Doctrine Of The Transcendent U

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Transcendence In Algebra Combinatorics Geometry And Number Theory

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Author : Alin Bostan
language : en
Publisher: Springer Nature
Release Date : 2021-11-02

Transcendence In Algebra Combinatorics Geometry And Number Theory written by Alin Bostan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-02 with Mathematics categories.

This proceedings volume gathers together original articles and survey works that originate from presentations given at the conference Transient Transcendence in Transylvania, held in Brașov, Romania, from May 13th to 17th, 2019. The conference gathered international experts from various fields of mathematics and computer science, with diverse interests and viewpoints on transcendence. The covered topics are related to algebraic and transcendental aspects of special functions and special numbers arising in algebra, combinatorics, geometry and number theory. Besides contributions on key topics from invited speakers, this volume also brings selected papers from attendees.

Contributions To The Theory Of Transcendental Numbers

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Author : Gregory Chudnovsky
language : en
Publisher: American Mathematical Soc.
Release Date : 1984

Contributions To The Theory Of Transcendental Numbers written by Gregory Chudnovsky and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.

Contains a collection of papers devoted primarily to transcendental number theory and diophantine approximations. This title includes a text of the author's invited address on his work on the theory of transcendental numbers to the 1978 International Congress of Mathematicians in Helsinki.

Diophantine Approximation And Transcendence Theory

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Author : Gisbert Wüstholz
language : en
Publisher: Springer
Release Date : 2006-11-15

Diophantine Approximation And Transcendence Theory written by Gisbert Wüstholz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

New Advances In Transcendence Theory

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Author : Alan Baker
language : en
Publisher: Cambridge University Press
Release Date : 1988-10-13

New Advances In Transcendence Theory written by Alan Baker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-10-13 with Mathematics categories.

This is an account of the proceedings of a very successful symposium of Transcendental Number Theory held in Durham in 1986. Most of the leading international specialists were present and the lectures reflected the great advances that have taken place in this area. The papers cover all the main branches of the subject, and include not only definitive research but valuable survey articles.

Lectures On The Theory Of Elliptic Functions

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Author : Harris Hancock
language : en
Publisher: Courier Corporation
Release Date : 2004-01-01

Lectures On The Theory Of Elliptic Functions written by Harris Hancock and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Mathematics categories.

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.

Introduction To Algebraic Independence Theory

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Author : Yuri V. Nesterenko
language : en
Publisher: Springer
Release Date : 2003-07-01

Introduction To Algebraic Independence Theory written by Yuri V. Nesterenko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Mathematics categories.

In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebraic independence of numbers pi and e^(pi) are most impressive results of this breakthrough. The book presents these and other results on algebraic independence of numbers and further, a detailed exposition of methods created in last the 25 years, during which commutative algebra and algebraic geometry exerted strong catalytic influence on the development of the subject.

Transcendental Number Theory

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Author : Alan Baker
language : en
Publisher: Cambridge University Press
Release Date : 2022-06-09

Transcendental Number Theory written by Alan Baker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-09 with Computers categories.

Alan Baker's systematic account of transcendental number theory, with a new introduction and afterword explaining recent developments.

Field Theory

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Author : Steven Roman
language : en
Publisher: Springer
Release Date : 2013-12-20

Field Theory written by Steven Roman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-20 with Mathematics categories.

Intended for graduate courses or for independent study, this book presents the basic theory of fields. The first part begins with a discussion of polynomials over a ring, the division algorithm, irreducibility, field extensions, and embeddings. The second part is devoted to Galois theory. The third part of the book treats the theory of binomials. The book concludes with a chapter on families of binomials - the Kummer theory.

Field And Galois Theory

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Author : Patrick Morandi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Field And Galois Theory written by Patrick Morandi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

In the fall of 1990, I taught Math 581 at New Mexico State University for the first time. This course on field theory is the first semester of the year-long graduate algebra course here at NMSU. In the back of my mind, I thought it would be nice someday to write a book on field theory, one of my favorite mathematical subjects, and I wrote a crude form of lecture notes that semester. Those notes sat undisturbed for three years until late in 1993 when I finally made the decision to turn the notes into a book. The notes were greatly expanded and rewritten, and they were in a form sufficient to be used as the text for Math 581 when I taught it again in the fall of 1994. Part of my desire to write a textbook was due to the nonstandard format of our graduate algebra sequence. The first semester of our sequence is field theory. Our graduate students generally pick up group and ring theory in a senior-level course prior to taking field theory. Since we start with field theory, we would have tojump into the middle of most graduate algebra textbooks. This can make reading the text difficult by not knowing what the author did before the field theory chapters. Therefore, a book devoted to field theory is desirable for us as a text. While there are a number of field theory books around, most of these were less complete than I wanted.

Auxiliary Polynomials In Number Theory

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Author : David Masser
language : en
Publisher: Cambridge University Press
Release Date : 2016-07-21

Auxiliary Polynomials In Number Theory written by David Masser and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-21 with Mathematics categories.

A unified account of a powerful classical method, illustrated by applications in number theory. Aimed at graduates and professionals.