## Book Description

The third edition of this popular and effective textbook provides in one volume a unified treatment of topics essential for first year university students studying for degrees in mathematics. Students of computer science, physics and statistics will also find this book a helpful guide to all the basic mathematics they require. It clearly and comprehensively covers much of the material that other textbooks tend to assume, assisting students in the transition to university-level mathematics.Expertly revised and updated, the chapters cover topics such as number systems, set and functions, differential calculus, matrices and integral calculus. Worked examples are provided and chapters conclude with exercises to which answers are given. For students seeking further challenges, problems intersperse the text, for which complete solutions are provided. Modifications in this third edition include a more informal approach to sequence limits and an increase in the number of worked examples, exercises and problems.

The third edition of Fundamentals of university mathematics is an essential reference for first year university students in mathematics and related disciplines. It will also be of interest to professionals seeking a useful guide to mathematics at this level and capable pre-university students.

- One volume, unified treatment of essential topics
- Clearly and comprehensively covers material beyond standard textbooks
- Worked examples, challenges and exercises throughout

## Table of Contents

- Cover image
- Title page
- Table of Contents
- Copyright
- Preface to the Third Edition
- Notation
- Chapter 1: Preliminaries
- Chapter 2: Functions and Inverse Functions
- Chapter 3: Polynomials and Rational Functions
- Chapter 4: Induction and the Binomial Theorem
- Chapter 5: Trigonometry
- Chapter 6: Complex Numbers
- Chapter 7: Limits and Continuity
- Chapter 8: Differentiation—Fundamentals
- Chapter 9: Differentiation—Applications
- Chapter 10: Curve Sketching
- Chapter 11: Matrices and Linear Equations
- Chapter 12: Vectors and Three Dimensional Geometry
- Chapter 13: Products of Vectors
- Chapter 14: Integration—Fundamentals
- Chapter 15: Logarithms and Exponentials
- Chapter 16: Integration—Methods and Applications
- Chapter 17: Ordinary Differential Equations
- Chapter 18: Sequences and Series
- Chapter 19: Numerical Methods
- Appendix A: Answers to Exercises
- Appendix B: Solutions to Problems
- Appendix C: Limits and Continuity—A Rigorous Approach
- Appendix D: Properties of Trigonometric Functions
- Appendix E: Table of Integrals
- Appendix F: Which Test for Convergence?
- Appendix G: Standard Maclaurin Series
- Index

## Product Information

- Title: Fundamentals of University Mathematics, 3rd Edition
- Author(s):
- Release date: October 2010
- Publisher(s): Woodhead Publishing
- ISBN: 9780857092243