Mathematical Techniques

by Peter Smith, Dominic Jordan

Mathematical Techniques provides a complete course in mathematics, covering all the essential topics with which a physical sciences or engineering student should be familiar. By breaking the subject into small, modular chapters, the book introduces and builds on concepts in a progressive, carefully-layered way - always with an emphasis on how to use the power of maths to best effect, rather than on theoretical proofs of the maths presented. 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 build their confidence in the best way possible: by using the maths for themselves. About The Author: Dominic Jordan Mathematics department, Keele University Peter Smith Mathematics department, Keele University Table Of Contents: PART 1. ELEMENTARY METHODS, DIFFERENTIATION, COMPLEX NUMBERS 1. Standard functions and techniques 2. Differentiation 3. Further techniques for differentiation 4. Applications of differentiation 5. Taylor series and approximations 6. Complex numbers PART 2. MATRIX AND VECTOR ALGEBRA 7. Matrix algebra 8. Determinants 9. Elementary operations with vectors 10. The scalar product 11. Vector product 12. Linear algebraic equations 13. Eigenvalues and eigenvectors PART 3. INTEGRATION AND DIFFERENTIAL EQUATIONS 14. Antidifferentiation and area 15. The definite and indefinite integral 16. Applications involving the integral as a sum 17. Systematic techniques for integration 18. Unforced linear differential equations with constant coefficients 19. Forced linear differential equations 20. Harmonic functions and the harmonic oscillator 21. Steady forced oscillations: phasors, impedance, transfer functions 22. Graphical, numerical, and other aspects of first-order equations 23. Nonlinear differential equations and the phase plane PART 4. TRANSFORMS AND FOURIER SERIES 24. The Laplace transform 25. Laplace and z transforms: applications 26. Fourier s

1008 pages, Paperback

Published September 5, 2008

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