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Partial differential equations are used in mathematical models of a huge range of real-world phenomena, from electromagnetism to financial markets. This new edition of Applied PDEs contains many new sections and exercises including: American options, transform methods, free surface flows, linear elasticity and complex characteristics .

Thoroughly updated and expanded 4th edition of the classic text, including numerous worked examples, diagrams and exercises. An ideal resource for students and lecturers in engineering, mathematics and the sciences it is published alongside a separate Problems and Solutions Sourcebook containing over 500 problems and fully-worked solutions.

This second edition of Nonlinear Science covers new theoretical concepts and empirical results in molecular dynamics, solid-state physics, neuroscience, fluid dynamics, and biophysics. With over 350 problems, including hints and solutions, this is an invaluable resource for graduate students and researchers in the applied sciences.

This text is aimed at graduate students in mathematics, physics, engineering, economics, finance, and the biosciences that are interested in using Monte-Carlo methods for the resolution of real-life scenarios.

A textbook demonstrating the power of mathematics in solving practical, scientific, and technical problems through mathematical modelling techniques.

An ideal companion to the student textbook Nonlinear Ordinary Differential Equations 4th Edition (OUP, 2007) this text contains over 500 problems and solutions in nonlinear differential equations, many of which can be adapted for independent coursework and self-study.

The finite element method is a numerical method widely used in engineering. This reference text is the first to discuss finite element methods for structures with large stochastic variations. Graduate students, lecturers, and researchers in mathematics, engineering, and scientific computation will find this a very useful reference

A practical student guide to scientific computing on parallel computers, based on the authors' lectures at ETH Zurich. Aimed at advanced undergraduate and graduate students in applied mathematics, computer science, and engineering, the subjects covered include linear algebra, fast Fourier transform, and Monte-Carlo simulations.

Starting from a clear, concise introduction, the powerful finite element and boundary element methods of engineering are developed for application to quantum mechanics. The reader is led through illustrative examples displaying the strengths of these methods using applications to fundamental quantum mechanical problems and to the design/simulation of quantum nanoscale devices.

Presents an account of the development of laminar boundary layer theory as a historical study. This book includes a description of the application of the ideas of triple deck theory to flow past a plate, to separation from a cylinder and to flow in channels. It is intended to provide a graduate level teaching resource.

A graduate level text based partly on lectures in geometry, mechanics, and symmetry given at Imperial College London, this book links traditional classical mechanics texts and advanced modern mathematical treatments of the subject.