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Author : Harris Hancock
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (25 download)
Download or read book Lectures on the Theory of Elliptic Functions written by Harris Hancock and published by . This book was released on 1958 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harris Hancock
Publisher : Forgotten Books
ISBN 13 : 9781440079597
Total Pages : 530 pages
Book Rating : 4.0/5 (795 download)
Download or read book Lectures on the Theory of Elliptic Functions written by Harris Hancock and published by Forgotten Books. This book was released on 2015-06-24 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Lectures on the Theory of Elliptic Functions, Vol. 1 In the publication of these lectures, it is proposed to present the Theory of Elliptic Functions in three volumes, which are to include in general the following three phases of the subject: I. Analysis; II. Applications to Problems in Geometry and Mechanics; III. General Arithmetic and Higher Algebra. In Volume I an attempt is made to give the essential principles of the theory. The elliptic functions considered as the inverse of the elliptic integrals have their origin in the immortal works of Abel and Jacobi. I have wished to treat from a philosophic, as well as from a formal standpoint, the existence, and as far as possible, the ultimate meaning of the functions introduced by these mathematicians, to discuss the theories which originated with them, to follow their development, and to extend as far as possible the principles which they established. In this development great assistance has been rendered by the works of Hermite, who contributed so much not only to the theory of elliptic functions but also to almost every form of mathematical thought. The theory of Weierstrass is studied side by side with the older theory, and the beautiful formulas which we owe to him are contrasted with the corresponding formulas of the earlier writers. Riemann introduced certain surfaces upon which he represented algebraic integrals, and by thus expressing his conceptions of analytic functions he revealed a clearer insight into their meaning. Instead of generalizing either the theory of Jacobi or that of Weierstrass so as to embrace the whole subject, it is thought better to make these theories specializations of a more general theory. This general theory is treated by means of the Riemann surface, which at the same time shows the intimate relation between the two theories just mentioned. In Volume II a treatment of elliptic integrals is given. Here much attention is paid to the work of Legendre, whom we may rightly regard as the founder of the elliptic functions, for upon his investigations were established the theories of Abel and Jacobi, and indeed, in the very form given by Legendre. 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.
Author : Harris Hancock
Publisher :
ISBN 13 :
Total Pages : 530 pages
Book Rating : 4.:/5 (89 download)
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 530 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Adolphe Goutard
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (961 download)
Download or read book Lectures on the Theory of Elliptic Functions written by Adolphe Goutard and published by . This book was released on 1958 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harris Hancock
Publisher : Forgotten Books
ISBN 13 : 9780265157350
Total Pages : 530 pages
Book Rating : 4.1/5 (573 download)
Download or read book Lectures on the Theory of Elliptic Functions, Vol. 1 (Classic Reprint) written by Harris Hancock and published by Forgotten Books. This book was released on 2017-10-11 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Lectures on the Theory of Elliptic Functions, Vol. 1 IN the publication of these lectures, it is proposed to present the Theory of Elliptic F unctions in three volumes, which are to include in general the following three phases of the subject. 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.
Author : Harris Hancock
Publisher : Sagwan Press
ISBN 13 : 9781376479263
Total Pages : 566 pages
Book Rating : 4.4/5 (792 download)
Download or read book Lectures On the Theory of Elliptic Functions; Volume 1 written by Harris Hancock and published by Sagwan Press. This book was released on 2018-02-02 with total page 566 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 : Harris Hancock
Publisher : Theclassics.Us
ISBN 13 : 9781230731391
Total Pages : 84 pages
Book Rating : 4.7/5 (313 download)
Download or read book Lectures on the Theory of Elliptic Functions written by Harris Hancock and published by Theclassics.Us. This book was released on 2013-09 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1910 edition. Excerpt: ...Possibly the clearest and simplest method of treating this problem is in connection with the Riemann surface upon which the associated integrals may be represented. Before proceeding to the problem of inversion we shall therefore consider this surface in the next Chapter. EXAMPLE 1. If two doubly periodic functions f(z) and jz) have only two poles of the first order in the period-parallelogram and if each pole of the one function coincides with a pole of the other, then is m-cm + c where C and C are constants. CHAPTER VI THE RIEMANN SURFACE Article 108. At the close of the preceding Chapter we were left with the discussion of an integral which contained a radical. Such an expression is two-valued, and we must now consider more closely the meaning of such functions and their associated integrals. Take as simplest case the example 8= Vz-a= (z-a), where 2 is a complex variable and a an arbitrary constant. For the value z = o, we have s = 0; but for all other finite values of z there are two values of s that are equal and of opposite signs. The point a is called a branch-point of s. The point z = 00 is also a branch-point of this function; for-= = 0 for z = 00. Consequently--and likewise s has s V z-a s only one value for z = 00. There are other reasons why z = a and z = 00 are called branchpoints. Corresponding to the value z = zo, let s = s6 l)e a definite value of s. Along the curve (1) from z0 to z consider the values of s at all the points of the curve which differ from one another by infinitesimally small quantities, and similarly consider the values of s along the curve (2) until we again come to z. The value of s at this point will be the same whether we have gone over the first or second curve, provided the...
