Diophantine Analysis
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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.
Diophantine Analysis
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Author : Robert Daniel Carmichael
language : en
Publisher:
Release Date : 1915
Diophantine Analysis written by Robert Daniel Carmichael and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1915 with Diophantine analysis categories.
Diophantine Analysis
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Author : ROBERT D. CARMICHAEL
language : en
Publisher:
Release Date : 2018
Diophantine Analysis written by ROBERT D. CARMICHAEL and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
Elliptic Curves
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Author : S. Lang
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Elliptic Curves written by S. Lang 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 2013-06-29 with Mathematics categories.
It is possible to write endlessly on elliptic curves. (This is not a threat.) We deal here with diophantine problems, and we lay the foundations, especially for the theory of integral points. We review briefly the analytic theory of the Weierstrass function, and then deal with the arithmetic aspects of the addition formula, over complete fields and over number fields, giving rise to the theory of the height and its quadraticity. We apply this to integral points, covering the inequalities of diophantine approximation both on the multiplicative group and on the elliptic curve directly. Thus the book splits naturally in two parts. The first part deals with the ordinary arithmetic of the elliptic curve: The transcendental parametrization, the p-adic parametrization, points of finite order and the group of rational points, and the reduction of certain diophantine problems by the theory of heights to diophantine inequalities involving logarithms. The second part deals with the proofs of selected inequalities, at least strong enough to obtain the finiteness of integral points.
Exploring The Number Jungle A Journey Into Diophantine Analysis
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Author : Edward B. Burger
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Exploring The Number Jungle A Journey Into Diophantine Analysis written by Edward B. Burger 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 2000 with Mathematics categories.
The minimal background requirements and the author's fresh approach make this book enjoyable and accessible to a wide range of students, mathematicians, and fans of number theory."--BOOK JACKET.
Lecture Notes On Diophantine Analysis
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Author : Umberto Zannier
language : en
Publisher: Springer
Release Date : 2015-05-05
Lecture Notes On Diophantine Analysis written by Umberto Zannier and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-05 with Mathematics categories.
These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. Generally speaking, the prerequisites do not go beyond basic mathematical material and are accessible to many undergraduates. The contents mainly concern diophantine problems on affine curves, in practice describing the integer solutions of equations in two variables. This case historically suggested some major ideas for more general problems. Starting with linear and quadratic equations, the important connections with Diophantine Approximation are presented and Thue's celebrated results are proved in full detail. In later chapters more modern issues on heights of algebraic points are dealt with, and applied to a sharp quantitative treatment of the unit equation. The book also contains several supplements, hinted exercises and an appendix on recent work on heights.
Diophantus And Diophantine Equations
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Author : Izabella Grigorʹevna Bashmakova
language : en
Publisher: Cambridge University Press
Release Date : 1997
Diophantus And Diophantine Equations written by Izabella Grigorʹevna Bashmakova 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 1997 with Mathematics categories.
Semi-popular maths on an area of number theory related to Fermat.
Diophantine Analysis
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Author : Robert D. Carmichael
language : en
Publisher:
Release Date : 1959
Diophantine Analysis written by Robert D. Carmichael and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with categories.
Diophantine Analysis
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Author : R. D. Carmichael
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2017-06-03
Diophantine Analysis written by R. D. Carmichael and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-03 with categories.
Diophantine Analysis by R. D. Carmichael
Diophantine Analysis
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Author : R D 1879-1967 Carmichael
language : en
Publisher: Legare Street Press
Release Date : 2022-10-27
Diophantine Analysis written by R D 1879-1967 Carmichael and has been published by Legare Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-27 with categories.
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.