Description: Elements of Mathematics : From Euclid to Gödel, Paperback by Stillwell, John, ISBN 0691178542, ISBN-13 9780691178547, Brand New, Free shipping in the US
An exciting look at the world of elementary mathematics
Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics—but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of todays elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits.
From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics.
Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.
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Book Title: Elements of Mathematics : From Euclid to Gödel
Number of Pages: 440 Pages
Language: English
Publication Name: Elements of Mathematics : from Euclid to Gödel
Publisher: Princeton University Press
Subject: History & Philosophy, Study & Teaching, General, History
Item Height: 1 in
Publication Year: 2017
Item Weight: 25 Oz
Type: Textbook
Subject Area: Mathematics, Science
Author: John Stillwell
Item Length: 9.4 in
Item Width: 7.6 in
Format: Trade Paperback
