View Poll Results: For those who have used this book Strongly Recommend 1 100.00% Lightly Recommend 0 0% Lightly don't Recommend 0 0% Strongly don't Recommend 0 0% Voters: 1. You may not vote on this poll

# Calculus Basic Partial Differential Equations by D. Bleecker and G. Csordas

by Greg Bernhardt
Tags: None
 Admin P: 9,688 Author: David Bleecker (Author), George Csordas (Author) Title: Basic Partial Differential Equations Amazon Link: http://www.amazon.com/Basic-Partial-...8723881&sr=1-1 Prerequisities: Table of Contents:  Preface Review and Introduction A Review of Ordinary Differential Equations Generalities about PDEs General Solutions and Elementary Techniques First-Order PDEs First-Order Linear PDEs (Constant Coefficients) Variable Coefficients Higher Dimensions, Quasi-linearity, Applications Supplement on General Nonlinear First-Order PDEs (Optional The Heat Equation Derivation of the Heat Equation and Solutions of the Standard Initial/Boundary-Value Problems Uniqueness and the Maximum Principle Time-Independent Boundary Conditions Time-Dependent Boundary Conditions and Duhamel's Principle for Inhomogeneous Heat Equations Fourier Series and Sturm-Liouville Theory Orthogonality and the Definition of Fourier Series Convergence Theorems for Fourier Series Sine and Cosine Series and Applications Sturm-Liouville Theory The Wave Equation The Wave Equation - Derivation and Uniqueness D'Alambert's Solution of Wave Problems Other Boundary Conditions and Inhomogeneous Wave Equations Laplace's Equation General Orientation The Dirichlet Problem for a Rectangle The Dirichlet Problem for Annuli and Disks The Maximum Principle and Uniqueness for the Dirichlet Problem Complex Variable Theory with Applications Fourier Transforms Complex Fourier Series Basic Properties of Fourier Transforms The Inversion Theorem and Parseval's Equality Fourier Transform Methods for PDEs Applications to Problems on Finite and Semi-Finite Intervals Numerical Solutions of PDEs - An Introduction The O Symbol and Approximations of Derivatives The Explicit Difference Method and the Heat Equation Difference Equations and Round-off Errors An Overview of Some Other Numerical Methods for PDEs (Optional) PDEs in Higher Dimensions Higher-Dimensional PDEs - Rectangular Coordinates The Eigenfunction Viewpoint PDEs in Spherical Coordinates Spherical Harmonics, Laplace Series and Applications Special Functions and Applications Solving PDEs on Manifolds Appendix The Classification Theorem Fubini's Theorem Leibniz's Rule The Maximum/Minimum Theorem A Table of Fourier Transforms Bessel Functions References Selected Answers Index of Notation Notation