Excerpt from The Elementary Properties of the Elliptic Functions: With Examples
The object of this work is to supply the wants of those students who, for reasons connected with ex aminations or otherwise, wish to have a knowledge of the elements of Elliptic Functions, not includ ing the Theory of Transformations and the Theta Functions. It 18 right that I should acknowledge my obligations to the treatise of Professor Cayley and to the lectures of Dr. Glaisher, as well as to the authorities referred to from time to time. I am also greatly indebted to my brother, Mr. A. L. Dixon, Fellow of Merton College, Oxford, for his kind help in reading all the proofs and working.
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Excerpt from The Elementary Properties of the Elliptic Functions: With Examples
The object of this work is to supply the wants of those students who, for reasons connected with ex aminations or otherwise, wish to have a knowledge of the elements of Elliptic Functions, not includ ing the Theory of Transformations and the Theta Functions. It 18 right that I should acknowledge my obligations to the treatise of Professor Cayley and to the lectures of Dr. Glaisher, as well as to the authorities referred to from time to time. I am also greatly indebted to my brother, Mr. A. L. Dixon, Fellow of Merton College, Oxford, for his kind help in reading all the proofs and working.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Elliptic Functions, not including the Theory ofT ransformations and the Theta Functions. It is right that I should acknowledge my obligations to the treatise of Professor Cayley and to the lectures of Dr. Glaisher, as well as to the authorities referred to from time to time. I am also greatly indebted to my brother, Mr. A. L. Dixon, Fellow of Merton College, Oxford, for his kind help in reading all the proofs and working through the examples, as also for his valuable suggestions. A. C. DIXON. DUBLIN, October,
(Typographical errors above are due to OCR software and don't occur in the book.)
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Paperback. Condición: New. Print on Demand. This book expands on the definitions of elliptic functions with examples. It introduces the terms period and related modulus and delves into the addition of arguments for functions such as sn(u), cn(u), and dn(u). The functions are defined by equations involving their derivatives and referred to as the Jacobian elliptic functions. They were first defined by Niels Henrik Abel and Carl Jacobi in the 19th century. They appear in many applications, including number theory, geometry, and physics, and this book explores their properties in depth, including the Weierstrass notation and degeneration of the functions. The book provides a thorough examination of elliptic functions that will benefit both students and professionals alike. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Nº de ref. del artículo: 9781440066801_0
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Paperback. Condición: Brand New. 152 pages. 9.00x6.00x0.35 inches. This item is printed on demand. Nº de ref. del artículo: zk1440066809
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Condición: New. KlappentextrnrnExcerpt from The Elementary Properties of the Elliptic Functions: With ExamplesThe object of this work is to supply the wants of those students who, for reasons connected with ex aminations or otherwise, wish to have a kno. Nº de ref. del artículo: 2148536857
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