By Michael Grinfeld

This targeted choice of evaluation articles, starting from basic recommendations as much as most modern functions, comprises person contributions written by means of well known specialists within the suitable fields. a lot cognizance is paid to making sure quickly entry to the data, with every one rigorously reviewed article that includes cross-referencing, references to the main proper guides within the box, and recommendations for additional interpreting, either introductory in addition to extra specialized.

whereas the chapters on team idea, vital transforms, Monte Carlo equipment, numerical research, perturbation concept, and specific capabilities are completely rewritten, thoroughly new content material comprises sections on commutative algebra, computational algebraic topology, differential geometry, dynamical structures, practical research, graph and community conception, PDEs of mathematical physics, likelihood conception, stochastic differential equations, and variational methods.

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