Melnikov Y Green's Functions and Infinite Products Bridging the Divide 2011 | 3.08 MB
English | 176 Pages

Title: Green's Functions and Infinite Products: Bridging the Divide
Author: Yuri A. Melnikov
Year: 2011

Description:
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.

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