Patrick Roger Analysis and Linear Algebra for Finance: Part I Patrick ROGER LaRGE Research Center EM Strasbourg Business School University of Strasbourg Download free eBooks at bookboon.com Analysis and Linear Algebra for Finance: Part I First edition © 2013 Patrick Roger & bookboon.com (Ventus Publishing ApS) ISBN 978-87-403-0412-1 Download free eBooks at bookboon.com Analysis and Linear Algebra for Finance: Part I Contents Contents Introduction Preliminaries 1.1 Sets and subsets Binary relations 1.2 1.3 Mappings 20 1.4 Topology of Functions of one variable 2.1 Deinitions and notations 2.2 2.3 17 25 43 44 Limits and continuity 50 Diferentiation 61 Logarithms 2.4 and exponential functions 2.5 Polynomial approximations and Taylor formula 70 75 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 Download free eBooks at bookboon.com Click on the ad to read more Analysis and Linear Algebra for Finance: Part I Contents Integrals 81 3.1 Integral of a step function 81 3.2 General case 86 3.3 Computations 94 3.4 Improper integrals 98 Matrices 101 4.1 Deinitions 101 4.2 Elementary algebra on matrices 104 4.3 Linear equations 115 360° thinking Discover the truth at www.deloitte.ca/careers Download free eBooks at bookboon.com © Deloitte & Touche LLP and affiliated entities Click on the ad to read more Analysis and Linear Algebra for Finance: Part I Download free eBooks at bookboon.com Introduction Analysis and Linear Algebra for Finance: Part I Preliminaries Download free eBooks at bookboon.com Analysis and Linear Algebra for Finance: Part I Download free eBooks at bookboon.com Preliminaries Analysis and Linear Algebra for Finance: Part I Download free eBooks at bookboon.com Preliminaries ... Polynomial approximations and Taylor formula 70 75 www.sylvania.com We not reinvent the wheel we reinvent light Fascinating lighting offers an ininite spectrum of possibilities: Innovative technologies... 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... 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