Manual of Algebra
Manual of Algebra is a comprehensive guide to Algebra, written by William Guy Peck. It covers all aspects of Algebra, including the fundamental principles, equations, polynomials, quadratic equations, the binomial theorem, progression, and logarithms. This book is recommended for students and teachers of Mathematics, as well as those who want to improve their Algebra knowledge.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 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.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 Treatise on Frontier's Series & Spherical, Cylindrical & Ellipsoidal Harmonics
An exploration of the mathematical principles underlying the study of harmonic functions on the sphere, cylinder, and ellipsoid, this comprehensive textbook is an essential resource for anyone interested in the frontiers of applied mathematics.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 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.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.
Goodykoontz's Perpetual Calendar and General Reference Manual. A Book for the Millions (
Jasper Goodykoontz's Perpetual Calendar and General Reference Manual is an essential tool for anyone looking to organize their time and keep track of important events. With its easy-to-use format and comprehensive reference section, this manual is a must-have for busy professionals, students, and homemakers alike. Whether you need to keep track of appointments, plan your meals for the week, or find the address of a local business, Goodykoontz's Perpetual Calendar has got you covered. Get organized today and see how much more you can accomplish with this invaluable resource at your fingertips.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 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.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 Improv'D, and Projection of the Sphere, Made Easy
This practical guide to trigonometry and spherical projection offers clear explanations and practical examples that make complex concepts easy to understand. With a focus on real-world applications, this book is ideal for students, engineers, and anyone who wants to develop a deeper understanding of the properties of circles and spheres.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 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.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.
Longmans' School Mensuration
This classic textbook on geometry and measurement is a must-have for students and educators alike. With clear explanations, helpful examples, and challenging exercises, it offers a comprehensive overview of this essential field of mathematics.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 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.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.
Seven Lessons in Theory of Inversions of Order and Determinants
Benjamin Feland Groat's informative and accessible lessons on the theory of inversions of order and determinants are essential reading for anyone interested in mathematics.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 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.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 Accelerated Bisection Method for the Calculation of Eigenvalues of a Symmetric Tridiagonal Matrix
This groundbreaking text introduces an innovative new method for calculating eigenvalues of symmetric tridiagonal matrices using accelerated bisection, a technique that greatly reduces the computational complexity of the problem. Written with both the advanced student and the active researcher in mind, this book offers a thorough treatment of the theoretical underpinnings of the method and provides detailed examples of its application in a variety of contexts.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 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.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.
A Treatise On the Doctrine of Numerical Series, Both Ascending and Descending
In this comprehensive mathematical treatise, Jackman explores the complex patterns and relationships that underlie numerical series and the binomial theorem. With clear explanations and rigorous proofs, this book is an essential resource for anyone interested in the foundations of mathematical analysis.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 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.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.
Mathematics Research for the Beginning Student, Volume 1
Mathematics research opportunities for undergraduate students have grown significantly in recent years, but accessible research topics for first- and second-year students with minimal experience beyond high school mathematics are still hard to find. To address this need, this volume provides beginning students with specific research projects and the tools required to tackle them. Most of these projects are accessible to students who have not yet taken Calculus, but students who know some Calculus will find plenty to do here as well. Chapters are self-contained, presenting projects students can pursue, along with essential background material and suggestions for further reading. Suggested prerequisites are noted at the beginning of each chapter. Some topics covered include: games on graphsmodeling of biological systemsmosaics and virtual knotsmathematics for sustainable humanitymathematical epidemiologyMathematics Research for the Beginning Student, Volume 1 will appeal to undergraduate students at two- and four-year colleges who are interested in pursuing mathematics research projects. Faculty members interested in serving as advisors to these students will find ideas and guidance as well. This volume will also be of interest to advanced high school students interested in exploring mathematics research for the first time. A separate volume with research projects for students who have already studied calculus is also available.
