Stability Riemann Surfaces Conformal Mappings tài liệu, giáo án, bài giảng , luận văn, luận án, đồ án, bài tập lớn về tấ...
Stability, Riemann Surfaces, Conformal Mappings Complex Functions Theory a-3 Leif Mejlbro Download free books at Leif Mejlbro Stability, Riemann Surfaces, Conformal Mappings Complex Functions Theory a-3 Download free eBooks at bookboon.com Stability, Riemann Surfaces, Conformal Mappings – Complex Functions Theory a-3 © 2010 Leif Mejlbro & Ventus Publishing ApS ISBN 978-87-7681-702-2 Download free eBooks at bookboon.com Stability, Riemann Surfaces, Conformal Mappings Contents Contents Introduction 1.1 1.2 The argument principle, and criteria of stability The argument principle Criteria of Stability 9 25 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.7.1 2.7.2 2.7.3 2.7.4 2.7.5 2.7.6 Many-valued functions and Riemann surfaces Inverse mapping The two-valued function The n-valued function The ininite-valued function log z The many-valued functions az and za The many-valued function arcsin z The many-valued arcus functions and area functions The ininite-valued arcus function arcsin z The ininite-valued arcus function arccos z The ininite-valued arcus function arctan z The ininite-valued arcus function arccot z The ininite-valued area function arsinh z The ininite-valued area function arcosh z 38 38 42 45 46 49 51 58 58 58 58 59 59 60 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 Stability, Riemann Surfaces, Conformal Mappings Contents 2.7.7 2.7.8 2.7.9 2.8 2.9 2.9.1 2.9.2 2.9.3 2.9.4 The ininite-valued area function artanhz The ininite-valued area function arcothz Some further remarks on the arcus and area functions Example Simple examples of potential lows in Physics Sources and sinks Vortices Vortex sources/sinks Dipoles 62 62 63 63 67 67 69 69 70 3.1 3.2 3.3 3.3.1 3.3.2 3.3.3 3.3.4 3.3.5 3.4 3.5 3.6 3.7 Conformal mappings and the Dirichlet problem Conformal mappings The Möbius transformations Some special Möbius transformations Unit disc onto unit disc Unit disc onto complementary set of the unit disc Upper half plane onto upper half plane Upper half plane onto unit disc Unit disc onto upper half plane The transformation w = z2 The exponential transformation w = exp z The sine transformation w = sin z Zhukovski’s function 72 72 74 83 83 83 83 83 83 84 87 89 91 360° 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 ...Leif Mejlbro Stability, Riemann Surfaces, Conformal Mappings Complex Functions Theory a-3 Download free eBooks at bookboon.com Stability, Riemann Surfaces, Conformal Mappings – Complex... bookboon.com Stability, Riemann Surfaces, Conformal Mappings Contents Contents Introduction 1.1 1.2 The argument principle, and criteria of stability The argument principle Criteria of Stability. .. Light is OSRAM Click on the ad to read more Download free eBooks at bookboon.com Stability, Riemann Surfaces, Conformal Mappings Contents 2.7.7 2.7.8 2.7.9 2.8 2.9 2.9.1 2.9.2 2.9.3 2.9.4 The ininite-valued