Marc Hindry's Books

Diophantine Geometry

An Introduction

By: Marc Hindry,Joseph H. Silverman

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Diophantine Geometry

An Introduction

By: Marc Hindry,Joseph H. Silverman

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.

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Page Count

574

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461212103

ISBN 13

9781461212102

Arithmetics

By: Marc Hindry

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Arithmetics

By: Marc Hindry

Number theory is a branch of mathematics which draws its vitality from a rich historical background. It is also traditionally nourished through interactions with other areas of research, such as algebra, algebraic geometry, topology, complex analysis and harmonic analysis. More recently, it has made a spectacular appearance in the field of theoretical computer science and in questions of communication, cryptography and error-correcting codes. Providing an elementary introduction to the central topics in number theory, this book spans multiple areas of research. The first part corresponds to an advanced undergraduate course. All of the statements given in this part are of course accompanied by their proofs, with perhaps the exception of some results appearing at the end of the chapters. A copious list of exercises, of varying difficulty, are also included here. The second part is of a higher level and is relevant for the first year of graduate school. It contains an introduction to elliptic curves and a chapter entitled “Developments and Open Problems”, which introduces and brings together various themes oriented toward ongoing mathematical research. Given the multifaceted nature of number theory, the primary aims of this book are to: - provide an overview of the various forms of mathematics useful for studying numbers - demonstrate the necessity of deep and classical themes such as Gauss sums - highlight the role that arithmetic plays in modern applied mathematics - include recent proofs such as the polynomial primality algorithm - approach subjects of contemporary research such as elliptic curves - illustrate the beauty of arithmetic The prerequisites for this text are undergraduate level algebra and a little topology of Rn. It will be of use to undergraduates, graduates and phd students, and may also appeal to professional mathematicians as a reference text.

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Page Count

334

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1447121317

ISBN 13

9781447121312

Diophantine Geometry

An Introduction

By: Marc Hindry,Joseph H. Silverman

Write a review Read reviews Take a Quiz Solve Book Puzzle

Diophantine Geometry

An Introduction

By: Marc Hindry,Joseph H. Silverman

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

574

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461212103

ISBN 13

9781461212102

Arithmetics

By: Marc Hindry

Write a review Read reviews Take a Quiz Solve Book Puzzle

Arithmetics

By: Marc Hindry

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

334

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1447121317

ISBN 13

9781447121312

Book's by Marc Hindry

Diophantine Geometry

Diophantine Geometry

Arithmetics

Arithmetics

Diophantine Geometry

Diophantine Geometry

Arithmetics

Arithmetics

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