Dmitry Khavinson's Books

Linear Holomorphic Partial Differential Equations and Classical Potential Theory

By: Dmitry Khavinson,Erik Lundberg

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Linear Holomorphic Partial Differential Equations and Classical Potential Theory

By: Dmitry Khavinson,Erik Lundberg

Why do solutions of linear analytic PDE suddenly break down? What is the source of these mysterious singularities, and how do they propagate? Is there a mean value property for harmonic functions in ellipsoids similar to that for balls? Is there a reflection principle for harmonic functions in higher dimensions similar to the Schwarz reflection principle in the plane? How far outside of their natural domains can solutions of the Dirichlet problem be extended? Where do the continued solutions become singular and why? This book invites graduate students and young analysts to explore these and many other intriguing questions that lead to beautiful results illustrating a nice interplay between parts of modern analysis and themes in “physical” mathematics of the nineteenth century. To make the book accessible to a wide audience including students, the authors do not assume expertise in the theory of holomorphic PDE, and most of the book is accessible to anyone familiar with multivariable calculus and some basics in complex analysis and differential equations.

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Page Count

226

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470437805

ISBN 13

9781470437800

Algebraic Geometry Codes: Advanced Chapters

By: Michael Tsfasman,Serge Vlǎduţ,Dmitry Nogin

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Algebraic Geometry Codes: Advanced Chapters

By: Michael Tsfasman,Serge Vlǎduţ,Dmitry Nogin

Algebraic Geometry Codes: Advanced Chapters is devoted to the theory of algebraic geometry codes, a subject related to local_libraryBook Catalogseveral domains of mathematics. On one hand, it involves such classical areas as algebraic geometry and number theory; on the other, it is connected to information transmission theory, combinatorics, finite geometries, dense packings, and so on. The book gives a unique perspective on the subject. Whereas most books on coding theory start with elementary concepts and then develop them in the framework of coding theory itself within, this book systematically presents meaningful and important connections of coding theory with algebraic geometry and number theory. Among many topics treated in the book, the following should be mentioned: curves with many points over finite fields, class field theory, asymptotic theory of global fields, decoding, sphere packing, codes from multi-dimensional varieties, and applications of algebraic geometry codes. The book is the natural continuation of Algebraic Geometric Codes: Basic Notions by the same authors. The concise exposition of the first volume is included as an appendix.

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Page Count

466

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470448653

ISBN 13

9781470448653

A Comprehensive Guide to Biological Medicine and Wellness

By: Mike Chan,Dmitry Klokol

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A Comprehensive Guide to Biological Medicine and Wellness

By: Mike Chan,Dmitry Klokol

With the arise of chronic, age and lifestyle-related illnesses, overwhelming stress, toxins and pollution, the society began to value more aspects of personal health than mere physical symptoms – the balance and harmony of mind, spirit and body.

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Page Count

350

Publisher

Troubador Publishing Ltd

Published Date

ISBN 10

1789019117

ISBN 13

9781789019117

Linear Holomorphic Partial Differential Equations and Classical Potential Theory

By: Dmitry Khavinson,Erik Lundberg

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Linear Holomorphic Partial Differential Equations and Classical Potential Theory

By: Dmitry Khavinson,Erik Lundberg

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

226

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470437805

ISBN 13

9781470437800

Book's by Dmitry Khavinson

Linear Holomorphic Partial Differential Equations and Classical Potential Theory

Linear Holomorphic Partial Differential Equations and Classical Potential Theory

Algebraic Geometry Codes: Advanced Chapters

Algebraic Geometry Codes: Advanced Chapters

A Comprehensive Guide to Biological Medicine and Wellness

A Comprehensive Guide to Biological Medicine and Wellness

Linear Holomorphic Partial Differential Equations and Classical Potential Theory

Linear Holomorphic Partial Differential Equations and Classical Potential Theory

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