» » The Elementary Properties of the Elliptic Functions, With Examples: -1894
Download The Elementary Properties of the Elliptic Functions, With Examples: -1894 epub book
ISBN:1112229574
Author: Alfred Cardew Dixon
ISBN13: 978-1112229572
Title: The Elementary Properties of the Elliptic Functions, With Examples: -1894
Format: mbr lrf txt lit
ePUB size: 1343 kb
FB2 size: 1649 kb
DJVU size: 1752 kb
Language: English
Category: Engineering
Publisher: Cornell University Library (July 24, 2009)
Pages: 162

The Elementary Properties of the Elliptic Functions, With Examples: -1894 by Alfred Cardew Dixon



Originally published in 1894. This volume from the Cornell University Library's print collections was scanned on an APT BookScan and converted to JPG 2000 format by Kirtas Technologies. All titles scanned cover to cover and pages may include marks notations and other marginalia present in the original volume. Categories: Mathematics\Analysis. Pages: 149. ISBN 10: 1112229574. ISBN 13: 9781112229572.

by Dixon, Alfred Cardew. Publication date 1894. Topics Elliptic functions. Publisher London, New York : Macmillan. Collection cdl; americana. Digitizing sponsor MSN. Contributor University of California Libraries. Call number SRLF UCSD:LAGE-5274058.

Author: Alfred Cardew Dixon. An elementary treatise on elliptic functions. Elliptic functions: An elementary text-book. Topological Properties of Spaces of Continuous Functions. Complex Functions Examples c-1 - Examples concerning Complex Numbers. Elementary Functions: Algorithms and Implementation. Elliptic functions: An elementary text-book Elliptic Functions. Grundlehren der mathematischen Wissenschaften 272 A Series of Comprehensive Studies in Mathematics P. .

The elementary properties of the elliptic functions, with examples Close. 1 2 3 4 5. Want to Read. Are you sure you want to remove The elementary properties of the elliptic functions, with examples from your list? The elementary properties of the elliptic functions, with examples. by Alfred Cardew Dixon. Published 1894 by Macmillan in London. viii, 142 p. Number of pages.

Authors: Dixon, Alfred Cardew, 1865-. Categories: Nonfiction. Under federal law, if you knowingly misrepresent that online material is infringing, you may be subject to criminal prosecution for perjury and civil penalties, including monetary damages, court costs, and attorneys’ fees.

This is a reproduction of a book published before 1923 ) This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. DIXON, Alfred Cardew was born in 1865. Son of Reverend G. T. Dixon, Wesleyan Minister. Studied at Kingswood and Woodhouse Grove School. Trinity College,! Cambridge. Senior Wrangler 1886 (late Fellow). Master of Arts (Loud.

Dixon, Alfred Cardew. Note: London, New York, Macmillan, 1894.

A literary source-book of the Italian Renaissance by Merrick Whitcomb On March 22, 1723.

Publisher: Macmillan 1894 ISBN/ASIN: B002WUEWK0 Number of pages: 164. Description: The object of this work is to supply the wants of those students who, for reasons connected with examinations or otherwise, wish to have a knowledge of the elements of Elliptic Functions, not including the Theory of Transformations and the Theta Functions. It will give the uninitiated some idea of the nature of one of the most important branches of modem mathematics.

The Elementary Properties of the Elliptic Functions, With Examples: -1894 book download Alfred Cardew Dixon Download The Elementary Properties of the Elliptic Functions, With. it: Alfred Cardew Dixon: Libri in altre lingue The elementary properties of the elliptic functions, with examples Free Books Science Mathematics General The elementary properties of the elliptic functions, with examples The Elementary Properties of the Elliptic Functions, with Examples. The Elementary Properties of the Elliptic Functions, with Examples.

Originally published in 1894. This volume from the Cornell University Library's print collections was scanned on an APT BookScan and converted to JPG 2000 format by Kirtas Technologies. All titles scanned cover to cover and pages may include marks notations and other marginalia present in the original volume.
Reviews: 2
Cargahibe
I have been always fascinated by Elliptic Fuctions, in fact I own no less than 5 books on this subject, this classics reprint is excellent.
But you must have adequate mathematical background on the complex function theory and calculus. But there is one complaint, not only in this books, but in all books by Merchant Books publisher, I don't understand why they do not provide the date of the original pubication date of all these classic books!! Due to copyright? But if this is the reaon, they do not have the right to publish that!!! Just printing the date of publication I do not think this would violate that. Compared with Cornell University's publication, which they are doing the same things, at least they publish the date of the original book. Other readers known the reason? Please tell me if so!!!
Kulalbine
This book initially foregoes the elliptic integrals to introduce Jacobi's elliptic functions sn, cn, and dn directly. The author begins by examining the exponential function which is introduced via the initial value problems d exp(x) / dx = exp(x) and exp(0) = 1. From this, the author shows, one is able to deduce the addition formula for the exponential function, exp(x+y) = exp(x)*exp(y). The author then moves on to show how the same approach can be applied to the circular functions sin and cos and demonstrates that not only can one deduce the correct addition formula but also that these functions are periodic.

Finally the author applies this approach to introducing Jacobi's elliptic functions.

That's all in chapter one which the author ends by introducing Glaisher's convenient notation. In chapter two, the author first demonstrates the periodicity of the elliptic functions and Jacobi's imaginary transformation. He also expends quite a bit of effort showing that there cannot exist a function on the complex numbers having three independent periods.

Chapter three tackles various addition theorems. This is noteworthy as addition theorems are generally considered rather advanced results, and this book makes them appear pretty simple to arrive at.

Chapter four covers theorems for multiplication and division of the argument analogous to half angle formulas in trigonometry.

Chapter five covers integration. There are a number of useful results here.

Chapter six covers addition formulas for the ancillary functions E and Pi which arise in connection with Jacobi's elliptic functions, and chapter seven covers Weierstrass' notation for elliptic functions.

Chapter eight is a very short chapter on differentiation with respect to the argument while chapter nine covers differentiation with respect to the modulus.

Chapter ten is by far the longest chapter in the book. It covers two applications. The first to algebraic curves which I found mostly incomprehensible and the second to the circular pendulum which I found rather hard to follow in spite of being fairly familiar with the topic.

Appendix A provides some graphical representations of the elliptic functions which could have been much better, and appendix B ends the book with a short history of the notation.

Overall, I felt this was book that started out excellent and went into a bit of decline towards the end. Nonetheless, this is the most approachable introduction to this sometimes all too arcane topic I have yet to see, and manages to cover quite a bit of the material necessary for anyone wishing to come up to speed on elliptic functions.