Journey into Mathematics: An Introduction to Proofs

Joseph J Rotman

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Language: English

Published by Dover Publications Inc., 2007

0486453065 / 9780486453064

Series: Book 169 of 303 - Dover Books on Mathematics

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Students learn how to read and write proofs by actually reading and writing them, asserts author Joseph J. Rotman, adding that merely reading about mathematics is no substitute for doing mathematics. In addition to teaching how to interpret and construct proofs, Professor Rotman's introductory text imparts other valuable mathematical tools and illustrates the intrinsic beauty and interest of mathematics. Journey into Mathematics offers a coherent story, with intriguing historical and etymological asides. The three-part treatment begins with the mechanics of writing proofs, including some very elementary mathematics--induction, binomial coefficients, and polygonal areas--that allow students to focus on the proofs without the distraction of absorbing unfamiliar ideas at the same time. Once they have acquired some geometric experience with the simpler classical notion of limit, they proceed to considerations of the area and circumference of circles. The text concludes with examinations of complex numbers and their application, via De Moivre's theorem, to real numbers.

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Title
Journey into Mathematics: An Introduction to Proofs
Author
Joseph J Rotman
Publisher
Dover Publications Inc.
Publication year
2007
Condition
Good
Binding
Paperback
Language
English
ISBN 10
0486453065
ISBN 13
9780486453064
Series
Book 169 of 303: Dover Books on Mathematics

World of Books Inc

Montgomery, IL, U.S.A.

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AbeBooks seller since March 23, 2026

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