The History of Mathematics

Beschreibung

This new edition brings the fascinating and intriguing historyof mathematics to life The Second Edition of this internationally acclaimed text hasbeen thoroughly revised, updated, and reorganized to give readers afresh perspective on the evolution of mathematics. Written by oneof the world's leading experts on the history of mathematics, thebook details the key historical developments in the field,providing an understanding and appreciation of how mathematicsinfluences today's science, art, music, literature, andsociety. In the first edition, each chapter was devoted to a singleculture. This Second Edition is organized by subject matter: ageneral survey of mathematics in many cultures, arithmetic,geometry, algebra, analysis, and mathematical inference. This neworganization enables students to focus on one complete topic and,at the same time, compare how different cultures approached eachtopic. Many new photographs and diagrams have been added to thisedition 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, culturalsurveys, and women mathematicians * Numbers, including counting, calculation, ancient numbertheory, and numbers and number theory in modern mathematics * Color Plates, illustrating the impact of mathematics oncivilizations 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 andmethods, and modern algebra * Analysis, including the calculus, real, and complexanalysis * Mathematical Inference, including probability and statistics,and logic and set theory As readers progress through the text, they learn about theevolution of each topic, how different cultures devised their ownsolutions, and how these solutions enabled the cultures to developand progress. In addition, readers will meet some of the greatestmathematicians of the ages, who helped lay the groundwork fortoday's science and technology. The book's lively approach makes it appropriate for anyoneinterested in learning how the field of mathematics came to be whatit is today. It can also serve as a textbook for undergraduate orgraduate-level courses. An Instructor's Manual presenting detailedsolutions to all the problems in the book is available upon requestfrom the Wiley editorial department.

Autor*in

Roger L. Cooke

Themen in »The History of Mathematics«

Geschichte Geschichte der Mathematik History History of Mathematics History Special Topics Mathematics Mathematik Popular Interest Mathematics Populärwissenschaftliche Mathematik Spezialthemen Geschichte

Stimmen zu »The History of Mathematics«

"This book should engage students, and Chapters 1-4contain a great deal of material that students usually have to findoutside their textbook: background history, relationship ofmathematics to the broader culture, and a great deal of informationon women in mathematics. Once the students are taken in bythe story, it will be the instructor's job to elaborate onthe historical calculations and proofs. For an experiencedinstructor in a history of mathematics class, this is an idealsituation; both the instructor and the text get to do theirjobs." (Mathematical Association of America,16 July 2013) "The second edition...is a jewel. It is notable for what itincludes as well as what it does not. But most importantly, it is ajewel for its presentation." (MAA Reviews, January 15,2007) "...a remarkably well-compiled format...recommended as atextbook for an undergraduate course; in addition...can appeal toreaders interested in the history of science and to a generalaudience." (E-STREAMS, November 2006) "An amazing assemblage of worldwide contributions in mathematicsand, in addition to use as a course book, a valuableresource...essential." (CHOICE, November 2005)
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