000			02614nam a2200229 4500
008			160616s1997 000 0
020			_a0198564627 (HB)
041			_aeng
080			_a51 _bJOR
100			_aJordan, D.W
245			_aMathematical Techniques _bAn introduction for the Engineering, Physical, and Mathematical Sciences
250			_a2nd
260			_aOxford _bOxford University Press _c1997
300			_axviii,788 p.
505			_aPart I: Elementary methods, differentiation, complex numbers. Standard functions and techniques. Differentiation. Further techniques for differentiation. Applications of differentiation. Taylor series and approximations. Complex numbers. Part II: Matrix algebra and vectors. Matrix algebra. Determinants. Elementary operations with vectors *. The scalar product *. Vector product; derivatives of vectors *. Linear equations. Eigenvalues and eigenvectors. Part III: 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. Introduction to the phase plane. Part IV: Transforms and Fourier series. The Laplace transform. Applications of the Laplace transform, the Z-transform *. Fourier series and Fourier transforms *. Part V: 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 *. Part VI: Discrete mathematics. Sets. Boolean algebra: logic gates and switching functions. Graph theory and its applications. Difference equations. Part VIII: Probability and statistics. Probability *. Random variables and probability distributions *. Descriptive statistics *. Part VIII: Projects. Applications projects using symbolic computing. Answers to selected problems. Appendix. Index. * Completely new for this second edition
520			_aThis work is intended for beginning engineering and science students (1st year) doing "maths for scientists" courses.
650			_aMathematical analysis
650			_aMathématiques Problèmes et exercices
690			_aMathematics
700			_aSmith, P
942			_cBK
999			_c14792 _d14792