Bayes Factors for Forensic Decision Analyses with R
Bayes Factors for Forensic Decision Analyses with R provides a self-contained introduction to computational Bayesian statistics using R. With its primary focus on Bayes factors supported by data sets, this book features an operational perspective, practical relevance, and applicability--keeping theoretical and philosophical justifications limited. It offers a balanced approach to three naturally interrelated topics: Probabilistic Inference - Relies on the core concept of Bayesian inferential statistics, to help practicing forensic scientists in the logical and balanced evaluation of the weight of evidence.Decision Making - Features how Bayes factors are interpreted in practical applications to help address questions of decision analysis involving the use of forensic science in the law.Operational Relevance - Combines inference and decision, backed up with practical examples and complete sample code in R, including sensitivity analyses and discussion on how to interpret results in context.Over the past decades, probabilistic methods have established a firm position as a reference approach for the management of uncertainty in virtually all areas of science, including forensic science, with Bayes' theorem providing the fundamental logical tenet for assessing how new information--scientific evidence--ought to be weighed. Central to this approach is the Bayes factor, which clarifies the evidential meaning of new information, by providing a measure of the change in the odds in favor of a proposition of interest, when going from the prior to the posterior distribution. Bayes factors should guide the scientist's thinking about the value of scientific evidence and form the basis of logical and balanced reporting practices, thus representing essential foundations for rational decision making under uncertainty.This book would be relevant to students, practitioners, and applied statisticiansinterested in inference and decision analyses in the critical field of forensic science. It could be used to support practical courses on Bayesian statistics and decision theory at both undergraduate and graduate levels, and will be of equal interest to forensic scientists and practitioners of Bayesian statistics for driving their evaluations and the use of R for their purposes.This book is Open Access.
Elements of Geometry, Geometrical Analysis, and Plane Trigonometry
First published in 1821, this book is a classic work of mathematics that has stood the test of time. John Leslie, a Scottish mathematician and physicist, presents a clear and concise exposition of the principles of geometry, analysis, and trigonometry, with numerous examples and exercises to help students master the material. This is an essential resource for anyone interested in the foundations of mathematics.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 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.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.
Lectures on the Theory of Functions of Real Variables. v. 1-2
These lectures explore the theory of functions of real variables, offering a deep dive into the mathematical concepts and techniques underlying modern analysis. Pierpont's approach balances mathematical rigor and accessibility, making this work an essential resource for anyone interested in the foundations of modern calculus and analysis.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 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.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.
Mathematical and Physical Papers; Volume 4
This book is a collection of papers on mathematics and physics by three eminent scholars - Baron John William Strutt Rayleigh, George Gabriel Stokes, and Joseph Larmor. It is a vital resource for researchers, scholars, and students of mathematics and physics.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 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.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.
Mathematical Philosophy
Gain a new appreciation for the intersection of mathematics and philosophy with this fascinating collection of lectures. Cassius Jackson Keyser explores topics ranging from determinism and indeterminacy to the nature of infinity, offering readers a glimpse into the wondrous world of mathematical philosophy.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 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.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.
Solutions of the Cambridge Senate-House Problems for Four Years 1848-51
This book is a treasure trove of mathematical problems and their solutions, as tackled by the brightest minds at Cambridge in the mid-19th century. Whether you're a student of math or simply curious about the inner workings of the discipline, Solutions of the Cambridge Senate-House Problems is sure to fascinate you.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 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.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 Collected Mathematical Papers of James Joseph Sylvester
A compilation of the groundbreaking mathematical papers by the eminent British mathematician James Joseph Sylvester, this work provides insights into the development of algebraic and number theory in the 19th century.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 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.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.
A History of Mathematics
A comprehensive survey of the development of mathematics from prehistoric times to the present day, tracing its impact on philosophy, science, and technology.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 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.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.
Logic; Volume 1
Logic is a classic textbook on the principles of deductive reasoning. It provides a valuable introduction to the principles of logic and reasoning and their application to everyday life. This book is essential reading for anyone interested in understanding the fundamentals of logic and its application in the modern world.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 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.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 Collected Mathematical Works of George William Hill
George William Hill was a renowned American astronomer and mathematician, and this book collects his most important mathematical works. It covers a wide range of topics, from celestial mechanics to algebra and geometry, and includes many of Hill's most important proofs and formulas. This book is a must-read for anyone interested in the history of mathematics or astronomy.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 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.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.
