
A Collection of Problems on a Course of Mathematical Analysis
- 602 pages
- English
- PDF
- Available on iOS & Android
A Collection of Problems on a Course of Mathematical Analysis
About this book
Collection of Problems on a Course of Mathematical Analysis contains selected problems and exercises on the main branches of a Technical College course of mathematical analysis. This book covers the topics of functions, limits, derivatives, differential calculus, curves, definite integral, integral calculus, methods of evaluating definite integrals, and their applications. Other topics explored include numerical problems related to series and the functions of several variables in differential calculus, as well as their applications. The remaining chapters examine the principles of multiple, line, and surface integrals, the trigonometric series, and the elements of the theory of fields. This book is intended for students studying mathematical analysis within the framework of a technical college course.
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Table of contents
- Front Cover
- A Collection of Problems on a Course of Mathematical Analysis
- Copyright Page
- Table of Contents
- Foreword to the Tenth Russian Edition
- CHAPTER I. FUNCTIONS
- CHAPTER II. LIMITS
- CHAPTER III. DERIVATIVES AND DIFFERENTIALS DIFFERENTIAL CALCULUS
- CHAPTER IV. THE INVESTIGATION OF FUNCTIONS AND CURVES
- CHAPTER V. THE DEFINITE INTEGRAL
- CHAPTER VI. THE INDEFINITE INTEGRAL. INTEGRAL CALCULUS
- CHAPTER VII. METHODS OF EVALUATING DEFINITE INTEGRALS IMPROPER INTEGRALS
- CHAPTER VIII. APPLICATIONS OF THE INTEGRAL
- CHAPTER IX. SERIES
- CHAPTER X. FUNCTIONS OF SEVERAL VARIABLES DIFFERENTIAL CALCULUS
- CHAPTER XI. APPLICATIONS OF THE DIFFERENTIAL CALCULUS FOR FUNCTIONS OF SEVERAL VARIABLES
- CHAPTER XII. MULTIPLE INTEGRALS AND ITERATED INTEGRATION
- CHAPTER XIII. LINE AND SURFACE INTEGRALS
- CHAPTER XIV. DIFFERENTIAL EQUATIONS
- CHAPTER XV. TRIGONOMETRIC SERIES
- CHAPTER XVI. ELEMENTS OF THE THEORY OF FIELDS
- ANSWERS
- APPENDIX: TABLES
- Index
- Other Volumes in the Series in Pure and Applied Mathematics