Overview

The new edition is significantly updated and expanded. This unique collection of review articles, ranging from fundamental concepts up to latest applications, contains individual contributions written by renowned experts in the relevant fields. Much attention is paid to ensuring fast access to the information, with each carefully reviewed article featuring cross-referencing, references to the most relevant publications in the field, and suggestions for further reading, both introductory as well as more specialized. While the chapters on group theory, integral transforms, Monte Carlo methods, numerical analysis, perturbation theory, and special functions are thoroughly rewritten, completely new content includes sections on commutative algebra, computational algebraic topology, differential geometry, dynamical systems, functional analysis, graph and network theory, PDEs of mathematical physics, probability theory, stochastic differential equations, and variational methods.

Full Product Details

Author:   Michael Grinfeld (University of Strathclyde, Glasgow, United Kingdom)
Publisher:   Wiley-VCH Verlag GmbH
Imprint:   Blackwell Verlag GmbH
Edition:   2nd edition
Dimensions:   Width: 17.90cm , Height: 3.70cm , Length: 25.00cm
Weight:   1.492kg
ISBN:  

9783527411887

ISBN 10:   3527411887
Pages:   632
Publication Date:   12 November 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order  
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

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

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

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

Author Information

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.

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