000 03153nam a22005415i 4500
001 978-1-4471-4008-5
003 DE-He213
005 20140220083237.0
007 cr nn 008mamaa
008 120419s2012 xxk| s |||| 0|eng d
020 _a9781447140085
_9978-1-4471-4008-5
024 7 _a10.1007/978-1-4471-4008-5
_2doi
050 4 _aQA403.5-404.5
072 7 _aPBKF
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515.2433
_223
100 1 _aBarreira, Luis.
_eauthor.
245 1 0 _aComplex Analysis and Differential Equations
_h[electronic resource] /
_cby Luis Barreira, Claudia Valls.
264 1 _aLondon :
_bSpringer London,
_c2012.
300 _aVIII, 415 p. 37 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Undergraduate Mathematics Series,
_x1615-2085
505 0 _aPart 1 Complex Analysis.- Basic Notions -- Holomorphic Functions -- Sequences and Series -- Analytic Functions -- Part 2 Differential Equations.- Ordinary Differential Equations -- Solving Differential Equations -- Fourier Series -- Partial Differential Equations .
520 _aThis text provides an accessible, self-contained and rigorous introduction to complex analysis and differential equations. Topics covered include holomorphic functions, Fourier series, ordinary and partial differential equations. The text is divided into two parts: part one focuses on complex analysis and part two on differential equations. Each part can  be read independently, so in essence this text offers two books in one. In the second part of the book, some emphasis is given to the application of complex analysis to differential equations. Half of the book consists of approximately 200 worked out problems, carefully prepared for each part of theory, plus 200 exercises of variable levels of difficulty. Tailored to any course giving the first introduction to complex analysis or differential equations, this text assumes only a basic knowledge of linear algebra and differential and integral calculus. Moreover, the large number of examples, worked out problems and exercises makes this the ideal book for independent study.
650 0 _aMathematics.
650 0 _aFourier analysis.
650 0 _aFunctions of complex variables.
650 0 _aDifferential Equations.
650 0 _aDifferential equations, partial.
650 0 _aSequences (Mathematics).
650 1 4 _aMathematics.
650 2 4 _aFourier Analysis.
650 2 4 _aFunctions of a Complex Variable.
650 2 4 _aOrdinary Differential Equations.
650 2 4 _aPartial Differential Equations.
650 2 4 _aSequences, Series, Summability.
700 1 _aValls, Claudia.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781447140078
830 0 _aSpringer Undergraduate Mathematics Series,
_x1615-2085
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4471-4008-5
912 _aZDB-2-SMA
999 _c100748
_d100748