A Collection of Problems on a Course of Mathematical Analysis is a collection of systematically selected problems and exercises (with corresponding solutions) in mathematical analysis. A common instruction precedes a group of problems of the same type. Problems with a physics content are preceded by the necessary physical laws. In the case of more or less difficult problems, hints are given in the answers.

This book is comprised of 15 chapters and begins with an overview of functions and methods of specifying them; notation for and classification of functions; elementary investigation of functions; and trigonometric and inverse trigonometric functions. The following chapters deal with limits and tests for their existence; differential calculus, with emphasis on derivatives and differentials; functions and curves; definite and indefinite integrals; and methods of evaluating definite integrals. Some applications of the integral in geometry, statics, and physics are also considered; along with functions of several variables; multiple integrals and iterated integration; line and surface integrals; and differential equations. The final chapter is devoted to trigonometric series.

This monograph is intended for students studying mathematical analysis within the framework of a technical college course.

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Yes, you can access A Collection of Problems on a Course of Mathematical Analysis by G. N. Berman, I. N. Sneddon,M. Stark,S. Ulam in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Information

Publisher

Pergamon

Year

2016

ISBN

9781483137346

Topic

Mathematics

Subtopic

Mathematical Analysis

Index

Mathematics

Front Cover
A Collection of Problems on a Course of Mathematical Analysis
Copyright Page
Table of Contents
Foreword to the Tenth Russian Edition
CHAPTER 1. FUNCTIONS
CHAPTER 2. LIMITS
CHAPTER 3. DERIVATIVES AND DIFFERENTIALS. DIFFERENTIAL CALCULUS
CHAPTER 4. THE INVESTIGATION OF FUNCTIONS AND CURVES
CHAPTER 5. THE DEFINITE INTEGRAL
CHAPTER 6. THE INDEFINITE INTEGRAL. INTEGRAL CALCULUS
CHAPTER 7. METHODS OF EVALUATING DEFINITE INTEGRALS. IMPROPER INTEGRALS
CHAPTER 8. APPLICATIONS OF THE INTEGRAL
CHAPTER 9. SERIES
CHAPTER 10. FUNCTIONS OF SEVERAL VARIABLES. DIFFERENTIAL CALCULUS
CHAPTER 11. APPLICATIONS OF THE DIFFERENTIAL CALCULUS FOR FUNCTIONS OF SEVERAL VARIABLES
CHAPTER 12. MULTIPLE INTEGRALS AND ITERATED INTEGRATION
CHAPTER 13. LINE AND SURFACE INTEGRALS
CHAPTER 14. DIFFERENTIAL EQUATIONS
CHAPTER 15. TRIGONOMETRIC SERIES
CHAPTER 16. ELEMENTS OF THE THEORY OF FIELDS
ANSWERS
APPENDIX: TABLES
Index
Other Volumes in the Series in Pure and Applied Mathematics