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Introduction to the Foundations of Applied Mathematics

By Mark H. Holmes

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About this textbook

* Establishes the mathematical ideas underlying model development independently of a specific application

* Includes a wide spectrum of exercises and detailed illustrations that significantly enrich the material

* Written by a well known author with previous successful books

The objective of this textbook is the construction, analysis, and interpretation of mathematical models to help us understand the world we live in. Rather than follow a case study approach it develops the mathematical and physical ideas that are fundamental in understanding contemporary problems in science and engineering. Science evolves, and this means that the problems of current interest continually change.

What does not change as quickly is the approach used to derive the relevant mathematical models, and the methods used to analyze the models. Consequently, this book is written in such a way as to establish the mathematical ideas underlying model development independently of a specific application. This does not mean applications are not considered, they are, and connections with experiment are a staple of this book.

The book, as well as the individual chapters, is written in such a way that the material becomes more sophisticated as you progress. This provides some flexibility in how the book is used, allowing consideration for the breadth and depth of the material covered.

Moreover, there are a wide spectrum of exercises and detailed illustrations that significantly enrich the material. Students and researchers interested in mathematical modelling in mathematics, physics, engineering and the applied sciences will find this text useful.

Written for:

Senior level undergraduates, graduates

Introduction to the Foundations of Applied Mathematics

Introduction to the Foundations of Applied Mathematics

Series: Texts in Applied Mathematics , Vol. 56

Holmes, Mark H.

2009, XIV, 470 p., Hardcover

ISBN: 978-0-387-87749-5

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Usually dispatched between 3 to 5 business days

59,95 €

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About this textbook

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Table of contents

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Sample pages

Table of contents

Dimensional Analysis.-Perturbation Methods.- Kinetics.-Diffusion.-Traffic Flow.-Continuum Mechanics: One Spatial Dimension.-Elastic and Viscoelastic Materials.- Continuum Mechanics: Three Spatial Dimensions.- Fluids.- Taylor's Theorem.- Fourier Analysis.- Stochastic Differential Equations.- Identities.- Equations for a Newtonian Fluid.- References.- Index.

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