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Elliptic Functions and Elliptic Integrals
 
Viktor Prasolov Independent University of Moscow, Russia
Yuri Solovyev Moscow State University, Russia
Elliptic Functions and Elliptic Integrals
Softcover ISBN:  978-0-8218-1346-1
Product Code:  MMONO/170.S
List Price: $155.00
AMS Member Price: $124.00
Not yet published - Preorder Now!
Expected availability date: May 15, 2024
eBook ISBN:  978-1-4704-4585-0
Product Code:  MMONO/170.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Softcover ISBN:  978-0-8218-1346-1
eBook: ISBN:  978-1-4704-4585-0
Product Code:  MMONO/170.S.B
List Price: $310.00 $232.50
AMS Member Price: $248.00 $186.00
Not yet published - Preorder Now!
Expected availability date: May 15, 2024
Elliptic Functions and Elliptic Integrals
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Elliptic Functions and Elliptic Integrals
Viktor Prasolov Independent University of Moscow, Russia
Yuri Solovyev Moscow State University, Russia
Softcover ISBN:  978-0-8218-1346-1
Product Code:  MMONO/170.S
List Price: $155.00
AMS Member Price: $124.00
Not yet published - Preorder Now!
Expected availability date: May 15, 2024
eBook ISBN:  978-1-4704-4585-0
Product Code:  MMONO/170.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Softcover ISBN:  978-0-8218-1346-1
eBook ISBN:  978-1-4704-4585-0
Product Code:  MMONO/170.S.B
List Price: $310.00 $232.50
AMS Member Price: $248.00 $186.00
Not yet published - Preorder Now!
Expected availability date: May 15, 2024
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 1701997; 185 pp
    MSC: Primary 11; 14; 33

    This book is devoted to the geometry and arithmetic of elliptic curves and to elliptic functions with applications to algebra and number theory. It includes modern interpretations of some famous classical algebraic theorems such as Abel's theorem on the lemniscate and Hermite's solution of the fifth degree equation by means of theta functions. Suitable as a text, the book is self-contained and assumes as prerequisites only the standard one-year courses of algebra and analysis.

    Readership

    Undergraduate students, graduate students, research mathematicians and physicists interested in elliptic functions.

  • Table of Contents
     
     
    • Chapters
    • Geometry of cubic curves
    • Elliptic functions
    • Arcs of curves and elliptic integrals
    • Abel’s theorem on division of lemniscate
    • Arithmetic of cubic curves
    • Algebraic equations
    • Theta functions and solutions of quintic equations
  • Additional Material
     
     
  • Reviews
     
     
    • A wonderful choice of topics, delivered in a concrete and lively style ... provide a lively introduction to many classical topics that lie at the foundations of contemporary algebra, number theory and algebraic geometry.

      Mathematical Reviews
    • The strong point of [this] book is the intertwining of complex analysis with algebraic geometry. The book is in fact an elementary introduction to the arithmetic of elliptic curves as well as a treatment of the theory of elliptic functions. the ideal book for a reading course!

      Mathematische Semesterberichte
    • Provides a great panoramic view for the beginner in the field. The style of writing is very cultured, with a sympathetic understanding and respect of the pioneering work of the old masters, and with a delightful sense of aesthetics and beauty. This book really breathes the charm and the fine art of the mathematics of Abel's era, and it is mainly this particular feature that makes the book under review fairly unique and highly valuable. Experts and teachers can benefit from the reading of this text likewise.

      Zentralblatt MATH
  • 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: 1701997; 185 pp
MSC: Primary 11; 14; 33

This book is devoted to the geometry and arithmetic of elliptic curves and to elliptic functions with applications to algebra and number theory. It includes modern interpretations of some famous classical algebraic theorems such as Abel's theorem on the lemniscate and Hermite's solution of the fifth degree equation by means of theta functions. Suitable as a text, the book is self-contained and assumes as prerequisites only the standard one-year courses of algebra and analysis.

Readership

Undergraduate students, graduate students, research mathematicians and physicists interested in elliptic functions.

  • Chapters
  • Geometry of cubic curves
  • Elliptic functions
  • Arcs of curves and elliptic integrals
  • Abel’s theorem on division of lemniscate
  • Arithmetic of cubic curves
  • Algebraic equations
  • Theta functions and solutions of quintic equations
  • A wonderful choice of topics, delivered in a concrete and lively style ... provide a lively introduction to many classical topics that lie at the foundations of contemporary algebra, number theory and algebraic geometry.

    Mathematical Reviews
  • The strong point of [this] book is the intertwining of complex analysis with algebraic geometry. The book is in fact an elementary introduction to the arithmetic of elliptic curves as well as a treatment of the theory of elliptic functions. the ideal book for a reading course!

    Mathematische Semesterberichte
  • Provides a great panoramic view for the beginner in the field. The style of writing is very cultured, with a sympathetic understanding and respect of the pioneering work of the old masters, and with a delightful sense of aesthetics and beauty. This book really breathes the charm and the fine art of the mathematics of Abel's era, and it is mainly this particular feature that makes the book under review fairly unique and highly valuable. Experts and teachers can benefit from the reading of this text likewise.

    Zentralblatt MATH
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
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