Mathematical Techniques

An Introduction for the Engineering, Physical, and Mathematical Sciences

Price: 835.00 INR

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ISBN:

9780199560899

Publication date:

05/09/2008

Paperback

1008 pages

Price: 835.00 INR

We sell our titles through other companies
Disclaimer :You will be redirected to a third party website.The sole responsibility of supplies, condition of the product, availability of stock, date of delivery, mode of payment will be as promised by the said third party only. Prices and specifications may vary from the OUP India site.

ISBN:

9780199560899

Publication date:

05/09/2008

Paperback

1008 pages

Fourth Edition

Dominic Jordan & Peter Smith

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 mathematics to best effect, rather than on theoretical proofs of the mathematics 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 mathematics for themselves.

Rights:  World Rights

Fourth Edition

Dominic Jordan & Peter Smith

Description

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 mathematics to best effect, rather than on theoretical proofs of the mathematics 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 mathematics for themselves.

Fourth Edition

Dominic Jordan & Peter Smith

Table of contents

PART 1. ELEMENTARY METHODS, DIFFERENTIATION, COMPLEX NUMBERS
Chapter 1: Standard functions and techniques
Chapter 2: Differentiation
Chapter 3: Further techniques for differentiation
Chapter 4: Applications of differentiation
Chapter 5: Taylor series and approximations
Chapter 6: Complex numbers
PART 2. MATRIX AND VECTOR ALGEBRA
Chapter 7: Matrix algebra
Chapter 8: Determinants
Chapter 9: Elementary operations with vectors
Chapter 10: The scalar product
Chapter 11: Vector product
Chapter 12: Linear algebraic equations
Chapter 13: Eigenvalues and eigenvectors
PART 3. INTEGRATION AND DIFFERENTIAL EQUATIONS
Chapter 14: Antidifferentiation and area
Chapter 15: The definite and indefinite integral
Chapter 16: Applications involving the integral as a sum
Chapter 17: Systematic techniques for integration
Chapter 18: Unforced linear differential equations with constant coefficients
Chapter 19: Forced linear differential equations
Chapter 20: Harmonic functions and the harmonic oscillator
Chapter 21: Steady forced oscillations: phasors, impedance, transfer functions
Chapter 22: Graphical, numerical, and other aspects of first-order equations
Chapter 23: Nonlinear differential equations and the phase plane
PART 4. TRANSFORMS AND FOURIER SERIES
Chapter 24: The Laplace transform
Chapter 25: Laplace and z transforms: applications
Chapter 26: Fourier series
Chapter 27: Fourier transforms
PART 5. MULTIVARIABLE CALCULUS
Chapter 28: Differentiation of functions of two variables
Chapter 29: Functions of two variables: geometry and formulae
Chapter 30: Chain rules, restricted maxima, coordinate systems
Chapter 31: Functions of any number of variables
Chapter 32: Double integration
Chapter 33: Line integrals
Chapter 34: Vector fields: divergence and curl
PART 6. DISCRETE MATHEMATICS
Chapter 35: Sets
Chapter 36: Boolean algebra: logic gates and switching functions
Chapter 37: Graph theory and its applications
Chapter 38: Difference equations
PART 7. PROBABILITY AND STATISTICS
Chapter 39: Probability
Chapter 40: Random variables and probability distributions
Chapter 41: Descriptive statistics
PART 8. PROJECTS
Chapter 42: Applications projects using symbolic computing
Self-tests: ed answers
Answers to ed problems
Appendices
Further reading
Index

Fourth Edition

Dominic Jordan & Peter Smith

Features

  • Short, modular chapters make the book flexible enough to be used on a wide variety of courses.
  • Over 500 worked examples show how the techniques are applied and offer valuable guidance for the reader when tackling the problems.
  • Self-check questions and over 2000 end of chapter problems provide extensive opportunities for students to actively master the concepts presented.
  • Emphasis on methods and applications keeps students moving through the subject without being slowed down by detailed mathematical proofs.
  • A series of Projects at the end of the book encourage student to use mathematical software to develop further their understanding of the concepts covered.
  • The Online Resource Centre features additional resources for lecturers and students, to enhance the value of the book as a teaching and learning tool.

Fourth Edition

Dominic Jordan & Peter Smith

Fourth Edition

Dominic Jordan & Peter Smith

Description

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 mathematics to best effect, rather than on theoretical proofs of the mathematics 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 mathematics for themselves.

Read More

Table of contents

PART 1. ELEMENTARY METHODS, DIFFERENTIATION, COMPLEX NUMBERS
Chapter 1: Standard functions and techniques
Chapter 2: Differentiation
Chapter 3: Further techniques for differentiation
Chapter 4: Applications of differentiation
Chapter 5: Taylor series and approximations
Chapter 6: Complex numbers
PART 2. MATRIX AND VECTOR ALGEBRA
Chapter 7: Matrix algebra
Chapter 8: Determinants
Chapter 9: Elementary operations with vectors
Chapter 10: The scalar product
Chapter 11: Vector product
Chapter 12: Linear algebraic equations
Chapter 13: Eigenvalues and eigenvectors
PART 3. INTEGRATION AND DIFFERENTIAL EQUATIONS
Chapter 14: Antidifferentiation and area
Chapter 15: The definite and indefinite integral
Chapter 16: Applications involving the integral as a sum
Chapter 17: Systematic techniques for integration
Chapter 18: Unforced linear differential equations with constant coefficients
Chapter 19: Forced linear differential equations
Chapter 20: Harmonic functions and the harmonic oscillator
Chapter 21: Steady forced oscillations: phasors, impedance, transfer functions
Chapter 22: Graphical, numerical, and other aspects of first-order equations
Chapter 23: Nonlinear differential equations and the phase plane
PART 4. TRANSFORMS AND FOURIER SERIES
Chapter 24: The Laplace transform
Chapter 25: Laplace and z transforms: applications
Chapter 26: Fourier series
Chapter 27: Fourier transforms
PART 5. MULTIVARIABLE CALCULUS
Chapter 28: Differentiation of functions of two variables
Chapter 29: Functions of two variables: geometry and formulae
Chapter 30: Chain rules, restricted maxima, coordinate systems
Chapter 31: Functions of any number of variables
Chapter 32: Double integration
Chapter 33: Line integrals
Chapter 34: Vector fields: divergence and curl
PART 6. DISCRETE MATHEMATICS
Chapter 35: Sets
Chapter 36: Boolean algebra: logic gates and switching functions
Chapter 37: Graph theory and its applications
Chapter 38: Difference equations
PART 7. PROBABILITY AND STATISTICS
Chapter 39: Probability
Chapter 40: Random variables and probability distributions
Chapter 41: Descriptive statistics
PART 8. PROJECTS
Chapter 42: Applications projects using symbolic computing
Self-tests: ed answers
Answers to ed problems
Appendices
Further reading
Index

Read More