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Author : Carl Gustav Jakob Jacobi
Publisher :
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.:/5 (9 download)
Download or read book Fundamenta nova theoriae functionum ellipticarum written by Carl Gustav Jakob Jacobi and published by . This book was released on 1829 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Carl Gustav Jakob Jacobi
Publisher : Legare Street Press
ISBN 13 : 9781016061384
Total Pages : 0 pages
Book Rating : 4.0/5 (613 download)
Download or read book Fundamenta Nova Theoriae Functionum Ellipticarum written by Carl Gustav Jakob Jacobi 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 : Carl Gustav Jacob Jacobi
Publisher : Nabu Press
ISBN 13 : 9781295287901
Total Pages : 218 pages
Book Rating : 4.2/5 (879 download)
Download or read book Fundamenta Nova Theoriae Functionum Ellipticarum - Primary Source Edition written by Carl Gustav Jacob Jacobi and published by Nabu Press. This book was released on 2013-11 with total page 218 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 : Carl Gustav Jakob Jacobi
Publisher :
ISBN 13 :
Total Pages : 191 pages
Book Rating : 4.:/5 (521 download)
Download or read book Fundamenta nova theoriae functionum ellipticarum written by Carl Gustav Jakob Jacobi and published by . This book was released on 1829 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : CARL GUSTAV JACOB. JACOBI
Publisher :
ISBN 13 : 9781390178555
Total Pages : 0 pages
Book Rating : 4.1/5 (785 download)
Download or read book FUNDAMENTA NOVA THEORIAE FUNCTIONUM ELLIPTICARUM (CLASSIC REPRINT). written by CARL GUSTAV JACOB. JACOBI and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Carl Gustav Jacob Jacobi (Mathématicien, Allemagne)
Publisher :
ISBN 13 :
Total Pages : 191 pages
Book Rating : 4.:/5 (632 download)
Download or read book Fundamenta nova theoriae functionum ellipticarum written by Carl Gustav Jacob Jacobi (Mathématicien, Allemagne) and published by . This book was released on 1829 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ganesh Prasad
Publisher :
ISBN 13 :
Total Pages : 122 pages
Book Rating : 4.3/5 (91 download)
Download or read book An Introduction to the Theory of Elliptic Functions and Higher Transcendentals written by Ganesh Prasad and published by . This book was released on 1928 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shaun Cooper
Publisher : Springer
ISBN 13 : 3319561723
Total Pages : 696 pages
Book Rating : 4.3/5 (195 download)
Download or read book Ramanujan's Theta Functions written by Shaun Cooper and published by Springer. This book was released on 2017-06-12 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theta functions were studied extensively by Ramanujan. This book provides a systematic development of Ramanujan’s results and extends them to a general theory. The author’s treatment of the subject is comprehensive, providing a detailed study of theta functions and modular forms for levels up to 12. Aimed at advanced undergraduates, graduate students, and researchers, the organization, user-friendly presentation, and rich source of examples, lends this book to serve as a useful reference, a pedagogical tool, and a stimulus for further research. Topics, especially those discussed in the second half of the book, have been the subject of much recent research; many of which are appearing in book form for the first time. Further results are summarized in the numerous exercises at the end of each chapter.
Author : Ranjan Roy
Publisher : Cambridge University Press
ISBN 13 : 1107159385
Total Pages : 491 pages
Book Rating : 4.1/5 (71 download)
Download or read book Elliptic and Modular Functions from Gauss to Dedekind to Hecke written by Ranjan Roy and published by Cambridge University Press. This book was released on 2017-04-18 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough guide to elliptic functions and modular forms that demonstrates the relevance and usefulness of historical sources.
Author : Reinhold Remmert
Publisher : Springer Science & Business Media
ISBN 13 : 1475729561
Total Pages : 362 pages
Book Rating : 4.4/5 (757 download)
Download or read book Classical Topics in Complex Function Theory written by Reinhold Remmert and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: An ideal text for an advanced course in the theory of complex functions, this book leads readers to experience function theory personally and to participate in the work of the creative mathematician. The author includes numerous glimpses of the function theory of several complex variables, which illustrate how autonomous this discipline has become. In addition to standard topics, readers will find Eisenstein's proof of Euler's product formula for the sine function; Wielandts uniqueness theorem for the gamma function; Stirlings formula; Isssas theorem; Besses proof that all domains in C are domains of holomorphy; Wedderburns lemma and the ideal theory of rings of holomorphic functions; Estermanns proofs of the overconvergence theorem and Blochs theorem; a holomorphic imbedding of the unit disc in C3; and Gausss expert opinion on Riemanns dissertation. Remmert elegantly presents the material in short clear sections, with compact proofs and historical comments interwoven throughout the text. The abundance of examples, exercises, and historical remarks, as well as the extensive bibliography, combine to make an invaluable source for students and teachers alike
Author : Chandrashekar Adiga
Publisher : American Mathematical Soc.
ISBN 13 : 0821823167
Total Pages : 99 pages
Book Rating : 4.8/5 (218 download)
Download or read book Chapter 16 of Ramanujan's Second Notebook: Theta-Functions and $q$-Series written by Chandrashekar Adiga and published by American Mathematical Soc.. This book was released on 1985 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of Chapter 16 in Ramanujan's second notebook is devoted to q-series. Several of the results obtained by Ramanujan are classical, but many are new. In particular, certain elegant q-continued fraction expansions have not appeared heretofore in print. In the remainder of this chapter, Ramanujan develops the theory of the classical theta-functions in a manner different from his nineteenth century predecessors such as Jacobi. Although many of Ramanujan's discoveries about theta-functions are well-known, several new results are also to be found.
