Download or read book An Elementary Treatise on Elliptic Functions written by Arthur Cayley (Mathematician.) and published by . This book was released on 1876 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Elementary Treatise on Elliptic Functions written by Arthur Cayley and published by . This book was released on 1876 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Elementary Treatise on Elliptic Functions written by Arthur Cayley and published by BoD – Books on Demand. This book was released on 2024-06-23 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1876.
Download or read book An Elementary Treatise on Elliptic Functions by Arthur Cayley written by Arthur Cayley and published by . This book was released on 1876 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book ELEMENTARY TREATISE ON ELLIPTIC FUNCTIONS written by ARTHUR. CAYLEY and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Elementary Treatise on Elliptic Functions written by Anonymous and published by . This book was released on 2015-08-11 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Elementary Treatise of Elliptic Functions written by Arthur Cayley and published by . This book was released on 1977 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Elementary Treatise on Elliptic Functions written by Arthur Cayley and published by . This book was released on 1895 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Elementary Treatise on Elliptic Functions written by and published by . This book was released on 1876 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Elementary Treatise on Elliptic Functions Classic Reprint written by Arthur Cayley and published by Forgotten Books. This book was released on 2017-11-25 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from An Elementary Treatise on Elliptic Functions Equations satisfied by the numerators and denominator in the theories of the multiplication and transformation of the. About the Publisher 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.
Download or read book Elliptic Functions written by Arthur Latham Baker and published by . This book was released on 1890 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Elementary Treatise on Fourier s Series and Spherical Cylindrical and Ellipsoidal Harmonics written by William Elwood Byerly and published by . This book was released on 1893 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Elementary Properties of the Elliptic Functions written by Alfred Cardew Dixon and published by . This book was released on 1894 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elliptic Functions written by Arthur Baker and published by . This book was released on 2013-07-30 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first step taken in the theory of Elliptic Functions was the determination of a relation between the amplitudes of three functions of either order, such that there should exist an algebraic relation between the three functions themselves of which these were the amplitudes. It is one of the most remarkable discoveries which science owes to Euler. In 1761 he gave to the world the complete integration of an equation of two terms, each an elliptic function of the first or second order, not separately integrable.This integration introduced an arbitrary constant in the form of a third function, related to the first two by a given equation between the amplitudes of the three.In 1775 Landen, an English mathematician published his celebrated theorem showing that any arc of a hyperbola may be measured by two arcs of an ellipse, an important element of the theory of Elliptic Functions, but then an isolated result. The great problem of comparison of Elliptic Functions of different moduli remained unsolved, though Euler, in a measure, exhausted the comparison of functions of the same modulus.It was completed in 1784 by Lagrange, and for the computation of numerical results leaves little to be desired. The value of a function may be determined by it, in terms of increasing or diminishing moduli, until at length it depends upon a function having a modulus of zero, or unity.For all practical purposes this was sufficient. The enormous task of calculating tables was undertaken by Legendre. His labors did not end here, however. There is none of the discoveries of his predecessors which have not received some perfection at his hands; and it was he who first supplied to the whole that connection and arrangement which have made it an independent science.The theory of Elliptic Integrals remained at a standstill from 1786, the year when Legendre took it up, until the year 1827, when the second volume of his Trait´e des Fonctions Elliptiques appeared. Scarcely so, however, when there appeared the researches of Jacobi, a Professor of Mathematics in K¨onigsberg, in the 123d number of the Journal of Schumacher, and those of Abel, Professor of Mathematics at Christiania, in the 3d number of Crelle's Journal for 1827.These publications put the theory of Elliptic Functions upon an entirely new basis. The researches of Jacobi have for their principal object the development of that general relation of functions of the first order having different moduli, of which the scales of Lagrange and Legendre are particular cases.It was to Abel that the idea first occurred of treating the Elliptic Integral as a function of its amplitude. Proceeding from this new point of view, he embraced in his speculations all the principal results of Jacobi. Having undertaken to develop the principle upon which rests the fundamental proposition of Euler establishing an algebraic relation between three functions which have the same moduli, dependent upon a certain relation of their amplitudes, he has extended it from three to an indefinite number of functions; and from Elliptic Functions to an infinite number of other functions embraced under an indefinite number of classes, of which that of Elliptic Functions is but one; and each class having a division analogous to that of Elliptic Functions into three orders having common properties.The discovery of Abel is of infinite moment as presenting the first step of approach towards a more complete theory of the infinite class of ultra-elliptic functions, destined probably ere long to constitute one of the most important of the branches of transcendental analysis, and to include among the integrals of which it effects the solution some of those which at present arrest the researches of the philosopher in the very elements of physics.
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 (...).
Download or read book Elliptic Functions written by Arthur L. Baker and published by . This book was released on 2016-06-26 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Elliptic Functions: An Elementary Text-Book for Students of Mathematics I have endeavored throughout to use only such methods as are familiar to the ordinary student of Calculus, avoiding those methods of discussion dependent upon the properties of double periodicity, and also those depending upon Functions of Com plex Variables. For the same reason I have not carried the discussion of the 9 and H functions further. About the Publisher 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.
Download or read book Development of Elliptic Functions According to Ramanujan written by K. Venkatachaliengar and published by World Scientific. This book was released on 2012 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book provides an innovative and efficient approach to elliptic functions, based on the ideas of the great Indian mathematician Srinivasa Ramanujan. The original 1988 monograph of K Venkatachaliengar has been completely revised. Many details, omitted from the original version, have been included, and the book has been made comprehensive by notes at the end of each chapter. The book is for graduate students and researchers in Number Theory and Classical Analysis, as well for scholars and aficionados of Ramanujan's work. It can be read by anyone with some undergraduate knowledge of real and complex analysis.
