Book:P. Abbott/Teach Yourself Calculus

P. Abbott: Teach Yourself Calculus

Published $\text {1946}$, English Universities Press Ltd.

Subject Matter

• Calculus

Contents

Introduction

I. Functions

II. Variations in Functions. Limits

III. Rate of Change of a Function. Gradients

IV. Differential Coefficient. Differentiation

V. Some Rules for Differentiation

VI. Maxima and Minima Values. Points of Inflexion

VII. Differentiation of the Trigonometric Functions

VIII. Exponential and Logarithmic Functions

IX. Hyperbolic Functions

X. Integration. Standard Integrals

XI. Some Elementary Methods of Integration

XII. Integration of Algebraic Fractions

XIII. Areas by Integral Calculus. Definite Integrals

XIV. Integration as a Summation. Areas

XV. The Lengths of Curves

XVI. Soilds of Revolution. Volumes and Areas of Surfaces

XVII. Uses of Integration in Mechanics

XVIII. Partial Differentiation

XIX. Series. Taylor's and Maclaurin's Theorems

XX. Elementary Differential Equations

Standard and Useful Integrals