000			04043cam a22004697a 4500
001			16063923
003			OSt
005			20190522141829.0
008			100121s2010 dcua b 001 0deng d
010			_a 2010921168
020			_a0883857669
020			_a9780883857663
035			_a(OCoLC)ocn501976977
040			_aYDXCP _cYDXCP _dELW _dNLGGC _dLMR _dCDX _dUBY _dTXA _dMT4IT _dDLC
042			_alccopycat
050	0	0	_aQA21 _b.K72 2010
084			_aQA 21 .K72 2010
100	1		_aKrantz, Steven G. _q(Steven George), _d1951-
245	1	3	_aAn episodic history of mathematics : _bmathematical culture through problem solving / _cSteven G. Krantz.
260			_a[Washington, DC] : _bMathematical Association of America, _cc2010.
300			_axiii, 381 p. : _bill. ; _c27 cm.
490	1		_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 -- 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.
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.
650		0	_aMathematics _xHistory _xStudy and teaching (Higher)
650		0	_aMathematics _vProblems, exercises, etc.
650		0	_aMathematics _xStudy and teaching (Higher)
650		0	_aMathematicians.
650	1	7	_aWiskunde. _2gtt
650	1	7	_aWiskundigen. _2gtt
710	2		_aMathematical Association of America.
776	0	8	_iOnline version: _aKrantz, Steven G. (Steven George), 1951- _tEpisodic history of mathematics. _d[Washington, DC] : Mathematical Association of America, c2010 _w(OCoLC)777921241
830		0	_aMAA textbooks.
856	4	2	_3Contributor biographical information _uhttp://www.loc.gov/catdir/enhancements/fy1209/2010921168-b.html
856	4	2	_3Publisher description _uhttp://www.loc.gov/catdir/enhancements/fy1209/2010921168-d.html
856	4	1	_3Table of contents only _uhttp://www.loc.gov/catdir/enhancements/fy1209/2010921168-t.html
906			_a7 _bcbc _ccopycat _d2 _encip _f20 _gy-gencatlg
942			_2ddc _cBK
955			_bxh14 2012-04-12 z-processor _ixh14 2012-04-13 2 copies to BCCD
955			_apc25 2010-01-21 _axh00 2010-08-11 to USPL/STM
999			_c8955 _d8955