








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












Publisher:  Oxford University Press (New York, NY) 
  






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 FirstOrder 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






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 selfcheck 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.












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, ztransform






http://www.oup.com/uk/orc/bin/9780199282012







   
 
