# Mathematics for Engineers, 5th edition

Published by Pearson (February 5, 2019) Â© 2019

**Anthony Croft**Loughborough University, UK**Robert Davison**

## eTextbook

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## MyLab

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**A fundamental source of knowledge of key mathematical concepts for engineers in one textbook.**

**Mathematics for Engineers,** 5^{th} edition covers all requirements for a first-year Engineering Maths course, together with introductory material for even more advanced topics.

The latest edition combines theory with interactive examples, encouraging you to participate actively in the learning process and perform the calculations to work through them.

Along with examples and applications to cement your learning, this is the ultimate textbook that will offer you the tools to develop vital mathematical skills for your profession.

**This edition includes a Companion Website. Pair this text with MyLab ^{Â®} Math Global**.

### Hallmark Features of this title

#### A wide range of interactive examples and applications help your students practice and cement their knowledge.

- Applications of Mathematics, demonstrate examples from a wide range of engineering areas, such as aeronautical, automotive, and systems engineering.
- Hundreds of interactive examples in various disciplines will help your students engage actively, incorporating computer and calculator examples.

#### A book with a structure that allows your students to practice and study key points in the book.

- A wealth of practice and revision exercises with solutions help test your knowledge.
- Highlighted key points and important results throughout the book help your students in their revision process.
- Specimen examination papers give further opportunity to practice.

Significant enhancements integrating the use of computer software in the solution of engineering mathematics problems

Widening of the applications base to include more from mechanical, materials and aeronautical engineering

Introductory material on the solution of partial differential equations, loci in the complex plane and the equation of a circle

#### Features of Pearson eBook for the 5th Edition

**Encourage your students to develop vital mathematical skills for their profession.**

**Mathematics for Engineers,** provides a fundamental source of knowledge on key mathematical concepts that every engineer needs.

**Improve your students' learning experience with a range of digital tools.**

From fully online delivery to blended learning, this is a digital textbook with integrated resources designed to keep your students engaged and support their learning.

With eBooks your students can:

- Customise how they study and add their own notes, bookmarks, and highlights directly in their eBook.
- Organise study time and read online or offline, anytime, anywhere.
- Optimise their studying and access learning content with their computer, mobile, and Android apps.
- Study for their course with an environmentally friendly learning resource.

**Find out more about the teaching benefits of Pearson eBooks.**

#### Features of MyLab^{Â®} Math for the 5^{th} Edition

**A fully integrated online homework and tutorial system for your students.**

**Teach your course your way:**MyLab gives you the flexibility to build your own assignments and questions and create a course that fits your needs.**Empower each learner:**Each student learns at a different pace. Personalised learning pinpoints the precise areas where each student needs practice, giving all students the support they need to be successful.**Learning Catalytics**An interactive tool that uses students' smartphones, tablets, or laptops to engage them in more sophisticated tasks.^{Â®}:

Instructors, you can:

- Pose a variety of open-ended questions.
- Adjust your instructional strategy to engage your students.
- Generate classroom discussion and promote peer-to-peer learning.

**A series of interactive material help students master key concepts and connect theory with practice.**

**NEW**-**Content Video Tutorials:**Easily accessible for the students who miss the lecture, the video tutorials cover important concepts and terms. Videos are now available in MyMathLab as full-length lectures and as shorter, assignable video clips that focus on a specific concept or example.

**Find out more about MyLab ^{Â®}.**

### Brief contents

#### Contents

#### Publisher's acknowledgements

#### Preface

#### Using mathematical software packages

- Arithmetic
- Fractions
- Decimal numbers
- Percentage and ratio
- Basic algebra
- Functions and mathematical models
- Polynomial equations, inequalities, partial fractions and proportionality
- Logarithms and exponentials
- Trigonometry
- Further trigonometry
- Complex numbers
- Matrices and determinants
- Using matrices and determinants to solve equations
- Vectors
- Differentiation
- Techniques and applications of differentiation
- Integration
- Applications of integration
- Sequences and series
- Differential equations
- Functions of more than one variable and partial differentiation
- The Laplace transform
- Statistics and probability
- An introduction to Fourier series and the Fourier transform

#### Typical examination papers

#### Appendix 1: SI units and prefixes

#### Index

**Anthony Croft** isÂ Professor ofÂ Mathematics EducationÂ at Loughborough University and **Robert Davison** spent over 30 years teaching and writing mathematics for higher education students.

They have authored many best-selling mathematics textbooks including several for engineering students

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