Complex analysis
by Lang, Serge
"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 introducto…
Read More ↓Title Statements
- Full title :Complex analysis / Serge Lang.
Summary
"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."--BOOK JACKET.
Read More ↓Edition Statements
- Publication Date:©1999.
- Edition:4th ed
Publication Statements
- Publisher(s):Springer
- Place of Publication:New York
- Language:eng
- Publication Date:©1999.
The Physical Object
- Description:xiv, 485 pages : : illustrations ; : 25 cm.
Edition Identifiers
- ISBN:0387985921, 9780387985923, 9781441931351, 144193135X
- oclc:ocm39368512
- LC Classification:QA331.7
- Dewey Decimal:515/.9
Table of Contents
pt. 1. Basic Theory -- Ch. I. Complex Numbers and Functions -- Ch. II. Power Series -- Ch. III. Cauchy's Theorem, First Part -- Ch. IV. Winding Numbers and Cauchy's Theorem -- Ch. V. Applications of Cauchy's Integral Formula -- Ch. VI. Calculus of Residues -- Ch. VII. Conformal Mappings -- Ch. VIII. Harmonic Functions -- pt. 2. Geometric Function Theory -- Ch. IX. Schwarz Reflection -- Ch. X. The Riemann Mapping Theorem -- Ch. XI. Analytic Continuation Along Curves -- pt. 3. Various Analytic Topics -- Ch. XII. Applications of the Maximum Modulus Principle and Jensen's Formula -- Ch. XIII. Entire and Meromorphic Functions -- Ch. XIV. Elliptic Functions -- Ch. XV. The Gamma and Zeta Functions -- Ch. XVI. The Prime Number Theorem -- App. 1. Summation by Parts and Non-Absolute Convergence -- App. 2. Difference Equations -- App. 3. Analytic Differential Equations -- App. 4. Fixed Points of a Fractional Linear Transformation -- App. 5. Cauchy's Formula for C[superscript infinity] Functions -- App. 6. Cauchy's Theorem for Locally Integrable Vector Fields.
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