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Advanced Complex Analysis: A Comprehensive Course in Analysis, Part 2B
 
Barry Simon California Institute of Technology, Pasadena, CA
Front Cover for Advanced Complex Analysis
Available Formats:
Hardcover ISBN: 978-1-4704-1101-5
Product Code: SIMON/2.2
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
Electronic ISBN: 978-1-4704-2759-7
Product Code: SIMON/2.2.E
List Price: $93.00
MAA Member Price: $83.70
AMS Member Price: $74.40
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $148.50
MAA Member Price: $133.65
AMS Member Price: $118.80
Front Cover for Advanced Complex Analysis
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  • Front Cover for Advanced Complex Analysis
  • Back Cover for Advanced Complex Analysis
Advanced Complex Analysis: A Comprehensive Course in Analysis, Part 2B
Barry Simon California Institute of Technology, Pasadena, CA
Available Formats:
Hardcover ISBN:  978-1-4704-1101-5
Product Code:  SIMON/2.2
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
Electronic ISBN:  978-1-4704-2759-7
Product Code:  SIMON/2.2.E
List Price: $93.00
MAA Member Price: $83.70
AMS Member Price: $74.40
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $148.50
MAA Member Price: $133.65
AMS Member Price: $118.80
  • Book Details
     
     
    2015; 321 pp
    MSC: Primary 30; 33; 34; 11; Secondary 60;

    A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis.

    Part 2B provides a comprehensive look at a number of subjects of complex analysis not included in Part 2A. Presented in this volume are the theory of conformal metrics (including the Poincaré metric, the Ahlfors-Robinson proof of Picard's theorem, and Bell's proof of the Painlevé smoothness theorem), topics in analytic number theory (including Jacobi's two- and four-square theorems, the Dirichlet prime progression theorem, the prime number theorem, and the Hardy-Littlewood asymptotics for the number of partitions), the theory of Fuchsian differential equations, asymptotic methods (including Euler's method, stationary phase, the saddle-point method, and the WKB method), univalent functions (including an introduction to SLE), and Nevanlinna theory. The chapters on Fuchsian differential equations and on asymptotic methods can be viewed as a minicourse on the theory of special functions.

    Readership

    Researchers (mathematicians and some applied mathematicians and physicists) using analysis, professors teaching analysis at the graduate level, graduate students who need any kind of analysis in their work.

    This item is also available as part of a set:
  • Table of Contents
     
     
    • Chapters
    • Chapter 12. Riemannian metrics and complex analysis
    • Chapter 13. Some topics in analytic number theory
    • Chapter 14. Ordinary differential equations in the complex domain
    • Chapter 15. Asymptotic methods
    • Chapter 16. Univalent functions and Loewner evolution
    • Chapter 17. Nevanlinna theory
  • Additional Material
     
     
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2015; 321 pp
MSC: Primary 30; 33; 34; 11; Secondary 60;

A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis.

Part 2B provides a comprehensive look at a number of subjects of complex analysis not included in Part 2A. Presented in this volume are the theory of conformal metrics (including the Poincaré metric, the Ahlfors-Robinson proof of Picard's theorem, and Bell's proof of the Painlevé smoothness theorem), topics in analytic number theory (including Jacobi's two- and four-square theorems, the Dirichlet prime progression theorem, the prime number theorem, and the Hardy-Littlewood asymptotics for the number of partitions), the theory of Fuchsian differential equations, asymptotic methods (including Euler's method, stationary phase, the saddle-point method, and the WKB method), univalent functions (including an introduction to SLE), and Nevanlinna theory. The chapters on Fuchsian differential equations and on asymptotic methods can be viewed as a minicourse on the theory of special functions.

Readership

Researchers (mathematicians and some applied mathematicians and physicists) using analysis, professors teaching analysis at the graduate level, graduate students who need any kind of analysis in their work.

This item is also available as part of a set:
  • Chapters
  • Chapter 12. Riemannian metrics and complex analysis
  • Chapter 13. Some topics in analytic number theory
  • Chapter 14. Ordinary differential equations in the complex domain
  • Chapter 15. Asymptotic methods
  • Chapter 16. Univalent functions and Loewner evolution
  • Chapter 17. Nevanlinna theory
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