Complex Analysis
(Sprache: Englisch)
Now in its fourth edition, the first part of this book is devoted to the basic material of complex analysis, while the second covers many special topics, such as the Riemann Mapping Theorem, the gamma function, and analytic continuation. Power series...
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Now in its fourth edition, the first part of this book is devoted to the basic material of 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 gradute course a great deal of flexibility in structuring a more advanced course.
Klappentext zu „Complex Analysis “
This 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.
Inhaltsverzeichnis zu „Complex Analysis “
I: Basic Theory:- Complex Numbers and Functions
- Power Series
- Cauchy's Theorem, First Part
- Winding Numbers and Cauchy's Theorem
- Applications of Cauchy's Integral Formula
- Calculus of Residues
- Conformal Mappings
- Harmonic Functions
II: Geometric Function Theory:
- Schwarz Reflection
- The Riemann Mapping Theorem
- Analytic Continuation Along Curves
III: Various Analytic Topics:
- Applications of the Maximum Modulus Principle and Jensen's Formula
- Entire and Meromorphic Functions
- Elliptic Functions
- The Gamma and Zeta Functions
- The Prime Number Theorem
Bibliographische Angaben
- Autor: Serge Lang
- 2003, 4th ed., 489 Seiten, 139 Abbildungen, Masse: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387985921
- ISBN-13: 9780387985923
- Erscheinungsdatum: 30.07.2003
Sprache:
Englisch
Rezension zu „Complex Analysis “
"The very understandable style of explanation, which is typical for this author, makes the book valuable for both students and teachers."EMS Newsletter, Vol. 37, Sept. 2000
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