Understanding Engineering Mathematics

Купить бумажную книгу и читать

Название: Understanding Engineering Mathematics

Автор: Bill Cox

Издательство: Bill Cox 2001

ISBN 0750650982

Язык: english

Cтраниц: 545 pages

Качество: хорошее

Формат: PDF (rar + 5%)

Размер: 2.3 Mb

This book contains most of the material covered in a typical first year mathematics course in an engineering or science programme. It devotes Chapters 1–10 to consolidating the

foundations of basic algebra, elementary functions and calculus. Chapters 11–17 cover the range of more advanced topics that are normally treated in the first year, such as vectors and matrices, differential equations, partial differentiation and transform methods.

1. Number and Arithmetic

2. Algebra

3. Functions and Series

4. Exponential and Logarithm Functions

5. Geometry of Lines, Triangles and Circles

6. Trigonometry

7. Coordinate Geometry

8. Techniques of Differentiation

9. Techniques of Integration

10.Applications of Differentiation and Integration

11.Vectors

12.Complex Numbers

13.Matrices and Determinants

14.Analysis for Engineers - Limits, Sequences, Iteration, Series and All That

15.Ordinary Differential Equations

16.Funcions of More than One Variable - Partial Differentiation

17. An Appreciation of Transform Methods

-Introduction

-The Laplace transform

-Laplace Transform of the elementary function

-Properties, and Inverse Laplace transform

-Solution of initial value problems by Laplace Transform

-Linear systems and the principle of sueprposition

-Orthogonality relations for trigonometric functions

-The Fourier series expansion

-The Fourier coeffcients

-Reinforcement

-Applications

-Answers to reinforcement exercises