Book:P. Abbott/Teach Yourself Calculus
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P. Abbott: Teach Yourself Calculus
Published $\text {1946}$, English Universities Press Ltd.
Subject Matter
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