Calculus and ODEs / D. Pearson.

Includes index.

Professor Pearson's book starts with an introduction to the area and an explanation of the most commonly used functions. It then moves on through differentiation, special functions, derivatives, integrals and onto full differential equations. As with other books in the series the emphasis is on using worked examples and tutorial-based problem solving to gain the confidence of students.

Front Cover; Calculus and ODEs; Copyright Page; Table of Contents; Series Preface; Preface; Chapter 1. Introduction; 1.1 Four aims; 1.2 Learning about calculus; Chapter 2. Functions; 2.1 What is a function?; 2.2 Functions and their graphs; 2.3 What is a continuous function?; 2.4 What is a limit?; Summary; Further exercises; Chapter 3. Getting Functions Together; 3.1 Ways of combining functions; 3.2 Composition and inverse; Summary; Further exercises; Chapter 4. Rates of Change, Slopes, Tangents; 4.1 Rates of change and gradients; 4.2 Tangents and linear approximation; 4.3 Speed and velocity

7.4 Sines, cosines, hyperbolic functions -- and complex numbersSummary; Further exercises; Chapter 8. The Antiderivative; 8.1 Antiderivatives and the indefinite integral; 8.2 Uses of the anti derivative; 8.3 Methods of integration; Summary; Further exercises; Chapter 9. TheDefinite Integral; 9.1 The definite and indefinite integral; 9.2 Uses of the definite integral; 9.3 The improper integral; Summary; Further exercises; Chapter 10. Differential Equations; 10.1 First order differential equations; 10.2 Series solutions and iterations; 10.3 How many solutions?

10.4 Applications of differential equationsSummary; Further exercises; Chapter 11. Linear Differential Equations; 11.1 First order linear differential equations; 11.2 Linear differential equations -- general theory; 11.3 Constant coefficient differential equations; Summary; Further exercises; Chapter 12. Looking Backand Looking Forward; 12.1 Looking back; 12.2 Signposts; Solutions; Index

English.

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