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20140310151443.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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110829s2011 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780817682804 |
|
978-0-8176-8280-4 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA299.6-433 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515 |
| Edition number |
23 |
| 264 #1 - |
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| -- |
Boston : |
| -- |
Birkhäuser Boston, |
| -- |
2011. |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Melnikov, Yuri A. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Green's Functions and Infinite Products |
| Medium |
[electronic resource] : |
| Remainder of title |
Bridging the Divide / |
| Statement of responsibility, etc |
by Yuri A. Melnikov. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
X, 165p. 32 illus. |
| Other physical details |
online resource. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
INTRODUCTION -- CHAPTER 1: Infinite Products & Elementary Functions -- 1.1 Classical Euler representations -- 1.2 Alternative derivations -- 1.3 Other elementary functions -- 1.4 Chapter exercises -- CHAPTER 2: Green's Functions for the Laplace Equation -- 2.1 Construction by the method of images -- 2.2 Conformal mapping method -- 2.3 Chapter exercises -- CHAPTER 3: Green's Functions for ODE -- 3.1 Construction by defining properties -- 3.2 Method of variation of parameters -- 3.3 Chapter exercises -- CHAPTER 4: Method of Eigenfunction Expansion -- 4.1 Hilbert's theorem -- 4.2 Cartesian coordinates -- 4.3 Polar coordinates -- 4.4 Chapter exercises -- CHAPTER 5: New Infinite Product Representations -- 5.1 Method of images extends frontiers -- 5.2 Trigonometric functions -- 5.3 Hyperbolic functions -- 5.4 Chapter exercises -- HINTS AND ANSWERS TO CHAPTER EXERCISES -- REFERENCES -- INDEX. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Global analysis (Mathematics). |
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| Topical term or geographic name as entry element |
Differential Equations. |
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| Topical term or geographic name as entry element |
Differential equations, partial. |
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| Topical term or geographic name as entry element |
Mathematics. |
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| Topical term or geographic name as entry element |
Analysis. |
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| Topical term or geographic name as entry element |
Ordinary Differential Equations. |
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| Topical term or geographic name as entry element |
Partial Differential Equations. |
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| Topical term or geographic name as entry element |
Applications of Mathematics. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
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| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
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| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Display text |
Printed edition: |
| International Standard Book Number |
9780817682798 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-0-8176-8280-4 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
E-Book |
