Handbook of Elliptic Integrals for Engineers and Physicists

Author: Paul F. Byrd,Morris D. Friedman

Publisher: Springer

ISBN: 3642528031

Category: Mathematics

Page: 358

View: 6700

Engineers and physicists are more and more encountering integrations involving nonelementary integrals and higher transeendental functions. Such integrations frequently involve (not always in immediately re cognizable form) elliptic functions and elliptic integrals. The numerous books written on elliptic integrals, while of great value to the student or mathematician, are not especially suitable for the scientist whose primary objective is the ready evaluation of the integrals that occur in his practical problems. As a result, he may entirely avoid problems which lead to elliptic integrals, or is likely to resort to graphical methods or other means of approximation in dealing with all but the siruplest of these integrals. It became apparent in the course of my work in theoretical aero dynamics that there was a need for a handbook embodying in convenient form a comprehensive table of elliptic integrals together with auxiliary formulas and numerical tables of values. Feeling that such a book would save the engineer and physicist much valuable time, I prepared the present volume.

Elliptic Functions and Elliptic Integrals

Author: Viktor Vasil_evich Prasolov,I_Uri_ Pavlovich Solov_ev

Publisher: American Mathematical Soc.

ISBN: 9780821897805

Category: Mathematics

Page: 185

View: 9264

This book is devoted to the geometry and arithmetic of elliptic curves and to elliptic functions with applications to algebra and number theory. It includes modern interpretations of some famous classical algebraic theorems such as Abel's theorem on the lemniscate and Hermite's solution of the fifth degree equation by means of theta functions. Suitable as a text, the book is self-contained and assumes as prerequisites only the standard one-year courses of algebra and analysis.

Table of Integrals, Series, and Products

Author: Alan Jeffrey,Daniel Zwillinger

Publisher: Elsevier

ISBN: 9780080471112

Category: Mathematics

Page: 1200

View: 3216

The Table of Integrals, Series, and Products is the essential reference for integrals in the English language. Mathematicians, scientists, and engineers, rely on it when identifying and subsequently solving extremely complex problems. Since publication of the first English-language edition in 1965, it has been thoroughly revised and enlarged on a regular basis, with substantial additions and, where necessary, existing entries corrected or revised. The seventh edition includes a fully searchable CD-Rom. - Fully searchable CD that puts information at your fingertips included with text - Most up to date listing of integrals, series and products - Provides accuracy and efficiency in work

Elliptic Integrals

Author: Harris Hancock

Publisher: N.A


Category: Elliptic functions

Page: 104

View: 9972

Mathematics and Its History

Author: John Stillwell

Publisher: Springer Science & Business Media

ISBN: 9780387953366

Category: Mathematics

Page: 544

View: 8350

This book offers a collection of historical essays detailing a large variety of mathematical disciplines and issues; it’s accessible to a broad audience. This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added as well as commentary that helps place the exercises in context.

Elliptische Integrale für TI-58/59

Mathematische Routinen der Physik, Chemie und Technik

Author: Peter Kahlig

Publisher: Springer-Verlag

ISBN: 3322894460

Category: Mathematics

Page: 142

View: 5285

Elliptic Integrals

Author: Francis William Newman

Publisher: Franklin Classics

ISBN: 9780343320249


Page: 220

View: 9781

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Lectures on the Theory of Elliptic Functions

Author: Harris Hancock

Publisher: Courier Corporation

ISBN: 9780486438252

Category: Mathematics

Page: 498

View: 9689

Prized for its extensive coverage of classical material, this text is also well regarded for its unusual fullness of treatment and its comprehensive discussion of both theory and applications. The author developes the theory of elliptic integrals, beginning with formulas establishing the existence, formation, and treatment of all three types, and concluding with the most general description of these integrals in terms of the Riemann surface. The theories of Legendre, Abel, Jacobi, and Weierstrass are developed individually and correlated with the universal laws of Riemann. The important contributory theorems of Hermite and Liouville are also fully developed. 1910 ed.