Books in the Oxford Lecture Series in Mathematics & Its Applications series
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This title in the area of non-integrable Hamiltonian partial differential equations, uses the approach of analysis and geometry rather than algebra to study the equations. The book should be a useful source of information for postgraduate mathematics students and researchers work...ing in analysis as well as for theoretical physicists.
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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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This book provides a comprehensive introduction to the mathematical theory of nonlinear problems described by singular elliptic equations.
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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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Phylogenetic (evolutionary) trees and networks are widely used throughout evolutionary biology, epidemiology, and ecology to infer the historical relationships between species through inherited characteristics. This book discusses the mathematics that underlies the reconstruction... and analysis of these phylogenetic trees.
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A second part of volume number 10 in the OXFORD LECTURE SERIES IN MATHEMATICS AND ITS APPLICATIONS, which describes compressible fluids-mechanics models and deals with problems associated with the compressible Navier-Stokes equations.
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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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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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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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Part of the OXFORD LECTURE SERIES IN MATHEMATICS AND ITS APPLICATIONS series, a comprehensive and straightforward introduction to the basic methods of designing efficient parallel algorithms for graph matching problems. Appropriate for students at undergraduate level.
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