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Mathematical Techniques: An Introduction for the Engineering, Physical, and Mathematical Sciences, Fourth Edition
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| Publisher: | Oxford University Press (New York, NY) |
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Elementary Methods, Differentiation, Complex Numbers
Standard Functions and Techniques | Differentiation | Further Techniques for Differentiation | Applications of Differentiation | Taylor Series and Approximations | Complex Numbers
Matrix and Vector Algebra
Matrix Algebra | Determinants | Elementary Operations with Vectors | The Scalar Product | Vector Product | Linear Algebraic Equations | Eigenvalues and Eigenvectors
Integration and Differential Equations
Antidifferentiation and Area | The Definite and Indefinite Integral | Applications Involving the Integral as a Sum | Systematic Techniques for Integration | Unforced Linear Differential Equations with Constant Coefficients | Forced Linear Differential Equations | Harmonic Functions and the Harmonic Oscillator | Steady Forced Oscillations: Phasors, Impedance, Transfer Functions | Graphical, Numerical, and Other Aspects of First-Order Equations | Nonlinear Differential Equations and the Phase Plane
Transforms and Fourier Series
The Laplace Transform | Laplace and z Transforms: Applications | Fourier Series | Fourier Transforms
Multivariable Calculus
Differentiation of Functions of Two Variables | Functions of Two Variables: Geometry and Formulae | Chain Rules, Restricted Maxima, Coordinate Systems | Functions of Any Number of Variables | Double Integration | Line Integrals | Vector Fields: Divergence and Curl
Discrete Mathematics
Sets | Boolean Algebra: Logic Gates and Switching Functions | Graph Theory and Its Applications | Difference Equations
Probability and Statistics
Probability | Random Variables and Probability Distributions | Descriptive Statistics
Projects
Applications Projects using Symbolic Computing
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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.
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.
A series of over 120 projects at the end of the book encourage students to use Mathematica to further their understanding, and downloadable notebooks are available online. Written for the Mathematica 5 series, these notebooks are largely compatible with Mathematica 6.
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approximations, Boolean algebra, complex numbers, curves, ordinary derivatives, determinants, difference equations, differential equations, diffraction, double integration, Fourier series, Fourier transforms, functions of one or more variable, differentiation, graph theory, networks, integrals, Laplace transforms, line integrals, matrices, oscillations, permutations, phasors, probability distributions, sets, scalar product, sample space, signal flow graphs, statistics, stationary points, vectors, wave, z-transform
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http://www.oup.com/uk/orc/bin/9780199282012
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