Notes On Finite Differences
This classic mathematical text is an essential resource for students of calculus and differential equations. Sunderland's clear and concise explanations, along with his numerous examples and exercises, make this book an invaluable tool for anyone looking to master this fascinating subject.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 Field Practice of Laying Out Circular Curves for Railroads
This handy reference guide covers the fundamentals of laying out circular railroad curves in a variety of settings, providing detailed formulas, examples and exercises. A must-have for engineers, technicians and enthusiasts 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.
Transition to Proofs
This textbook is aimed at transitioning high-school students who have already developed proficiency in mathematical problem solving from numerical-answer problems to proof-based mathematics. It serves to guide students on how to write and understand mathematical proofs. It covers proof techniques that are commonly used in several areas of mathematics, especially number theory, combinatorics, and analysis. In addition to just teaching the mechanics of proofs, this book showcases key materials in these areas, thus introducing readers to interesting mathematics along with proof techniques.
Mathematical Tracts of the Late Benjamin Robins ...
A collection of mathematical treatises written by Benjamin Robins, an 18th century British mathematician and military engineer.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 Key of Solutions to Examples in Eaton’s Common School Arithmetic
This book provides a comprehensive set of solutions to problems found in Eaton's Common School Arithmetic, giving students the opportunity to check their work and improve their understanding of arithmetic concepts. It is an essential resource for students and teachers 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.
Finite and Infinite
Ryan's groundbreaking work explores the relationship between finite and infinite concepts, tracing their roots in philosophy, mathematics, and physics. With clear and accessible prose, Ryan illuminates the many ways in which the finite and infinite coexist and interact, providing readers with a deeper understanding of the mysteries of the universe. This book is an essential read for anyone interested in the intersection of science and 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.
Logarithmic and Other Mathematical Tables
This classic reference work on mathematical tables is an indispensable tool for scientists, engineers, and students. The author provides detailed logarithmic, trigonometric, and other mathematical tables, as well as examples of their use and helpful hints for computation. With its clear explanations and practical advice, this book is a must-have for anyone working with numbers.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.
Researches in the Calculus of Variations
First published in the 19th century, Todhunter's Researches in the Calculus of Variations is a classic of the mathematical literature. In this work, Todhunter explores the fundamental principles of the calculus of variations, a branch of mathematics concerned with finding the most efficient path or function between two points. Todhunter's lucid exposition and groundbreaking research make this book an essential resource for anyone interested in the history and development 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.
Histoire Des Sciences Math矇matiques Et Physiques, Volumes 11-12
In these volumes of Histoire des Sciences Math矇matiques et Physiques, Maximilien Marie offers a fascinating exploration of the history of mathematical and physical sciences. With detailed analysis and a wealth of information, Marie provides a comprehensive overview of this important field of 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.
Fatal Colours
This book provides a concise introduction to the principles of business arithmetic, including topics such as bookkeeping, banking, and commercial transactions. The author, Harry Anson Finney, was a professor of accounting and business at the University of Pittsburgh, and his expertise shines through in the clear and accessible writing style of this book. Whether you are a business student, an aspiring entrepreneur, or simply someone who wants to improve your financial literacy, this book is an essential guide.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.
Chained
This book explores the geometry behind gears and how they transmit a rotational movement between two axes, whether they are situated on the same plane or not. It delves into the intricacies of gear design and offers insights into their practical 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.
Analyzing Financial Statements
In this comprehensive guide, Stephen Gilman provides readers with the tools they need to analyze the financial statements of businesses, nonprofits, and other entities. An essential read for anyone interested in accounting, finance, or business.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.
Several Essays in Political Arithmetick
Several Essays in Political Arithmetick is a collection of early writings by William Petty, a pioneering economist and philosopher. In these essays, which were written in the mid-17th century, Petty explores a variety of topics related to political economy, including taxation, agriculture, and population growth. With his keen analytic mind and bold hypotheses, Petty laid the foundations for many of the theories that still underpin modern economics. Whether you are a student of economic history or simply interested in the evolution of economic thought, Several Essays in Political Arithmetick is a fascinating read.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.
Nica's Dream
Mathematische Annalen is a scientific journal dedicated to mathematics published by Springer-Verlag. This book is a compilation of articles published in Mathematische Annalen from the years 1869 to 1949, written by some of the most prominent mathematicians of the time, including Albert Einstein and David Hilbert. It is a must-read for anyone interested in the history 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.
Standard Arithmetic
Standard Arithmetic is a comprehensive guide to arithmetic at an intermediate level. Written by William J. Milne, a renowned mathematician and educator, this book provides a complete course of study for schools and academies. With clear explanations and extensive practice exercises, this book is an essential resource for anyone seeking a solid foundation in arithmetic.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 Problems and Examples
This book contains a collection of mathematical problems and examples from past Senate-House Examination Papers taken in the University of Cambridge from 1821 to 1836. This volume is ideal for students of mathematics and anyone interested in mathematical problem-solving. 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.
