Introduction to calculus

Introduction to Calculu

A course of higher mathematics: integration and functional analysis

A Course of Higher Mathematic

Ordinary differential equations

Ordinary Differential Equations presents the study of the system of ordinary differential equations and its applications to engineering. The book is designed to serve as a first course in differential equations. Importance is given to the linear equation with constant coefficients; stability theory; use of matrices and linear algebra; and the introduction to the Lyapunov theory. Engineering problems such as the Watt regulator for a steam engine and the vacuum-tube circuit are also presented. Engineers, mathematicians, and engineering students will find the book invaluable

Introduction to calculus /

Print version record.Front Cover; Introduction to Calculus; Copyright Page; Table of Contents; PREFACE TO THE SECOND ENGLISH EDITION; PREFACE TO THE POLISH EDITION; CHAPTER I. SEQUENCES AND SERIES; 1. INTRODUCTION; 2. INFINITE SEQUENCES; 3. INFINITE SERIES; CHAPTER II. FUNCTIONS; 4. FUNCTIONS AND THEIR LIMITS; 5. CONTINUOUS FUNCTIONS; 6. SEQUENCES AND SERIES OF FUNCTIONS; CHAPTER III. DIFFERENTIAL CALCULUS; 7. DERIVATIVES OF THE FIRST ORDER; 8. DERIVATIVES OF HIGHER ORDERS; CHAPTER IV. INTEGRAL CALCULUS; 9. INDEFINITE INTEGRALS; 10. DEFINITE INTEGRALS ; 11. improper integrals and their connection with infinite seriessupplement: additional exercises; index.Elsevie

A course of higher mathematics

A Course of Higher Mathematics, I: Elementary Calculus is a five-volume course of higher mathematics used by mathematicians, physicists, and engineers in the U.S.S.R. This volume deals with calculus and principles of mathematical analysis including topics on functions of single and multiple variables. The functional relationships, theory of limits, and the concept of differentiation, whether as theories and applications, are discussed. This book also examines the applications of differential calculus to geometry. For example, the equations to determine the differential of arc or the paramete