Complex analysis with applications to flows and fields /
Complex Analysis with Applications to Flows and Fields presents the theory of functions of a complex variable, from the complex plane to the calculus of residues to power series to conformal mapping. The book explores numerous physical and engineering applications concerning potential flows, the gra...
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Full text (MCPHS users only) |
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| Main Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boca Raton :
CRC Press,
2011
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| Series: | Mathematics and physics for science and technology.
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| Subjects: | |
| Local Note: | ProQuest Ebook Central |
Table of Contents:
- Front cover; Contents; List of Tables, Notes, Diagrams, Classifications, and Lists; Series Preface; Preface; About the Author; Acknowledgments; Mathematical Symbols; Physical Quantities; 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 Assosiations 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 ShipChapter 9. Stereographic Projection and Genus of a Surface; Chapter 10. Examples 10.1 to 10.20; 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. Exampleas 20.1 to 20.20Part 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 4 Conformal Mapping: Heat and AerodynamicsChapter 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; Bibliography; References; Back cover
