Table of Contents

Preliminaries; Functions and inverse functions; Polynomials and rational functions; Induction and the binomial theorem; Trigonometry; Complex numbers; Limits and continuity; Differentiation - fundamentals; Differentiation ��� applications; Curve sketching; Matrices and linear equations; Vectors and three-dimensional geometry; Products of vectors; Integration - fundamentals; Logarithms and exponentials; Integration - methods and applications; Ordinary differential equations; Sequences and series; 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 Tables of integrals; Appendix F Standard Maclaurin series; Index.

About the Author

Colin McGregor, John Nimmo and Wilson Stothers Glasgow University, UK

Reviews

"This book sits firmly on the university side of the difficult and tricky borderline between school and university mathematics. Definitions, theorems and corollaries, figures and notes carefully numbered for reference. Theorems are proved clearly in modern format and helpful, plentiful figures. If you are looking for a first year university text you should carefully look at this, a unifier of mathematical ideas at this level. I found it most valuable, and saw mathematics at this level more clearly as a single subject and less as a disparate collection of topics." - "The Mathematical Gazette"