03608nam a2200397 a 4500001001200000003000800012006001900020007001500039008004100054010001700095020001500112020001800127020002700145040002100172035002100193050002200214082001400236100004700250245013100297260007100428300002500499440001800524504006400542505093800606520112201544533015202666650005402818650004302872650004502915650002002960655002902980710004103009710001703050856012603067999001703193ebr10733080CaPaEBRm     o  u        cr cn|||||||||100121s2010    dcua    sb    001 0deng d  z  2010921168  z0883857669  z9780883857663  z9781614446057 (e-book)  aCaPaEBRcCaPaEBR  a(OCoLC)81156298814aQA21b.K72 2010eb04a510.92221 aKrantz, Steven G.q(Steven George),d1951-13aAn episodic history of mathematicsh[electronic resource] :bmathematical culture through problem solving /cSteven G. Krantz.  a[Washington, D.C.] :bMathematical Association of America,cc2010.  axiii, 381 p. :bill. 0aMAA textbooks  aIncludes bibliographical references (p. 365-369) and index.0 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 -- Ren�e 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 Poincar�e, child phenomenon -- Sonya Kovalevskaya and the mathematics of mechanics -- Emmy Noether and algebra -- Methods of proof -- Alan Turing and cryptography.  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.  aElectronic reproduction.bPalo Alto, Calif. :cebrary,d2013.nAvailable via World Wide Web.nAccess may be limited to ebrary affiliated libraries. 0aMathematicsxHistoryxStudy and teaching (Higher) 0aMathematicsvProblems, exercises, etc. 0aMathematicsxStudy and teaching (Higher) 0aMathematicians. 7aElectronic books.2local2 aMathematical Association of America.2 aebrary, Inc.40uhttp://site.ebrary.com/lib/rucke/Doc?id=10733080zAn electronic book accessible through the World Wide Web; click to view  c36728d36728