Author : Ivor Grattan-Guinness
Publisher : Springer Science & Business Media
ISBN 13 : 9783764322397
Total Pages : 310 pages
Book Rating : 4.3/5 (223 download)
Download or read book Convolutions in French Mathematics, 1800–1840 written by Ivor Grattan-Guinness and published by Springer Science & Business Media. This book was released on 1990-07-01 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Heng Huat Chan
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110541912
Total Pages : 138 pages
Book Rating : 4.1/5 (15 download)
Download or read book Theta functions, elliptic functions and π written by Heng Huat Chan and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-07-06 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents several results on elliptic functions and Pi, using Jacobi’s triple product identity as a tool to show suprising connections between different topics within number theory such as theta functions, Eisenstein series, the Dedekind delta function, and Ramanujan’s work on Pi. The included exercises make it ideal for both classroom use and self-study.
Author : Harold Thayer Davis
Publisher :
ISBN 13 :
Total Pages : 590 pages
Book Rating : 4.:/5 (319 download)
Download or read book Introduction to Nonlinear Differential and Integral Equations written by Harold Thayer Davis and published by . This book was released on 1960 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Birgit Bergmann
Publisher : Springer Science & Business Media
ISBN 13 : 3642224644
Total Pages : 297 pages
Book Rating : 4.6/5 (422 download)
Download or read book Transcending Tradition: Jewish Mathematicians in German Speaking Academic Culture written by Birgit Bergmann and published by Springer Science & Business Media. This book was released on 2012-10-22 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: A companion publication to the international exhibition "Transcending Tradition: Jewish Mathematicians in German-Speaking Academic Culture", the catalogue explores the working lives and activities of Jewish mathematicians in German-speaking countries during the period between the legal and political emancipation of the Jews in the 19th century and their persecution in Nazi Germany. It highlights the important role Jewish mathematicians played in all areas of mathematical culture during the Wilhelmine Empire and the Weimar Republic, and recalls their emigration, flight or death after 1933.
Author : Geoffrey B. Campbell
Publisher : CRC Press
ISBN 13 : 1040026443
Total Pages : 567 pages
Book Rating : 4.0/5 (4 download)
Download or read book Vector Partitions, Visible Points and Ramanujan Functions written by Geoffrey B. Campbell and published by CRC Press. This book was released on 2024-05-29 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vector Partitions, Visible Points and Ramanujan Functions offers a novel theory of Vector Partitions, though very much grounded in the long-established work of others, that could be developed as an extension to the existing theory of Integer Partitions. The book is suitable for graduate students in physics, applied mathematics, number theory and computational mathematics. It takes the reader up to research level, presenting new results alongside known classical results from integer partitions and areas of vector and multipartite partition theory. It also sets forth new directions for research for the more advanced reader. Above all, the intention of the book is to bring new inspiration to others who study mathematics and related areas. It is hoped that some new ideas will be launched to add value and insight into many of the classical and new theories surrounding partitions. The book is an appreciation of the many gifted authors of research into partitions over the past century and before, in the hope that more may come of this for future generations. Features Provides a step-by-step guide through the known literature on Integer and Vector Partitions, and a focus on the not so well-known Visible Point Vector identities Serves as a reference for graduate students and researchers in physics, applied mathematics, number theory and computational mathematics Offers a variety of practical examples as well as sets of exercises suitable for students and researchers Geoffrey B. Campbell completed his PhD at Australian National University in 1998 under the esteemed physicist Professor Rodney Baxter. His affiliation with the Australian National University Mathematical Sciences Institute has continued for over 30 years. Within that time frame, Geoffrey also served eight years as an Honorary Research Fellow at LaTrobe University Mathematics and Statistics Department in Melbourne. Currently he writes ongoing articles for the Australian Mathematical Society Gazette. Within the international scope, Geoffrey currently serves as a PhD external committee member for a mathematics graduate student at Washington State University in America. Geoffrey has built a career within Australian Commonwealth and State government departments, including as an Advisor at the Department of Prime Minister and Cabinet; as Analyst Researcher for a Royal Commission. Geoffrey specializes in complex data, machine learning including data analytics. He is also a published poet in Australian anthologies and literary magazines.
Author : Michel Waldschmidt
Publisher : Springer Science & Business Media
ISBN 13 : 3662028387
Total Pages : 702 pages
Book Rating : 4.6/5 (62 download)
Download or read book From Number Theory to Physics written by Michel Waldschmidt and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book contains fourteen expository contributions on various topics connected to Number Theory, or Arithmetics, and its relationships to Theoreti cal Physics. The first part is mathematically oriented; it deals mostly with ellip tic curves, modular forms, zeta functions, Galois theory, Riemann surfaces, and p-adic analysis. The second part reports on matters with more direct physical interest, such as periodic and quasiperiodic lattices, or classical and quantum dynamical systems. The contribution of each author represents a short self-contained course on a specific subject. With very few prerequisites, the reader is offered a didactic exposition, which follows the author's original viewpoints, and often incorpo rates the most recent developments. As we shall explain below, there are strong relationships between the different chapters, even though every single contri bution can be read independently of the others. This volume originates in a meeting entitled Number Theory and Physics, which took place at the Centre de Physique, Les Houches (Haute-Savoie, France), on March 7 - 16, 1989. The aim of this interdisciplinary meeting was to gather physicists and mathematicians, and to give to members of both com munities the opportunity of exchanging ideas, and to benefit from each other's specific knowledge, in the area of Number Theory, and of its applications to the physical sciences. Physicists have been given, mostly through the program of lectures, an exposition of some of the basic methods and results of Num ber Theory which are the most actively used in their branch.
