Fundamentals of University Mathematics
eBook - ePub

Fundamentals of University Mathematics

  1. 568 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Fundamentals of University Mathematics

About this book

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

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Yes, you can access Fundamentals of University Mathematics by Colin McGregor,Jonathan Nimmo,Wilson Stothers in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

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