Proceedings of the Royal Society of London; Volume 7
The Proceedings of the Royal Society of London is a scientific journal published by the Royal Society of London. It contains papers on a wide range of scientific topics, including physics, chemistry, biology, and mathematics. The papers are written by leading scientists from around the world and are peer-reviewed to ensure their accuracy and quality. The journal is an essential resource for anyone working in the sciences.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 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.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.
Cassier's Magazine; Volume 28
This book is a periodical publication that was issued monthly between 1891 and 1913, featuring articles on a variety of topics including engineering, industry, and technology. It aimed to provide a platform for professional engineers and industrialists to share their knowledge, experience, and insights with a wider audience.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 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.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.
Mathematische Annalen; Volume 9
A groundbreaking mathematical journal edited by some of the greatest minds in the field, including Albert Einstein, David Hilbert, and Felix Klein. With articles on a wide range of topics, from number theory to topology, this journal remains an essential resource for mathematicians to this day.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 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.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.
Theoria Motuum Lunae Nova Methodo Pertractata
Euler's treatise on lunar motion represents a major advance in the field of celestial mechanics. In this work, he introduces a new method for calculating the position of the moon, which quickly gained acceptance among astronomers of his day.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 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.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.
A Treatise On Analytical Statics
This classic treatise on mathematical physics provides a detailed account of the principles of statics, with a special focus on parallelogram and polygon of forces. The author explains complex concepts in a simple and accessible manner, making it an ideal textbook for students and professionals alike.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 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.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.
Elementary Algebra
This comprehensive guide to elementary algebra covers all the principles and fundamentals of the subject. Suitable for students and teachers alike, this book is an essential resource for anyone looking to improve their knowledge of algebra.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 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.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.
A Treatise on Some new Geometrical Methods; Volume 2
Booth's groundbreaking treatise introduces new geometrical methods that offer unparalleled advantages over existing approaches. Profusely illustrated and expertly written, this is essential reading for students and professionals alike.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 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.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.
Examples in Algebra
Whether you're a student or teacher of algebra, this comprehensive textbook has everything you need to excel in the subject. With over eight thousand exercises and problems, the book is carefully graded to provide a challenging but rewarding learning experience.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 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.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.
A Treatise On the Differential Calculus
Isaac Todhunter's "A Treatise on the Differential Calculus" is an essential guide for anyone learning this complex mathematical concept. Packed with numerous examples, Todhunter's book provides a clear and concise explanation of the differential calculus and its applications.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 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.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 and Integral Calculus
This textbook provides an introduction to differential and integral calculus, with a focus on applications in engineering. The book includes numerous examples and exercises, as well as a range of appendices covering topics like mathematical tables and integral formulas. This is an essential resource for anyone studying 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 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.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.
Survey Data Harmonization in the Social Sciences
Survey Data Harmonization in the Social Sciences An expansive and incisive overview of the practical uses of harmonization and its implications for data quality and costs In Survey Data Harmonization in the Social Sciences, a team of distinguished social science researchers delivers a comprehensive collection of ex-ante and ex-post harmonization methodologies in the context of specific longitudinal and cross-national survey projects. The book examines how ex-ante and ex-post harmonization work individually and in relation to one another, offering practical guidance on harmonization decisions in the preparation of new data infrastructure for comparative research. Contributions from experts in sociology, political science, demography, economics, health, and medicine are included, all of which give voice to discipline-specific and interdisciplinary views on methodological challenges inherent in harmonization. The authors offer perspectives from Europe and the United States, as well as Africa, the latter of which provides insights rarely featured in survey research methodology handbooks. Readers will also find: A thorough introduction to approaches and concepts for survey data harmonization, as well as the effects of data harmonization on the overall survey research process Comprehensive explorations of ex-ante harmonization of survey instruments and non-survey data Practical discussions of ex-post harmonization of national social surveys, census and time use data, including explorations of survey data recycling A detailed overview of statistical issues linked to the use of harmonized survey data Perfect for upper undergraduate and graduate researchers who specialize in survey methodology, Survey Data Harmonization in the Social Sciences will also earn a place in the libraries of survey practitioners who engage in international research.
