Table of Contents

Part I
Probability
1 Stochastic processes
Andrew R. Wade, James R. Cruise, Ostap Hryniv
2 Monte-Carlo Methods
Kurt Binder
3 Stochastic Differential Equations
Gabriel Lord

Part II
Discrete Mathematics, Geometry, Topology
4 Graph and Network Theory
Ernesto Estrada
5 Group Theory
Robert Gilmore
6 Algebraic Topology
Vanessa Robins
7 Special Functions
Christopher Athorne
8 Computer Algebra
James Davenport
9 Differentiable Manifolds
Marcelo Epstein
10 Topics in Differential Geometry
Marcelo Epstein

Part III
Analysis
11 Dynamical Systems
David A. W. Barton
12 Perturbation Methods
James Murdock
13 Functional Analysis
Pavel Exner
14 Numerical Analysis
Lyonell Boulton
15 Mathematical Transformations
Rainer Picard, Des McGhee, Sascha Trostorff, Marcus Waurick
16 Partial Differential Equations
Des McGhee, Rainer Picard, Sascha Trostorff, Marcus Waurick
17 Calculus of Variations
Tomas Roubicek

About the Author

This volume will be edited by Dr. Michael Grinfeld, Department of Mathematics and Statistics at the University of Strathclyde in Glasgow, UK. His areas of interest are topological methods in differential equations and continuum models in material science.Michael Grinfeld serves on the Editorial Boards of Proceedings EMS and Mathematical methods in the Applied Sciences.

Reviews

"This book [...] is supportive for both advanced students and scientists at work." HTM - Journal of Heat, Treatment and Materials on the first edition "offer[s] advanced students and researchers a quick, to-the-point introduction..." CHOICE Reviews on the first edition