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_bVLOAD
_c201007211253
_dmalmash
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_dNoora
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_zNoora
050 _aQA331.7
_bL36 1999
245 1 _aGraduate Texts in Mathematics:
_cSerge Lang
250 _a4th ed
260 _aUSA:
_bSpringer Science Business Media Inc,
_cc1999
300 _a485p:
_bill;
_c24 cm
500 _aIncluse Index and Bibliographical References
505 _a: BASIC THEORY. 1: Complex Numbers and Functions. 2: Power Series. 3: Cauchy's Theorem, First Part. 4: Winding Numbers and Cauchy's Theorem. 5: Applications of Cauchy's Integral Formula. 6: Calculus of Residues. 7: Conformal Mappings. 8: Harmonic Functions. II: GEOMETRIC FUNCTION THEORY. 9: Schwarz Reflection. 10: The Riemann Mapping Theorem. 11: Analytic Continuation Along Curves. III: VARIOUS ANALYTIC TOPICS. 12: Applications of the Maximum Modulus Principle and Jensen's Formula. 13: Entire and Meromorphic Functions. 14: Elliptic Functions. 15: The Gamma and Zeta Functions. 16: The Prime Number Theorem.
520 _aThis is the fourth edition of Serge Lang's Complex Analysis. The first part of the book covers the basic material of complex analysis, and the second covers many special topics, such as the Riemann Mapping Theorem, the gamma function, and analytic continuation. Power series methods are used more systematically than in other texts, and the proofs using these methods often shed more light on the results than the standard proofs do. The first part of Complex Analysis is suitable for an introductory course on the undergraduate level, and the additional topics covered in the second part give the instructor of a graduate course a great deal of flexibility in structuring a more advanced course. This is a revised edition, new examples and exercises have been added, and many minor improvements have been made throughout the text
650 0 _aFunctions of complex variables
_91564
650 0 _aMathematics Analysis
_919156
942 _2lcc
_n0
_cBK
999 _c7508
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