Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Advanced Complex Analysis: A Comprehensive Course in Analysis, Part 2B
 
Barry Simon California Institute of Technology, Pasadena, CA
Advanced Complex Analysis
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
eBook ISBN:  978-1-4704-2759-7
Product Code:  SIMON/2.2.E
List Price: $95.00
MAA Member Price: $85.50
AMS Member Price: $76.00
Hardcover ISBN:  978-1-4704-1101-5
eBook: ISBN:  978-1-4704-2759-7
Product Code:  SIMON/2.2.B
List Price: $194.00 $146.50
MAA Member Price: $174.60 $131.85
AMS Member Price: $155.20 $117.20
Advanced Complex Analysis
Click above image for expanded view
Advanced Complex Analysis: A Comprehensive Course in Analysis, Part 2B
Barry Simon California Institute of Technology, Pasadena, CA
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
eBook ISBN:  978-1-4704-2759-7
Product Code:  SIMON/2.2.E
List Price: $95.00
MAA Member Price: $85.50
AMS Member Price: $76.00
Hardcover ISBN:  978-1-4704-1101-5
eBook ISBN:  978-1-4704-2759-7
Product Code:  SIMON/2.2.B
List Price: $194.00 $146.50
MAA Member Price: $174.60 $131.85
AMS Member Price: $155.20 $117.20
  • 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
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
You may be interested in...
Please select which format for which you are requesting permissions.