
Surveys in Applied Mathematics
Essays Dedicated to S.M. Ulam
- 316 pages
- English
- PDF
- Available on iOS & Android
About this book
Surveys in Applied Mathematics: Essays Dedicated to S.M. Ulam covers the proceedings of the First Los Alamos Symposium on Mathematics in the Natural Sciences. The book focuses on the processes, principles, methodologies, and applications of mathematics in the natural sciences. The selection first offers information on the role of applied mathematics, shape of a curve, and biased versus unbiased estimation. Discussions focus on the James-Stein estimator, automorphic forms and Poincaré series, Poincaré metrics, Schottky space and augmented Schottky space, and Schottky groups and Riemann surfaces. The text then examines algorithms, Whitney numbers of geometric lattices, and continued fraction expansion of algebraic numbers. The book takes a look at bifurcations in reaction-diffusion problems, survey of some finite element methods proposed for treating the Dirichlet problem, and mathematics of quantum fields. Topics include Dirichlet problem, chemical waves and reaction-diffusion equations, and bifurcation theorems. The text then ponders on almost periodic behavior of nonlinear waves, turbulence theory, and renormalization group methods. The selection is a valuable source of information for mathematicians and researchers interested in applied mathematics.
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Table of 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
- Chapter 2. On the Shape of a Curve
- Chapter 3. Automorphic Forms for Schottky Groups
- Chapter 4. Biased Versus Unbiased Estimation
- Chapter 5. Algorithms
- Chapter 6. Whitney Numbers of Geometric Lattices
- Chapter 7. Continued Fraction Expansion of Algebraic Numbers
- Chapter 8. Random Time Evolution of Infinite Particle Systems
- Chapter 9. Bifurcations in Reaction-Diffusion Problems
- Chapter 10. Singular Perturbation
- Chapter 11. A Survey of Some Finite Element Methods Proposed for Treating the Dirichlet Problem
- Chapter 12. The Mathematics of Quantum Fields
- Chapter 13. Renormalization Group Methods
- Chapter 14. Remarks on Turbulence Theory
- Chapter 15. On an Explicitly Soluble System of Nonlinear Differential Equations Related to Certain Toda Lattices
- Chapter 16. Three Integrable Hamiltonian Systems Connected with Isospectral Deformations
- Chapter 17. Almost Periodic Behavior of Nonlinear Waves
- Chapter 18. The Real Numbers as a Wreath Product