Fundamenta nova theoriae functionum ellipticarum

Fundamenta nova theoriae functionum ellipticarum PDF Author: Carl Gustav Jakob Jacobi
Publisher:
ISBN:
Category : Elliptic functions
Languages : la
Pages : 216

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Fundamenta nova theoriae functionum ellipticarum

Fundamenta nova theoriae functionum ellipticarum PDF Author: Carl Gustav Jakob Jacobi
Publisher:
ISBN:
Category : Elliptic functions
Languages : la
Pages : 216

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Fundamenta Nova Theoriae Functionum Ellipticarum

Fundamenta Nova Theoriae Functionum Ellipticarum PDF Author: Carl Gustav Jakob Jacobi
Publisher: Legare Street Press
ISBN: 9781016061384
Category :
Languages : en
Pages : 0

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Book Description
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.

An Introduction to the Theory of Elliptic Functions and Higher Transcendentals

An Introduction to the Theory of Elliptic Functions and Higher Transcendentals PDF Author: Ganesh Prasad
Publisher:
ISBN:
Category : Elliptic functions
Languages : en
Pages : 122

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Elliptic and Modular Functions from Gauss to Dedekind to Hecke

Elliptic and Modular Functions from Gauss to Dedekind to Hecke PDF Author: Ranjan Roy
Publisher: Cambridge University Press
ISBN: 1107159385
Category : Mathematics
Languages : en
Pages : 491

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Book Description
A thorough guide to elliptic functions and modular forms that demonstrates the relevance and usefulness of historical sources.

Classical Topics in Complex Function Theory

Classical Topics in Complex Function Theory PDF Author: Reinhold Remmert
Publisher: Springer Science & Business Media
ISBN: 1475729561
Category : Mathematics
Languages : en
Pages : 362

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Book Description
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

Chapter 16 of Ramanujan's Second Notebook: Theta-Functions and $q$-Series

Chapter 16 of Ramanujan's Second Notebook: Theta-Functions and $q$-Series PDF Author: Chandrashekar Adiga
Publisher: American Mathematical Soc.
ISBN: 0821823167
Category : Mathematics
Languages : en
Pages : 99

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Book Description
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.

Convolutions in French Mathematics, 1800–1840

Convolutions in French Mathematics, 1800–1840 PDF Author: Ivor Grattan-Guinness
Publisher: Springer Science & Business Media
ISBN: 9783764322397
Category : Mathematics
Languages : en
Pages : 310

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Introduction to Nonlinear Differential and Integral Equations

Introduction to Nonlinear Differential and Integral Equations PDF Author: Harold Thayer Davis
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 590

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Transcending Tradition: Jewish Mathematicians in German Speaking Academic Culture

Transcending Tradition: Jewish Mathematicians in German Speaking Academic Culture PDF Author: Birgit Bergmann
Publisher: Springer Science & Business Media
ISBN: 3642224644
Category : Mathematics
Languages : en
Pages : 297

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Book Description
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.

Vector Partitions, Visible Points and Ramanujan Functions

Vector Partitions, Visible Points and Ramanujan Functions PDF Author: Geoffrey B. Campbell
Publisher: CRC Press
ISBN: 1040026443
Category : Mathematics
Languages : en
Pages : 567

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Book Description
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.