Techniques of Applied Mathematics by Andrew Fowler
Techniques of Applied Mathematics - Table of Contents
- 1. Introduction
- 2. Non Dimensionalisation and Approximation and non dimensionalisation scaling parameters estimation
- 3. Perturbation Methods and singular perturbation methods asymptotic expansions
- 4. Stability and Oscillations and linear stability analysis phase plane oscillations
- 5. Oscillation and Comparision Methods and sturm liouville oscillation comparison theorems
- 6. Integral Equations and Eigenfunctions and fredholm integral equations eigenfunctions kernel
- 7. Waves and Shocks and kinematic waves shock waves method of characteristics
- 8. Similarity solutions and similarity solutions lie group invariants scale invariance
- 9. Nonlinear Diffusion and nonlinear diffusion equations traveling wave solutions
What You Will Learn in Techniques of Applied Mathematics
In Techniques of Applied Mathematics, renowned mathematician Andrew Fowler presents an indispensable guide to the operational tools used across classical and modern mathematical modeling. Across 9 core chapters, the work covers non-dimensionalisation scaling, regular and singular perturbation methods, linear stability analysis, Sturm-Liouville comparison theorems, Fredholm integral equations, kinematic wave shock formation, similarity reductions, and non-linear diffusion equations.
Targeted at undergraduate and graduate students in applied mathematics, engineering, and physical sciences, Prof. Fowler bridges theoretical partial differential equations with practical asymptotic techniques. Readers are guided step-by-step through boundary layer theory, matched asymptotic expansions, WKB approximations, traveling wave solutions, and self-similar transformation methods.
Invaluable for its clear problem-solving methodologies, logical progression, and wealth of physical applications, this textbook stands as one of the best techniques of applied mathematics textbooks pdf available for study. It systematically equips quantitative researchers with foundational analytical tools for mastering applied mathematical techniques with confidence.
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 distinguished mathematician and Professor of Applied Mathematics at the University of Limerick, Ireland, and Emeritus Fellow of St Hugh's College, Oxford.
An internationally recognized expert in geophysics, industrial mathematics, and asymptotic analysis, Prof. Fowler has authored several foundational textbooks on mathematical modeling, glaciology, and differential equation methods.
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