Complex Functions Examples c7 Applications of the Calculus of Residues Leif Mejlbro Download free books at Leif Mejlbro Complex Functions Examples c-7 Applications of the Calculus of Residues Download free eBooks at bookboon.com Complex Functions Examples c-7 – Applications of the Calculus of Residues © 2008 Leif Mejlbro & Ventus Publishing ApS ISBN 978-87-7681-390-1 Download free eBooks at bookboon.com Complex Funktions Examples c-7 Contents Contents Introduction 7 8 1.5 1.6 Some practical formulæ in the applications of the calculation of residues Trigonometric integrals Improper integrals in general Improper integrals, where the integrand is a rational function Improper integrals, where the integrand is a rational function time a trigonometric function Cauchy’s principal value Sum of some series Trigonometric integrals 13 Improper integrals in general 25 Improper integral, where the integrand is a rational function 44 Improper integrals, where the integrand is a rational function times a trigonometric function 72 1.1 1.2 1.3 1.4 10 12 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 Complex Funktions Examples c-7 Kapiteloverskrift NL Improper integrals, where the integrand is a rational function times an exponential function 98 Cauchy’s principal value 114 Sum of special types of series 130 360° 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 Complex Funktions Examples c-7 Introduction Introduction This is the seventh book containing examples from the Theory of Complex Functions In this volume we shall apply the calculations or residues in computing special types of trigonometric integrals, some types of improper integrals, including the computation of Cauchy’s principal value of an integral, and the sum of some types of series We shall of course assume some knowledge of the previous books and the corresponding theory Even if I have tried to be careful about this text, it is impossible to avoid errors, in particular in the first edition It is my hope that the reader will show some understanding of my situation Leif Mejlbro 19th June 2008 Download free eBooks at bookboon.com ...Leif Mejlbro Complex Functions Examples c- 7 Applications of the Calculus of Residues Download free eBooks at bookboon.com Complex Functions Examples c- 7 – Applications of the Calculus of Residues... ISBN 978 - 87- 7681-390-1 Download free eBooks at bookboon.com Complex Funktions Examples c- 7 Contents Contents Introduction 7 8 1.5 1.6 Some practical formulæ in the applications of the calculation... affiliated entities Click on the ad to read more Complex Funktions Examples c- 7 Introduction Introduction This is the seventh book containing examples from the Theory of Complex Functions In this