首頁外文書人文科普 〉Summing It Up: From One Plus One to Modern Number Theory
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Summing It Up: From One Plus One to Modern Number Theory

Summing It Up: From One Plus One to Modern Number Theory


作者  /  Avner Ash/ Robert Gross

出版社 / PRINCETON UNIVERSITY PRESS

出版日期 / 2016/06/01

商品語言 / 英文

裝訂 / 精裝

定價 / NT$980

售價 / 9折, NT$ 882

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Summing It Up: From One Plus One to Modern Number Theory 其它優惠/消息


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內容簡介

We use addition on a daily basis--yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? Summing It Up uses addition as a springboard to present a fascinating and accessible look at numbers and number theory, and how we apply beautiful numerical properties to answer math problems. Mathematicians Avner Ash and Robert Gross explore addition's most basic characteristics as well as the addition of squares and other powers before moving onward to infinite series, modular forms, and issues at the forefront of current mathematical research.

Ash and Gross tailor their succinct and engaging investigations for math enthusiasts of all backgrounds. Employing college algebra, the first part of the book examines such questions as, can all positive numbers be written as a sum of four perfect squares? The second section of the book incorporates calculus and examines infinite series--long sums that can only be defined by the concept of limit, as in the example of 1+1/2+1/4+. . .=? With the help of some group theory and geometry, the third section ties together the first two parts of the book through a discussion of modular forms--the analytic functions on the upper half-plane of the complex numbers that have growth and transformation properties. Ash and Gross show how modular forms are indispensable in modern number theory, for example in the proof of Fermat's Last Theorem.

Appropriate for numbers novices as well as college math majors, Summing It Up delves into mathematics that will enlighten anyone fascinated by numbers.







詳細資料

誠品26碼 /2681341743009
ISBN 13 /9780691170190
ISBN 10 /0691170193
EAN /9780691170190

頁數248
裝訂精裝
級別
語言英文
成份




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