Mathematics and Its History

Mathematics and Its History

Author: John Stillwell

Publisher: Springer Nature

Published: 2020-11-07

Total Pages: 400

ISBN-13: 3030551938

DOWNLOAD EBOOK

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


The Rainbow of Mathematics

The Rainbow of Mathematics

Author: Ivor Grattan-Guinness

Publisher: W. W. Norton & Company

Published: 2000

Total Pages: 836

ISBN-13: 9780393320305

DOWNLOAD EBOOK

"For Ivor Grattan-Guinness . . . the story of how numbers were invented and harnessed is a passionate, physical saga."--"The New Yorker." The author charts the growth of mathematics through the centuries and describes the evolution of arithmetic and geometry, trigonometry, and other disciplines.


A History of Mathematical Notations

A History of Mathematical Notations

Author: Florian Cajori

Publisher: Courier Corporation

Published: 2013-09-26

Total Pages: 865

ISBN-13: 0486161161

DOWNLOAD EBOOK

This classic study notes the origin of a mathematical symbol, the competition it encountered, its spread among writers in different countries, its rise to popularity, and its eventual decline or ultimate survival. 1929 edition.


A History of the Circle

A History of the Circle

Author: Ernest Zebrowski

Publisher: Rutgers University Press

Published: 1999

Total Pages: 232

ISBN-13: 9780813528984

DOWNLOAD EBOOK

Ranging from ancient times to twentieth-century theories of time and space, looks at how exploring the circle has lead to increased knowledge about the physical universe.


A History of Algebraic and Differential Topology, 1900 - 1960

A History of Algebraic and Differential Topology, 1900 - 1960

Author: Jean Dieudonné

Publisher: Springer Science & Business Media

Published: 2009-09-01

Total Pages: 666

ISBN-13: 0817649077

DOWNLOAD EBOOK

This book is a well-informed and detailed analysis of the problems and development of algebraic topology, from Poincaré and Brouwer to Serre, Adams, and Thom. The author has examined each significant paper along this route and describes the steps and strategy of its proofs and its relation to other work. Previously, the history of the many technical developments of 20th-century mathematics had seemed to present insuperable obstacles to scholarship. This book demonstrates in the case of topology how these obstacles can be overcome, with enlightening results.... Within its chosen boundaries the coverage of this book is superb. Read it! —MathSciNet


Using History to Teach Mathematics

Using History to Teach Mathematics

Author: Victor J. Katz

Publisher: Cambridge University Press

Published: 2000-09-21

Total Pages: 284

ISBN-13: 9780883851630

DOWNLOAD EBOOK

This volume examines how the history of mathematics can find application in the teaching of mathematics itself.


An Invitation to Mathematical Physics and Its History

An Invitation to Mathematical Physics and Its History

Author: Jont Allen

Publisher: Springer Nature

Published: 2020-09-22

Total Pages: 394

ISBN-13: 3030537595

DOWNLOAD EBOOK

This state of the art book takes an applications based approach to teaching mathematics to engineering and applied sciences students. The book lays emphasis on associating mathematical concepts with their physical counterparts, training students of engineering in mathematics to help them learn how things work. The book covers the concepts of number systems, algebra equations and calculus through discussions on mathematics and physics, discussing their intertwined history in a chronological order. The book includes examples, homework problems, and exercises. This book can be used to teach a first course in engineering mathematics or as a refresher on basic mathematical physics. Besides serving as core textbook, this book will also appeal to undergraduate students with cross-disciplinary interests as a supplementary text or reader.


Number Theory and Its History

Number Theory and Its History

Author: Oystein Ore

Publisher: Courier Corporation

Published: 2012-07-06

Total Pages: 404

ISBN-13: 0486136434

DOWNLOAD EBOOK

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