Author: P. Abbott & Hugh Neill
Published 1992
Publisher: Hodder Education
Paperback: 400 pages
Over the last decade and a half I have not got enough opportunities to exercise my grey cells that are responsible for solving mathematical problems. I was concerned that I may eventually loose the skill which I had painstakingly acquired through almost 20 years of maths education. Hence I picked up this book on introductory calculus when I saw it in a library and read through it like a novel. Well that's not exactly how you go through a mathematics book . You need to actually do the exercises given in the book. But then the purpose was served. I was able to refresh many differentiation and integration concepts and techniques which I had struggled with during my college days.
Though I felt the treatment of integral calculus could have been better, I would recommend this book to anyone interested in learning or brushing up the fundamentals of calculus.
Links:
Though I felt the treatment of integral calculus could have been better, I would recommend this book to anyone interested in learning or brushing up the fundamentals of calculus.
Links:
Table of Contents
- Functions
- Variations in functions; limits
- Gradient
- Rate of change
- Differentiation
- Some rules for differentiation
- Maxima, minima and points of inflexion
- Differentiating the trigonometric functions
- Exponential and logarithmic functions
- Hyperbolic functions
- Integration; standard integrals
- Methods of integration
- Integration of algebraic fractions
- Area and definite integrals
- The integral as a sum; areas
- Approximate integration
- Volumes of revolution
- Lengths of curves
- Taylor's and Maclaurin's series
- Differential equations
- Applications of differential equations
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