Outline Course of Pure Mathematics
eBook - PDF

Outline Course of Pure Mathematics

A. F. Horadam

  1. 594 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

Outline Course of Pure Mathematics

A. F. Horadam

Book details
Table of contents
Citations

About This Book

Outline Course of Pure Mathematics presents a unified treatment of the algebra, geometry, and calculus that are considered fundamental for the foundation of undergraduate mathematics. This book discusses several topics, including elementary treatments of the real number system, simple harmonic motion, Hooke's law, parabolic motion under gravity, sequences and series, polynomials, binomial theorem, and theory of probability. Organized into 23 chapters, this book begins with an overview of the fundamental concepts of differential and integral calculus, which are complementary processes for solving problems of the physical world. This text then explains the concept of the inverse of a function that is a natural complement of the function concept and introduces a convenient notation. Other chapters illustrate the concepts of continuity and discontinuity at the origin. This book discusses as well the significance of logarithm and exponential functions in scientific and technological contexts. This book is a valuable resource for undergraduates and advanced secondary school students.

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Information

Publisher
Pergamon
Year
2014
ISBN
9781483147901

Table of contents

  1. Front Cover
  2. Outline Course of Pure Mathematics
  3. Copyright Page
  4. Table of Contents
  5. PREFACE
  6. GREEK ALPHABET
  7. SELECT BIBLIOGRAPHY
  8. CHAPTER 1. DIFFERENTIAL CALCULUS
  9. Chapter 2. INVERSE TRIGONOMETRICAL FUNCTIONS
  10. CHAPTER 3. ELEMENTARY ANALYSIS
  11. CHAPTER 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS
  12. CHAPTER 5. HYPERBOLIC FUNCTIONS
  13. CHAPTER 6. PARTIAL DIFFERENTIATION
  14. CHAPTER 7. INDEFINITE INTEGRALS
  15. CHAPTER 8. DEFINITE INTEGRALS
  16. CHAPTER 9. INFINITE SERIES AND SEQUENCES
  17. CHAPTER 10. COMPLEX NUMBERS
  18. CHAPTER 11. MATRICES
  19. CHAPTER 12. DETERMINANTS
  20. CHAPTER 13. SETS AND THEIR APPLICATIONS. BOOLEAN ALGEBRA
  21. CHAPTER 14. GROUPS
  22. CHAPTER 15. THE NATURE OF GEOMETRY
  23. CHAPTER 16. CONICS
  24. CHAPTER 17. THE PARABOLA
  25. CHAPTER 18. THE ELLIPSE
  26. CHAPTER 19. THE HYPERBOLA
  27. CHAPTER 20. CURVES: CARTESIAN COORDINATES
  28. CHAPTER 21. CURVATURE
  29. CHAPTER 22. CURVES: POLAR COORDINATES
  30. CHAPTER 23. GEOMETRICAL APPLICATIONS OF THE DEFINITE INTEGRAL
  31. NEW HORIZONS
  32. SOLUTIONS TO EXERCISES
  33. INDEX