Jordan, D.W
Mathematical Techniques An introduction for the Engineering, Physical, and Mathematical Sciences - 2nd - Oxford Oxford University Press 1997 - xviii,788 p.
Part 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
This work is intended for beginning engineering and science students (1st year) doing "maths for scientists" courses.
0198564627 (HB)
Mathematical analysis
Mathématiques Problèmes et exercices
51 / JOR
Mathematical Techniques An introduction for the Engineering, Physical, and Mathematical Sciences - 2nd - Oxford Oxford University Press 1997 - xviii,788 p.
Part 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
This work is intended for beginning engineering and science students (1st year) doing "maths for scientists" courses.
0198564627 (HB)
Mathematical analysis
Mathématiques Problèmes et exercices
51 / JOR