دانلود کتاب Elliptic Integrals and Elliptic Functions

فهرست مطالب :

Preface
Acknowledgements
Contents
Chapter 0 Introduction
0.1 What is an Elliptic Function in one Phrase?
0.2 What Properties Do Elliptic Functions Have?
0.3 What Use Are Elliptic Functions?
Pendulum
Skipping rope
Soliton equations
Solvable lattice models
Arithmetic-geometric mean
Formula for solving quintic equations
0.4 A Small Digression on Elliptic Curves
0.5 Structure of this book
Part I Real Part
Chapter 1 The Arc Length of Curves
1.1 The Arc Length of the Ellipse
1.2 The Lemniscate and its Arc Length
Chapter 2 Classification of Elliptic Integrals
2.1 What is an Elliptic Integral?
2.2 Classification of Elliptic Integrals
(I) Standardising