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Author : Alfred Cardew Dixon
Publisher :
ISBN 13 :
Total Pages : 158 pages
Book Rating : 4.A/5 ( download)
Download or read book The Elementary Properties of the Elliptic Functions, with Examples written by Alfred Cardew Dixon and published by . This book was released on 1894 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andre Weil
Publisher : Springer Science & Business Media
ISBN 13 : 9783540650362
Total Pages : 112 pages
Book Rating : 4.6/5 (53 download)
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 (...).
Author : Alfred Cardew Dixon
Publisher :
ISBN 13 :
Total Pages : 151 pages
Book Rating : 4.L/5 ( download)
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:
Author : William A. Schwalm
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681742306
Total Pages : 67 pages
Book Rating : 4.6/5 (817 download)
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.
Author : Alfred Cardew Dixon
Publisher : Wentworth Press
ISBN 13 : 9781362060246
Total Pages : 162 pages
Book Rating : 4.0/5 (62 download)
Download or read book ELEM PROPERTIES OF THE ELLIPTI written by Alfred Cardew Dixon and published by Wentworth Press. This book was released on 2016-08-25 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. 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. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Komaravolu Chandrasekharan
Publisher : Springer Science & Business Media
ISBN 13 : 3642522440
Total Pages : 199 pages
Book Rating : 4.6/5 (425 download)
Download or read book Elliptic Functions written by Komaravolu Chandrasekharan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has grown out of a course of lectures on elliptic functions, given in German, at the Swiss Federal Institute of Technology, Zurich, during the summer semester of 1982. Its aim is to give some idea of the theory of elliptic functions, and of its close connexion with theta-functions and modular functions, and to show how it provides an analytic approach to the solution of some classical problems in the theory of numbers. It comprises eleven chapters. The first seven are function-theoretic, and the next four concern arithmetical applications. There are Notes at the end of every chapter, which contain references to the literature, comments on the text, and on the ramifications, old and new, of the problems dealt with, some of them extending into cognate fields. The treatment is self-contained, and makes no special demand on the reader's knowledge beyond the elements of complex analysis in one variable, and of group theory.
Author : B. Schoeneberg
Publisher : Springer Science & Business Media
ISBN 13 : 3642656633
Total Pages : 244 pages
Book Rating : 4.6/5 (426 download)
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.
Author : Alfred Cardew Dixon
Publisher :
ISBN 13 : 9781418179748
Total Pages : 142 pages
Book Rating : 4.1/5 (797 download)
Download or read book The Elementary Properties of the Elliptic Functions written by Alfred Cardew Dixon and published by . This book was released on 2005 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sir George Greenhill
Publisher :
ISBN 13 :
Total Pages : 386 pages
Book Rating : 4.F/5 ( download)
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:
Author : Viktor Vasil_evich Prasolov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821897805
Total Pages : 202 pages
Book Rating : 4.8/5 (978 download)
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.
Author : Jan Hendrik Bruinier
Publisher : Springer Science & Business Media
ISBN 13 : 3540741194
Total Pages : 273 pages
Book Rating : 4.5/5 (47 download)
Download or read book The 1-2-3 of Modular Forms written by Jan Hendrik Bruinier and published by Springer Science & Business Media. This book was released on 2008-02-10 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of three series of lectures given at the summer school on "Modular Forms and their Applications" at the Sophus Lie Conference Center in Nordfjordeid in June 2004. The first series treats the classical one-variable theory of elliptic modular forms. The second series presents the theory of Hilbert modular forms in two variables and Hilbert modular surfaces. The third series gives an introduction to Siegel modular forms and discusses a conjecture by Harder. It also contains Harder's original manuscript with the conjecture. Each part treats a number of beautiful applications.
Author : Alfred Cardew Dixon
Publisher : Scholar's Choice
ISBN 13 : 9781295999828
Total Pages : 156 pages
Book Rating : 4.9/5 (998 download)
Download or read book The Elementary Properties of the Elliptic Functions, with Examples - Scholar's Choice Edition written by Alfred Cardew Dixon and published by Scholar's Choice. This book was released on 2015-02-13 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. 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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Patrick Du Val
Publisher : Cambridge University Press
ISBN 13 : 0521200369
Total Pages : 257 pages
Book Rating : 4.5/5 (212 download)
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.
Author : Ma Alfred Cardew Dixon
Publisher : Sagwan Press
ISBN 13 : 9781376397116
Total Pages : 148 pages
Book Rating : 4.3/5 (971 download)
Download or read book The Elementary Properties of the Elliptic Functions written by Ma Alfred Cardew Dixon and published by Sagwan Press. This book was released on 2018-02 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. 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. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Henry John Stephen Smith
Publisher :
ISBN 13 :
Total Pages : 736 pages
Book Rating : 4.:/5 (334 download)
Download or read book The Collected Mathematical Papers of Henry John Stephen Smith ... written by Henry John Stephen Smith and published by . This book was released on 1894 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Booth
Publisher :
ISBN 13 :
Total Pages : 180 pages
Book Rating : 4.:/5 (1 download)
Download or read book The Theory of Elliptic Integrals, and the Properties of Surfaces of the Second Order, Applied to the Investigation of the Motion of a Body Round a Fixed Point by James Booth written by James Booth and published by . This book was released on 1851 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alfred Cardew Dixon
Publisher : Palala Press
ISBN 13 : 9781377598789
Total Pages : 158 pages
Book Rating : 4.5/5 (987 download)
Download or read book The Elementary Properties of the Elliptic Functions written by Alfred Cardew Dixon and published by Palala Press. This book was released on 2018-02-15 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. 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. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
