deepa08
Well-Known Member
MATHEMATICAL TECHNIQUES Author(s) : Dominic Jordan, Peter Smith - Solution Manual
Oxford University Press
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.
Each chapter opens with a new introduction, which explains the content and aim of the chapter, and places it in context for the student
The whole text has been reviewed with an eye on increasing clarity
New self-check questions appear at the end of most sections to augment the end of chapter problems, giving students an additional opportunity to check their understanding
A new appendix covers one-dimensional analysis and units
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 series
27. Fourier transforms
PART 5. MULTIVARIABLE CALCULUS
28. Differentiation of functions of two variables
29. Functions of two variables: geometry and formulae
30. Chain rules, restricted maxima, coordinate systems
31. Functions of any number of variables
32. Double integration
33. Line integrals
34. Vector fields: divergence and curl
PART 6. DISCRETE MATHEMATICS
35. Sets
36. Boolean algebra: logic gates and switching functions
37. Graph theory and its applications
38. Difference equations
PART 7. PROBABILITY AND STATISTICS
39. Probability
40. Random variables and probability distributions
41. Descriptive statistics
PART 8. PROJECTS
42. Applications projects using symbolic computing
Self-tests: selected answers
Answers to selected problems
Appendices
Further reading
Index
DOWNLOAD From Attachments
