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Discontinuous Groups and Automorphic Functions
 
Discontinuous Groups and Automorphic Functions
Softcover ISBN:  978-0-8218-1508-3
Product Code:  SURV/8
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
eBook ISBN:  978-1-4704-1236-4
Product Code:  SURV/8.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-1508-3
eBook: ISBN:  978-1-4704-1236-4
Product Code:  SURV/8.B
List Price: $254.00 $191.50
MAA Member Price: $228.60 $172.35
AMS Member Price: $203.20 $153.20
Discontinuous Groups and Automorphic Functions
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Discontinuous Groups and Automorphic Functions
Softcover ISBN:  978-0-8218-1508-3
Product Code:  SURV/8
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
eBook ISBN:  978-1-4704-1236-4
Product Code:  SURV/8.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-1508-3
eBook ISBN:  978-1-4704-1236-4
Product Code:  SURV/8.B
List Price: $254.00 $191.50
MAA Member Price: $228.60 $172.35
AMS Member Price: $203.20 $153.20
  • Book Details
     
     
    Mathematical Surveys and Monographs
    Volume: 81964; 425 pp
    MSC: Primary 30; Secondary 11;

    Much has been written on the theory of discontinuous groups and automorphic functions since 1880, when the subject received its first formulation. The purpose of this book is to bring together in one place both the classical and modern aspects of the theory, and to present them clearly and in a modern language and notation. The emphasis in this book is on the fundamental parts of the subject.

    The book is directed to three classes of readers: graduate students approaching the subject for the first time, mature mathematicians who wish to gain some knowledge and understanding of automorphic function theory, and experts.

  • Table of Contents
     
     
    • Chapters
    • I. Historical development
    • II. Preparatory material
    • III. Discontinuous groups
    • IV. The fundamental region
    • V. Automorphic functions and forms
    • VI. Riemann surfaces
    • VII. The structure of discontinuous groups
    • VIII. Forms of negative dimension
    • IX. Forms of positive and zero dimension
    • X. Transitivity
    • XI. The modular group and modular functions
    • XII. Automorphic functions of several complex variables
  • 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
Volume: 81964; 425 pp
MSC: Primary 30; Secondary 11;

Much has been written on the theory of discontinuous groups and automorphic functions since 1880, when the subject received its first formulation. The purpose of this book is to bring together in one place both the classical and modern aspects of the theory, and to present them clearly and in a modern language and notation. The emphasis in this book is on the fundamental parts of the subject.

The book is directed to three classes of readers: graduate students approaching the subject for the first time, mature mathematicians who wish to gain some knowledge and understanding of automorphic function theory, and experts.

  • Chapters
  • I. Historical development
  • II. Preparatory material
  • III. Discontinuous groups
  • IV. The fundamental region
  • V. Automorphic functions and forms
  • VI. Riemann surfaces
  • VII. The structure of discontinuous groups
  • VIII. Forms of negative dimension
  • IX. Forms of positive and zero dimension
  • X. Transitivity
  • XI. The modular group and modular functions
  • XII. Automorphic functions of several complex variables
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
Please select which format for which you are requesting permissions.