- 595 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Outline Course of Pure Mathematics
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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Table of contents
- Front Cover
- Outline Course of Pure Mathematics
- Copyright Page
- Table of Contents
- PREFACE
- GREEK ALPHABET
- SELECT BIBLIOGRAPHY
- CHAPTER 1. DIFFERENTIAL CALCULUS
- Chapter 2. INVERSE TRIGONOMETRICAL FUNCTIONS
- CHAPTER 3. ELEMENTARY ANALYSIS
- CHAPTER 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS
- CHAPTER 5. HYPERBOLIC FUNCTIONS
- CHAPTER 6. PARTIAL DIFFERENTIATION
- CHAPTER 7. INDEFINITE INTEGRALS
- CHAPTER 8. DEFINITE INTEGRALS
- CHAPTER 9. INFINITE SERIES AND SEQUENCES
- CHAPTER 10. COMPLEX NUMBERS
- CHAPTER 11. MATRICES
- CHAPTER 12. DETERMINANTS
- CHAPTER 13. SETS AND THEIR APPLICATIONS. BOOLEAN ALGEBRA
- CHAPTER 14. GROUPS
- CHAPTER 15. THE NATURE OF GEOMETRY
- CHAPTER 16. CONICS
- CHAPTER 17. THE PARABOLA
- CHAPTER 18. THE ELLIPSE
- CHAPTER 19. THE HYPERBOLA
- CHAPTER 20. CURVES: CARTESIAN COORDINATES
- CHAPTER 21. CURVATURE
- CHAPTER 22. CURVES: POLAR COORDINATES
- CHAPTER 23. GEOMETRICAL APPLICATIONS OF THE DEFINITE INTEGRAL
- NEW HORIZONS
- SOLUTIONS TO EXERCISES
- INDEX
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Yes, you can access Outline Course of Pure Mathematics by A. F. Horadam in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over 1.5 million books available in our catalogue for you to explore.