Calculus and ODEs
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...
| Autor principal: | |
|---|---|
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Oxford :
Elsevier
1996.
|
| Colección: | EBSCO Academic eBook Collection Complete.
Modular mathematics series. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b32493526*spi |
Tabla de Contenidos:
- 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.
- Further exercises; Chapter 5. Differentiation; 5.1 Differentiation as a linear operator; 5.2 Products, quotients, powers, ; 5.3 ... and power series; 5.4 The chain rule and differentiation of inverse functions; Summary; Further exercises; Chapter 6. Finding Out About Functions; 6.1 Derivatives ... and more derivatives; 6.2 The rise and fall of functions; 6.3 Maxima and minima; 6.4 More about second derivatives; Summary; Further exercises; Chapter 7. Some Special Functions; 7.1 The exponential function; 7.2 Exponential and logarithm; 7.3 Powers and their inverses.
- 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.
