Mathematical concepts and theories underpin engineering and many of the physical sciences. Yet many engineering and science students find math challenging and even intimidating.
The fourth edition of 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 using math to the best effect, rather than relying on theoretical proofs.
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 exercise and enhance their mathematical knowledge and skills.
- Over 500 worked out examples offer the reader valuable guidance when tackling problems.
- Self-check questions and over 2,000 end of chapter problems provide extensive opportunities for students to actively master the concepts presented.
- A series of projects at the end of the book encourage students to use mathematical software to further their understanding.
- An Online Resource Centre features additional resources for lecturers and students, including figures from the book in electronic format, ready to download; a downloadable solutions manual featuring worked solutions to all end of chapter problems (password protected); and mathematical-based programs relating to the projects featured at the end of the book .
`Review from previous edition This textbook offers an accessible and comprehensive grounding in many of the mathematical techniques required in the early stages of an engineering or science degree and also for the routine methods needed by first and second year mathematics students.
Engineering Designer March/April 2003
`There are also significant changes in content in the opening chapter, where the foundation material has been expanded usefully. The authors do not attempt to dodge theoretical hurdles. They are careful to explain many of the less intuitive properties of functions and to highlight generalisations without becoming over abstract.
Times Higher Education Supplement, November 2002
Zentralblatt MATH, 993:2002
PART 1. ELEMENTARY METHODS, DIFFERENTIATION, COMPLEX NUMBERS
1: Standard functions and techniques
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
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
36: Boolean algebra: logic gates and switching functions
37: Graph theory and its applications
38: Difference equations
PART 7. PROBABILITY AND STATISTICS
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
Tertiary; University or College
Number Of Pages: 1008
Published: 13th March 2008
Publisher: Oxford University Press
Country of Publication: GB
Dimensions (cm): 24.77 x 19.05
Weight (kg): 2.12
Edition Number: 4
Edition Type: Revised