Transcendence Theory Advances And Applications
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| Author | : Alan Baker |
| Publisher | : Cambridge University Press |
| Total Pages | : 456 |
| Release | : 1988-10-13 |
| Genre | : Mathematics |
| ISBN | : 9780521335454 |
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.
| Author | : Alan Baker |
| Publisher | : Cambridge University Press |
| Total Pages | : 180 |
| Release | : 1990-09-28 |
| Genre | : Mathematics |
| ISBN | : 9780521397919 |
First published in 1975, this classic book gives a systematic account of transcendental number theory, that is those numbers which cannot be expressed as the roots of algebraic equations having rational coefficients. Their study has developed into a fertile and extensive theory enriching many branches of pure mathematics. Expositions are presented of theories relating to linear forms in the logarithms of algebraic numbers, of Schmidt's generalisation of the Thue-Siegel-Roth theorem, of Shidlovsky's work on Siegel's |E|-functions and of Sprindzuk's solution to the Mahler conjecture. The volume was revised in 1979: however Professor Baker has taken this further opportunity to update the book including new advances in the theory and many new references.
| Author | : Minaketan Behara |
| Publisher | : Walter de Gruyter |
| Total Pages | : 768 |
| Release | : 2011-06-15 |
| Genre | : Mathematics |
| ISBN | : 3110886723 |
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
| Author | : Gregory Chudnovsky |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 464 |
| Release | : 1984 |
| Genre | : Mathematics |
| ISBN | : 0821815008 |
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.
| Author | : Michel Waldschmidt |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 649 |
| Release | : 2013-03-14 |
| Genre | : Mathematics |
| ISBN | : 3662115697 |
The theory of transcendental numbers is closely related to the study of diophantine approximation. This book deals with values of the usual exponential function ez: a central open problem is the conjecture on algebraic independence of logarithms of algebraic numbers. Two chapters provide complete and simplified proofs of zero estimates (due to Philippon) on linear algebraic groups.
| Author | : Daniel Iagolnitzer |
| Publisher | : World Scientific |
| Total Pages | : 824 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 9812382593 |
Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to the field of mathematics and an age limit of 40 has become an accepted tradition. This volume presents contributions from Fields Medallists.
| Author | : Michael Francis Atiyah |
| Publisher | : World Scientific |
| Total Pages | : 652 |
| Release | : 1997 |
| Genre | : Mathematics |
| ISBN | : 9789810231170 |
Although not as publicly well-known as the Nobel Prizes, the Fields Medal shares the same intellectual standing and is the equivalent award in the field of mathematics. This volume presents a selected list of 22 Fields Medallists and their contributions to give a highly interesting and varied bird's eye view of mathematics over the past 60 years. The contributions relate directly to the work for which the Medals were awarded or to the medallists' more current interests. In most cases, they are preceded by the introductory speech given by another leading mathematician during the prize ceremony, a photograph and up-to-date biographical notice.
| Author | : Michael Atiyah |
| Publisher | : World Scientific |
| Total Pages | : 824 |
| Release | : 2003-11-03 |
| Genre | : Mathematics |
| ISBN | : 9814486809 |
Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field — that of mathematics — and an age limit of 40 has become an accepted tradition. Mathematics has in the main been interpreted as pure mathematics, and this is not so unreasonable since major contributions in some applied areas can be (and have been) recognized with Nobel Prizes.A list of Fields Medallists and their contributions provides a bird's-eye view of mathematics over the past 60 years. It highlights the areas in which, at various times, greatest progress has been made. This volume does not pretend to be comprehensive, nor is it a historical document. On the other hand, it presents contributions from Fields Medallists and so provides a highly interesting and varied picture.The second edition of Fields Medallists' Lectures features additional contributions from the following Medallists: Kunihiko Kodaira (1954), Richard E Borcherds (1998), William T Gowers (1998), Maxim Kontsevich (1998), Curtis T McMullen (1998) and Vladimir Voevodsky (2002).
| Author | : Krishnaswami Alladi |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 193 |
| Release | : 2009-03-02 |
| Genre | : Mathematics |
| ISBN | : 0387785108 |
Number theory has a wealth of long-standing problems, the study of which over the years has led to major developments in many areas of mathematics. This volume consists of seven significant chapters on number theory and related topics. Written by distinguished mathematicians, key topics focus on multipartitions, congruences and identities (G. Andrews), the formulas of Koshliakov and Guinand in Ramanujan's Lost Notebook (B. C. Berndt, Y. Lee, and J. Sohn), alternating sign matrices and the Weyl character formulas (D. M. Bressoud), theta functions in complex analysis (H. M. Farkas), representation functions in additive number theory (M. B. Nathanson), and mock theta functions, ranks, and Maass forms (K. Ono), and elliptic functions (M. Waldschmidt).
| Author | : Graham Everest |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 338 |
| Release | : 2015-09-03 |
| Genre | : Mathematics |
| ISBN | : 1470423154 |
Recurrence sequences are of great intrinsic interest and have been a central part of number theory for many years. Moreover, these sequences appear almost everywhere in mathematics and computer science. This book surveys the modern theory of linear recurrence sequences and their generalizations. Particular emphasis is placed on the dramatic impact that sophisticated methods from Diophantine analysis and transcendence theory have had on the subject. Related work on bilinear recurrences and an emerging connection between recurrences and graph theory are covered. Applications and links to other areas of mathematics are described, including combinatorics, dynamical systems and cryptography, and computer science. The book is suitable for researchers interested in number theory, combinatorics, and graph theory.
