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001			21938609
003			IIITD
005			20260310172720.0
006			m |o d |
007			cr |||||||||||
008			161026s2016 gw |||| o |||| 0|eng
010			_a 2019769602
020			_a9783319421797
024	7		_a10.1007/978-3-319-42181-0 _2doi
035			_a21938609
035			_a(DE-He213)978-3-319-42181-0
040			_aIIITD _beng _epn _erda _cDLC
072		7	_aMAT034000 _2bisacsh
072		7	_aPBKD _2bicssc
072		7	_aPBKD _2thema
082	0	4	_a515.9 _223 _bALP-C
100	1		_aAlpay, Daniel
245	1	2	_aA complex analysis problem book _cby Daniel Alpay
250			_a2nd ed.
260			_aNew York : _bSpringer, _c©2016
300			_ax, 596 p. _bill. ; _c23 cm.
505	0		_aPart I Complex Numbers -- Complex Numbers: Algebra -- Complex Numbers: Geometry -- Complex Numbers and Analysis -- Part II Functions of a Complex Variable -- Cauchy-Riemann Equations and C-differentiable Functions -- Cauchy'sTheorem -- Morera, Liouville, Schwarz, et les autres: First Applications -- Laurent Expansions, Residues, Singularities and Applications -- Computations of Definite Integrals Using the Residue Theorem -- Part III Applications and More Advanced Topics -- Harmonic Functions -- Conformal Mappings -- A Taste of Linear System Theory and Signal Processing -- Rational Functions -- Special Functions and Transforms -- Part IV Appendix -- Some Topology -- Some Functional Analysis Essentials -- A Brief Survey of Integration.
520			_aThis second edition presents a collection of exercises on the theory of analytic functions, including completed and detailed solutions. It introduces students to various applications and aspects of the theory of analytic functions not always touched on in a first course, while also addressing topics of interest to electrical engineering students (e.g., the realization of rational functions and its connections to the theory of linear systems and state space representations of such systems). It provides examples of important Hilbert spaces of analytic functions (in particular the Hardy space and the Fock space), and also includes a section reviewing essential aspects of topology, functional analysis and Lebesgue integration. Benefits of the 2nd edition Rational functions are now covered in a separate chapter. Further, the section on conformal mappings has been expanded.
650		0	_aFunctions of complex variables.
650	1	4	_aFunctions of a Complex Variable.
776	0	8	_iPrint version: _tA complex analysis problem book _z9783319421797 _w(DLC) 2016957416
776	0	8	_iPrinted edition: _z9783319421797
776	0	8	_iPrinted edition: _z9783319421803
906			_a0 _bibc _corigres _du _encip _f20 _gy-gencatlg
942			_2ddc _cBK
999			_c209622 _d209622