Network Model with Bulk Arrival
This book explores the steady state analysis of bi-serial servers with bulk arrival. The book consists of two chapters. In the first chapter bi serial servers linked to a common sever has been analysed. The arriving unit enters into the system at bi-serial servers in batches of fixed size. Various queue characteristics have been obtained using generating function technique.The second chapter studies the network model with probabilistic batch arrival under geometrical distribution. The queue characteristics of the model has been analysed for two parameters under geometrical distribution. Numerical analysis is also done to check the validity of the model.
Heat and Mass Transfer Analysis of Non-Newtonian Flow through Cylinder
The present trend follows the advanced technology in any part of life, also as the same cooling and heating is main concept in almost every industrial, engineering sector and so to enhance and reduce heat transfer rate there are several properties regarding heat transfer phenomena by nanoparticles. There is much development and necessity in the study of Nano-fluid flow over boundary layer through inclined cylinder. For that, we have numerous of active and passive technique that aids in enhancing the heat transfer characteristic of convectional fluids.
New Models of SUDOKU
The author of New Models of Sudoku, Nael Qutub, is a well-versed and experienced math teacher of various programmes at middle and high schools. He wanted the puzzles not only to entertain, but also to stimulate the thinking skills of puzzle-solvers while reinforcing simple math concepts by placing the right number in the right place while going around and across the 9x9 grid.The author offers a unique and enjoyable way to engage reasoning through a new style of Sudoku while avoiding stress. It is the kind of puzzle that contributes to memory improvement and mental clarity.New Models of Sudoku is an excellent tool for challenging and enhancing the mindset and logic of individuals. It takes Sudoku a step further, whereby the numbers used have a meaning. Incorporating mathematical elements will make the puzzle a rewarding experience for those who embrace changes and challenges.While most Sudoku puzzles have three levels, New Models of Sudoku, to the contrary, has six levels ranging from Beginner to Expert levels to accommodate all sorts of abilities and skills. Calculators are NOT needed. TRY TO SOLVE THE NEW MODELS!
Regularity for the 3D Navier-Stokes Equations with Damping
This book is concerned with the 3D Navier-Stokes equations with damping(DNS). We've obtained some important results such as the uniqueness of the weak solutions and the existence of the strong solutions while studying DNS for several years.In the current edition, we synthesis and analysis these results as well as make our effort to give the proofs of them in detail and perfectly. However, in this process, we have benefited enormously.In conclusion, I hope that the interested scientist will enjoy this book and derive great benefit from reading it just as I did while writing it.
Notes, Problems and Solutions in Differential Equations
This book is designed for senior undergraduate and graduate students pursuing courses in mathematics, physics, engineering and biology. The text begins with a study of ordinary differential equations. The concepts of first- and second-order equations are covered initially. It moves further to linear systems, series solutions, regular Sturm-Liouville theory, boundary value problems and qualitative theory. Thereafter, partial differential equations are explored. Topics such as first-order partial differential equations, classification of partial differential equations and Laplace and Poisson equations are also discussed in detail. The book concludes with heat equation, one-dimensional wave equation and wave equation in higher dimensions. It highlights the importance of analysis, linear algebra and geometry in the study of differential equations. It provides sufficient theoretical material at the beginning of each chapter, which will enable students to better understand the concepts and begin solving problems straightaway.
A mathematical analysis of the corruption dynamics model
This book presents a comprehensive mathematical analysis of a corruption dynamics model, integrating optimal control strategies to mitigate corruption in various systems. The research explores the underlying mechanisms of corruption, examining how it spreads and affects societal structures. By employing advanced mathematical techniques, the study develops a model that captures the dynamics of corruption and identifies effective control measures. The findings provide valuable insights for policymakers and researchers, offering a framework for understanding and addressing corruption through strategic interventions. This work contributes to the field of applied mathematics by demonstrating the practical application of mathematical modeling in social issues, making it a significant resource for scholars, practitioners, and students interested in the intersection of mathematics and social sciences.
Discrete Mathematics
This book has been carefully structured in accordance with the model syllabus prescribed by the University Grants Commission (UGC), India. It is ideally suited for undergraduate students pursuing B.Tech in Computer Science and Engineering or Mathematics, as well as postgraduate students enrolled in M.C.A. (Master of Computer Applications) or M.Sc. Mathematics programs.To make the book self-contained and accessible, it begins with foundational chapters on Mathematical Logic and Set Theory, which are essential components of the curriculum. Building upon these basics, the book introduces a wide array of key topics relevant to both Computer Science and Mathematics, including Combinatorics, Graph Theory, and Algebraic Structures such as Groups, Rings, and Boolean Algebra.In addition to traditional topics, the book includes important subjects like Finite State Machines (Theory of Computation) and Probability, making it a comprehensive guide for students navigating the intersection of mathematics and computer science.The content is presented in a simple, lucid, and student-friendly manner, with numerous examples and applications that demonstrate the practical relevance of abstract concepts, especially in the domain of Computer Science.To enhance its academic scope, the book also offers a final chapter on Fuzzy Set Theory-a modern extension of classical set theory-introducing students to contemporary topics in mathematical reasoning and logic. Overall, it is an excellent academic and reference resource.
Intuitionistic Fuzzy Digital Spaces
This book is intended to define and analyse the geometrical and topological properties among the digital subsets of the digital images such as convexity, convex envelopes, continuity, connectedness and r-simplexes with the background of intuitionistic fuzzy logic. As an example automated detection of diabetic retinopathy using intuitionistic fuzzy digital convex envelope segmentation algorithm is propounded. As the co-extension of the above notions, some of the maps between the digital images such as continuous maps, connected maps, C-maps and enfolding maps are presented and investigated with intuitionistic fuzzy logic. Finally, intuitionistic fuzzy digital topology is framed up. Under this notion, CS - filtered spaces and Hausdorff CS - filtered spaces are instigated.
