McGregor C. Fundamentals of University Mathematics 3ed 2010 torrent

Textbook in PDF format

Provides, in a single volume, a unified treatment of first year topics fundamental to university mathematics. Successfully bridges the transitional gap between school and university in a careful, thorough and unusually clear treatment. An essential text for students aiming for an honours degree in mathematics.
Contents: 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.
Key Features: one volume, unified treatment of essential topics; clearly and comprehensively covers material beyond standard textbooks; worked examples, challenges and exercises throughout.
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
Appendicies