Complex analysis with applications to flows and fields /

Bibliographic Details
Main Author:	Campos, Luis Manuel Braga da Costa (Author)
Corporate Author:	Taylor & Francis
Format:	eBook
Language:	English
Published:	Boca Raton, FL : CRC Press, an imprint of Taylor and Francis, [2010]
Edition:	First edition.
Series:	Mathematics and physics for science and technology.
Subjects:	Functions of complex variables. Fonctions d'une variable complexe. MATHEMATICS / Applied TECHNOLOGY / Engineering / Civil Functions of complex variables Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Part Part 1 Complex Domain: Circuits and Stability
chapter 1 Complex Numbers and Quaternions
chapter 2 Stability of an Equilibrium Position
chapter 3 Addition, Product, and Inverses
chapter 4 Impedance of Associations of Circuits
chapter 5 Power, Root, and Logarithm
chapter 6 Electron in an Electromagnetic Field
chapter 7 Multivalued Functions, Branch-Points, and Branch-Cuts
chapter 8 Motion of a Pendulum and a Ship
chapter 9 Stereographic Projection and Genus of a Surface
chapter 10 Examples 10.1 to 10.20
part Part 2 Integrals and Residues: Flows and Gravity
chapter 11 Diﬀerentiation and Holomorphic Functions
chapter 12 Potential Flow and Multipoles
chapter 13 Primitive and Contour Integrals
chapter 14 Pressure and Corner Flows
chapter 15 Loop Integrals and Poles
chapter 16 Images on Plane Walls
chapter 17 Improper Integrals and Principal Value
chapter 18 Mass and the Gravity Field
chapter 19 Cauchy Conditions and Inﬁnitesimals
chapter 20 Examples 20.1 to 20.20
part Part 3 Power Series: Electricity and Magnetism
chapter 21 Convergence of and Operations on Series
chapter 22 Multiple Reﬂections in a Lens
chapter 23 Analytic Series of Ascending Powers
chapter 24 Electrostatics, Charges, and Dielectrics
chapter 25 Singular Series of Ascending-Descending Powers
chapter 26 Magnetostatics, Currents, and Permeability
chapter 27 Classiﬁcation of Singularities and Functions
chapter 28 Forces and Moments on Bodies
chapter 29 Combined Test of Convergence
chapter 30 Examples 30.1 to 30.20
part Part 4 Conformal Mapping: Heat and Aerodynamics
chapter 31 Analytic Continuation and Rational Functions
chapter 32 Steady Heat Conduction
chapter 33 Conformal and Critical Points
chapter 34 Wing Sections and Planforms
chapter 35 Linear and Homographic Transformations
chapter 36 Channels, Condensers, and Wakes
chapter 37 Mapping of Domains and Boundaries
chapter 38 Hodograph for Free Jets
chapter 39 Essential Singularities, Roots, and Periods
chapter 40 Examples 40.1 to 40.20.