Starting Category Theory
One of the central highlights of this work is the exploration of the Yoneda lemma and its profound implications, during which intuitive explanations are provided, as well as detailed proofs, and specific examples. This book covers aspects of category theory often considered advanced in a clear and intuitive way, with rigorous mathematical proofs. It investigates universal properties, coherence, the relationship between categories and graphs, and treats monads and comonads on an equal footing, providing theorems, interpretations and concrete examples. Finally, this text contains an introduction to monoidal categories and to strong and commutative monads, which are essential tools in current research but seldom found in other textbooks.Starting Category Theory serves as an accessible and comprehensive introduction to the fundamental concepts of category theory. Originally crafted as lecture notes for an undergraduate course, it has been developed to be equally well-suited for individuals pursuing self-study. Most crucially, it deliberately caters to those who are new to category theory, not requiring readers to have a background in pure mathematics, but only a basic understanding of linear algebra.
Tale of Discrete Mathematics, A: A Journey Through Logic, Reasoning, Structures and Graph Theory
Topics covered in Discrete Mathematics have become essential tools in many areas of studies in recent years. This is primarily due to the revolution in technology, communications, and cyber security. The book treats major themes in a typical introductory modern Discrete Mathematics course: Propositional and predicate logic, proof techniques, set theory (including Boolean algebra, functions and relations), introduction to number theory, combinatorics and graph theory.An accessible, precise, and comprehensive approach is adopted in the treatment of each topic. The ability of abstract thinking and the art of writing valid arguments are emphasized through detailed proof of (almost) every result. Developing the ability to think abstractly and roguishly is key in any areas of science, information technology and engineering. Every result presented in the book is followed by examples and applications to consolidate its comprehension. The hope is that the reader ends up developing both the abstract reasoning as well as acquiring practical skills.All efforts are made to write the book at a level accessible to first-year students and to present each topic in a way that facilitates self-directed learning. Each chapter starts with basic concepts of the subject at hand and progresses gradually to cover more ground on the subject. Chapters are divided into sections and subsections to facilitate readings. Each section ends with its own carefully chosen set of practice exercises to reenforce comprehension and to challenge and stimulate readers.As an introduction to Discrete Mathematics, the book is written with the smallest set of prerequisites possible. Familiarity with basic mathematical concepts (usually acquired in high school) is sufficient for most chapters. However, some mathematical maturity comes in handy to grasp some harder concepts presented in the book.
Continuos-Time Markov-Modulated Chains in Operations Research
Probabilistic models are widely used for description and an analysis of various processes in system reliability, risk, queuing, data communication, logistic and storage systems. The book contains various applications of the theory of continuous-time Markov-modulated processes in operation research. All analytical results are illustrated by numerical computations. Used algorithms allow overcoming computation difficulties successfully. For example, a calculation of transient probabilities of states for a continuous-time finite Markov chain uses eigenvalues and eigenvectors of the corresponding matrix (generator). In a more complex case of differential or integral equations, such a simple explicit form of a solution is missing. The explicit form of solution is presented by means of infinity sums of functions. For example, often we have to deal with the so-called renewal equation. Its solution is presented as an infinite sum of the renewal function. In this case, an approximation of functions of interest and iterative computation procedures are used.
Key to Davies' University Arithmetic, for the Use of Teachers Only
This book provides a key to understanding university arithmetic according to the philosophy of Charles Davies, which is intended for teachers onlyThis 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 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.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.
