The document on this Reference CD includes over 900 pages of applied mathematics from basic algebra and calculus fundamentals to advanced differential equations. It would be a useful resource to anyone studying at the college or university levels. It would also serve as good resource material for anyone studying or working in science, technology, engineering and business.
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METHODS OF APPLIED MATHEMATICS
(900+ Pages)
October 2001
Algebra
Sets and Functions
Vectors
Calculus
Differential Calculus
Integral Calculus
Vector Calculus
Functions of a Complex Variable
Complex Numbers
Functions of a Complex Variable
Analytic Functions
Analytic Continuation
Cauchy's Integral Formula
Series and Convergence
The Residue Theorem
Ordinary Differential Equations
First Order Differential Equations
First Order Systems of Differential Equations
Theory of Linear Ordinary Differential Equations
Techniques for Linear Differential Equations
Techniques for Nonlinear Differential Equations
Transformations and Canonical Forms
The Dirac Delta Function
Difference Equations
Series Solutions of Differential Equations
Asymptotic Expansions
Hilbert Spaces
Self Adjoint Linear Operators
Self-Adjoint Boundary Value Problems
Fourier Series
Regular Sturm-Liouville Problems
Integrals and Convergence
The Laplace Transform
The Fourier Transform
The Gamma Function
Bessel Functions
Partial Differential Equations
Transforming Equations
Classifcation of Partial Differential Equations
Separation of Variables
Finite Transforms
The Difusion Equation
Laplace's Equation
Waves
Similarity Methods
Method of Characteristics
Transform Methods
Green Functions
Conformal Mapping
Non-Cartesian Coordinates
Calculus of Variations
Calculus of Variations
Nonlinear Differential Equations
Nonlinear Ordinary Differential Equations
Nonlinear Partial Differential Equations
THIS DOCUMENT IS IN ELECTRONIC ADOBE PDF FORMAT
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