Author: Serge Lang
Publisher: Springer Science & Business Media
ISBN: 1461242207
Category : Mathematics
Languages : en
Pages : 138
Book Description
The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationships that exist between counting processes and the functions entering the theory; the determination of these functions for numbers given as classical numbers; and certain asymptotic estimates holding almost everywhere. Each chapter works out a special case of a much broader general theory, as yet unknown. Indications for this are given throughout the book, together with reference to current publications. The book may be used in a course in number theory, whose students will thus be put in contact with interesting but accessible problems on the ground floor of mathematics.
Introduction to Diophantine Approximations
Author: Serge Lang
Publisher: Springer Science & Business Media
ISBN: 1461242207
Category : Mathematics
Languages : en
Pages : 138
Book Description
The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationships that exist between counting processes and the functions entering the theory; the determination of these functions for numbers given as classical numbers; and certain asymptotic estimates holding almost everywhere. Each chapter works out a special case of a much broader general theory, as yet unknown. Indications for this are given throughout the book, together with reference to current publications. The book may be used in a course in number theory, whose students will thus be put in contact with interesting but accessible problems on the ground floor of mathematics.
Publisher: Springer Science & Business Media
ISBN: 1461242207
Category : Mathematics
Languages : en
Pages : 138
Book Description
The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationships that exist between counting processes and the functions entering the theory; the determination of these functions for numbers given as classical numbers; and certain asymptotic estimates holding almost everywhere. Each chapter works out a special case of a much broader general theory, as yet unknown. Indications for this are given throughout the book, together with reference to current publications. The book may be used in a course in number theory, whose students will thus be put in contact with interesting but accessible problems on the ground floor of mathematics.
An Introduction to Diophantine Approximation
Author: John William Scott Cassels
Publisher:
ISBN:
Category : Diophantine analysis
Languages : en
Pages : 198
Book Description
Publisher:
ISBN:
Category : Diophantine analysis
Languages : en
Pages : 198
Book Description
Introduction to Diophantine Approximations
Author: Serge Lang
Publisher:
ISBN:
Category : Diophantine analysis
Languages : en
Pages : 83
Book Description
Publisher:
ISBN:
Category : Diophantine analysis
Languages : en
Pages : 83
Book Description
An Introduction to Diophantine Approximation
Author: J. W. S. Cassels
Publisher:
ISBN: 9780758113481
Category :
Languages : en
Pages : 166
Book Description
Publisher:
ISBN: 9780758113481
Category :
Languages : en
Pages : 166
Book Description
An Introduction to Diophantine Approximation
An Introduction to Diophantine Approximation
Diophantine Geometry
Author: Marc Hindry
Publisher: Springer Science & Business Media
ISBN: 1461212103
Category : Mathematics
Languages : en
Pages : 574
Book Description
This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make it quite attractive to graduate students and professional mathematicians. In each part of the book, the reader will find numerous exercises.
Publisher: Springer Science & Business Media
ISBN: 1461212103
Category : Mathematics
Languages : en
Pages : 574
Book Description
This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make it quite attractive to graduate students and professional mathematicians. In each part of the book, the reader will find numerous exercises.
Diophantine Approximation on Linear Algebraic Groups
Author: Michel Waldschmidt
Publisher: Springer Science & Business Media
ISBN: 3662115697
Category : Mathematics
Languages : en
Pages : 649
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 3662115697
Category : Mathematics
Languages : en
Pages : 649
Book Description
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.
Diophantine Approximations and Diophantine Equations
Author: Wolfgang M. Schmidt
Publisher: Springer
ISBN: 3540473742
Category : Mathematics
Languages : en
Pages : 224
Book Description
"This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to diophantine equations. The methods are classical, and the results stressed can be obtained without much background in algebraic geometry. In particular, Thue equations, norm form equations and S-unit equations, with emphasis on recent explicit bounds on the number of solutions, are included. The book will be useful for graduate students and researchers." (L'Enseignement Mathematique) "The rich Bibliography includes more than hundred references. The book is easy to read, it may be a useful piece of reading not only for experts but for students as well." Acta Scientiarum Mathematicarum
Publisher: Springer
ISBN: 3540473742
Category : Mathematics
Languages : en
Pages : 224
Book Description
"This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to diophantine equations. The methods are classical, and the results stressed can be obtained without much background in algebraic geometry. In particular, Thue equations, norm form equations and S-unit equations, with emphasis on recent explicit bounds on the number of solutions, are included. The book will be useful for graduate students and researchers." (L'Enseignement Mathematique) "The rich Bibliography includes more than hundred references. The book is easy to read, it may be a useful piece of reading not only for experts but for students as well." Acta Scientiarum Mathematicarum
An Introduction to Diophantine Equations
Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817645497
Category : Mathematics
Languages : en
Pages : 350
Book Description
This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well as exponential Diophantine equations. Many of the selected exercises and problems are original or are presented with original solutions. An Introduction to Diophantine Equations: A Problem-Based Approach is intended for undergraduates, advanced high school students and teachers, mathematical contest participants — including Olympiad and Putnam competitors — as well as readers interested in essential mathematics. The work uniquely presents unconventional and non-routine examples, ideas, and techniques.
Publisher: Springer Science & Business Media
ISBN: 0817645497
Category : Mathematics
Languages : en
Pages : 350
Book Description
This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well as exponential Diophantine equations. Many of the selected exercises and problems are original or are presented with original solutions. An Introduction to Diophantine Equations: A Problem-Based Approach is intended for undergraduates, advanced high school students and teachers, mathematical contest participants — including Olympiad and Putnam competitors — as well as readers interested in essential mathematics. The work uniquely presents unconventional and non-routine examples, ideas, and techniques.