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517.1 --- Proof theory
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Complex analysis --- 517.53 --- Functions of a complex variable --- 517.53 Functions of a complex variable
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The aim of this Handbook is to acquaint the reader with the current status of the theory of evolutionary partial differential equations, and with some of its applications. Evolutionary partial differential equations made their first appearance in the 18th century, in the endeavor to understand the motion of fluids and other continuous media. The active research effort over the span of two centuries, combined with the wide variety of physical phenomena that had to be explained, has resulted in an enormous body of literature. Any attempt to produce a comprehensive survey would be futile. The aim
Differential equations --- Mathematics. --- Math --- Science --- 517.91 Differential equations
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This volume contains contributions on recent results in infinite dimensional harmonic analysis and its applications to probability theory. Some papers deal with purely analytic topics such as Frobenius reciprocity, diffeomorphism groups, equivariant fibrations and Harish-Chandra modules. Several other papers touch upon stochastic processes, in particular Lévy processes. The majority of the contributions emphasize on the algebraic-topological aspects of the theory by choosing configuration spaces, locally compact groups and hypergroups as their basic structures. The volume provides a useful sur
Harmonic analysis --- Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis
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This authoritative volume comprises the plenary lectures and articles by many of the field's leading researchers who were brought together for the fourth time at the congress of the International Society for Analysis, its Applications and Computation (ISAAC).A wide spectrum of topics in modern analysis is covered by the fully refereed contributions, such as complex analysis, nonlinear analysis, inverse problems, wavelets, signals and images. In particular, important areas - not given special emphasis in previous meetings - include special functions and orthogonal polynomials, harmonic analysis
Mathematical analysis --- Mathematics --- Math --- Science --- 517.1 Mathematical analysis
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Differential equations --- Numerical solutions. --- 517.91 Differential equations
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A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics and engineering. The presentation is lively and up to date, paying particular emphasis to developing an appreciation of underlying mathematical theory. Beginning with basic definitions, properties and derivations of some basic equations of mathematical physics from basic principles, the book studies first order equations, classification of second order equations, and the one-dimensional wave equation. Two chapters are devoted to the separation of variables, whilst others concentrate on a wide range of topics including elliptic theory, Green's functions, variational and numerical methods. A rich collection of worked examples and exercises accompany the text, along with a large number of illustrations and graphs to provide insight into the numerical examples. Solutions to selected exercises are included for students whilst extended solution sets are available to lecturers from solutions@cambridge.org.
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Differential equations --- Equations differentielles --- Asymptotic theory. --- Théorie asymptotique --- 517.91 --- Ordinary differential equations: general theory --- 517.91 Ordinary differential equations: general theory --- Théorie asymptotique --- 517.91 Differential equations --- Asymptotic theory --- Numerical solutions --- Numerical solutions&delete&
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