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Engineering Mathematics is the unparalleled undergraduate textbook for students of electrical, electronic, communications and systems engineering. Tried and tested over many years, this widely used textbook is now in its 5th edition, having been fully updated and revised. This new edition includes an even greater emphasis on the application of mathematics within a range of engineering contexts. It features detailed explanation of why a technique is important to engineers. In addition, it provides essential guidance in how to use mathematics to solve engineering problems. This approach ensures a deep and practical understanding of the role of mathematics in modern engineering.
Review of algebraic techniques
Engineering functions
The trigonometric functions
Coordinate systems
Discrete mathematics
Sequences and series
Vectors
Matrix algebra
Complex numbers
Dierentiation
Techniques of dierentiation
Applications of dierentiation
Integration
Techniques of integration
Applications of integration
Further topics in integration
Numerical integration
Taylor polynomials, Taylor series and Maclaurin series
Ordinary dierential equations I
Ordinary dierential equations II
The Laplace transform
Dierence equations and the z transform
Fourier series
The Fourier transform
Functions of several variables
Vector calculus
Line integrals and multiple integrals
Probability
Statistics and probability distributions
Appendixes
Representing a continuous function and a sequence as a sum of weighted impulses
The Greek alphabet