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

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

by D. W. Jordan, P. Smith, P. Smith
     
 


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… See more details below

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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Product Details

ISBN-13:
9780198564614
Publisher:
Oxford University Press, USA
Publication date:
01/28/1997
Edition description:
Older Edition
Pages:
808
Product dimensions:
7.40(w) x 9.60(h) x 1.80(d)

Table of Contents

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

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