000			03608nam a2200397 a 4500
001			ebr10733080
003			CaPaEBR
006			m o u
007			cr cn|||||||||
008			100121s2010 dcua sb 001 0deng d
010			_z 2010921168
020			_z0883857669
020			_z9780883857663
020			_z9781614446057 (e-book)
040			_aCaPaEBR _cCaPaEBR
035			_a(OCoLC)811562988
050	1	4	_aQA21 _b.K72 2010eb
082	0	4	_a510.9 _222
100	1		_aKrantz, Steven G. _q(Steven George), _d1951-
245	1	3	_aAn episodic history of mathematics _h[electronic resource] : _bmathematical culture through problem solving / _cSteven G. Krantz.
260			_a[Washington, D.C.] : _bMathematical Association of America, _cc2010.
300			_axiii, 381 p. : _bill.
440		0	_aMAA textbooks
504			_aIncludes bibliographical references (p. 365-369) and index.
505	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.
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.
533			_aElectronic reproduction. _bPalo Alto, Calif. : _cebrary, _d2013. _nAvailable via World Wide Web. _nAccess may be limited to ebrary affiliated libraries.
650		0	_aMathematics _xHistory _xStudy and teaching (Higher)
650		0	_aMathematics _vProblems, exercises, etc.
650		0	_aMathematics _xStudy and teaching (Higher)
650		0	_aMathematicians.
655		7	_aElectronic books. _2local
710	2		_aMathematical Association of America.
710	2		_aebrary, Inc.
856	4	0	_uhttp://site.ebrary.com/lib/rucke/Doc?id=10733080 _zAn electronic book accessible through the World Wide Web; click to view
999			_c36728 _d36728