Mathematics And Its History

Author : John Stillwell
Publisher : Springer Nature
Page : 400 pages
File Size : 40,9 Mb
Release : 2020-11-07
Category : Mathematics
ISBN : 9783030551933

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Mathematics and Its History by John Stillwell Pdf

This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history. Readers will discover the rich tapestry of ideas behind familiar topics from the undergraduate curriculum, such as calculus, algebra, topology, and more. Featuring historical episodes ranging from the Ancient Greeks to Fermat and Descartes, this volume offers a glimpse into the broader context in which these ideas developed, revealing unexpected connections that make this ideal for a senior capstone course. The presentation of previous versions has been refined by omitting the less mainstream topics and inserting new connecting material, allowing instructors to cover the book in a one-semester course. This condensed edition prioritizes succinctness and cohesiveness, and there is a greater emphasis on visual clarity, featuring full color images and high quality 3D models. As in previous editions, a wide array of mathematical topics are covered, from geometry to computation; however, biographical sketches have been omitted. Mathematics and Its History: A Concise Edition is an essential resource for courses or reading programs on the history of mathematics. Knowledge of basic calculus, algebra, geometry, topology, and set theory is assumed. From reviews of previous editions: “Mathematics and Its History is a joy to read. The writing is clear, concise and inviting. The style is very different from a traditional text. I found myself picking it up to read at the expense of my usual late evening thriller or detective novel.... The author has done a wonderful job of tying together the dominant themes of undergraduate mathematics.” Richard J. Wilders, MAA, on the Third Edition "The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century.... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community." European Mathematical Society, on the Second Edition

Author : John Stillwell
Publisher : Springer Science & Business Media
Page : 240 pages
File Size : 50,5 Mb
Release : 2005-08-09
Category : Mathematics
ISBN : 9780387255309

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The Four Pillars of Geometry by John Stillwell Pdf

This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises

Author : Carl B. Boyer,Uta C. Merzbach
Publisher : John Wiley & Sons
Page : 695 pages
File Size : 50,7 Mb
Release : 2011-01-11
Category : Mathematics
ISBN : 9780470525487

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A History of Mathematics by Carl B. Boyer,Uta C. Merzbach Pdf

The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.

Author : Jeff Suzuki
Publisher : MAA
Page : 432 pages
File Size : 52,7 Mb
Release : 2009-08-27
Category : Mathematics
ISBN : 0883855704

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Mathematics in Historical Context by Jeff Suzuki Pdf

An exploration of the interaction between mathematics, mathematicians and society. What would Newton see if he looked out his window?

Author : John Stillwell
Publisher : Springer Science & Business Media
Page : 560 pages
File Size : 51,7 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781468492811

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Mathematics and Its History by John Stillwell Pdf

This book offers a collection of historical essays detailing a large variety of mathematical disciplines and issues; it’s accessible to a broad audience. This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added as well as commentary that helps place the exercises in context.

Author : Walter William Rouse Ball
Publisher : Unknown
Page : 576 pages
File Size : 51,8 Mb
Release : 1908
Category : Mathematicians
ISBN : UOM:39015065517024

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A Short Account of the History of Mathematics by Walter William Rouse Ball Pdf

Author : Oystein Ore
Publisher : Courier Corporation
Page : 400 pages
File Size : 50,6 Mb
Release : 2012-07-06
Category : Mathematics
ISBN : 9780486136431

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Number Theory and Its History by Oystein Ore Pdf

Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.

Author : W.S. Anglin
Publisher : Springer Science & Business Media
Page : 253 pages
File Size : 40,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461208754

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Mathematics: A Concise History and Philosophy by W.S. Anglin Pdf

This is a concise introductory textbook for a one-semester (40-class) course in the history and philosophy of mathematics. It is written for mathemat ics majors, philosophy students, history of science students, and (future) secondary school mathematics teachers. The only prerequisite is a solid command of precalculus mathematics. On the one hand, this book is designed to help mathematics majors ac quire a philosophical and cultural understanding of their subject by means of doing actual mathematical problems from different eras. On the other hand, it is designed to help philosophy, history, and education students come to a deeper understanding of the mathematical side of culture by means of writing short essays. The way I myself teach the material, stu dents are given a choice between mathematical assignments, and more his torical or philosophical assignments. (Some sample assignments and tests are found in an appendix to this book. ) This book differs from standard textbooks in several ways. First, it is shorter, and thus more accessible to students who have trouble coping with vast amounts of reading. Second, there are many detailed explanations of the important mathematical procedures actually used by famous mathe maticians, giving more mathematically talented students a greater oppor tunity to learn the history and philosophy by way of problem solving.

Author : Daniel J. Cohen
Publisher : JHU Press
Page : 374 pages
File Size : 55,6 Mb
Release : 2007-04-08
Category : Mathematics
ISBN : 9780801891861

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Equations from God by Daniel J. Cohen Pdf

This illuminating history explores the complex relationship between mathematics, religious belief, and Victorian culture. Throughout history, application rather than abstraction has been the prominent driving force in mathematics. From the compass and sextant to partial differential equations, mathematical advances were spurred by the desire for better navigation tools, weaponry, and construction methods. But the religious upheaval in Victorian England and the fledgling United States opened the way for the rediscovery of pure mathematics, a tradition rooted in Ancient Greece. In Equations from God, Daniel J. Cohen captures the origins of the rebirth of abstract mathematics in the intellectual quest to rise above common existence and touch the mind of the deity. Using an array of published and private sources, Cohen shows how philosophers and mathematicians seized upon the beautiful simplicity inherent in mathematical laws to reconnect with the divine and traces the route by which the divinely inspired mathematics of the Victorian era begot later secular philosophies.

