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- Journey into Mathematics (An Introduction to Proofs)
Journey into Mathematics (An Introduction to Proofs)
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Product Details
Author:
Joseph J. Rotman
Format:
Paperback
Pages:
256
Publisher:
Dover Publications (December 27, 2006)
Language:
English
ISBN-13:
9780486453064
ISBN-10:
0486453065
Weight:
10.8oz
Dimensions:
5.5" x 8.5"
Case Pack:
32
Series:
Dover Books on Mathematics
File:
Dover-Dover_05022026_P10034514_onix30_Complete-20260501.xml
As low as:
$19.00
List Price:
$20.00
Publisher Identifier:
P-DOVER
Discount Code:
D
Audience:
College/higher education
Pub Discount:
65
Imprint:
Dover Publications
Folder:
Dover
Overview
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.
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.
