
Elementary Analysis
The Commonwealth and International Library: Mathematics Division, Volume 2
- 304 pages
- English
- PDF
- Available on iOS & Android
Elementary Analysis
The Commonwealth and International Library: Mathematics Division, Volume 2
About this book
Elementary Analysis, Volume 2 introduces several of the ideas of modern mathematics in a casual manner and provides the practical experience in algebraic and analytic operations that lays a sound foundation of basic skills. This book focuses on the nature of number, algebraic and logical structure, groups, rings, fields, vector spaces, matrices, sequences, limits, functions and inverse functions, complex numbers, and probability. The logical structure of analysis given through the treatment of differentiation and integration, with applications to the trigonometric and logarithmic functions, is also briefly discussed. This volume begins with a description of the trigonometric functions of the general angle and an introduction to the binomial theorem and series. The rest of the chapters cover the numerical solution of equations, analytical geometry, Argand Diagram, numerical methods, and methods of approximation that form an important section of modern applied mathematics. This publication is valuable to teachers and students in training colleges.
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Table of contents
- Front Cover
- Elementary Analysis
- Copyright Page
- Table of Contents
- PREFACE
- INTRODUCTION: A SUMMARY OF BASIC IDEAS FROM VOLUME 1
- CHAPTER 15. TRIGONOMETRIC FUNCTIONS OF THE GENERAL ANGLE
- CHAPTER 16. FUNCTIONS OF COMPOUND ANGLES
- CHAPTER 17. DIFFERENTIATION AND INTEGRATION OF THE TRIGONOMETRIC FUNCTIONS
- CHAPTER 18. APPLICATIONS OF THE TRIGONOMETRIC FUNCTIONS
- CHAPTER 19. POLYNOMIALS
- CHAPTER 20. SYMMETRIC FUNCTIONS OF THE ROOTS OF A POLYNOMIAL EQUATION
- CHAPTER 21. THE BINOMIAL THEOREM
- CHAPTER 22. THE BINOMIAL SERIES
- CHAPTER 23. NUMERICAL SOLUTION OF EQUATIONS
- CHAPTER 24. ANALYTICAL GEOMETRY
- CHAPTER 25. THE ARGAND DIAGRAM
- CHAPTER 26. MATRICES AND DETERMINANTS
- CHAPTER 27. THE EXPONENTIAL AND LOGARITHMIC FUNCTIONS
- CHAPTER 28. INTRODUCTION TO PROBABILITY THEORY
- ANSWERS
- INDEX