Patrick Roger Analysis and Linear Algebra for Finance: Part I Download free books at Download free eBooks at bookboon.com 2 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 3 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 Click on the ad to read more Analysis and Linear Algebra for Finance: Part I 4 Contents Contents Introduction 6 1 Preliminaries 7 1.1 Sets and subsets 8 1.2 Binary relations 17 1.3 Mappings 20 1.4 Topology of                                                                                                                                                                                                                                                                                                                             25 2 Functions of one variable 43 2.1 Denitions and notations 44 2.2 Limits and continuity 50 2.3 Dierentiation 61 2.4 Logarithms and exponential functions 70 2.5 Polynomial approximations and Taylor formula 75 www.sylvania.com We do not reinvent the wheel we reinvent light. 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Discover the truth at www.deloitte.ca/careers Download free eBooks at bookboon.com Analysis and Linear Algebra for Finance: Part I 6 Introduction                                                                                                                                                                                                                                                                                                            Download free eBooks at bookboon.com Analysis and Linear Algebra for Finance: Part I 7 Preliminaries                                                                                                                                                                                                                               Download free eBooks at bookboon.com Analysis and Linear Algebra for Finance: Part I 8 Preliminaries                                                                                                                                                                                                                                                                                                      Download free eBooks at bookboon.com Analysis and Linear Algebra for Finance: Part I 9 Preliminaries                                                                                                                                                                                                                                                                                       . to read more Analysis and Linear Algebra for Finance: Part I 4 Contents Contents Introduction 6 1 Preliminaries 7 1. 1 Sets and subsets 8 1. 2 Binary relations 17 1. 3 Mappings 20 1. 4 Topology. Patrick Roger Analysis and Linear Algebra for Finance: Part I Download free books at Download free eBooks at bookboon.com 2 Patrick Roger Analysis and Linear Algebra for Finance: Part I. Linear Algebra for Finance: Part I 5 Contents 3 Integrals 81 3 .1 Integral of a step function 81 3.2 General case 86 3.3 Computations 94 3.4 Improper integrals 98 4 Matrices 10 1 4 .1 Denitions 10 1 4.2