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Cover

Mathematical Techniques

An Introduction for the Engineering, Physical, and Mathematical Sciences

Fourth Edition

Dominic Jordan and Peter Smith

Publication Date - 29 May 2008

ISBN: 9780199282012

1,008 pages
Paperback

Using a layered, modular pedagogy, Mathematical Techniques covers all math fundamentals necessary for pursuing study in the physical sciences and engineering.

Description

Mathematical concepts and theories underpin engineering and many of the physical sciences. Yet many engineering and science students find math challenging and even intimidating.

The fourth edition of Mathematical Techniques provides a complete course in mathematics, covering all the essential topics with which a physical sciences or engineering student should be familiar.

By breaking the subject into small, modular chapters, the book introduces and builds on concepts in a progressive, carefully-layered way - always with an emphasis on using math to the best effect, rather than relying on theoretical proofs.

With a huge array of end of chapter problems and new self-check questions, the fourth edition of Mathematical Techniques provides extensive opportunities for students to exercise and enhance their mathematical knowledge and skills.

Distinctive Features
- Over 500 worked out examples offer the reader valuable guidance when tackling problems.
- Self-check questions and over 2,000 end of chapter problems provide extensive opportunities for students to actively master the concepts presented.
- A series of projects at the end of the book encourage students to use mathematical software to further their understanding.
- An Online Resource Centre features additional resources for lecturers and students, including figures from the book in electronic format, ready to download; a downloadable solutions manual featuring worked solutions to all end of chapter problems (password protected); and mathematical-based programs relating to the projects featured at the end of the book .

New to this Edition

  • - New introductions at the beginning of each chapter explaining the chapter's content, aim, and context.
  • - New self-check questions at the end of most sections.
  • - A new appendix covering one-dimensional analysis and units.
  • - New topics including: conic sections, complex numbers, linear dependence, nonlinear differential equations, stationary values, infinite integrals, vector calculus, and difference equations.

Features

  • Short, modular chapters make the book flexible enough to be used on a wide variety of courses.
  • Over 500 worked examples show how the techniques are applied and offer valuable guidance for the reader when tackling the problems.
  • Self-check questions and over 2000 end-of-chapter problems provide extensive opportunities for students to actively master the concepts presented.
  • Emphasis on methods and applications keeps students moving through the subject without being slowed down by detailed mathematical proofs.
  • A series of Projects at the end of the book encourage student to use mathematical software to develop further their understanding of the concepts covered.
  • The Online Resource Centre features additional resources for lecturers and students, to enhance the value of the book as a teaching and learning tool.

About the Author(s)

Dominic Jordan is formerly a professor in the Mathematics Department at Keele University, UK.

Peter Smith is an Emeritus Professor in the School of Computing and Mathematics at Keele University, UK.

Previous Publication Date(s)

August 2002
November 1997
July 1994

Table of Contents

    1. Elementary Methods, Differentiation, Complex Numbers
    2. Matrix Algebra and Vectors
    3. Integration and Differential Equations
    4. Transforms and Fourier Series
    5. Multivariable Calculus
    6. Discrete Mathematics
    7. Probability and Statistics
    8. Projects Using Symbolic Computing

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