Ostrich Boys
First published in 1877, 'On the Theory of the Moon and on the Perturbations of the Planets' is a groundbreaking work of astronomical theory. Drawing on the latest data and computational methods of his era, the author presents a complex mathematical model of lunar motion and planetary perturbations. Though the book's technical details may prove challenging for non-specialists, its importance to the field of astronomy cannot be overstated.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 Course of Mathematics ...
Written by mathematician and educator Robert Adrain, this textbook provides a comprehensive overview of essential mathematical concepts and skills. Written for both classroom and individual study, this work includes clear explanations, numerous examples, and challenging exercises, making it an ideal resource for students of mathematics at all levels.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.
Hopper and Wilson
This book is a collection of research papers published in the prestigious journal Mathematische Annalen. It features groundbreaking work by prominent mathematicians such as David Hilbert and Albert Einstein, spanning topics from geometry to number theory.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 Tables
A landmark of mathematical scholarship, this volume collects logarithmic tables that enable users to easily calculate complex mathematical functions. The contributors - all esteemed mathematicians of their time - also provide detailed explanations of the tables' construction and use.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 Problems
This book provides detailed solutions to the challenging mathematical problems presented by the University of Cambridge between 1800 and 1820. Written by an experienced mathematician, this work is an important resource for students and educators alike. Illustrative diagrams and explanations help to clarify complex concepts and make this a valuable addition to any math library.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.
Matroid Theory
This classic mathematical treatise provides an in-depth analysis of the definition and properties of trigonometric functions. The author covers topics ranging from the use of complex numbers to the derivation of hyperbolic functions, and includes numerous examples and proofs. Essential reading for mathematicians and students of 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.
Tables for Renewing and Purchasing of the Leases of Cathedral-Churches and Colleges, According to Several Rates of Interest ... Also Tables for Renewing and Purchasing of Lives
Few people realize that Sir Isaac Newton, the great physicist and mathematician, was also a landowner and an expert in finance. In this fascinating book, Newton provides tables and calculations for the renewal and purchase of leases, as well as advice on investing and managing money. This work is a testament to Newton's versatility and intelligence, and its insights are still relevant today.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.
Essential Reading Skills + New Myreadinglab With Pearson eText
This comprehensive guide provides students with a practical introduction to laboratory physics, covering key concepts and techniques in detail. With clear explanations and helpful diagrams, the book is an essential resource for anyone studying experimental 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.
Trigonometry
This textbook by an unknown author is a comprehensive guide to the principles and practice of trigonometry. With a focus on both analytical plane and spherical trigonometry, this book provides readers with a strong foundation for advanced mathematical studies. Additionally, logarithmic tables are included for easy reference. Whether used in a classroom or for individual study, this book is an essential resource for anyone seeking to master the complexities of trigonometry.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.
Sweet Revenge
Fink offers a comprehensive and authoritative history of mathematics, tracing its evolution from ancient civilizations to the modern era. With clear explanations and examples, Fink explores the major mathematical concepts and theorems that have shaped our understanding of the world around us. This book is an essential resource for students, teachers, and anyone interested in the history of science and 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.
A Series On Elementary and Higher Geometry, Trigonometry, and Mensuration, Containing Many Valuable Discoveries and Impovements in Mathematical Science ...
This comprehensive textbook is an essential resource for students of mathematics at all levels. With clear explanations and detailed examples, A Series on Elementary and Higher Geometry Trigonometry and Mensuration provides a thorough grounding in key mathematical concepts, making it an invaluable tool for anyone looking to improve their math skills.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 Principal Mathematical Instruments Employed in Surveying, Levelling, and Astronomy
This book is a comprehensive guide to the mathematical instruments used in surveying, levelling, and astronomy, with detailed explanations of their construction, adjustments, and practical applications. It is a valuable resource for professionals and students in these fields.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.
Application of the Adjoint System of Differential Equations in the Solution of the Bang-bang Control Problem.
Invariants With Respect to Special Projective Transformations
This book discusses invariants with respect to special projective transformations and is ideal for those with a background in geometry or algebra. Morelock delves into the mathematical concepts behind projective transformations and provides a comprehensive understanding of the topic.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.
