Buch, Englisch, 1008 Seiten, Format (B × H): 189 mm x 246 mm, Gewicht: 2031 g
An Introduction for the Engineering, Physical, and Mathematical Sciences
Buch, Englisch, 1008 Seiten, Format (B × H): 189 mm x 246 mm, Gewicht: 2031 g
ISBN: 978-0-19-928201-2
Verlag: Oxford University Press
Mathematical concepts and theories underpin much of the physical sciences and engineering. Yet maths is a subject that many students find challenging, and even intimidating - despite it being so central to their field of study.
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.
Online Resources
The online resources feature the following materials for all users of the book:
· Figures from the book in electronic format, ready to download
· A downloadable solutions manual, featuring worked solutions to all end of chapter problems
· Mathematica-based programs, relating to the Projects featured at the end of the book
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
- 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
