Mathematical Techniques
An Introduction for the Engineering, Physical, and Mathematical Sciences
(Sprache: Englisch)
Mathematical Techniques provides a complete course in mathematics, covering all the essential topics with which a physical sciences or engineering student should be familiar. It introduces and builds on concepts in a progressive, carefully-layered way, and...
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Mathematical Techniques provides a complete course in mathematics, covering all the essential topics with which a physical sciences or engineering student should be familiar. It introduces and builds on concepts in a progressive, carefully-layered way, and features over 2000 end of chapter problems, plus additional self-check questions.
Inhaltsverzeichnis zu „Mathematical Techniques “
- 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
... mehr
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
... weniger
Autoren-Porträt von Dominic W. Jordan, Peter Smith
Dominic Jordan is formerly of the Mathematics Department, Keele University, UK.Peter Smith is Emeritus Professor in the School of Computing and Mathematics, Keele University, UK.
Bibliographische Angaben
- Autoren: Dominic W. Jordan , Peter Smith
- 2008, 4th Revised edition, 864 Seiten, mit Abbildungen, Maße: 18,9 x 24,6 cm, Kartoniert (TB), Englisch
- Verlag: Oxford University Press
- ISBN-10: 0199282013
- ISBN-13: 9780199282012
Sprache:
Englisch
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