Diversity Amid Globalization World Regions, Environment, Development
These comprehensive logarithmic and trigonometric tables are essential tools for scientists, engineers, and mathematicians alike. Arranged in a clear and user-friendly format, this book provides convenient reference for a wide range of calculations related to logarithmic and trigonometric functions.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 Psychology of Number and Its Applications to Methods of Teaching Arithmetic
Heath's Logarithmic and Trigonometric Tables,
This is a reference book containing mathematical tables for logarithmic and trigonometric functions. It includes detailed instructions for using the tables, as well as examples of their application in real-world problems. This edition contains tables of natural logarithms, anti-logarithms, logarithmic sines and tangents, and other useful functions.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 for Students of Agriculture. [microform]; 2](https://cdn.kingstone.com.tw/english/images/product/9020/9781019359020m.webp?Q=1178a "Mathematics for Students of Agriculture. [microform]; 2")
Mathematics for Students of Agriculture. [microform]; 2
A fundamental text on the application of mathematics to agriculture, covering topics such as plane geometry, algebra, logarithms, trigonometry, and calculus. This book is an essential resource for any student or practitioner in the field of agriculture, providing a thorough grounding in the mathematical concepts and techniques necessary for success.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.
Ramanujan
One of the most famous collaborations in the history of mathematics, this book tells the story of the brilliant Indian mathematician Srinivasa Ramanujan and his collaboration with the eminent British mathematician G.H. Hardy. Exploring Ramanujan's work on complex analysis, number theory, and other fields, this book provides a fascinating glimpse into the mind of one of the greatest mathematical geniuses of all time.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.
Mixtures of Distributions.
This advanced mathematical text provides a rigorous treatment of the theory of mixtures of distributions. Drawing on a variety of mathematical tools and techniques, the authors develop a comprehensive model for understanding the complex interactions between different types of distributions and the properties that emerge when they are combined.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 Brief History of Analysis
This book explores the origins of mathematical analysis in an accessible, clear, and precise manner. Concepts such as function, continuity, and convergence are presented with a unique historical point of view. In part, this is accomplished by investigating the impact of and connections between famous figures, like Newton, Leibniz, Johann Bernoulli, Euler, and more. Of particular note is the treatment of Karl Weierstra?, whose concept of real numbers has been frequently overlooked until now. By providing such a broad yet detailed survey, this book examines how analysis was formed, how it has changed over time, and how it continues to evolve today. A Brief History of Analysis will appeal to a wide audience of students, instructors, and researchers who are interested in discovering new historical perspectives on otherwise familiar mathematical ideas.
Discrete Mathematics With Logic
Discrete Mathematics provides key concepts and a solid, rigorous foundation in mathematical reasoning. Appropriate for undergraduate as well as a starting point for more advanced class, the resource offers a logical progression through key topics without assuming any background in algebra or computational skills and without duplicating what they will learn in higher level courses. The book is designed as an accessible introduction for students in mathematics or computer science as it explores questions that test the understanding of proof strategies, such as mathematical induction. For students interested to dive into this subject, the text offers a rigorous introduction to mathematical thought through useful examples and exercises.
Mathematical Optimization and Evolutionary Algorithms with Applications
Optimization is present almost everywhere in real life, resulting in a wide spectrum of scientific and engineering areas with applications that can be formalized as optimization problems. This feature has fostered the development of research studies aiming to design and implement efficient optimization methods able to address the increasing complexity of applications that are intended to be solved. These studies are typically divided into two areas: one focuses on the theoretical development of advanced solution strategies through the perspective of tackling problems of increasing complexity; another toward developing problem-devoted techniques that aim to efficiently find high-quality solutions to specific applications drawn from a wide spectrum of areas (engineering, social sciences, biotechnologies, finances, etc.). The articles included in this reprint illustrate both types of studies. The reprint is a collection of all the articles accepted and published in the Special Issue titled "Mathematical Optimization and Evolutionary Algorithms with Applications" of the journal Mathematics. We hope that readers will benefit from the insights provided by these papers and contribute to the fast-paced growth of these areas. We also hope that the resulting mixture of methods, algorithms and applications for the treatment of complex optimization problems presented in this Special Issue, either through mathematical tools or metaheuristic algorithms, contributes to the development of research in this area.
Pi and Phi
In this selective conspectus mathematician and essayist James Warren takes an in-depth look at the Ludolphine Constant, p, and its relationships ( if any ) with the Phidian Ratio, F, sometimes called the Golden Section. Simply-defined and deeply-mysterious the two numbers' many go-betweens include algebraic, trigonometric and hyperbolic functions and yet there is no simple finite equation relating them, though many such structures come very close! The quality of estimators is part of the underlying science of this intricate liaison. Both numbers share the protean interpretabilities of great art and literature, and yet also seem to reflect the realities of growth in the physical and biological worlds. If you read this book and then understand the relationship entirely, then I have not done my job. This corrected and extended Second Edition continues the examination of the Pi-Phi relationship until 2023.
Journal of Applied Logics. IfCoLog Journal of Logics and their Applications. Volume 10, number 4, July 2023
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.
