essential engineering mathematics

Essential Engineering Mathematics Michael Batty Download free books at Michael Batty Essential Engineering Mathematics Download free eBooks at bookboon.com Essential Engineering Mathematics © 2011 Michael Batty & Ventus Publishing ApS ISBN 978-87-7681-735-0 Download free eBooks at bookboon.com Contents Essential Engineering Mathematics Contents Introduction 1.1 1.2 1.2.1 1.2.2 1.2.3 1.2.4 1.3 1.3.1 1.3.2 1.3.3 1.3.4 Preliminaries Number Systems: The Integers, Rationals and Reals Working with the Real Numbers Intervals Solving Inequalities Absolute Value Inequalities Involving Absolute Value Complex Numbers Imaginary Numbers The Complex Number System and its Arithmetic Solving Polynomial Equations Using Complex Numbers Geometry of Complex Numbers 10 10 13 13 13 14 16 17 17 18 19 20 2.1 2.2 2.2.1 2.2.2 2.2.3 2.3 Vectors and Matrices Vectors Matrices and Determinants Arithmetic of Matrices Inverse Matrices and Determinants The Cross Product Systems of Linear Equations and Row Reduction 23 23 26 26 27 28 30 www.sylvania.com We not reinvent the wheel we reinvent light Fascinating lighting offers an ininite spectrum of possibilities: Innovative technologies and new markets provide both opportunities and challenges An environment in which your expertise is in high demand Enjoy the supportive working atmosphere within our global group and beneit from international career paths Implement sustainable ideas in close cooperation with other specialists and contribute to inluencing our future Come and join us in reinventing light every day Light is OSRAM Click on the ad to read more Download free eBooks at bookboon.com Contents Essential Engineering Mathematics 2.3.1 2.3.2 2.3.3 2.4 2.5 Systems of Linear Equations Row Reduction Finding the Inverse of a Matrix using Row Reduction Bases Eigenvalues and Eigenvectors 30 30 32 34 35 3.1 3.1.1 3.1.2 3.1.3 3.2 3.3 Functions and Limits Functions Denition of a Function Piping Functions Together Inverse Functions Limits Continuity 39 39 39 41 42 43 48 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 Calculus of One Variable Part 1: Differentiation Derivatives The Chain Rule Some Standard Derivatives Dierentiating Inverse Functions Implicit Differentiation Logarithmic Differentiation Higher Derivatives L’Hôpital’s Rule Taylor Series 51 51 56 58 59 61 63 66 67 69 360° thinking Discover the truth at www.deloitte.ca/careers © Deloitte & Touche LLP and affiliated entities Click on the ad to read more Download free eBooks at bookboon.com