Author : Ernst Hairer,Gerhard Wanner
Publisher : Springer Science & Business Media
Page : 390 pages
File Size : 47,6 Mb
Release : 2008-05-30
Category : Mathematics
ISBN : 9780387770369

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Analysis by Its History by Ernst Hairer,Gerhard Wanner Pdf

This book presents first-year calculus roughly in the order in which it was first discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations. The establishment of mathematical rigour for these subjects in the 19th century for one and several variables is treated in chapters III and IV. Many quotations are included to give the flavor of the history. The text is complemented by a large number of examples, calculations and mathematical pictures and will provide stimulating and enjoyable reading for students, teachers, as well as researchers.

Author : Roger L. Cooke
Publisher : John Wiley & Sons
Page : 630 pages
File Size : 51,5 Mb
Release : 2011-02-14
Category : Mathematics
ISBN : 9781118030240

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The History of Mathematics by Roger L. Cooke Pdf

This new edition brings the fascinating and intriguing history of mathematics to life The Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics. Written by one of the world's leading experts on the history of mathematics, the book details the key historical developments in the field, providing an understanding and appreciation of how mathematics influences today's science, art, music, literature, and society. In the first edition, each chapter was devoted to a single culture. This Second Edition is organized by subject matter: a general survey of mathematics in many cultures, arithmetic, geometry, algebra, analysis, and mathematical inference. This new organization enables students to focus on one complete topic and, at the same time, compare how different cultures approached each topic. Many new photographs and diagrams have been added to this edition to enhance the presentation. The text is divided into seven parts: The World of Mathematics and the Mathematics of the World, including the origin and prehistory of mathematics, cultural surveys, and women mathematicians Numbers, including counting, calculation, ancient number theory, and numbers and number theory in modern mathematics Color Plates, illustrating the impact of mathematics on civilizations from Egypt to Japan to Mexico to modern Europe Space, including measurement, Euclidean geometry, post-Euclidean geometry, and modern geometrics Algebra, including problems leading to algebra, equations and methods, and modern algebra Analysis, including the calculus, real, and complex analysis Mathematical Inference, including probability and statistics, and logic and set theory As readers progress through the text, they learn about the evolution of each topic, how different cultures devised their own solutions, and how these solutions enabled the cultures to develop and progress. In addition, readers will meet some of the greatest mathematicians of the ages, who helped lay the groundwork for today's science and technology. The book's lively approach makes it appropriate for anyone interested in learning how the field of mathematics came to be what it is today. It can also serve as a textbook for undergraduate or graduate-level courses. An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.

Author : David E. Smith,Yoshio Mikami
Publisher : Courier Corporation
Page : 304 pages
File Size : 44,7 Mb
Release : 2013-03-21
Category : Mathematics
ISBN : 9780486154466

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A History of Japanese Mathematics by David E. Smith,Yoshio Mikami Pdf

Classic survey chronicles the development of the Japanese mathematics: use of the abacus; application of counting rods to algebra; Seki Kowa; the circle principle; Ajima Chokuyen; Wada Nei; more. 1914 edition. Includes 74 figures.

Author : Joseph W. Dauben,Christoph J. Scriba
Publisher : Springer Science & Business Media
Page : 776 pages
File Size : 52,6 Mb
Release : 2002-09-23
Category : Mathematics
ISBN : 3764361670

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Writing the History of Mathematics: Its Historical Development by Joseph W. Dauben,Christoph J. Scriba Pdf

As an historiographic monograph, this book offers a detailed survey of the professional evolution and significance of an entire discipline devoted to the history of science. It provides both an intellectual and a social history of the development of the subject from the first such effort written by the ancient Greek author Eudemus in the Fourth Century BC, to the founding of the international journal, Historia Mathematica, by Kenneth O. May in the early 1970s.

Author : Nerida F. Ellerton,M. A. Ken Clements
Publisher : Springer Science & Business Media
Page : 230 pages
File Size : 45,8 Mb
Release : 2012-01-18
Category : Education
ISBN : 9789400726383

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Rewriting the History of School Mathematics in North America 1607-1861 by Nerida F. Ellerton,M. A. Ken Clements Pdf

The focus of this book is the fundamental influence of the cyphering tradition on mathematics education in North American colleges, schools, and apprenticeship training classes between 1607 and 1861. It is the first book on the history of North American mathematics education to be written from that perspective. The principal data source is a set of 207 handwritten cyphering books that have never previously been subjected to careful historical analysis.

Author : William P. Berlinghoff,Fernando Q. Gouvêa
Publisher : American Mathematical Soc.
Page : 331 pages
File Size : 45,8 Mb
Release : 2021-04-29
Category : Education
ISBN : 9781470464561

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Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition by William P. Berlinghoff,Fernando Q. Gouvêa Pdf

Where did math come from? Who thought up all those algebra symbols, and why? What is the story behind π π? … negative numbers? … the metric system? … quadratic equations? … sine and cosine? … logs? The 30 independent historical sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that is accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch includes Questions and Projects to help you learn more about its topic and to see how the main ideas fit into the bigger picture of history. The 30 short stories are preceded by a 58-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. “What to Read Next” and reading suggestions after each sketch provide starting points for readers who want to learn more. This book is ideal for a broad spectrum of audiences, including students in history of mathematics courses at the late high school or early college level, pre-service and in-service teachers, and anyone who just wants to know a little more about the origins of mathematics.