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Description
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. Contents 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 Additional Resources http://www.oup.com/uk/orc/bin/9780199282012 Related Topics |
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