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Elements of mathematics : from Euclid to Go?del /

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자료유형E-Book
개인저자Stillwell, John, author.
서명/저자사항Elements of mathematics :from Euclid to Go?del /John Stillwell.
발행사항Princeton : Princeton University Press, [2016]
형태사항1 online resource (xiv, 422 pages) : illustrations
소장본 주기Master record variable field(s) change: 050
ISBN9781400880560
1400880564




기타표준부호10.1515/9781400880560doi
서지주기Includes bibliographical references and index.
내용주기Elementary topics -- Arithmetic -- Computation -- Algebra -- Geometry -- Calculus -- Combinatorics -- Probability -- Logic -- Some advanced mathematics.
요약"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"--Publisher's description.
일반주제명Mathematics -- Study and teaching (Higher)
Mathematics -- Study and teaching (Higher)
MATHEMATICS / Essays
MATHEMATICS / Pre-Calculus
MATHEMATICS / Reference
언어영어
기타형태 저록Erscheint auch als:Druck-AusgabeStillwell, John. Elements of Mathematics .From Euclid to Godel
Print version:Stillwell, John.Elements of mathematics.Princeton : Princeton University Press, [2016]9780691171685
대출바로가기http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1107942

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