Sinopsis
Master the elements of elliptic functions with clear, guided explanations and practical examples. This classic text introduces elliptic functions through definitions, key properties, and two-variable behavior, helping you see how sn, cn, and dn relate to familiar functions like sine and cosine. Rich with worked examples, it builds from fundamentals to applications in integration and geometry, making a challenging topic approachable.
- Learn how elliptic functions are defined by their differential relationships and how to work with two related moduli.
- Explore the addition, multiplication, and division of arguments, and how these lead to practical techniques in integration.
- Discover graphical representations and historical notes that illuminate notation and developments in the subject.
- See how these functions can help rationalize certain surds and connect to geometric ideas.
Ideal for students and self-learners who want a solid, exam-focused introduction to elliptic functions and their uses in higher mathematics.
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Reseña del editor
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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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.
Reseña del editor
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.)
About the Publisher
Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.
Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the aged text. Read books online for free at www.forgottenbooks.org
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The Elementary Properties of the Elliptic Functions: With Examples
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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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The Elementary Properties of the Elliptic Functions With Examples Classic Reprint
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781440066801
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The Elementary Properties of the Elliptic Functions: With Examples (Classic Reprint)
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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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ELEM PROPERTIES OF THE ELLIPTI
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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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