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Mathematical Techniques: An Introduction for the Engineering, Physical, and Mathematical Sciences(English)

Mathematical Techniques: An Introduction for the Engineering, Physical, and Mathematical Sciences(English)

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About the Book

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

Table of Contents:
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


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Product Details
  • ISBN-13: 9780199282012
  • Publisher: Oxford University Press
  • Publisher Imprint: Oxford University Press
  • Depth: 51
  • Height: 246 mm
  • No of Pages: 1008
  • Series Title: English
  • Sub Title: An Introduction for the Engineering, Physical, and Mathematical Sciences
  • Width: 190 mm
  • ISBN-10: 0199282013
  • Publisher Date: 13 Mar 2008
  • Binding: Paperback
  • Edition: Revised edition
  • Language: English
  • Returnable: Y
  • Spine Width: 47 mm
  • Weight: 2122 gr


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