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2011937161 abstract "This textbook accounts for two seemingly unrelated mathematical topics drawn from two separate areas of mathematics that have no evident points of contiguity. Green's function is a topic in partial differential equations and covered in most standard texts, while infinite products are used in mathematical analysis. For the two-dimensional Laplace equation, Green's functions are conventionally constructed by either the method of images, conformal mapping, or the eigenfunction expansion. The present text focuses on the construction of Green's functions for a wide range of boundary-value problems.Green's Functions and Infinite Products provides a thorough introduction to the classical subjects of the construction of Green's functions for the two-dimensional Laplace equation and the infinite product representation of elementary functions. Every chapter begins with a review guide, outlining the basic concepts covered. A set of carefully designed challenging exercises is available at the end of each chapter to provide the reader with the opportunity to explore the concepts in more detail. Hints, comments, and answers to most of those exercises can be found at the end of the text. In addition, several illustrative examples are offered at the end of most sections. This text is intended for an elective graduate course or seminar within the scope of either pure or applied mathematics--P. 4 of cover.".
2011937161 contributor B12421886.
2011937161 created "c2011.".
2011937161 date "2011".
2011937161 date "c2011.".
2011937161 dateCopyrighted "c2011.".
2011937161 description "1. Introduction -- 2. Infinite products and elementary functions -- 3. Green's functions for the Laplace equation -- 4. Green's functions for ODE -- 5. Eigenfunction expansion -- 6. Representation of elementary functions -- 7. Hints and answers to chapter exercises.".
2011937161 description "Includes bibliographical references (p. 159-160) and index.".
2011937161 description "This textbook accounts for two seemingly unrelated mathematical topics drawn from two separate areas of mathematics that have no evident points of contiguity. Green's function is a topic in partial differential equations and covered in most standard texts, while infinite products are used in mathematical analysis. For the two-dimensional Laplace equation, Green's functions are conventionally constructed by either the method of images, conformal mapping, or the eigenfunction expansion. The present text focuses on the construction of Green's functions for a wide range of boundary-value problems.Green's Functions and Infinite Products provides a thorough introduction to the classical subjects of the construction of Green's functions for the two-dimensional Laplace equation and the infinite product representation of elementary functions. Every chapter begins with a review guide, outlining the basic concepts covered. A set of carefully designed challenging exercises is available at the end of each chapter to provide the reader with the opportunity to explore the concepts in more detail. Hints, comments, and answers to most of those exercises can be found at the end of the text. In addition, several illustrative examples are offered at the end of most sections. This text is intended for an elective graduate course or seminar within the scope of either pure or applied mathematics--P. 4 of cover.".
2011937161 extent "x, 165 p. :".
2011937161 identifier "0817682791 (hbk. : alk. paper)".
2011937161 identifier "0817682805 (ebk.)".
2011937161 identifier "9780817682798 (hbk. : alk. paper)".
2011937161 identifier "9780817682804 (ebk.)".
2011937161 issued "2011".
2011937161 issued "c2011.".
2011937161 language "eng".
2011937161 publisher "New York : Birkhäuser,".
2011937161 subject "Conformal mapping.".
2011937161 subject "Eigenfunction expansions.".
2011937161 subject "Green's functions.".
2011937161 subject "Products, Infinite.".
2011937161 subject "QC174.17.G68 M44 2011".
2011937161 subject "classical Euler representations Hilbert's theorem method of images method of variation".
2011937161 tableOfContents "1. Introduction -- 2. Infinite products and elementary functions -- 3. Green's functions for the Laplace equation -- 4. Green's functions for ODE -- 5. Eigenfunction expansion -- 6. Representation of elementary functions -- 7. Hints and answers to chapter exercises.".
2011937161 title "Green's functions and infinite products : bridging the divide / Yuri A. Melnikov.".
2011937161 type "text".