Complex analysis with applications to flows and fields. (2010)
- Record Type:
- Book
- Title:
- Complex analysis with applications to flows and fields. (2010)
- Main Title:
- Complex analysis with applications to flows and fields
- Further Information:
- Note: By Luis Manuel Braga de Costa Campos.
- Other Names:
- Campos, Luis Manuel Braga de Costa
- Contents:
- Complex Domain: Circuits and Stability; Complex numbers and quaternions; Stability of an equilibrium position; Addition, product, and inverses; Impedance of associations of circuits; Functions power and root; Electron in an electromagnetic field; Multivalued functions, branch-points, and branch-cuts; Motion of a pendulum and a ship; Stereographic projection of a sphere; Examples Integrals and Residues: Flows and Gravity ; Differentiation and holomorphic functions; Potential flow and multipoles; Primitive and contour integrals; Pressure and corner flows; Loop integrals and poles; Images on plane walls; Improper integrals and principal value; Mass and the gravity field; Cauchy conditions and infinitesimals; Examples Power Series: Electricity and Magnetism; Convergence of and operations on series; Multiple reflections in a lens; Analytic series of ascending powers; Electrostatics, charges, and dielectrics; Singular series of ascending–descending powers; Magnetostatics, currents, and permeability; Classification of singularities and functions; Forces and moments on bodies; Combined test of convergence; Examples Conformal Mapping: Heat and Aerodynamics; Analytic continuation and rational functions; Steady heat conduction; Conformal and critical points; Wing sections and planforms; Linear and homographic transformations; Channels, condensers, and wakes; Mapping of domains and boundaries; Hodograph for free jets; Essential singularities, roots, and periods; Examples BibliographyComplex Domain: Circuits and Stability; Complex numbers and quaternions; Stability of an equilibrium position; Addition, product, and inverses; Impedance of associations of circuits; Functions power and root; Electron in an electromagnetic field; Multivalued functions, branch-points, and branch-cuts; Motion of a pendulum and a ship; Stereographic projection of a sphere; Examples Integrals and Residues: Flows and Gravity ; Differentiation and holomorphic functions; Potential flow and multipoles; Primitive and contour integrals; Pressure and corner flows; Loop integrals and poles; Images on plane walls; Improper integrals and principal value; Mass and the gravity field; Cauchy conditions and infinitesimals; Examples Power Series: Electricity and Magnetism; Convergence of and operations on series; Multiple reflections in a lens; Analytic series of ascending powers; Electrostatics, charges, and dielectrics; Singular series of ascending–descending powers; Magnetostatics, currents, and permeability; Classification of singularities and functions; Forces and moments on bodies; Combined test of convergence; Examples Conformal Mapping: Heat and Aerodynamics; Analytic continuation and rational functions; Steady heat conduction; Conformal and critical points; Wing sections and planforms; Linear and homographic transformations; Channels, condensers, and wakes; Mapping of domains and boundaries; Hodograph for free jets; Essential singularities, roots, and periods; Examples Bibliography Index … (more)
- Publisher Details:
- Place of publication not identified : CRC Press
- Publication Date:
- 2010
- Extent:
- 1 online resource, illustrations
- Subjects:
- 515.9
Functions of complex variables - Languages:
- English
- ISBNs:
- 9781420071207
1420071203 - Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.147469
- Ingest File:
- 02_081.xml