Elliptic Integrals of the Third Kind

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Publisher :
ISBN 13 :
Total Pages : 210 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Elliptic Integrals of the Third Kind by : Dennis G. Zill

Download or read book Elliptic Integrals of the Third Kind written by Dennis G. Zill and published by . This book was released on 1967 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Elliptic Integrals for Engineers and Physicists

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Publisher : Springer
ISBN 13 : 3642528031
Total Pages : 370 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Handbook of Elliptic Integrals for Engineers and Physicists by : Paul F. Byrd

Download or read book Handbook of Elliptic Integrals for Engineers and Physicists written by Paul F. Byrd and published by Springer. This book was released on 2013-11-21 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Tables of Elliptic Integrals of the First, Second and Third Kind

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ISBN 13 :
Total Pages : 110 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Tables of Elliptic Integrals of the First, Second and Third Kind by : Henry E. Fettis

Download or read book Tables of Elliptic Integrals of the First, Second and Third Kind written by Henry E. Fettis and published by . This book was released on 1964 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tables are presented of elliptic integrals of the first and second kinds as functions of the modulus (k) and modulus squared for values of the amplitude ranging from phi = 5 degrees to phi = 90 degrees, inclusive, and values of k and k squared between 0 and 1.0. Tables of the elliptic integral of the third kind are given. The ranges of k and phi are as above, while the range of alpha squared extends from alpha squared = -1.0 to alpha squared = +1.0.

An Atlas of Functions

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Publisher : Springer Science & Business Media
ISBN 13 : 0387488073
Total Pages : 737 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis An Atlas of Functions by : Keith B. Oldham

Download or read book An Atlas of Functions written by Keith B. Oldham and published by Springer Science & Business Media. This book was released on 2010-07-15 with total page 737 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprehensively covers several hundred functions or function families. In chapters that progress by degree of complexity, it starts with simple, integer-valued functions then moves on to polynomials, Bessel, hypergeometric and hundreds more.

Elliptic Functions and Elliptic Integrals

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821897805
Total Pages : 202 pages
Book Rating : 4.8/5 (978 download)

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Book Synopsis Elliptic Functions and Elliptic Integrals by : Viktor Vasil_evich Prasolov

Download or read book Elliptic Functions and Elliptic Integrals written by Viktor Vasil_evich Prasolov and published by American Mathematical Soc.. This book was released on 1997-09-16 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Elliptic Functions and Elliptic Curves

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Publisher : Cambridge University Press
ISBN 13 : 0521200369
Total Pages : 257 pages
Book Rating : 4.5/5 (212 download)

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Book Synopsis Elliptic Functions and Elliptic Curves by : Patrick Du Val

Download or read book Elliptic Functions and Elliptic Curves written by Patrick Du Val and published by Cambridge University Press. This book was released on 1973-08-02 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive treatment of elliptic functions is linked by these notes to a study of their application to elliptic curves. This approach provides geometers with the opportunity to acquaint themselves with aspects of their subject virtually ignored by other texts. The exposition is clear and logically carries themes from earlier through to later topics. This enthusiastic work of scholarship is made complete with the inclusion of some interesting historical details and a very comprehensive bibliography.

The Applications of Elliptic Functions

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Publisher :
ISBN 13 :
Total Pages : 386 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Applications of Elliptic Functions by : Sir George Greenhill

Download or read book The Applications of Elliptic Functions written by Sir George Greenhill and published by . This book was released on 1892 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elliptic Functions According to Eisenstein and Kronecker

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540650362
Total Pages : 112 pages
Book Rating : 4.6/5 (53 download)

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Book Synopsis Elliptic Functions According to Eisenstein and Kronecker by : Andre Weil

Download or read book Elliptic Functions According to Eisenstein and Kronecker written by Andre Weil and published by Springer Science & Business Media. This book was released on 1999 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawn from the Foreword: (...) On the other hand, since much of the material in this volume seems suitable for inclusion in elementary courses, it may not be superfluous to point out that it is almost entirely self-contained. Even the basic facts about trigonometric functions are treated ab initio in Ch. II, according to Eisenstein's method. It would have been both logical and convenient to treat the gamma -function similarly in Ch. VII; for the sake of brevity, this has not been done, and a knowledge of some elementary properties of T(s) has been assumed. One further prerequisite in Part II is Dirichlet's theorem on Fourier series, together with the method of Poisson summation which is only a special case of that theorem; in the case under consideration (essentially no more than the transformation formula for the theta-function) this presupposes the calculation of some classical integrals. (...) As to the final chapter, it concerns applications to number theory (...).

