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University of Toronto Press
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Calculus (Third Edition)
Language:
English
Published/Copyright:
1960
About this book
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.
Author / Editor information
Jeffery Ralph :
Ralph L. Jeffery (1889-1975) was the head of the Mathematics Department at Queen's University for 18 years until his retirement in 1960.
Ralph L. Jeffery (1889-1975) was the head of the Mathematics Department at Queen's University for 18 years until his retirement in 1960.
Topics
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Frontmatter
i -
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PREFACE
v -
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PREFACE TO THE THIRD EDITION
vii -
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CONTENTS
ix -
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INTRODUCTION
1 -
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CHAPTER I. SPEED AND LIMITS
12 -
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CHAPTER II. THE DERIVATIVE OF A FUNCTION
19 -
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CHAPTER III. RULES AND FORMULAS FOR DIFFERENTIATION
26 -
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CHAPTER IV. DIFFERENTIALS, DIFFERENTIAL EQUATIONS AND ANTI-DIFFERENTIALS
36 -
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CHAPTER V. THE DEFINITE INTEGRAL
50 -
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CHAPTER VI. THE TRANSCENDENTAL FUNCTIONS
71 -
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CHAPTER VII. RELATED RATES, MAXIMA AND MINIMA, CURVE PLOTTING
94 -
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CHAPTER VIII. DISPLACEMENT, VELOCITY AND ACCELERATION. APPLICATIONS OF RATES OF CHANGE. FIRST MOMENTS, WORK, AND PRESSURE
112 -
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CHAPTER IX. FURTHER METHODS OF DETERMINING ANTI-DIFFERENTIALS
139 -
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CHAPTER X. ROLLE'S THEOREM, MEAN VALUE THEOREM, PARAMETRIC EQUATIONS, ARC LENGTH, SURFACE OF REVOLUTION, CURVATURE, SECOND ORDER DIFFERENTIAL EQUATIONS, L'HOSPITAL'S RULE
157 -
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CHAPTER XI. FUNDAMENTAL THEOREMS
189 -
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CHAPTER XII. INFINITE SERIES
201 -
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CHAPTER XIII. PARTIAL DERIVATIVES, MULTIPLE INTEGRATION, MOMENTS OF INERTIA
220 -
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CHAPTER XIV. VECTORS AND SOLID GEOMETRY
252 -
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CHAPTER XV. DETERMINANTS MATRICES AND LINEAR EQUATIONS
265 -
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CHAPTER XVI. LINEAR RELATIONS AMONG VECTORS
275 -
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CHAPTER XVII. VECTOR PRODUCTS APPLICATIONS OF VECTORS
281 -
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CHAPTER XVIII. QUADRIC SURFACES
289 -
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INDEX
297
Publishing information
Pages and Images/Illustrations in book
eBook published on:
December 15, 1960
eBook ISBN:
9781487599973
Edition:
3rd
Pages and Images/Illustrations in book
Main content:
312
Other:
graphs throughout
This book is in the series
eBook ISBN:
9781487599973
Audience(s) for this book
College/higher education;Professional and scholarly;
