Mathematics and Its History

by John Stillwell

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Description

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 show more 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. show less

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Author Information

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19 Works 1,073 Members
John Stillwell is Professor of mathematics at the University of San Francisco. He is the author of Reverse Mathematics (Princeton)

Series

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Common Knowledge

Canonical title
Mathematics and Its History
Original title
Mathematics and Its History
Original publication date
1989
Dedication
To Elaine, Michael, and Robert [from third edition, 2010]
First words
The Pythagorean theorem is the most appropriate starting point for a book on mathematics and its history. [from third edition, 2010]
Last words
(Click to show. Warning: May contain spoilers.)He is as old, and young, as mathematics. [from third edition, 2010]
Original language
English

Classifications

Genres
Nonfiction, History, Science & Nature, General Nonfiction
DDC/MDS
510.9Natural sciences & mathematicsMathematicsMathematics / GraphsBiography And History
LCC
QA21 .S84ScienceMathematicsMathematicsGeneral
BISAC

Statistics

Members
235
Popularity
134,957
Rating
½ (4.27)
Languages
English, German, Portuguese
Media
Paper, Ebook
ISBNs
13
ASINs
4