## ＜電子ブック＞Green's functions and infinite products : bridging the divide

責任表示 Yuri A. Melnikov Melnikov, Yu. A English (英語) Birkhäuser 2011- New York, New York (State) 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 di...fferential 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.続きを見る 1. Introduction2. Infinite products and elementary functions3. Green's functions for the Laplace equation4. Green's functions for ODE5. Eigenfunction expansion6. Representation of elementary functions7. Hints and answers to chapter exercises. Full text available from Springer Mathematics and Statistics eBooks 2011 English/International

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レコードID 3332989 年刊 QC174.17.G68 Green's functions. Products, Infinite. Conformal mapping. Eigenfunction expansions. ssj0000609852 2011937161 GBB194300 9780817682798[0817682791](hbk. : alk. paper) 9780817682804[0817682805](ebk.) 2020.06.27 2020.06.28