essential engineering mathematics

Essential Engineering Mathematics Download free books at... 2 Michael Batty Essential Engineering Mathematics Download free eBooks at bookboon.com... Essential Engineering Mathematics4

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Essential Engineering

Mathematics

Download free books at

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Michael Batty

Essential Engineering Mathematics

Download free eBooks at bookboon.com

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ISBN 978-87-7681-735-0

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Contents

0 Introduction 8

1 Preliminaries 10

1.1 Number Systems: The Integers, Rationals and Reals 10

1.2 Working with the Real Numbers 13

1.2.4 Inequalities Involving Absolute Value 16

1.3.2 The Complex Number System and its Arithmetic 18

1.3.3 Solving Polynomial Equations Using Complex Numbers 19

1.3.4 Geometry of Complex Numbers 20

2 Vectors and Matrices 23

2.2.2 Inverse Matrices and Determinants 27

2.3 Systems of Linear Equations and Row Reduction 30

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Contents

2.3.1 Systems of Linear Equations 30

2.3.3 Finding the Inverse of a Matrix using Row Reduction 32

2.5 Eigenvalues and Eigenvectors 35

3 Functions and Limits 39

3.1.2 Piping Functions Together 41

4 Calculus of One Variable Part 1: Differentiation 51

4.4 Dierentiating Inverse Functions 59

4.6 Logarithmic Differentiation 63

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