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008 100721s2010 xxu| s |||| 0|eng d
020 _a9781441960535
_9978-1-4419-6053-5
040 _cMX-MeUAM
050 4 _aQA21-27
082 0 4 _a510.9
_223
100 1 _aStillwell, John.
_eauthor.
245 1 0 _aMathematics and Its History
_h[recurso electrónico] /
_cby John Stillwell.
250 _a3.
264 1 _aNew York, NY :
_bSpringer New York,
_c2010.
300 _aXXII, 662 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aUndergraduate Texts in Mathematics,
_x0172-6056
505 0 _aThe Theorem of Pythagoras -- Greek Geometry -- Greek Number Theory -- Infinity in Greek Mathematics -- Number Theory in Asia -- Polynomial Equations -- Analytic Geometry -- Projective Geometry -- Calculus -- Infinite Series -- The Number Theory Revival -- Elliptic Functions -- Mechanics -- Complex Numbers in Algebra -- Complex Numbers and Curves -- Complex Numbers and Functions -- Differential Geometry -- Non-Euclidean Geometry -- Group Theory -- Hypercomplex Numbers -- Algebraic Number Theory -- Topology -- Simple Groups -- Sets, Logic, and Computation -- Combinatorics.
520 _aFrom the reviews of the second edition: "This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations. The fact that the topics are introduced in their historical contexts will enable students to better appreciate and understand the mathematical ideas involved...If one constructs a list of topics central to a history course, then they would closely resemble those chosen here." (David Parrott, Australian Mathematical Society) "The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community." (European Mathematical Society) "Since Stillwell treats many topics, most mathematicians will learn a lot from this book as well as they will find pleasant and rather clear expositions of custom materials. The book is accessible to students that have already experienced calculus, algebra and geometry and will give them a good account of how the different branches of mathematics interact." (Denis Bonheure, Bulletin of the Belgian Society) This third edition includes new chapters on simple groups and combinatorics, and new sections on several topics, including the Poincare conjecture. The book has also been enriched by added exercises.
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 0 _aGeometry.
650 0 _aMathematics_
_xHistory.
650 0 _aNumber theory.
650 1 4 _aMathematics.
650 2 4 _aHistory of Mathematics.
650 2 4 _aGeometry.
650 2 4 _aNumber Theory.
650 2 4 _aAnalysis.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781441960528
830 0 _aUndergraduate Texts in Mathematics,
_x0172-6056
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4419-6053-5
596 _a19
942 _cLIBRO_ELEC
999 _c199449
_d199449