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 introductor…
Read More ↓Title Statements
- Full title :Complex Analysis / by 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. This is a revised edition, new examples and exercises have been added, and many minor improvements have been made throughout the text.
Read More ↓Edition Statements
- Publication Date:1999.
- Edition:Fourth edition
Publication Statements
- Publisher(s):Springer New York
- Place of Publication:New York, NY
- Language:eng
- Publication Date:1999.
The Physical Object
- Description:1 online resource (xiv, 489 pages)
Edition Identifiers
- ISBN:9781475730838, 1475730837
- DOI:10.1007/978-1-4757-3083-8
- oclc:ocn851779860
- LC Classification:QA299.6-433
- Dewey Decimal:515
Table of Contents
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.
Read More ↓Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
The analytic hierarchy process: planning, priority setting, resource al…
Saaty, Thomas L., (Thomas Lorie)
ECCOMAS Multidisciplinary Jubilee Symposium: New Computational Challenges in Materia…
ECCOMAS Multidisciplinary Jubilee Symposium, Viena, Àustria)
Solitons and nonlinear wave equations
Ernst Equation and Riemann Surfaces: Analytical and Numerical Methods
Klein, Christian
Topics in geophysical fluid dynamics: atmospheric dynamics, dynamo theory, and …
Ghil, Michael
Wavelet analysis and applications
International Conference on Wavelet Analysis and Its Applications, University of Macau)
Imagine math 7: between culture and mathematics
Quantal Density Functional Theory II: Approximation Methods and Applications
Sahni, Viraht
Rate & Review