A Guide To Cauchy S Calculus
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The Origins Of Cauchy S Rigorous Calculus
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Author : Judith V. Grabiner
language : en
Publisher: Courier Corporation
Release Date : 2012-05-11
The Origins Of Cauchy S Rigorous Calculus written by Judith V. Grabiner and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-11 with Mathematics categories.
This text examines the reinterpretation of calculus by Augustin-Louis Cauchy and his peers in the 19th century. These intellectuals created a collection of well-defined theorems about limits, continuity, series, derivatives, and integrals. 1981 edition.
Cauchy S Calcul Infinit Simal
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Author : Dennis M. Cates
language : en
Publisher: Springer
Release Date : 2019-04-03
Cauchy S Calcul Infinit Simal written by Dennis M. Cates and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-03 with Mathematics categories.
This book is a complete English translation of Augustin-Louis Cauchy's historic 1823 text (his first devoted to calculus), Résumé des leçons sur le calcul infinitésimal, "Summary of Lectures on the Infinitesimal Calculus," originally written to benefit his École Polytechnique students in Paris. Within this single text, Cauchy succinctly lays out and rigorously develops all of the topics one encounters in an introductory study of the calculus, from his classic definition of the limit to his detailed analysis of the convergence properties of infinite series. In between, the reader will find a full treatment of differential and integral calculus, including the main theorems of calculus and detailed methods of differentiating and integrating a wide variety of functions. Real, single variable calculus is the main focus of the text, but Cauchy spends ample time exploring the extension of his rigorous development to include functions of multiple variables as well as complex functions. This translation maintains the same notation and terminology of Cauchy's original work in the hope of delivering as honest and true a Cauchy experience as possible so that the modern reader can experience his work as it may have been like 200 years ago. This book can be used with advantage today by anyone interested in the history of the calculus and analysis. In addition, it will serve as a particularly valuable supplement to a traditional calculus text for those readers who desire a way to create more texture in a conventional calculus class through the introduction of original historical sources.
The Mathematics Compendium A Comprehensive Guide To Mathematical Minds
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-07
The Mathematics Compendium A Comprehensive Guide To Mathematical Minds written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-07 with Mathematics categories.
**The Mathematics Compendium: A Comprehensive Guide to Mathematical Minds** is the definitive reference guide to the world of mathematics. This book covers a wide range of topics, from the history of mathematics to the latest developments in the field. Whether you are a student, a teacher, or simply someone who is interested in learning more about mathematics, this book has something to offer you. In this book, you will find: * An overview of the history of mathematics, from the ancient Greeks to the present day * A discussion of the different branches of mathematics, including algebra, geometry, calculus, and statistics * Biographical sketches of some of the most famous mathematicians, including Euclid, Archimedes, Newton, and Einstein * A glossary of mathematical terms * A bibliography of mathematical resources This book is designed to be a valuable resource for anyone who wants to learn more about mathematics. Whether you are a student looking for a textbook, a teacher looking for a reference guide, or simply someone who is interested in learning more about the world of mathematics, this book has something to offer you. Mathematics is the study of patterns and relationships. It is a way of thinking that can help us to understand the world around us. Mathematics is used in every field of human endeavor, from science and engineering to business and finance. It is a powerful tool that can be used to solve problems and make predictions. The history of mathematics is long and fascinating. The ancient Greeks made significant contributions to the field, developing geometry and algebra. The Arabs and Indians also made important contributions, and in the Renaissance, mathematics began to flourish in Europe. The 19th and 20th centuries saw the development of calculus and other new branches of mathematics. Today, mathematics continues to be a vibrant and growing field. New discoveries are being made all the time, and mathematics is being used to solve some of the most challenging problems facing humanity. This book is just a small introduction to the vast world of mathematics. We hope that it will inspire you to learn more about this fascinating subject. If you like this book, write a review on google books!
Advanced Calculus Revised Edition
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Author : Lynn Harold Loomis
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-02-26
Advanced Calculus Revised Edition written by Lynn Harold Loomis and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-26 with Mathematics categories.
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
The Cauchy Schwarz Master Class
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Author : J. Michael Steele
language : en
Publisher: Cambridge University Press
Release Date : 2004-04-26
The Cauchy Schwarz Master Class written by J. Michael Steele and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-26 with Mathematics categories.
This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics.
A Guide To Cauchy S Calculus
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Author : Dennis M. Cates
language : en
Publisher:
Release Date : 2011-11-22
A Guide To Cauchy S Calculus written by Dennis M. Cates and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-22 with Calculus categories.
This book is the first to describe in detail a community of potters working for the Jagannatha Temple in Puri, and to explore how the role of temple servant affects the potters' understanding of their work and of themselves. As a pilgrimage centre of national importance, supported by the patronage of successive regional dynasties and by fervent popular belief, the Jagannatha Temple requires earthenware in great quantities for the creation and distribution of the sacred food that is an integral feature of daily ritual and pilgrimage. Three hundred potters participate as temple servants in maintaining the temple's ritual cycle by performing their divinely assigned task. This study, conducted in 1979-1981, observes the potters' technical prowess, sustained by devotion, but also examines the tensions within their relationships to more powerful temple servants and authorities. The role of the potter as temple servant is at once glorious, as demonstrated by texts and personal interpretations of the potters' divinely-appointed service, and pathetic, as shown in the brutality of caste-based hierarchy and cash-based exchange penetrating the modern temple's daily operations.
Complex Integration And Cauchy S Theorem
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Author : G. N. Watson
language : en
Publisher:
Release Date : 1914
Complex Integration And Cauchy S Theorem written by G. N. Watson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1914 with Mathematics categories.
Originally published in 1914, this book provides a concise proof of Cauchy's Theorem, with applications of the theorem to the evaluation of definite integrals.
A Guide To Complex Variables
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Author : Steven G. Krantz
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-07-31
A Guide To Complex Variables written by Steven G. Krantz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-31 with Education categories.
This is a book about complex variables that gives the reader a quick and accessible introduction to the key topics. While the coverage is not comprehensive, it certainly gives the reader a solid grounding in this fundamental area. There are many figures and examples to illustrate the principal ideas, and the exposition is lively and inviting. An undergraduate wanting to have a first look at this subject or a graduate student preparing for the qualifying exams, will find this book to be a useful resource.
The Britannica Guide To The History Of Mathematics
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Author : Britannica Educational Publishing
language : en
Publisher: Britannica Educational Publishing
Release Date : 2010-04-01
The Britannica Guide To The History Of Mathematics written by Britannica Educational Publishing and has been published by Britannica Educational Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-01 with Juvenile Nonfiction categories.
The field of mathematics today represents an ongoing global effort, spanning both countries and centuries. Through this in-depth narrative, students will learn how major mathematical concepts were first derived, as well as how they evolved with the advent of later thinkers shedding new light on various applications. Everything from Euclidean geometry to the philosophy of mathematics is illuminated as readers are transported to the ancient civilizations of Mesopotamia, Egypt, and beyond to discover the history of mathematical thought
Lacroix And The Calculus
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Author : João Caramalho Domingues
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-06-17
Lacroix And The Calculus written by João Caramalho Domingues and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-17 with Mathematics categories.
Silvestre François Lacroix was not a prominent mathematical researcher, but he was certainly a most influential mathematical book author. His most famous work is the three-volume Traité du calcul différentiel et du calcul intégral, which is an encyclopedic appraisal of 18th-century calculus that remained the standard reference on the subject through much of the 19th century. This book provides the first global and detailed study of Lacroix's Traité Traité du calcul.