Schwarz函数及其应用(影印版)
定价:¥135.00
作者: Philip J. Davis
出版社:高等教育出版社
- 高等教育出版社
- 9787040673685
- 1版
- 特殊
目录
目录
前辅文
1. Prologue
2. Conjugate Coordinates in the Plane
3. Elementary Geometrical Facts
4. The Nine-Point Circle
5. The Schwarz Function for an Analytic Arc
6. Geometrical Interpretation of the Schwarz Function; Schwarzian Reflection
7. The Schwarz Function and Differential Geometry
8. Conformal Maps, Reflections, and their Algebra
9. What Figure is the √-1 Power of a Circle?
10. Properties in the Large of the Schwarz Function
11. Derivatives and Integrals
12. Application to Elementary Fluid Mechanics
13. The Schwarz Function and the Dirichlet Problem
14. Schwarz Functions of Specified Type
15. Schwarz Functions and Iterations
16. Dictionary of Functional Relationships
17. Bibliographical and Supplementary Notes
18. Bibliography
INDEX
前辅文
1. Prologue
2. Conjugate Coordinates in the Plane
3. Elementary Geometrical Facts
4. The Nine-Point Circle
5. The Schwarz Function for an Analytic Arc
6. Geometrical Interpretation of the Schwarz Function; Schwarzian Reflection
7. The Schwarz Function and Differential Geometry
8. Conformal Maps, Reflections, and their Algebra
9. What Figure is the √-1 Power of a Circle?
10. Properties in the Large of the Schwarz Function
11. Derivatives and Integrals
12. Application to Elementary Fluid Mechanics
13. The Schwarz Function and the Dirichlet Problem
14. Schwarz Functions of Specified Type
15. Schwarz Functions and Iterations
16. Dictionary of Functional Relationships
17. Bibliographical and Supplementary Notes
18. Bibliography
INDEX
前辅文
1. Prologue
2. Conjugate Coordinates in the Plane
3. Elementary Geometrical Facts
4. The Nine-Point Circle
5. The Schwarz Function for an Analytic Arc
6. Geometrical Interpretation of the Schwarz Function; Schwarzian Reflection
7. The Schwarz Function and Differential Geometry
8. Conformal Maps, Reflections, and their Algebra
9. What Figure is the √-1 Power of a Circle?
10. Properties in the Large of the Schwarz Function
11. Derivatives and Integrals
12. Application to Elementary Fluid Mechanics
13. The Schwarz Function and the Dirichlet Problem
14. Schwarz Functions of Specified Type
15. Schwarz Functions and Iterations
16. Dictionary of Functional Relationships
17. Bibliographical and Supplementary Notes
18. Bibliography
INDEX
前辅文
1. Prologue
2. Conjugate Coordinates in the Plane
3. Elementary Geometrical Facts
4. The Nine-Point Circle
5. The Schwarz Function for an Analytic Arc
6. Geometrical Interpretation of the Schwarz Function; Schwarzian Reflection
7. The Schwarz Function and Differential Geometry
8. Conformal Maps, Reflections, and their Algebra
9. What Figure is the √-1 Power of a Circle?
10. Properties in the Large of the Schwarz Function
11. Derivatives and Integrals
12. Application to Elementary Fluid Mechanics
13. The Schwarz Function and the Dirichlet Problem
14. Schwarz Functions of Specified Type
15. Schwarz Functions and Iterations
16. Dictionary of Functional Relationships
17. Bibliographical and Supplementary Notes
18. Bibliography
INDEX









