Techniques of Applied Mathematics by Andrew Fowler
Techniques of Applied Mathematics - Table of Contents
1. Introduction
2. Non Dimensionalisation and Approximation
3. Perturbation Methods
4. Stability and Oscillations
5. Oscillation and Comparision Methods
6. Integral Equations and Eigenfunctions
7. Waves and Shocks
8. Similarity solutions
9. Nonlinear Diffusion
What You Will Learn in Techniques of Applied Mathematics
This book develops the mathematical techniques and proceeds to explore a range of continuum models from an impressive array of disciplines, including biology, chemical engineering, fluid and solid mechanics, geophysics, medicine, and physics which are useful in solving 'real-world' problems involving differential equations, and is a development of ideas which arise in the second year differential equations course. It assumes only a basic mathematical grounding in calculus and analysis and will provide a wealth of examples for students of mathematics, engineering, and applied sciences.
Book Details & Specifications
Title:
Techniques of Applied Mathematics by Andrew Fowler
Publisher:
University of Oxford
Year:
2005
Pages:
141
Type:
PDF
Language:
English
ISBN-10 #:
0484545477
ISBN-13 #:
978-0484545471
License:
University Educational Resource
Amazon:
Amazon
About the Author: Andrew C Fowler
The author
Andrew C Fowler
is a British mathematician and professor at Mathematical Institute, Oxford University. He known for his work in "Applied Mathematics" and "Mathematical Modelling". He studied at "Corpus Christi College, University of Oxford", completing his D.Phil. on glacier dynamics, and held academic positions at institutions including "MIT" and the University of Limerick. His expertise includes "Differential Equations", "Asymptotic Analysis", and practical problem-solving in geophysics and environmental science. In "Techniques of Applied Mathematics", Fowler presents methods and tools to solve real-world problems, combining theory with applications, making complex concepts accessible for students and professionals in science and engineering.
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