- 794 pages
- English
- PDF
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Handbook of Mathematics
About This Book
International Series of Monographs in Pure and Applied Mathematics, Volume 99: Handbook of Mathematics provides the fundamental mathematical knowledge needed for scientific and technological research. The book starts with the history of mathematics and the number systems. The text then progresses to discussions of linear algebra and analytical geometry including polar theories of conic sections and quadratic surfaces. The book then explains differential and integral calculus, covering topics, such as algebra of limits, the concept of continuity, the theorem of continuous functions (with examples), Rolle's theorem, and the logarithmic function. The book also discusses extensively the functions of two variables in partial differentiation and multiple integrals. The book then describes the theory of functions, ordinary differential functions, special functions and the topic of sequences and series. The book explains vector analysis (which includes dyads and tensors), the use of numerical analysis, probability statistics, and the Laplace transform theory. Physicists, engineers, chemists, biologists, and statisticians will find this book useful.
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Table of contents
- Front Cover
- Handbook of Mathematics
- Copyright Page
- Table of Contents
- FOREWORD
- CHAPTER 1. GLIMPSES OF THE HISTORY OF MATHEMATICS
- CHAPTER 2. NUMBER SYSTEMS
- CHAPTER 3. LINEAR ALGEBRA
- CHAPTER 4. ANALYTICAL GEOMETRY
- CHAPTER 5. ANALYSIS
- CHAPTER 6. SEQUENCES AND SERIES
- CHAPTER 7. THEORY OF FUNCTIONS
- CHAPTER 8. ORDINARY DIFFERENTIAL EQUATIONS
- CHAPTER 9. SPECIAL FUNCTIONS
- CHAPTER 10. VECTOR ANALYSIS
- CHAPTER 11. PARTIAL DIFFERENTIAL EQUATIONS
- CHAPTER 12. NUMERICAL ANALYSIS
- CHAPTER 13. THE LAPLACE TRANSFORM
- CHAPTER 14. PROBABILITY AND STATISTICS
- INDEX