Complex analysis with applications to flows and fields
by Campos, Luis Manuel Braga da Costa
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 gravity field, electro- and magnetostatics, steady heat conduction, and other problems. It provides the mathematical results to sufficiently justify the solution of these problems, eliminating the need …
Read More ↓Title Statements
- Full title :Complex analysis with applications to flows and fields / by Luis Manuel Braga de Costa Campos.
Summary
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 gravity field, electro- and magnetostatics, steady heat conduction, and other problems. It provides the mathematical results to sufficiently justify the solution of these problems, eliminating the need to consult external references.
Read More ↓Edition Statements
- Publication Date:©2011.
Publication Statements
- Publisher(s):CRC Press
- Place of Publication:Boca Raton
- Language:eng
- Publication Date:©2011.
The Physical Object
- Description:1 online resource (xl, 989 pages) : : illustrations.
Edition Identifiers
- ISBN:1322615195, 9781322615196, 9781420071207, 1420071203, 1420071181, 9781420071184
- oclc:ocn901276064
- LC Classification:QA331.7
- Dewey Decimal:515/.9
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 20.20Pa…
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