Calculus (Third Edition) / / Ralph Jeffery.

• Superior document: Title is part of eBook package: De Gruyter University of Toronto Press eBook-Package Archive 1933-1999
• VerfasserIn: Jeffery, Ralph,
• Place / Publishing House: Toronto : : University of Toronto Press, , [2019]; ©1960
• Year of Publication: 2019
• Edition: 3rd
• Language: English
• Series: Heritage
• Physical Description: 1 online resource (312 p.) :; graphs throughout

Since first publication in 1954, this text has been widely used in North American universities in introductory courses in science and engineering. It is a streamlined text, in which essential ideas are not buried in endless detail. For science students and engineers the sine qua non is formal training in the techniques and manipulations which they will use in their regular engineering courses and in their professional work. But at the same time there is in every class a small group who have an interest in knowing the reasons back of their manipulative work. In Professor Jeffery's text, a framework of fundamental principles is always in sight and available. In the new edition, the study of the definite integral has been moved ahead from Chapter VII to Chapter V. The differential and the differential notation are introduced and used soon after the derivative has been defined. Some topics have been added—the chain rule for partial derivatives, directional derivatives, l'Hospital's rule, determinants, and linear dependence relative to vectors. More practice problems, especially in determining anti-differentials, have been added and where experience has shown it desirable, more detailed explanations have been given.

Table of Contents

Frontmatter -- PREFACE -- PREFACE TO THE THIRD EDITION -- CONTENTS -- INTRODUCTION -- CHAPTER I. SPEED AND LIMITS -- CHAPTER II. THE DERIVATIVE OF A FUNCTION -- CHAPTER III. RULES AND FORMULAS FOR DIFFERENTIATION -- CHAPTER IV. DIFFERENTIALS, DIFFERENTIAL EQUATIONS AND ANTI-DIFFERENTIALS -- CHAPTER V. THE DEFINITE INTEGRAL -- CHAPTER VI. THE TRANSCENDENTAL FUNCTIONS -- CHAPTER VII. RELATED RATES, MAXIMA AND MINIMA, CURVE PLOTTING -- CHAPTER VIII. DISPLACEMENT, VELOCITY AND ACCELERATION. APPLICATIONS OF RATES OF CHANGE. FIRST MOMENTS, WORK, AND PRESSURE -- CHAPTER IX. FURTHER METHODS OF DETERMINING ANTI-DIFFERENTIALS -- CHAPTER X. ROLLE'S THEOREM, MEAN VALUE THEOREM, PARAMETRIC EQUATIONS, ARC LENGTH, SURFACE OF REVOLUTION, CURVATURE, SECOND ORDER DIFFERENTIAL EQUATIONS, L'HOSPITAL'S RULE -- CHAPTER XI. FUNDAMENTAL THEOREMS -- CHAPTER XII. INFINITE SERIES -- CHAPTER XIII. PARTIAL DERIVATIVES, MULTIPLE INTEGRATION, MOMENTS OF INERTIA -- CHAPTER XIV. VECTORS AND SOLID GEOMETRY -- CHAPTER XV. DETERMINANTS MATRICES AND LINEAR EQUATIONS -- CHAPTER XVI. LINEAR RELATIONS AMONG VECTORS -- CHAPTER XVII. VECTOR PRODUCTS APPLICATIONS OF VECTORS -- CHAPTER XVIII. QUADRIC SURFACES -- INDEX