Elements of Mathematics PDF
By:John Stillwell
Published on 2016-05-31 by Princeton University Press
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 today's 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.
This Book was ranked at 27 by Google Books for keyword Science Math Mathematics novel.
Book ID of Elements of Mathematics's Books is Y-7pCwAAQBAJ, Book which was written byJohn Stillwellhave ETAG "YDs5hsxOeZM"
Book which was published by Princeton University Press since 2016-05-31 have ISBNs, ISBN 13 Code is 9781400880560 and ISBN 10 Code is 1400880564
Reading Mode in Text Status is false and Reading Mode in Image Status is true
Book which have "440 Pages" is Printed at BOOK under CategoryMathematics
Book was written in en
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