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Complex Analysis
, Fourth Edition
Author(s): Serge Lang
ISBN: 9788181282941
No. of Pages: 515
Publishing Year: 2nd Reprint 2009
Binding: Paperback
Dimension:
Weight: 610
Subject: Mathematics
Price:
Rs 495.00 $ 0.00 £ 0.00
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| About the Book:
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| complex analysis, while 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 is found in other texts, and the resulting proofs often shed more light on the results than the standard proofs. While the first part is suitable for an introductory course at undergraduate level, 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 |
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| Contents: |
I: 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
Readership: Graduate mathematics students, mathematicians |
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