Mathematics for Engineers, 5th edition

Published by Pearson (January 13, 2020) © 2020

  • Anthony Croft Loughborough University, UK
  • Robert Davison
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Mathematics for Engineers introduces Engineering students to Maths, building up right from the basics. Examples and questions throughout help students to learn through practice and applications sections labelled by engineering stream encourage an applied and fuller understanding.
Understanding key mathematical concepts and applying them successfully to solve problems are vital skills that all engineering students must acquire. Mathematics for Engineers teaches, develops and nurtures those skills. Practical, informal and accessible, it begins with the foundations and gradually builds upon this knowledge as it introduces more complex concepts to cover all requirements for a first year engineering maths course, together with introductory material for even more advanced topics.

Features

  • Applications of mathematics drawn from a wide range of engineering areas: aeronautical, automotive, chemical, civil, computer, electrical and electronic, manufacturing, materials, mechanical, production, reliability, and systems engineering.
  • Hundreds of interactive examples are provided in the context of various engineering disciplines, so you are able to both engage with the problems and also see the relevance of the maths to your wider studies.
  • A wealth of practice and revision exercises with solutions help test your knowledge.
  • Key points and important results are highlighted throughout.
  • Computer and calculator examples and exercises are incorporated in relevant sections.
  • Specimen examination papers give further opportunity to practise.
  • A foundation section gives you a firm base in arithmetic, the building block of many high-level mathematical topics.

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  • 1 Arithmetic
  • 2 Fractions
  • 3 Decimal numbers
  • 4 Percentage and ratio
  • 5 Basic algebra
  • 6 Functions and mathematical models
  • 7 Polynomial equations, inequalities, partial fractions and proportionality
  • 8 Logarithms and exponentials
  • 9 Trigonometry
  • 10 Further trigonometry
  • 11 Complex numbers
  • 12 Matrices and determinants
  • 13 Using matrices and determinants to solve equations
  • 14 Vectors
  • 15 Differentiation
  • 16 Techniques and applications of differentiation
  • 17 Integration
  • 18 Applications of integration
  • 19 Sequences and series
  • 20 Differential equations
  • 21 Functions of more than one variable and partial differentiation
  • 22 The Laplace transform
  • 23 Statistics and probability
  • 24 An introduction to Fourier series and the Fourier transform
  • Typical examination papers
  • Appendix 1: SI units and prefixes
  • Index

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