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Some Exponential Diophantine Equations


Some Exponential Diophantine Equations
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Exponential Diophantine Equations


Exponential Diophantine Equations
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Author : T. N. Shorey
language : en
Publisher: Cambridge University Press
Release Date : 1986-11-27

Exponential Diophantine Equations written by T. N. Shorey 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 1986-11-27 with Mathematics categories.


This is a integrated presentation of the theory of exponential diophantine equations. The authors present, in a clear and unified fashion, applications to exponential diophantine equations and linear recurrence sequences of the Gelfond-Baker theory of linear forms in logarithms of algebraic numbers. Topics covered include the Thue equations, the generalised hyperelliptic equation, and the Fermat and Catalan equations. The necessary preliminaries are given in the first three chapters. Each chapter ends with a section giving details of related results.



Some Exponential Diophantine Equations


Some Exponential Diophantine Equations
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Author : Nobuhiro Terai
language : en
Publisher:
Release Date : 1993

Some Exponential Diophantine Equations written by Nobuhiro Terai and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.




Hilbert S Tenth Problem


Hilbert S Tenth Problem
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Author : I︠U︡riĭ V. Matii︠a︡sevich
language : en
Publisher: MIT Press
Release Date : 1993

Hilbert S Tenth Problem written by I︠U︡riĭ V. Matii︠a︡sevich and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Computers categories.


This book presents the full, self-contained negative solution of Hilbert's 10th problem.



Equations In Free Semigroups


Equations In Free Semigroups
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Author : I︠U︡riĭ Ilʹich Khmelevskiĭ
language : en
Publisher: American Mathematical Soc.
Release Date : 1976

Equations In Free Semigroups written by I︠U︡riĭ Ilʹich Khmelevskiĭ 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 1976 with Mathematics categories.


"This monography deals with equations in a free semigroup with a finite number of generators." Introduction.



Unsolved Problems In Number Theory


Unsolved Problems In Number Theory
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Author : Richard Guy
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Unsolved Problems In Number Theory written by Richard Guy 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 2013-03-09 with Mathematics categories.


Mathematics is kept alive by the appearance of new unsolved problems, problems posed from within mathematics itself, and also from the increasing number of disciplines where mathematics is applied. This book provides a steady supply of easily understood, if not easily solved, problems which can be considered in varying depths by mathematicians at all levels of mathematical maturity. For this new edition, the author has included new problems on symmetric and asymmetric primes, sums of higher powers, Diophantine m-tuples, and Conway's RATS and palindromes. The author has also included a useful new feature at the end of several of the sections: lists of references to OEIS, Neil Sloane's Online Encyclopedia of Integer Sequences. About the first Edition: "...many talented young mathematicians will write their first papers starting out from problems found in this book." András Sárközi, MathSciNet



Diophantine Approximation On Linear Algebraic Groups


Diophantine Approximation On Linear Algebraic Groups
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Author : Michel Waldschmidt
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Diophantine Approximation On Linear Algebraic Groups written by Michel Waldschmidt 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 2013-03-14 with Mathematics categories.


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.



Catalan Numbers With Applications


Catalan Numbers With Applications
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Author : Thomas Koshy
language : en
Publisher: OUP USA
Release Date : 2009

Catalan Numbers With Applications written by Thomas Koshy and has been published by OUP USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.


This book presents a clear and comprehensive introduction to one of the truly fascinating topics in mathematics: Catalan numbers. They crop up in chess, computer programming and even train tracks. In addition to lucid descriptions of the mathematics and history behind Catalan numbers, Koshy includes short biographies of the prominent mathematicians who have worked with the numbers.



Diophantine Analysis


Diophantine Analysis
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Author : Jörn Steuding
language : en
Publisher: Birkhäuser
Release Date : 2016-12-21

Diophantine Analysis written by Jörn Steuding and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-21 with Mathematics categories.


This collection of course notes from a number theory summer school focus on aspects of Diophantine Analysis, addressed to Master and doctoral students as well as everyone who wants to learn the subject. The topics range from Baker’s method of bounding linear forms in logarithms (authored by Sanda Bujačić and Alan Filipin), metric diophantine approximation discussing in particular the yet unsolved Littlewood conjecture (by Simon Kristensen), Minkowski’s geometry of numbers and modern variations by Bombieri and Schmidt (Tapani Matala-aho), and a historical account of related number theory(ists) at the turn of the 19th Century (Nicola M.R. Oswald). Each of these notes serves as an essentially self-contained introduction to the topic. The reader gets a thorough impression of Diophantine Analysis by its central results, relevant applications and open problems. The notes are complemented with many references and an extensive register which makes it easy to navigate through the book.



Logic Methodology And Philosophy Of Science Proceeding Of The 1960 International Congress


Logic Methodology And Philosophy Of Science Proceeding Of The 1960 International Congress
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Author : Lev D. Beklemishev
language : en
Publisher: Elsevier
Release Date : 2009-06-15

Logic Methodology And Philosophy Of Science Proceeding Of The 1960 International Congress written by Lev D. Beklemishev and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-15 with Computers categories.


Logic, Methodology and Philosophy of Science, Proceeding of the 1960 International Congress



The Collected Works Of Julia Robinson


The Collected Works Of Julia Robinson
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Author : Julia Robinson
language : en
Publisher: American Mathematical Soc.
Release Date : 1996

The Collected Works Of Julia Robinson written by Julia Robinson 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 1996 with Mathematics categories.


Gathers together all 25 of the published works of Julia Bowman Robinson spanning a period of more than 30 years. Except for two early publications, all these papers serve as contributions to the theory of effectively calculable functions and especially to its applications. Of note is Robinson's proof of the effective unsolvability of the decision problem for the rational number field and her work that provided the central step toward the negative solution of Hilbert's Tenth Problem. Includes a short biographical memoir by the editor. Annotation copyright by Book News, Inc., Portland, OR