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Elliptic Functions and Elliptic Curves : London Mathematical Society Lecture Notes - Patrick Duval

Elliptic Functions and Elliptic Curves

London Mathematical Society Lecture Notes

Paperback Published: 1st October 1973
ISBN: 9780521200363
Number Of Pages: 256

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A comprehensive treatment of elliptic functions is linked by these notes to a study of their application to elliptic curves. This approach provides geometers with the opportunity to acquaint themselves with aspects of their subject virtually ignored by other texts. The exposition is clear and logically carries themes from earlier through to later topics. This enthusiastic work of scholarship is made complete with the inclusion of some interesting historical details and a very comprehensive bibliography.

Preface
Introductory
Weierstrass functions
Invariants and the modular function
The Jacobi functions
The Riemann surface and the integral of the first kind
Quasi-elliptic functions and integrals of the second and third kinds
The ternary elliptic functions
Transformations and modular relations
Trigonometric expansions
The theta functions
Elliptic curves
The plan curbic
Elliptic quartic curves
Historical note
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521200363
ISBN-10: 0521200369
Series: London Mathematical Society Lecture Notes
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 256
Published: 1st October 1973
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 1.47
Weight (kg): 0.38