A Chapter in the Integral Calculus
In this classic work of mathematical analysis, George Greenhill explores a key chapter in integral 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 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.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 50 Centimetre Slide-Rule As Applied to Tacheometry and Curve-Ranging With Tables
This practical guide to the use of the slide-rule in surveying offers a wealth of tips and techniques for anyone seeking to master this essential tool. Written by a renowned expert in the field, it is an indispensable resource for students and professionals alike.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 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.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.
Nonlinear Evolution of Longitudinal Plasma Waves
In this groundbreaking work, Youngping Pao presents an original theory of nonlinear wave propagation in plasma. He explains how longitudinal waves, which are ubiquitous in plasma physics, can undergo nonlinear evolution and become solitons - self-reinforcing waves that maintain their shape and intensity as they propagate. Pao's theory has important implications for a wide range of fields, from astrophysics to fusion research. His clear and concise writing style makes the book accessible to students and researchers alike. It is an indispensable resource for anyone interested in plasma physics or nonlinear dynamics. 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 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.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.
Calculating Companion for the Slide Rule
James L. Rowland provides readers with invaluable insights into mathematical calculations using the slide rule. This is an excellent resource for anyone interested in mathematics, engineering, or science.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 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.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.
Elementary Algebra
A thorough and accessible introduction to algebra, intended for high school and college students. The book includes clear explanations, ample exercises, and real-world applications, making it an ideal resource for self-study.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 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.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.
Notes On the Elements of Algebra and Trigonometry With Solutions of the More Difficult Questions
This comprehensive guide to algebra and trigonometry offers readers tips and tricks to tackle even the most challenging of problems. With detailed solutions to the most difficult questions, this book is perfect for students and professionals alike.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 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.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 Easy Introduction to the Higher Treatises On the Conic Sections. [With] Key](https://cdn.kingstone.com.tw/english/images/product/7755/9781019927755m.webp?Q=f0f51 "An Easy Introduction to the Higher Treatises On the Conic Sections. [With] Key")
An Easy Introduction to the Higher Treatises On the Conic Sections. [With] Key
This book serves as a beginner's guide to understanding the conic sections, including circles, ellipses, parabolas, and hyperbolas. It covers the basic concepts and equations, as well as practical applications in mathematics and engineering. With clear explanations and examples, this book is perfect for students and professionals alike.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 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.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.
Engineering Contracts and Specifications
Originally published in 1914, this comprehensive guide to engineering contracts remains a key reference for engineers, architects, and contractors to this day. The book covers all aspects of the contracting process, from negotiation to completion, and includes numerous examples and case studies to illustrate best practices and common pitfalls. The author, a noted civil engineer and professor, also provides an overview of the legal principles that underpin engineering contracts.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 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.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.
Imprisonment for Debts Bill
Effingham Wilson presents a compelling discussion of the controversial issue of imprisonment for debt. With insight and nuance, Wilson explores both sides of the debate, shedding light on a topic of great social and political importance.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 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.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.
On a New Method of Obtaining the Differentials of Functions
In this groundbreaking book, Rice and Johnson present their new method for obtaining the differentials of functions. They provide fascinating insights into the Newtonian conception of rates and velocities and offer a fresh approach to an important mathematical problem that will appeal to scholars and students alike.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 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.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.
Some Proofs in Elementary Geometry
Explore the beauty and logic of geometry with this collection of classical proofs. Ideal for students and teachers alike, this book provides step-by-step explanations for key theorems and propositions, along with helpful diagrams and exercises.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 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.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 Differential Equations of Dynamics ...; Volume 1
This book presents an analytical treatment of the principles of dynamics. As with any other physical science, dynamics involves a mathematical description of the subject. Thus, this book develops the study of differential equations in dynamics in a systematic way. 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 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.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.
On the Conformal Representation of Plane Curves Particularly for the Cases P
This mathematical treatise explores the properties of conformal representation of plane curves and provides a detailed analysis of various cases. The author discusses the applications of conformal representation in the theory of functions and the geometry of surfaces. The book is aimed at advanced students and researchers in mathematics.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 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.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.
