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000470168 010__ $$z  2010921168
000470168 020__ $$z0883857669
000470168 020__ $$z9780883857663
000470168 020__ $$a9781614446057 (electronic bk.)
000470168 035__ $$a(CaPaEBR)ebr10733080
000470168 035__ $$a(OCoLC)811562988
000470168 040__ $$aCaPaEBR$$cCaPaEBR
000470168 05014 $$aQA21$$b.K72 2010eb
000470168 08204 $$a510.9$$222
000470168 1001_ $$aKrantz, Steven G.$$q(Steven George),$$d1951-
000470168 24513 $$aAn episodic history of mathematics$$h[electronic resource] :$$bmathematical culture through problem solving /$$cSteven G. Krantz.
000470168 260__ $$a[Washington, D.C.] :$$bMathematical Association of America,$$cc2010.
000470168 300__ $$axiii, 381 p. :$$bill.
000470168 440_0 $$aMAA textbooks
000470168 504__ $$aIncludes bibliographical references (p. 365-369) and index.
000470168 5050_ $$aThe ancient Greeks and the foundations of mathematics -- Zeno's paradox and the concept of limit -- The mystical mathematics of Hypatia -- The Islamic world and the development of algebra -- Cardano, Abel, Galois, and the solving of equations -- René Descartes and the idea of coordinates -- Pierre de Fermat and the invention of differential calculus -- The great Isaac Newton -- The complex numbers and the fundamental theorem of algebra -- Carl Friedrich Gauss: the prince of mathematics -- Sophie Germain and the attack on Fermat's last problem -- Cauchy and the foundations of analysis -- The prime numbers -- Dirichlet and how to count -- Bernhard Riemann and the geometry of surfaces -- Georg Cantor and the orders of infinity -- The number systems -- Henri Poincaré, child phenomenon -- Sonya Kovalevskaya and the mathematics of mechanics -- Emmy Noether and algebra -- Methods of proof -- Alan Turing and cryptography.
000470168 506__ $$aAccess limited to authorized users.
000470168 520__ $$a"An Episodic History of Mathematics delivers a series of snapshots of mathematics and mathematicians from ancient times to the twentieth century. Giving readers a sense of mathematical culture and history, the book also acquaints readers with the nature and techniques of mathematics via exercises. It introduces the genesis of key mathematical concepts. For example, while Krantz does not get into the intricate mathematical details of Andrew Wiles's proof of Fermat's Last Theorem, he does describe some of the streams of thought that posed the problem and led to its solution. The focus in this text, moreover, is on doing - getting involved with the mathematics and solving problems. Every chapter ends with a detailed problem set that will provide students with avenues for exploration and entry into the subject. It recounts the history of mathematics; offers broad coverage of the various schools of mathematical thought to give readers a wider understanding of mathematics; and includes exercises to help readers engage with the text and gain a deeper understanding of the material."--Publisher's description.
000470168 650_0 $$aMathematics$$xHistory$$xStudy and teaching (Higher)
000470168 650_0 $$aMathematics$$vProblems, exercises, etc.
000470168 650_0 $$aMathematics$$xStudy and teaching (Higher)
000470168 650_0 $$aMathematicians.
000470168 655_7 $$aElectronic books.$$2lcsh
000470168 7102_ $$aMathematical Association of America.
000470168 852__ $$bebk
000470168 85640 $$3ProQuest Ebook Central Academic Complete$$uhttps://univsouthin.idm.oclc.org/login?url=http://site.ebrary.com/lib/usiricelib/Doc?id=10733080$$zOnline Access
000470168 909CO $$ooai:library.usi.edu:470168$$pGLOBAL_SET
000470168 980__ $$aEBOOK
000470168 980__ $$aBIB
000470168 982__ $$aEbook
000470168 983__ $$aOnline