Author : Harris Hancock
Publisher :
ISBN 13 : 9781297325397
Total Pages : 526 pages
Book Rating : 4.3/5 (253 download)
Download or read book Lectures on the Theory of Elliptic Functions, Volume I - Scholar's Choice Edition written by Harris Hancock and published by . This book was released on 2015-02-19 with total page 526 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 : Harris Hancock
Publisher :
ISBN 13 : 9780486604831
Total Pages : pages
Book Rating : 4.6/5 (48 download)
Download or read book Lectures on the Theory of Elliptic Functions written by Harris Hancock and published by . This book was released on 1980-01-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harris Hancock
Publisher : Nabu Press
ISBN 13 : 9781295261772
Total Pages : 566 pages
Book Rating : 4.2/5 (617 download)
Download or read book Lectures on the Theory of Elliptic Functions, Volume 1 - Primary Source Edition written by Harris Hancock and published by Nabu Press. This book was released on 2013-11 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.
Author : Harris Hancock
Publisher : Legare Street Press
ISBN 13 : 9781016148832
Total Pages : 0 pages
Book Rating : 4.1/5 (488 download)
Download or read book Lectures on the Theory of Elliptic Functions; Volume I written by Harris Hancock and published by Legare Street Press. This book was released on 2022-10-27 with total page 0 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 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. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Dr Robert Fricke
Publisher : Legare Street Press
ISBN 13 : 9781019616581
Total Pages : 0 pages
Book Rating : 4.6/5 (165 download)
Download or read book Vorlesungen Uber Die Theorie For Elliptischen Modulfunctionen written by Dr Robert Fricke and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fricke's groundbreaking study of the theory of elliptic modular functions is a must-read for anyone interested in the foundations of modern mathematics. With clear explanations and insightful examples, Fricke offers a comprehensive overview of this complex and fascinating subject. 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. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : BiblioBazaar
Publisher : Palala Press
ISBN 13 : 9781355356486
Total Pages : 532 pages
Book Rating : 4.3/5 (564 download)
Download or read book Lectures on the Theory of Elliptic Functions written by BiblioBazaar and published by Palala Press. This book was released on 2016-05-04 with total page 532 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 : Harris Hancock
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (219 download)
Download or read book Lecture on the Theory of Elliptic Functions: Analysis written by Harris Hancock and published by . This book was released on 1958 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mario Gonzalez
Publisher : Routledge
ISBN 13 : 1351459376
Total Pages : 552 pages
Book Rating : 4.3/5 (514 download)
Download or read book Complex Analysis written by Mario Gonzalez and published by Routledge. This book was released on 2018-03-09 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: A selection of some important topics in complex analysis, intended as a sequel to the author's Classical complex analysis (see preceding entry). The five chapters are devoted to analytic continuation; conformal mappings, univalent functions, and nonconformal mappings; entire function; meromorphic fu
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 : Adrian Constantin
Publisher : Cambridge University Press
ISBN 13 : 1316670805
Total Pages : 368 pages
Book Rating : 4.3/5 (166 download)
Download or read book Fourier Analysis: Volume 1, Theory written by Adrian Constantin and published by Cambridge University Press. This book was released on 2016-05-31 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier analysis aims to decompose functions into a superposition of simple trigonometric functions, whose special features can be exploited to isolate specific components into manageable clusters before reassembling the pieces. This two-volume text presents a largely self-contained treatment, comprising not just the major theoretical aspects (Part I) but also exploring links to other areas of mathematics and applications to science and technology (Part II). Following the historical and conceptual genesis, this book (Part I) provides overviews of basic measure theory and functional analysis, with added insight into complex analysis and the theory of distributions. The material is intended for both beginning and advanced graduate students with a thorough knowledge of advanced calculus and linear algebra. Historical notes are provided and topics are illustrated at every stage by examples and exercises, with separate hints and solutions, thus making the exposition useful both as a course textbook and for individual study.
