Numbers, Sequences and Series
eBook - PDF

Numbers, Sequences and Series

  1. 208 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Numbers, Sequences and Series

About this book

Number and geometry are the foundations upon which mathematics has been built over some 3000 years. This book is concerned with the logical foundations of number systems from integers to complex numbers. The author has chosen to develop the ideas by illustrating the techniques used throughout mathematics rather than using a self-contained logical treatise. The idea of proof has been emphasised, as has the illustration of concepts from a graphical, numerical and algebraic point of view. Having laid the foundations of the number system, the author has then turned to the analysis of infinite processes involving sequences and series of numbers, including power series. The book also has worked examples throughout and includes some suggestions for self-study projects. In addition there are tutorial problems aimed at stimulating group work and discussion.

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Yes, you can access Numbers, Sequences and Series by Keith Hirst in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Front Cover
  2. Numbers, Sequences and Series
  3. Copyright Page
  4. Table of Contents
  5. Series Preface
  6. Preface
  7. Chapter 1. Sets and Logic
  8. Chapter 2. The Integers
  9. Chapter 3. The Rational Numbers
  10. Chapter 4. Inequalities
  11. Chapter 5. The Real Numbers
  12. Chapter 6. Complex Numbers
  13. Chapter 7. Sequences
  14. Chapter 8. Infinite Series
  15. Chapter 9. Decimals
  16. Chapter 10. Further Developments
  17. Answers to Exercises
  18. Index