Serge Lang

Complex Analysis (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 489
• Erscheinungstermin: 14. März 2013
• Englisch
• ISBN-13: 9781475730838
• Artikelnr.: 43988909

Inhaltsangabe

One Basic Theory.- I Complex Numbers and Functions.- II Power Series.- III Cauchy's Theorem, First Part.- IV Winding Numbers and Cauchy's Theorem.- V Applications of Cauchy's integral Formula.- VI Calculus of Residues.- VII Conformal Mappings.- VIII Harmonic Functions.- Two Geometric Function Theory.- IX Schwarz Reflection.- X The Riemann Mapping Theorem.- XI Analytic Continuation Along Curves.- Three Various Analytic Topics.- XII Applications of the Maximum Modulus Principle and Jensen's Formula.- XIII Entire and Meromorphic Functions.- XIV Elliptic Functions.- XV The Gamma and Zeta Functions.- XVI The Prime Number Theorem.- 1. Summation by Parts and Non-Absolute Convergence.- 2. Difference Equations.- 3. Analytic Differential Equations.- 4. Fixed Points of a Fractional Linear Transformation.- 6. Cauchy's Theorem for Locally Integrable Vector Fields.- 7. More on Cauchy-Riemann.

Rezensionen

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.

"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

Fourth Edition

S. Lang

Complex Analysis

"A highly recommendable book for a two semester course on complex analysis."

-ZENTRALBLATTMATH

"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 Fourth Edition S. Lang Complex Analysis "A highly recommendable book for a two semester course on complex analysis." -ZENTRALBLATTMATH