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Author : Harris Hancock
Publisher :
ISBN 13 :
Total Pages : 572 pages
Book Rating : 4.A/5 ( 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 572 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : 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 : 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 :
Total Pages : pages
Book Rating : 4.:/5 (113 download)
Download or read book Lectures on the Theory of Elliptic Functions written by Harris Hancock and published by . This book was released on 1976 with total page 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 : 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 : 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 : Courier Corporation
ISBN 13 : 9780486438252
Total Pages : 544 pages
Book Rating : 4.4/5 (382 download)
Download or read book Lectures on the Theory of Elliptic Functions written by Harris Hancock and published by Courier Corporation. This book was released on 2004-01-01 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Prized for its extensive coverage of classical material, this text is also well regarded for its unusual fullness of treatment and its comprehensive discussion of both theory and applications. The author developes the theory of elliptic integrals, beginning with formulas establishing the existence, formation, and treatment of all three types, and concluding with the most general description of these integrals in terms of the Riemann surface. The theories of Legendre, Abel, Jacobi, and Weierstrass are developed individually and correlated with the universal laws of Riemann. The important contributory theorems of Hermite and Liouville are also fully developed. 1910 ed.
Author : Naum Ilʹich Akhiezer
Publisher : American Mathematical Soc.
ISBN 13 : 9780821809006
Total Pages : 237 pages
Book Rating : 4.8/5 (9 download)
Download or read book Elements of the Theory of Elliptic Functions written by Naum Ilʹich Akhiezer and published by American Mathematical Soc.. This book was released on 1990 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the theory of elliptic functions and its applications. Suitable primarily for engineers who work with elliptic functions, this work is also intended for those with background in the elements of mathematical analysis and the theory of functions contained in the first two years of mathematics and physics courses at the college level.
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 : Luigi Ambrosio
Publisher : Springer
ISBN 13 : 8876426515
Total Pages : 230 pages
Book Rating : 4.8/5 (764 download)
Download or read book Lectures on Elliptic Partial Differential Equations written by Luigi Ambrosio and published by Springer. This book was released on 2019-01-10 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book originates from the Elliptic PDE course given by the first author at the Scuola Normale Superiore in recent years. It covers the most classical aspects of the theory of Elliptic Partial Differential Equations and Calculus of Variations, including also more recent developments on partial regularity for systems and the theory of viscosity solutions.
Author : Felix Klein
Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Mathematical Theory of the Top written by Felix Klein and published by . This book was released on 1897 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Coates
Publisher : Springer
ISBN 13 : 3540481605
Total Pages : 269 pages
Book Rating : 4.5/5 (44 download)
Download or read book Arithmetic Theory of Elliptic Curves written by J. Coates and published by Springer. This book was released on 2006-11-14 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the expanded versions of the lectures given by the authors at the C.I.M.E. instructional conference held in Cetraro, Italy, from July 12 to 19, 1997. The papers collected here are broad surveys of the current research in the arithmetic of elliptic curves, and also contain several new results which cannot be found elsewhere in the literature. Owing to clarity and elegance of exposition, and to the background material explicitly included in the text or quoted in the references, the volume is well suited to research students as well as to senior mathematicians.
Author : Felix Klein
Publisher :
ISBN 13 : 9787040478723
Total Pages : 0 pages
Book Rating : 4.4/5 (787 download)
Download or read book Lectures on the Theory of Elliptic Modular Functions written by Felix Klein and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Felix Klein's Erlangen program made the theory of group actions into a central part of mathematics. In the spirit of this program, Klein set out to write a series of books which unified different subjects of mathematics. These books contain original ideas, striking examples, explicit computations, and details which are not available anywhere else.
Author : Spencer J. Bloch
Publisher : American Mathematical Soc.
ISBN 13 : 0821829734
Total Pages : 114 pages
Book Rating : 4.8/5 (218 download)
Download or read book Higher Regulators, Algebraic $K$-Theory, and Zeta Functions of Elliptic Curves written by Spencer J. Bloch and published by American Mathematical Soc.. This book was released on 2011 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the long-awaited publication of the famous Irvine lectures. Delivered in 1978 at the University of California at Irvine, these lectures turned out to be an entry point to several intimately-connected new branches of arithmetic algebraic geometry, such as regulators and special values of L-functions of algebraic varieties, explicit formulas for them in terms of polylogarithms, the theory of algebraic cycles, and eventually the general theory of mixed motives which unifies and underlies all of the above (and much more).
Author : John William Scott Cassels
Publisher : Cambridge University Press
ISBN 13 : 9780521425308
Total Pages : 148 pages
Book Rating : 4.4/5 (253 download)
Download or read book LMSST: 24 Lectures on Elliptic Curves written by John William Scott Cassels and published by Cambridge University Press. This book was released on 1991-11-21 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introductory text for beginning graduate students that is contemporary in approach without ignoring historical matters.
