Calculus–A Complete Introduction: A Teach Yourself Guide, 4th Edition

A helpful guide to overcoming calculus

Calculus–A Complete Introduction provides everything you need to broaden your skills and gain confidence. Assuming only a basic level of arithmetic, this carefully graded and progressive book guides you through the basic principles of the subject with the help of exercises and fully worked examples.

Includes:

• One, five and ten-minute introductions to key principles to get you started
• Lots of instant help with common problems and quick tips for success, based on the author’s many years of experience
• Tests in the book to keep track of your progress
• Exercises and examples with full answers allow you to practice your new skills progressively
• new Breakthrough Method

Table of Contents

Chapter 1 Functions
Chapter 2 Variations In Functions; Limits
Chapter 3 Gradient
Chapter 4 Rate Of Change
Chapter 5 Differentiation
Chapter 6 Some Rules For Differentiation
Chapter 7 Maxima, Minima And Points Of Inflexion
Chapter 8 Differentiating The Trigonometric Functions
Chapter 9 Exponential And Logarithmic Functions 137
Chapter 10 Hyperbolic Functions
Chapter 11 Integration; Standard Integrals
Chapter 12 Methods Of Integration
Chapter 13 Integration Of Algebraic Fractions
Chapter 14 Area And Definite Integrals
Chapter 15 The Integral As A Sum; Areas
Chapter 16 Approximate Integration
Chapter 17 Volumes Of Revolution
Chapter 18 Lengths Of Curves
Chapter 19 Taylor’S And Maclaurin’S Series
Chapter 20 Differential Equations
Chapter 21 Applications Of Differential Equations