Books in the Oxford Lecture Series in Mathematics & Its Applications series
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Filling the gap between introductory and encyclopedic treatments, this book provides rich and appealing material for a second course in combinatorial optimization. This book is suitable for graduate students as well as a reference for established researchers.
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This book provides a comprehensive introduction to the mathematical theory of nonlinear problems described by singular elliptic equations.
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Based on lecture notes from the Scuola Normale this book presents the main mathematical prerequisites for analysis in metric spaces. Supplemented with exercises of varying difficulty it is ideal for a graduate-level short course for applied mathematicians and engineers.
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The theory of homogenization replaces a real composite material with an imaginary homogeneous one, to describe the macroscopic properties of the composite using the properties of the microscopic structure. This work illustrates the relevant mathematics, logic and methodology with... examples.
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A rigorous mathematical description of the overall properties of fast-oscillating differential equations or integral functionals, which also includes an introduction to the theory of convergence and weak lower semicontinuous functionals. The text is volume number 12 in the OXFORD... LECTURE SERIES IN MATHEMATICS AND ITS APPLICATIONS.
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This text examines degree theory and some of its applications in analysis. Topics described include: degree theory for continuous functions; the multiplication theorem; Hopf's theorem; Brower's fixed point theorem; odd mappings; and Jordan's separation theorem.
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Provides an introduction to the mathematical theory of compressible flow, giving a comprehensive account of the field and all important results.
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Focusing on the mathematical theory of viscous compressible fluids, this work contains results in the field. It is aimed at research mathematicians, theoretical physicists, engineers, and graduate students. It aims to develop ideas and concepts of the mathematical theory of visco...us, compressible, and heat conducting fluids.
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Based on an established graduate course given at MIT that provides an introduction to the theory of the dynamical Yang-Baxter equation and its applications, which is an important area in representation theory and quantum groups. This book contains proofs and explicit calculations..., and is useful for graduate students of mathematics.
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Fractal geometrics can arise in many different ways mathematically. This book proposes notions of coherent geometric structure, asking what exactly is a fractal pattern ? A wide range of problems are dealt with, and examples given, which connect to other diverse areas of mathmati...cs.
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