A Table of the Incomplete Elliptic Integral of the Third Kind

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Publisher :
ISBN 13 :
Total Pages : 838 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis A Table of the Incomplete Elliptic Integral of the Third Kind by : Naval Ordnance Test Station (Inyokern, Calif.). Research Department

Download or read book A Table of the Incomplete Elliptic Integral of the Third Kind written by Naval Ordnance Test Station (Inyokern, Calif.). Research Department and published by . This book was released on 1958 with total page 838 pages. Available in PDF, EPUB and Kindle. Book excerpt: Children aged one to ten are shown in groups whose number of members corresponds to the age of the children.

Strongly Elliptic Systems and Boundary Integral Equations

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Publisher : Cambridge University Press
ISBN 13 : 9780521663755
Total Pages : 376 pages
Book Rating : 4.6/5 (637 download)

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Book Synopsis Strongly Elliptic Systems and Boundary Integral Equations by : William Charles Hector McLean

Download or read book Strongly Elliptic Systems and Boundary Integral Equations written by William Charles Hector McLean and published by Cambridge University Press. This book was released on 2000-01-28 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2000 book provided the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains.

Special Functions in Physics with MATLAB

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Publisher : Springer Nature
ISBN 13 : 3030642321
Total Pages : 282 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Special Functions in Physics with MATLAB by : Wolfgang Schweizer

Download or read book Special Functions in Physics with MATLAB written by Wolfgang Schweizer and published by Springer Nature. This book was released on 2021-03-25 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook focuses on special functions in physics in the real and complex domain. It covers more than 170 different functions with additional numerical hints for efficient computation, which are useful to anyone who needs to program with other programming languages as well. The book comes with MATLAB-based programs for each of these functions and a detailed html-based documentation. Some of the explained functions are: Gamma and Beta functions; Legendre functions, which are linked to quantum mechanics and electrodynamics; Bessel functions; hypergeometric functions, which play an important role in mathematical physics; orthogonal polynomials, which are largely used in computational physics; and Riemann zeta functions, which play an important role, e.g., in quantum chaos or string theory. The book’s primary audience are scientists, professionals working in research areas of industries, and advanced students in physics, applied mathematics, and engineering.

Lectures on Selected Topics in Mathematical Physics

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Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681742306
Total Pages : 67 pages
Book Rating : 4.6/5 (817 download)

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Book Synopsis Lectures on Selected Topics in Mathematical Physics by : William A. Schwalm

Download or read book Lectures on Selected Topics in Mathematical Physics written by William A. Schwalm and published by Morgan & Claypool Publishers. This book was released on 2015-12-31 with total page 67 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a basic introduction to certain aspects of elliptic functions and elliptic integrals. Primarily, the elliptic functions stand out as closed solutions to a class of physical and geometrical problems giving rise to nonlinear differential equations. While these nonlinear equations may not be the types of greatest interest currently, the fact that they are solvable exactly in terms of functions about which much is known makes up for this. The elliptic functions of Jacobi, or equivalently the Weierstrass elliptic functions, inhabit the literature on current problems in condensed matter and statistical physics, on solitons and conformal representations, and all sorts of famous problems in classical mechanics. The lectures on elliptic functions have evolved as part of the first semester of a course on theoretical and mathematical methods given to first and second year graduate students in physics and chemistry at the University of North Dakota. They are for graduate students or for researchers who want an elementary introduction to the subject that nevertheless leaves them with enough of the details to address real problems. The style is supposed to be informal. The intention is to introduce the subject as a moderate extension of ordinary trigonometry in which the reference circle is replaced by an ellipse. This entre depends upon fewer tools and has seemed less intimidating that other typical introductions to the subject that depend on some knowledge of complex variables. The first three lectures assume only calculus, including the chain rule and elementary knowledge of differential equations. In the later lectures, the complex analytic properties are introduced naturally so that a more complete study becomes possible.

