Essays dedicated to S.M. Ulam /
Saved in:
Corporate Authors: | ; |
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Group Author: | ; ; |
Published: |
Academic Press,
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Publisher Address: | New York : |
Publication Dates: | 1976. |
Literature type: | eBook |
Language: | English |
Series: |
Surveys in applied mathematics
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Subjects: | |
Online Access: |
http://www.sciencedirect.com/science/book/9780124921504 |
Carrier Form: | 1 online resource (xv, 297 pages). |
Bibliography: | Includes bibliographical references. |
ISBN: |
9781483258133 1483258130 |
Index Number: | QA1 |
CLC: | O1 |
Contents: |
""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 POINCARA ? SERIES""; ""6. PROOFS OF THEOREMS 2 AND 3""; ""7. PROOF OF THEOREM 4""; ""REFERENCES""; ""Chapter 4. Biased Versus Unbiased Estimation""; ""1. INTRODUCTION""; ""2. THE JAMESa ?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 REACTIONa ?DIFFUSION EQUATIONS""; ""REFERENCES""; ""Chapter 10. Singular Perturbation""; ""REFERENCES"" ""Chapter 11. A Survey of Some Finite Element Methods Proposed for Treating the Dirichlet Problem""""1. 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 DISTRIBUTIONS""""4. 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"" |