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.

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.

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