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008			110728s2011 xxu| s |||| 0|eng d
020			_a9780387921549 _9978-0-387-92154-9
040			_cMX-MeUAM
050		4	_aQA21-27
082	0	4	_a510.9 _223
100	1		_aGonzález-Velasco, Enrique A. _eauthor.
245	1	0	_aJourney through Mathematics _h[recurso electrónico] : _bCreative Episodes in Its History / _cby Enrique A. González-Velasco.
264		1	_aNew York, NY : _bSpringer New York, _c2011.
300			_aXI, 466 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aPreface -- 1 Trigonometry -- 2 Logarithms -- 3 Complex Numbers -- 4 Infinite Series -- 5 The Calculus -- 6 Convergence -- Bibliography -- Index.
520			_aThis book offers an accessible and in-depth look at some of the most  important episodes of two thousand years of mathematical history. Beginning with trigonometry and moving on through logarithms, complex numbers, infinite series, and calculus, this book profiles some of the lesser known but crucial contributors to modern day mathematics. It is unique in its use of primary sources as well as its accessibility; a knowledge of first-year calculus is the only prerequisite. But undergraduate and graduate students alike will appreciate this glimpse into the fascinating process of mathematical creation. The history of math is an intercontinental journey, and this book showcases brilliant mathematicians from Greece, Egypt, and India, as well as Europe and the Islamic world. Several of the primary sources have never before been translated into English. Their interpretation is thorough and readable, and offers an excellent background for teachers of high school mathematics as well as anyone interested in the history of math. Features of this book include: -Dozens of diagrams and photographs of original sources -Original translation of Rafael Bombelli's contribution to the study of complex numbers -A detailed history of the calculus as it was being written, and a new analysis of Leibniz's writings on the subject -The first English translation of the first published proof of the fundamental theorem of Calculus, given by James Gregory in 1668 -An accessible discussion of James Gregory's work, including his invention of Taylor series forty years before Taylor -An original English translation of extended portions of works by José Anastácio da Cunha, a little known but important contributor to the convergence of series and the differential calculus, some of whose ideas were later attributed to Cauchy
650		0	_aMathematics.
650	1	4	_aMathematics.
650	2	4	_aHistory of Mathematical Sciences.
650	2	4	_aMathematics, general.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387921532
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-387-92154-9
596			_a19
942			_cLIBRO_ELEC
999			_c198223 _d198223