Mathematical Techniques: An Introduction for the Engineering, Physical, and Math

The Nile on eBay   Mathematical Techniques by Dominic Jordan, Peter Smith

Mathematical Techniques provides a complete course in mathematics, covering all the essential topics with which a physical sciences or engineering student should be familiar. It introduces and builds on concepts in a progressive, carefully-layered way, and features over 2000 end of chapter problems, plus additional self-check questions.

FORMATPaperback LANGUAGEEnglish CONDITIONBrand New Publisher Description

Mathematical concepts and theories underpin much of the physical sciences and engineering. Yet maths is a subject that many students find challenging, and even intimidating - despite it being so central to their field of study. 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 breakingthe subject into small, modular chapters, the book introduces and builds on concepts in a progressive, carefully-layered way - always with an emphasis on how to use the power of maths to best effect, ratherthan on theoretical proofs of the maths presented. 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 build their confidence in the best way possible: by using the maths for themselves. Online Resource Centre The Online Resource Centre features the following materials for all users of thebook: · Figures from the book in electronic format, ready to download · A downloadable solutions manual, featuring worked solutions to all end of chapter problems · Mathematica-basedprograms, relating to the Projects featured at the end of the book

Author Biography

Dominic Jordan is formerly of the Mathematics Department, Keele University, UK.Peter Smith is Emeritus Professor in the School of Computing and Mathematics, Keele University, UK.

Table of Contents

PART 1. ELEMENTARY METHODS, DIFFERENTIATION, COMPLEX NUMBERS1: Standard functions and techniques2: Differentiation3: Further techniques for differentiation4: Applications of differentiation5: Taylor series and approximations6: Complex numbersPART 2. MATRIX AND VECTOR ALGEBRA7: Matrix algebra8: Determinants9: Elementary operations with vectors10: The scalar product11: Vector product12: Linear algebraic equations13: Eigenvalues and eigenvectorsPART 3. INTEGRATION AND DIFFERENTIAL EQUATIONS14: Antidifferentiation and area15: The definite and indefinite integral16: Applications involving the integral as a sum17: Systematic techniques for integration18: Unforced linear differential equations with constant coefficients19: Forced linear differential equations20: Harmonic functions and the harmonic oscillator21: Steady forced oscillations: phasors, impedance, transfer functions22: Graphical, numerical, and other aspects of first-order equations23: Nonlinear differential equations and the phase planePART 4. TRANSFORMS AND FOURIER SERIES24: The Laplace transform25: Laplace and z transforms: applications26: Fourier series27: Fourier transformsPART 5. MULTIVARIABLE CALCULUS28: Differentiation of functions of two variables29: Functions of two variables: geometry and formulae30: Chain rules, restricted maxima, coordinate systems31: Functions of any number of variables32: Double integration33: Line integrals34: Vector fields: divergence and curlPART 6. DISCRETE MATHEMATICS35: Sets36: Boolean algebra: logic gates and switching functions37: Graph theory and its applications38: Difference equationsPART 7. PROBABILITY AND STATISTICS39: Probability40: Random variables and probability distributions41: Descriptive statisticsPART 8. PROJECTS42: Applications projects using symbolic computingSelf-tests: selected answersAnswers to selected problemsAppendicesFurther readingIndex

Review

`Review from previous edition This textbook offers an accessible and comprehensive grounding in many of the mathematical techniques required in the early stages of an engineering or science degree and also for the routine methods needed by first and second year mathematics students.'Engineering Designer March/April 2003`There are also significant changes in content in the opening chapter, where the foundation material has been expanded usefully. The authors do not attempt to dodge theoretical hurdles. They are careful to explain many of the less intuitive properties of functions and to highlight generalisations without becoming over abstract.'Times Higher Education Supplement, November 2002`Thoroughly recommended.'Zentralblatt MATH, 993:2002

Promotional

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

Long Description

Mathematical concepts and theories underpin much of the physical sciences and engineering. Yet maths is a subject that many students find challenging, and even intimidating - despite it being so central to their field of study. 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 breakingthe subject into small, modular chapters, the book introduces and builds on concepts in a progressive, carefully-layered way - always with an emphasis on how to use the power of maths to best effect, ratherthan on theoretical proofs of the maths presented. 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 build their confidence in the best way possible: by using the maths for themselves. Online Resource Centre The Online Resource Centre features the following materials for all users of thebook: · Figures from the book in electronic format, ready to download · A downloadable solutions manual, featuring worked solutions to all end of chapter problems · Mathematica-basedprograms, relating to the Projects featured at the end of the book

Review Text

`Review from previous edition This textbook offers an accessible and comprehensive grounding in many of the mathematical techniques required in the early stages of an engineering or science degree and also for the routine methods needed by first and second year mathematics students.'Engineering Designer March/April 2003`There are also significant changes in content in the opening chapter, where the foundation material has been expanded usefully. The authors do not attempt to dodge theoretical hurdles. They are careful to explain many of the less intuitive properties of functions and to highlight generalisations without becoming over abstract.'Times Higher Education Supplement, November 2002`Thoroughly recommended.'Zentralblatt MATH, 993:2002

Review Quote

'Thoroughly recommended.'Zentralblatt MATH, 993:2002

Feature

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.

Details ISBN0199282013 Short Title MATHEMATICAL TECHNIQUES 4/E Language English Edition 4th ISBN-10 0199282013 ISBN-13 9780199282012 Media Book Format Paperback Year 2008 Imprint Oxford University Press Subtitle An Introduction for the Engineering, Physical, and Mathematical Sciences Place of Publication Oxford Country of Publication United Kingdom Replaces 9780199249725 DOI 10.1604/9780199282012 UK Release Date 2008-03-13 NZ Release Date 2008-03-13 Author Peter Smith Pages 1008 Publisher Oxford University Press Edition Description 4th Revised edition Publication Date 2008-03-13 DEWEY 510 Illustrations 500 figures Audience Undergraduate AU Release Date 2008-03-09 We've got this

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