Understand Calculus: Teach Yourself

Summary:
Is this book for me?

This is a comprehensive introduction to calculus that will help you to progress to an advanced level. It offers a carefully graded series of lessons that introduce the basic concepts of differentiation and integration, and helps you to achieve understanding through clearly worked examples, diagrams and exercises. The ideal handbook for those studying pure and applied mathematics, engineering and allied sciences.


How will it help me learn?

NOT GOT MUCH TIME?
One, five and ten-minute introductions to key principles to get you started.

AUTHOR INSIGHTS
Lots of instant help with common problems and quick tips for success, based on the author's many years of experience.

TEST YOURSELF
Tests in the book and online to keep track of your progress.

EXTEND YOUR KNOWLEDGE
Extra online articles at www.teachyourself.com to give you a richer understanding of calculus.

FIVE THINGS TO REMEMBER
Quick refreshers to help you remember the key facts.

TRY THIS
Innovative exercises illustrate what you've learnt and how to use it.

• This is a classic and well-known introduction to calculus, respected enormously by many academics and institutions.
• Suitable for complete beginners and for those studying pure and applied mathematics and related courses.
• Packed with exercises and examples with fully worked answers.

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
Answers
Index

About the Author(s):
Paul Abbott is a maths teacher and author. Hugh Neill lectures in a range of mathematical subjects. Both have written numerous books on a variety of maths topics.

Readership:
Students or general readers needing a comprehensive introduction to calculus.