Book:Alfred George Greenhill/The applications of elliptic functions

Harry Bateman: The applications of elliptic functions

Published $1892$, London, New York, Macmillan.

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Contents

INTRODUCTION

CHAPTER I. THE ELLIPTIC FUNCTIONS

CHAPTER II. THE ELLIPTIC INTEGRALS

CHAPTER III. GEOMETRIC AND MECHANICAL ILLUSTRATIONS OF THE ELLIPTIC FUNCTIONS

CHAPTER IV. THE ADDITION THEOREM FOR ELLIPTIC FUNCTIONS

CHAPTER V. THE ALGEBRAICAL FORM OF THE ADDITION THEOREM

CHAPTER VI. THE ELLIPTIC INTEGRALS OF THE SECOND AND THIRD KIND

CHAPTER VII. THE ELLIPTIC INTEGRALS IN GENERAL AND THEIR APPLICATIONS

CHAPTER VIII. THE DOUBLE PERIODICITY OF THE ELLIPTIC FUNCTIONS

CHAPTER IX. THE RESOLUTION OF THE ELLIPTIC FUNCTIONS INTO FACTORS AND SERIES

CHAPTER X. THE TRANSFORMATION OF ELLIPTIC FUNCITONS

APPENDIX

INDEX