Description |
xvi, 659 pages : illustrations ; 26 cm |
Contents |
1. Standard functions and techniques -- 2. Differentiation -- 3. Further techniques for differentiation -- 4. Applications of differentiation -- 5. Taylor series and approximations -- 6. Complex numbers -- 7. Matrix algebra -- 8. Determinants -- 9. Vectors in two and three dimensions -- 10. Linear equations -- 11. Eigenvalues and eigenvectors -- 12. Antidifferentiation and area -- 13. The definite and indefinite integral -- 14. Applications involving the integral as a sum -- 15. Systematic techniques for integration -- 16. Unforced linear differential equations with constant coefficients -- 17. Forced linear differential equations -- 18. Harmonic functions and the harmonic oscillator -- 19. Steady forced oscillations: phasors, impedance, transfer functions -- 20. Graphical, numerical and other aspects of first-order equations -- 21. Introduction to the phase plane -- 22. The Laplace transform -- 23. Applications of the Laplace transform -- 24. Fourier series |
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25. Differentiation of functions of two variables -- 26. Functions of two variables: geometry and formulae -- 27. Chain rules, restricted maxima, coordinate systems -- 28. Functions of any number of variables -- 29. Double integration -- 30. Line integrals -- 31. Sets -- 32. Boolean algebra: logic gates and switching functions -- 33. Graph theory: circuit analysis and signal flow -- 34. Difference equations -- 35. Applications projects using symbolic computing -- App. A Some algebraical rules -- App. B Trigonometric formulae -- App. C Areas and volumes -- App. D A table of derivatives -- App. E A table of integrals -- App. F A table of Laplace transforms and inverses -- App. G Answers to selected problems |
Analysis |
Mathematics |
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Mathematics |
Notes |
Includes index |
Subject |
Mathematical analysis.
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Author |
Smith, Peter, 1935-
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LC no. |
94015961 |
ISBN |
0198562675 (paperback) |
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0198562683 |
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