Linear Methods of Applied Mathematics

A suitable text for a first course on partial differential equations, Fourier series and special functions, and integral equations.

**Tag(s):**
Mathematics

**Publication date**: 31 Dec 2000

**ISBN-10**:
n/a

**ISBN-13**:
n/a

**Paperback**:
n/a

**Views**: 20,301

**Type**: N/A

**Publisher**:
n/a

**License**:
n/a

**Post time**: 14 Jun 2005 06:57:32

Linear Methods of Applied Mathematics

A suitable text for a first course on partial differential equations, Fourier series and special functions, and integral equations.

Book excerpts:

This is an online textbook written by Evans M. Harrell II and James V. Herod, both of Georgia Tech. It is suitable for a first course on partial differential equations, Fourier series and special functions, and integral equations. Readers are expected to have completed two years of calculus and an introduction to ordinary differential equations and vector spaces.

This text is suitable for students who are quite comfortable with calculus and are mainly interested in problem solving. For that reason, this text does not stress proofs, although it tries to give careful statements of theorems and to discuss the technical assumptions. Also, it does not spend much time with material like methods to calculate the integrals arising in Fourier analysis, choosing instead to appeal to software to do some calculations.

Currently, the calculations are usually done with Mathematica, although some parts of the text are also available using Maple. It is not at all necessary to have previous experience with mathematical software, since the calculations in the text are self-explanatory. On the other hand, there are links to many more detailed calculations done in Mathematica notebooks, which will be useful for those who are familiar with Mathematica or who are learning it. Many Georgia Tech students have also found Matlab to be useful for calculations like those in this text.

This is an online textbook written by Evans M. Harrell II and James V. Herod, both of Georgia Tech. It is suitable for a first course on partial differential equations, Fourier series and special functions, and integral equations. Readers are expected to have completed two years of calculus and an introduction to ordinary differential equations and vector spaces.

This text is suitable for students who are quite comfortable with calculus and are mainly interested in problem solving. For that reason, this text does not stress proofs, although it tries to give careful statements of theorems and to discuss the technical assumptions. Also, it does not spend much time with material like methods to calculate the integrals arising in Fourier analysis, choosing instead to appeal to software to do some calculations.

Currently, the calculations are usually done with Mathematica, although some parts of the text are also available using Maple. It is not at all necessary to have previous experience with mathematical software, since the calculations in the text are self-explanatory. On the other hand, there are links to many more detailed calculations done in Mathematica notebooks, which will be useful for those who are familiar with Mathematica or who are learning it. Many Georgia Tech students have also found Matlab to be useful for calculations like those in this text.

Tweet

About The Author(s)

No information is available for this author.

No information is available for this author.

Book Categories

Computer Science
Introduction to Computer Science
Introduction to Computer Programming
Algorithms and Data Structures
Artificial Intelligence
Computer Vision
Machine Learning
Neural Networks
Game Development and Multimedia
Data Communication and Networks
Coding Theory
Computer Security
Information Security
Cryptography
Information Theory
Computer Organization and Architecture
Operating Systems
Image Processing
Parallel Computing
Concurrent Programming
Relational Database
Document-oriented Database
Data Mining
Big Data
Data Science
Digital Libraries
Compiler Design and Construction
Functional Programming
Logic Programming
Object Oriented Programming
Formal Methods
Software Engineering
Agile Software Development
Information Systems
Geographic Information System (GIS)

Mathematics
Mathematics
Algebra
Abstract Algebra
Linear Algebra
Number Theory
Numerical Methods
Precalculus
Calculus
Differential Equations
Category Theory
Proofs
Discrete Mathematics
Theory of Computation
Graph Theory
Real Analysis
Complex Analysis
Probability
Statistics
Game Theory
Queueing Theory
Operations Research
Computer Aided Mathematics

Supporting Fields
Web Design and Development
Mobile App Design and Development
System Administration
Cloud Computing
Electric Circuits
Embedded System
Signal Processing
Integration and Automation
Network Science
Project Management

Operating System
Programming/Scripting
Ada
Assembly
C / C++
Common Lisp
Forth
Java
JavaScript
Lua
Microsoft .NET
Rexx
Perl
PHP
Python
R
Rebol
Ruby
Scheme
Tcl/Tk

Miscellaneous
Sponsors