Essays dedicated to S.M. Ulam /
Clasificación: | Libro Electrónico |
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Autor Corporativo: | |
Otros Autores: | , , |
Formato: | Electrónico Congresos, conferencias eBook |
Idioma: | Inglés |
Publicado: |
New York :
Academic Press,
1976.
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Colección: | Surveys in applied mathematics (New York, 1976- )
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Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover
- Surveys in Applied Mathematics: Essays dedicated to S.M. Ulam
- Copyright Page
- Table of Contents
- CONTRIBUTORS
- PREFACE
- INTRODUCTION
- Chapter 1. On the Role of Applied Mathematics
- I. INTRODUCTION
- II. WHAT IS APPLIED MATHEMATICS?
- III. EDUCATION
- IV. RECOMMENDATIONS
- V. APPENDIX
- REFERENCES
- Chapter 2. On the Shape of a Curve
- REFERENCES
- Chapter 3. Automorphic Forms for Schottky Groups
- 1. SCHOTTKY GROUPS
- 2. SCHOTTKY SPACE AND AUGMENTED SCHOTTKY SPACE
- 3. SCHOTTKY GROUPS AND RIEMANN SURFACES
- ""4. POINCARE METRICS""""5. AUTOMORPHIC FORMS AND POINCAR�A? SERIES""; ""6. PROOFS OF THEOREMS 2 AND 3""; ""7. PROOF OF THEOREM 4""; ""REFERENCES""; ""Chapter 4. Biased Versus Unbiased Estimation""; ""1. INTRODUCTION""; ""2. THE JAMES�a�?STEIN ESTIMATOR""; ""3. THREE EXAMPLES OF BIASED ESTIMATION IN PRACTICE""; ""REFERENCES""; ""Chapter 5. Algorithms""; ""COMPUTATIONAL COMPLEXITY""; ""SOME RECENT POSITIVE RESULTS""; ""ADDITIONAL COMMENTS AND CONCLUSIONS""; ""SUMMARY AND CONCLUSIONS""; ""REFERENCES""; ""Chapter 6. Whitney Numbers of Geometric Lattices""; ""INTRODUCTION""; ""1. PRELIMINARIES""
- ""2. THE SHEAVES Z AND M""""3. THE SHEAF W""; ""4. A SPECTRAL SEQUENCE""; ""5. STANDARD RESOLUTIONS""; ""REFERENCES""; ""Chapter 7. Continued Fraction Expansion of Algebraic Numbers""; ""REFERENCES""; ""Chapter 8. Random Time Evolution of Infinite Particle Systems""; ""REFERENCES""; ""Chapter 9. Bifurcations in Reaction-Diffusion Problems""; ""I. BIFURCATION THEOREMS""; ""II. CHEMICAL WAVES AND REACTION�a�?DIFFUSION EQUATIONS""; ""REFERENCES""; ""Chapter 10. Singular Perturbation""; ""REFERENCES""
- Chapter 11. A Survey of Some Finite Element Methods Proposed for Treating the Dirichlet Problem1. INTRODUCTION
- 2. THE NEUMANN PROBLEM
- 3. THE DIRICHLET PROBLEM
- REFERENCES
- Chapter 12. The Mathematics of Quantum Fields
- REFERENCES
- Chapter 13. Renormalization Group Methods
- 1. INTRODUCTION
- 2. MULTIPLE SCALES
- 3. THE RENORMALIZATION GROUP: TECHNIQUE
- 4. THE RENORMALIZATION GROUP: CONSEQUENCES
- 5. OUTLOOK
- REFERENCES
- Chapter 14. Remarks on Turbulence Theory
- 1. INTRODUCTION
- 2. THE DYNAMICAL EQUATIONS
- 3. ABSOLUTE EQUILIBRIUM DISTRIBUTIONS4. NONEQUILIBRIUM: CASCADE PHENOMENA
- 5. EDDY VISCOSITY AND RENORMALIZATION
- 6. CONVECTION INVARIANCE AND LAGRANGIAN COORDINATES
- 7. WHAT CAN WE CALCULATE?
- ACKNOWLEDGMENT
- REFERENCES
- Chapter 15. On an Explicitly Soluble System of Nonlinear Differential Equations Related to Certain Toda Lattices
- REFERENCES
- Chapter 16. Three Integrable Hamiltonian Systems Connected with Isospectral Deformations
- 1. INTRODUCTION
- 2. ISOSPECTRAL DEFORMATIONS