In this post we will see the problem book *A Collection Of Problems ( Higher Mathematics)* by Ya. S. Bugrov; S. M. Nikolsky.

# About the book

This collection of about 1200 problems has been compiled for the following three textbooks by the same authors: Fundamentals o f Linear Algebra and Analytical Geometry. Differential and Integral Calculus. Differential Equations. Multiple Integrals. Series. Theory Functions of a Complex Variable, thus completing a course in higher mathematics for engineering students and forming a four-book series entitled “Higher Mathematics”. Academician S. Nikolsky is the author of the two-volume textbook A Course of Mathematical Analysis issued in English by Mir Publishers in 1977 and re printed in 1981.All the problems are provided with answers, some of the problems are supplied with hints. The book contains many worked problems.At the beginning of each section references are given indicating the chapters and sections of the above mentioned books where the corresponding theoretical material can be found.

The book was translated from the Russian by Leonid Levant and was published by Mir Publishers in 1984.

You can get the book here.

# Contents

Preface 9

## Chapter 1. Introduction to Analysis 11

## Chapter 2. Integrals 25

## Chapter 3. Fundamentals of Linear Algebra and Analytical 33

## Chapter 4. Functions of Several Variables 57

## Chapter 5. Series 64

## Chapter 6. Differential Equations 69

## Chapter 7. Multiple Integrals 79

## Chapter 8. Vector Analysis 86

## Chapter 9. Fourier Series and Fourier Integral 100

## Chapter 10. Equations of Mathematical Physics

## Chapter 11. Functions of a Complex Variable 108

## Chapter 12. Operational Calculus 122