000			03353nam a22004335i 4500
001			u371880
003			SIRSI
005			20160812080153.0
007			cr nn 008mamaa
008			100803s2010 xxu| s |||| 0|eng d
020			_a9781441972880 _9978-1-4419-7288-0
040			_cMX-MeUAM
050		4	_aQA299.6-433
082	0	4	_a515 _223
100	1		_aBak, Joseph. _eauthor.
245	1	0	_aComplex Analysis _h[recurso electrónico] / _cby Joseph Bak, Donald J. Newman.
264		1	_aNew York, NY : _bSpringer New York, _c2010.
300			_aXII, 328 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 ; _v0
505	0		_aThe Complex Numbers -- Functions of the Complex Variable z -- Analytic Functions -- Line Integrals and Entire Functions -- Properties of Entire Functions -- Properties of Analytic Functions -- Further Properties of Analytic Functions -- Simply Connected Domains -- Isolated Singularities of an Analytic Function -- The Residue Theorem -- Applications of the Residue Theorem to the Evaluation of Integrals and Sums -- Further Contour Integral Techniques -- to Conformal Mapping -- The Riemann Mapping Theorem -- Maximum-Modulus Theorems for Unbounded Domains -- Harmonic Functions -- Different Forms of Analytic Functions -- Analytic Continuation; The Gamma and Zeta Functions -- Applications to Other Areas of Mathematics.
520			_aThis unusual and lively textbook offers a clear and intuitive approach to the classical and beautiful theory of complex variables. With very little dependence on advanced concepts from several-variable calculus and topology, the text focuses on the authentic complex-variable ideas and techniques. Notable additions to "Complex Analysis, Third Edition," include: • The solution of the cubic equation and Newton’s method for approximating the zeroes of any polynomial; • Expanded treatments of the Schwarz reflection principle and of the mapping properties of analytic functions on closed domains; • An introduction to Schwarz-Christoffel transformations and to Dirichlet series; • A streamlined proof of the prime number theorem, and more. Accessible to students at their early stages of mathematical study, this full first year course in complex analysis offers new and interesting motivations for classical results and introduces related topics stressing motivation and technique. Numerous illustrations, examples, and now 300 exercises, enrich the text. Students who master this textbook will emerge with an excellent grounding in complex analysis, and a solid understanding of its wide applicability.
650		0	_aMathematics.
650		0	_aGlobal analysis (Mathematics).
650	1	4	_aMathematics.
650	2	4	_aAnalysis.
700	1		_aNewman, Donald J. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781441972873
830		0	_aUndergraduate Texts in Mathematics, _x0172-6056 ; _v0
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4419-7288-0
596			_a19
942			_cLIBRO_ELEC
999			_c199760 _d199760