Elements of mathematics : from Euclid to Gödel
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The work Elements of mathematics : from Euclid to Gödel represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Elements of mathematics : from Euclid to Gödel
Resource Information
The work Elements of mathematics : from Euclid to Gödel represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Elements of mathematics : from Euclid to Gödel
 Title remainder
 from Euclid to Gödel
 Statement of responsibility
 John Stillwell
 Language
 eng
 Summary
 "Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematicsbut, 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 twentyfirstcentury 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 wellknown 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"Publisher's description
 Cataloging source
 N$T
 Dewey number
 510.71/1
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA11.2
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
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Context of Elements of mathematics : from Euclid to GödelWork of
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