Высшая математика: Учебник для вузов

Higher Mathematics: Textbook for students of non-mathematical specialties of universities; edited by academician A. N. Tikhonov.

Author: Shipachev Viktor Semenovich

The textbook outlines the elements of set theory, the theory of limits, elements of analytic geometry and higher algebra, the basics of differential and integral calculus of functions of one and several variables, the theory of series and differential equations. The theoretical material is accompanied by a large number of examples and tasks.

CONTENTS

Foreword
Introduction

Part one. Mathematical analysis of functions of one variable.

Chapter 1. Real numbers.
Chapter 2. Sequence limit.
Chapter 3. Analytic geometry on the plane.
Chapter 4. Functions of one variable.
Chapter 5. Differentiation.
Chapter 6. Application of the differential calculus to the study of functions.
Chapter 7. The indefinite integral.
Chapter 8. The definite integral.

Part two. Mathematical analysis of functions of several variables.

Chapter 9. Analytic geometry in space.
Chapter 10. Elements of higher algebra.
Chapter 11. Concept, limit and continuity of functions of several variables.
Chapter 12. Partial derivatives and differentiability of functions of several variables.
Chapter 13. Integration .

Part three. Rows. Differential equations.

Chapter 14. Series.
Chapter 15. Ordinary differential equations.

Subject index
Index of main notations