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.

A Table of the Complete Elliptic Integral of the First Kind for Complex Values of the Modulus

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Publisher :
ISBN 13 :
Total Pages : 330 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis A Table of the Complete Elliptic Integral of the First Kind for Complex Values of the Modulus by : Henry E. Fettis

Download or read book A Table of the Complete Elliptic Integral of the First Kind for Complex Values of the Modulus written by Henry E. Fettis and published by . This book was released on 1969 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Handbook of Formulas and Tables

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Publisher : McGraw Hill Professional
ISBN 13 : 9780070382039
Total Pages : 294 pages
Book Rating : 4.3/5 (82 download)

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Book Synopsis Mathematical Handbook of Formulas and Tables by : John Liu

Download or read book Mathematical Handbook of Formulas and Tables written by John Liu and published by McGraw Hill Professional. This book was released on 1999 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students and research workers in mathematics, physics, engineering and other sciences will find this compilation of more than 2000 mathematical formulas and tables [include exact number?] invaluable. They will see quickly why half a million copies were sold of the first edition! All the information included is practical -- rarely used results are excluded. Topics range from elementary to advanced-from algebra, trigonometry and calculus to vector analysis, Bessel functions, Legendre polynomials and elliptic integrals. Great care has been taken to present all results concisely and clearly. Excellent to keep as a handy reference! Students and research workers in mathematics, physics, engineering, and other sciences will find this compilation of more than 2,000 mathematical formulas and tables invaluable. Half a million copies were sold of the first edition! Excluding rarely used results, topics range from elementary to advanced, from algebra, trigonometry, and calculus to vector analysis, Bessel, and Legendre functions and elliptical functions.

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.

Formulas and Theorems for the Special Functions of Mathematical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 3662117614
Total Pages : 516 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Formulas and Theorems for the Special Functions of Mathematical Physics by : Wilhelm Magnus

Download or read book Formulas and Theorems for the Special Functions of Mathematical Physics written by Wilhelm Magnus and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a new and enlarged English edition of the book which, under the title "Formeln und Satze fur die Speziellen Funktionen der mathe matischen Physik" appeared in German in 1946. Much of the material (part of it unpublished) did not appear in the earlier editions. We hope that these additions will be useful and yet not too numerous for the purpose of locating .with ease any particular result. Compared to the first two (German) editions a change has taken place as far as the list of references is concerned. They are generally restricted to books and monographs and accomodated at the end of each individual chapter. Occasional references to papers follow those results to which they apply. The authors felt a certain justification for this change. At the time of the appearance of the previous edition nearly twenty years ago much of the material was scattered over a number of single contributions. Since then most of it has been included in books and monographs with quite exhaustive bibliographies. For information about numerical tables the reader is referred to "Mathematics of Computation", a periodical publis hed by the American Mathematical Society; "Handbook of Mathe matical Functions" with formulas, graphs and mathematical tables National Bureau of Standards Applied Mathematics Series, 55, 1964, 1046 pp., Government Printing Office, Washington, D.C., and FLETCHER, MILLER, ROSENHEAD, Index of Mathematical Tables, Addison-Wesley, Reading, Mass.) .. There is a list of symbols and abbreviations at the end of the book.

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.

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.

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

Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory

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Publisher : Springer
ISBN 13 : 3030044807
Total Pages : 511 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory by : Johannes Blümlein

Download or read book Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory written by Johannes Blümlein and published by Springer. This book was released on 2019-01-30 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes review articles in the field of elliptic integrals, elliptic functions and modular forms intending to foster the discussion between theoretical physicists working on higher loop calculations and mathematicians working in the field of modular forms and functions and analytic solutions of higher order differential and difference equations.

Tables of Laplace Transforms

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Publisher : Springer Science & Business Media
ISBN 13 : 3642656455
Total Pages : 438 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Tables of Laplace Transforms by : F. Oberhettinger

Download or read book Tables of Laplace Transforms written by F. Oberhettinger and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This material represents a collection of integrals of the Laplace- and inverse Laplace Transform type. The usef- ness of this kind of information as a tool in various branches of Mathematics is firmly established. Previous publications include the contributions by A. Erdelyi and Roberts and Kaufmann (see References). Special consideration is given to results involving higher functions as integrand and it is believed that a substantial amount of them is presented here for the first time. Greek letters denote complex parameters within the given range of validity. Latin letters denote (unless otherwise stated) real positive parameters and a possible extension to complex values by analytic continuation will often pose no serious problem. The authors are indebted to Mrs. Jolan Eross for her tireless effort and patience while typing this manu script. Oregon State University Corvallis, Oregon Eastern Michigan University Ypsilanti, Michigan The Authors Contents Part I. Laplace Transforms In troduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 1 General Formulas. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1. 2 Algebraic Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1. 3 Powers of Arbitrary Order. . . . . . . . . . . . . . . . . . . . . . . . 21 1. 4 Sectionally Rational- and Rows of Delta Functions 28 1. 5 Exponential Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 1. 6 Logarithmic Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 1. 7 Trigonometric Functions. . . . . . . . . . . . . . . . . . . . . . . . . . 54 1. 8 Inverse Trigonometric Functions. . . . . . . . . . . . . . . . . . 81 1. 9 Hyperbolic Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 1. 10 Inverse Hyperbolic Functions. . . . . . . . . . . . . . . . . . . . . 99 1. 11 Orthogonal Polynomials . . . . . . . •. . . . . . . . . . . . . . . . . . . 103 1. 12 Legendre Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113 1. 13 Bessel Functions of Order Zero and Unity . . . . . . . . . 119 1. 14 Bessel Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 1. 15 Modified Bessel Functions . . . . . . . . . . . . . . . . . . . . . . . .

Elliptic Integrals

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Publisher :
ISBN 13 :
Total Pages : 118 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Elliptic Integrals by : Harris Hancock

Download or read book Elliptic Integrals written by Harris Hancock and published by . This book was released on 1917 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tables of Integrals and Other Mathematical Data

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Publisher :
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis Tables of Integrals and Other Mathematical Data by : Herbert Bristol Dwight

Download or read book Tables of Integrals and Other Mathematical Data written by Herbert Bristol Dwight and published by . This book was released on 1971 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 (...).

Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables

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Publisher :
ISBN 13 :
Total Pages : 1072 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables by : Milton Abramowitz

Download or read book Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables written by Milton Abramowitz and published by . This book was released on 1964 with total page 1072 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Jacobian Elliptic Function Tables

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Publisher :
ISBN 13 :
Total Pages : 158 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Jacobian Elliptic Function Tables by : Louis Melville Milne-Thomson

Download or read book Jacobian Elliptic Function Tables written by Louis Melville Milne-Thomson and published by . This book was released on 1950 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Inductance Calculations

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Publisher : Courier Corporation
ISBN 13 : 0486318354
Total Pages : 316 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Inductance Calculations by : Frederick W Grover

Download or read book Inductance Calculations written by Frederick W Grover and published by Courier Corporation. This book was released on 2013-07-24 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative reference enables the design of virtually every type of inductor. It features a single simple formula for each type of inductor, together with tables containing essential numerical factors. 1946 edition.