Mathematical Techniques: An Introduction for the Engineering, Physical and Mathematical Sciences / Edition 2

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1997 Trade paperback 2nd ed. New. No dust jacket as issued. Trade paperback (US). Glued binding. 808 p. Contains: Illustrations. Audience: General/trade. *****PLEASE NOTE: This ... item is shipping from an authorized seller in Europe. In the event that a return is necessary, you will be able to return your item within the US. To learn more about our European sellers and policies see the BookQuest FAQ section***** Read more Show Less

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Overview


Undergraduate students of engineering, science, and mathematics must quickly master a variety of mathematical methods, although many of these students do not have strong mathematics backgrounds. In this well-received book, now in its second edition, the authors use their extensive experience with diverse groups of students to provide an accessible introduction to mathematical techniques. They start at the elementary level and proceed to cover the full range of topics typically encountered by beginning students:

· Analytic geometry, vector algebra, vector fields (div and curl), differentiation, and integration.

· Complex numbers, matrix operations, and linear systems of equations.

· Differential equations and first-order linear systems, functions of more than one variable, double integrals, and line integrals.

· Laplace transforms, Fourier series and Fourier transforms.

· Probability and statistics.
Incorporating many suggestions from readers, this new edition has expanded discussions of vectors and new chapters on Fourier series and on probability and statistics. The emphasis throughout is on understanding concepts through well-chosen examples, and the book includes over 500 fully worked problems. As far as is possible chapter topics are self-contained so that a student only needing to master certain techniques can omit others without trouble. The generously illustrated text also includes simple numerical processes which lead to examples and projects for computation (particularly with Mathematica), and contains a large number of exercises (with answers) to reinforce the material. These features combine to make this book an ideal starting point for students entering the sciences.

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Editorial Reviews

From the Publisher

Reviews of first edition: "An introduction covering all the standard techniques....[L]arge and friendly format."--New Scientist
Just the thing to become the recommended text for freshman courses in mathematics." --The Times Higher Education Supplement

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Product Details

  • ISBN-13: 9780198564614
  • Publisher: Oxford University Press, USA
  • Publication date: 1/28/1997
  • Edition description: Older Edition
  • Edition number: 2
  • Pages: 808
  • Product dimensions: 7.40 (w) x 9.60 (h) x 1.80 (d)

Meet the Author

Long-standing members of Mathematics Department at Keele. Keele has a long and honourable effort to take students with non-conventional school and other qualifications on science courses. Hence the authors have a wealth of experience teaching the sort of student now entering other universities to attempt science degrees.

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Table of Contents

1 Standard functions and techniques
2 Differentiation
3 Further techniques for differentiation
4 Applications of differentiation
5 Taylor series and approximations
6 Complex numbers
7 Matrix algebra
8 Determinants
9 Elementary operations with vectors
10 The scalar product
11 Vector product and derivatives of vectors
12 Linear equations
13 Eigenvalues and eigenvectors
14 Antidifferentiation and area
15 The definite and indefinite integral
16 Applications involving the integral as a sum
17 Systematic techniques for integration
18 Unforced linear differential equations with constant coefficients
19 Forced linear differential equations
20 Harmonic functions and the harmonic oscillator
21 Steady forced oscillations: phasors, impedance, transfer functions
22 Graphical, numerical and other aspects of first-order equations
23 Nonlinear differential equations and the phase plane
24 The Laplace transform
25 Applications of the Laplace transform
26 Fourier series and Fourier transforms
27 Differentiation of functions of two variables
28 Functions of two variables: geometry and formulae
29 Chain rules, restricted maxima, coordinate systems
30 Functions of any number of variables
31 Double integration
32 Line integrals
33 Vector fields: divergence and curl
34 Sets
35 Boolean algebra: logic gates and switching functions
36 Graph theory and its applications
37 Difference equations
38 Probability
39 Random variables and probability distributions
40 Descriptive statistics
41 Applications projects using symbolic computing
Answers to selected problems
App. A Some algebraical rules
App. B Trigonometric formulae
App. C Areas and volumes
App. D A table of derivatives
App. E A table of integrals
App. F A table of Laplace transforms, inverses and general rules
App. G A table of Fourier transforms and general rules
App. H Probability distributions and tables
Index
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