The Schwarz function and its applications / by Philip J. Davis.

Format:

Book

Author/Creator:

Davis, Philip J., 1923- author.

Series:

Carus Mathematical Monographs, 2637-7535 ; v. 17

Language:

English

Subjects (All):

Analytic functions.

Geometry, Analytic--Plane.

Geometry, Analytic.

Physical Description:

1 online resource (xi, 228 pages)

Place of Publication:

[Washington] : Mathematical Association of America, [1974]

System Details:

Mode of access : World Wide Web

Contents:

Chapter 1. Prologue Chapter 2. Conjugate coordinates in the plane Chapter 3. Elementary geometric facts Chapter 4. The nine-point circle Chapter 5. The Schwarz function for an analytic arc Chapter 6. Geometrical Interpretation Of The schwarz Function; Schwarzian reflection Chapter 7. The Schwarz function and differential geometry Chapter 8. Conformal maps, reflections, and their algebra Chapter 9. What figure is the $\sqrt {-1}$ power of a circle? Chapter 10. Properties in the large of the Schwarz function Chapter 11. Derivatives and integrals Chapter 12. Application to elementary fluid mechanics Chapter 13. The Schwarz function and the Dirichlet problem Chapter 14. Schwarz functions of specified type Chapter 15. Schwarz functions and iteration Chapter 16. Dictionary of functional relationships Chapter 17. Bibliographical and supplementary notes Chapter 18. Bibliography

Notes:

Bibliography: pages 219-223.

Includes index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: Davis, Philip J., 1923- Schwarz function and its applications /

ISBN:

9781614440178 (online)

Access Restriction:

Restricted for use by site license.