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Elements of Mathematics: From Euclid to G?del PDF

BY ~ John Stillwell

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Title: Elements of Mathematics: From Euclid to G?del

Author : John Stillwell

Pages : 422 pages

Publisher : Princeton University Press

Language : eng

ISBN-10 : 0691178542

ISBN-13 : 9780691178547

Elements of Mathematics: From Euclid to G?del BY John Stillwell

Read Online and Download Elements of Mathematics: From Euclid to G?del. 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 .

Elements of Mathematics: From Euclid to G?del by John Stillwell

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