Teach Yourself: Understand Calculus

Editor/Author Abbott, Paul and Neill, Hugh
Publication Year: 2010
Publisher: Hodder & Stoughton

Price: Core Collection Only
ISBN: 978-1-44-410276-5
Category: Mathematics & Statistics - Mathematics
Image Count: 86
Book Status: Available
Table of Contents

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.

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Table of Contents

  • Only got a minute?
  • 1 Functions
  • 2 Variations in functions; limits
  • 3 Gradient
  • 4 Rate of change
  • 5 Differentiation
  • 6 Some rules for differentiation
  • 7 Maxima, minima and points of inflexion
  • 8 Differentiating the trigonometric functions
  • 9 Exponential and logarithmic functions
  • 10 Hyperbolic functions
  • 11 Integration; standard integrals
  • 12 Methods of integration
  • 13 Integration of algebraic fractions
  • 14 Area and definite integrals
  • 15 The integral as a sum; areas
  • 16 Approximate integration
  • 17 Volumes of revolution
  • 18 Lengths of curves
  • 19 Taylor's and Maclaurin's series
  • 20 Differential equations
  • 21 Applications of differential equations
  • Answers