Table of Integrals, Series, and Products

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Publisher : Academic Press
ISBN 13 : 1483265641
Total Pages : 1207 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Table of Integrals, Series, and Products by : I. S. Gradshteyn

Download or read book Table of Integrals, Series, and Products written by I. S. Gradshteyn and published by Academic Press. This book was released on 2014-05-10 with total page 1207 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of Integrals, Series, and Products provides information pertinent to the fundamental aspects of integrals, series, and products. This book provides a comprehensive table of integrals. Organized into 17 chapters, this book begins with an overview of elementary functions and discusses the power of binomials, the exponential function, the logarithm, the hyperbolic function, and the inverse trigonometric function. This text then presents some basic results on vector operators and coordinate systems that are likely to be useful during the formulation of many problems. Other chapters consider inequalities that range from basic algebraic and functional inequalities to integral inequalities and fundamental oscillation and comparison theorems for ordinary differential equations. This book discusses as well the important part played by integral transforms. The final chapter deals with Fourier and Laplace transforms that provides so much information about other integrals. This book is a valuable resource for mathematicians, engineers, scientists, and research workers.

Elliptic Modular Functions

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Publisher : Springer Science & Business Media
ISBN 13 : 3642656633
Total Pages : 244 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Elliptic Modular Functions by : B. Schoeneberg

Download or read book Elliptic Modular Functions written by B. Schoeneberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a fully detailed introduction to the theory of modular functions of a single variable. I hope that it will fill gaps which in view ofthe lively development ofthis theory have often been an obstacle to the students' progress. The study of the book requires an elementary knowledge of algebra, number theory and topology and a deeper knowledge of the theory of functions. An extensive discussion of the modular group SL(2, Z) is followed by the introduction to the theory of automorphic functions and auto morphic forms of integral dimensions belonging to SL(2,Z). The theory is developed first via the Riemann mapping theorem and then again with the help of Eisenstein series. An investigation of the subgroups of SL(2, Z) and the introduction of automorphic functions and forms belonging to these groups folIows. Special attention is given to the subgroups of finite index in SL (2, Z) and, among these, to the so-called congruence groups. The decisive role in this setting is assumed by the Riemann-Roch theorem. Since its proof may be found in the literature, only the pertinent basic concepts are outlined. For the extension of the theory, special fields of modular functions in particular the transformation fields of order n-are studied. Eisen stein series of higher level are introduced which, in case of the dimension - 2, allow the construction of integrals of the 3 rd kind. The properties of these integrals are discussed at length.

Elliptic Integrals and Elliptic Functions

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Publisher : Springer Nature
ISBN 13 : 3031302656
Total Pages : 329 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Elliptic Integrals and Elliptic Functions by : Takashi Takebe

Download or read book Elliptic Integrals and Elliptic Functions written by Takashi Takebe and published by Springer Nature. This book was released on 2023-07-10 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive introduction to those parts of the theory of elliptic integrals and elliptic functions which provide illuminating examples in complex analysis, but which are not often covered in regular university courses. These examples form prototypes of major ideas in modern mathematics and were a driving force of the subject in the eighteenth and nineteenth centuries. In addition to giving an account of the main topics of the theory, the book also describes many applications, both in mathematics and in physics. For the reader’s convenience, all necessary preliminaries on basic notions such as Riemann surfaces are explained to a level sufficient to read the book. For each notion a clear motivation is given for its study, answering the question ‘Why do we consider such objects?’, and the theory is developed in a natural way that mirrors its historical development (e.g., ‘If there is such and such an object, then you would surely expect this one’). This feature sets this text apart from other books on the same theme, which are usually presented in a different order. Throughout, the concepts are augmented and clarified by numerous illustrations. Suitable for undergraduate and graduate students of mathematics, the book will also be of interest to researchers who are not familiar with elliptic functions and integrals, as well as math enthusiasts.

Handbook of Mathematical Functions

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Publisher : Courier Corporation
ISBN 13 : 9780486612720
Total Pages : 1068 pages
Book Rating : 4.6/5 (127 download)

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Book Synopsis Handbook of Mathematical Functions by : Milton Abramowitz

Download or read book Handbook of Mathematical Functions written by Milton Abramowitz and published by Courier Corporation. This book was released on 1965-01-01 with total page 1068 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extensive summary of mathematical functions that occur in physical and engineering problems

Lectures on the Theory of Elliptic Functions

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Publisher :
ISBN 13 :
Total Pages : 536 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Lectures on the Theory of Elliptic Functions by : Harris Hancock

Download or read book Lectures on the Theory of Elliptic Functions written by Harris Hancock and published by . This book was released on 1910 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: