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

- 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