Studies in Mathematics and Mechanics
- 1st Edition - January 1, 1954
- Imprint: Academic Press
- Author: Richard von Mises
- Language: English
- Paperback ISBN:9 7 8 - 1 - 4 8 3 2 - 5 5 9 7 - 2
- Hardback ISBN:9 7 8 - 1 - 4 8 3 2 - 3 2 7 2 - 0
- eBook ISBN:9 7 8 - 1 - 4 8 3 2 - 6 3 5 6 - 4
Studies in Mathematics and Mechanics is a collection of studies presented to Professor Richard von Mises as a token of reverence and appreciation on the occasion of his seventieth… Read more
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Request a sales quoteStudies in Mathematics and Mechanics is a collection of studies presented to Professor Richard von Mises as a token of reverence and appreciation on the occasion of his seventieth birthday which occurred on April 19, 1953. von Mises’ thought has been a stimulus in many seemingly unconnected fields of mathematics, science, and philosophy, to which he has contributed decisive results and new formulations of fundamental concepts. The book contains 42 chapters organized into five parts. Part I contains papers on algebra, number theory and geometry. These include a study of Poincaré’s representation of a hyperbolic space on an Euclidean half-space and elementary estimates for the least primitive root. Part II on analysis includes papers on a generalization of Green's Formula and its application to the Cauchy problem for a hyperbolic equation, and the fundamental solutions of a singular Beltrami operator. Part III deals with theoretical mechanics and covers topics such as turbulent flow, axially symmetric flow, and oscillating wakes. The papers in Part IV focus on applied mechanics. These include studies on plastic flow under high stresses and the problem of inelastic thermal stresses. Part V presents studies on probability and statistics, including a finite frequency theory of probability and the problem of expansion of clusters of galaxies.
PrefaceIntroductionAlgebra and Number Theory; Geometry 1. On Poincaré's Representation of the Hyperbolic Space on an Euclidean Half-Space 2. Elementary Estimates for the Least Primitive Root 3. Image Errors and Diapoint Errors 4. Sur une propriété caractéristique des produits de deux symétries 5. On Two Problems in Abstract Algebra Connected with Horner's Rule 6. On Dedekind Sums and Lattice Points in a Tetrahedron 7. Some Remarks on the Topological Characterization of Algebraic Surfaces 8. On a Theorem of C. Carathéodory 9. Generalized Commutators of Matrices and Permutations of Factors in a Product of Three MatricesAnalysis 10. On a Generalization of Green's Formula and Its Application to the Cauchy Problem for a Hyperbolic Equation 11. Properties of Solutions of a System of Partial Differential Equations 12. Induced Potentials 13. On the Fundamental Solutions of a Singular Beltrami Operator 14. Sur le contrôle des intégrations numériques 15. On the Biharmonic Green's Function 16. Sul calcolo delle funzioni olomorfe di una variabile complessa 17. Dirichlet's Principle on Manifolds 18. Weak Functions and the "Finite Part" of Divergent IntegralsTheoretical Mechanics 19. Some Considerations on Turbulent Flow with Shear 20. An Example of Axially Symmetric Flow with a Free Surface 21. On a Class of Spherically Symmetric Flows 22. On Periodically Oscillating Wakes in the Oseen Approximation 23. Some Bounds for the Critical Free Stream Mach Number of a Compressible Flow around an Obstacle 24. Two Topics in One-Dimensional Gas Dynamics 25. On the Stroboscopic Method 26. Estimates for Eigenvalues 27. On Slow Visco-Plastic Flow 28. Relativistically Rigid SurfacesApplied Mechanics 29. Certain Aspects of Plastic Flow under High Stresses 30. Natural Convection Heat Transfer Correlation 31. Der senkrecht zu seiner Ebene belastete, elastisch gebettete Kreisträger 32. On Inelastic Thermal Stresses 33. Torsion of a Circular Cylindrical Body by Means of Tractions Exerted upon the Cylindrical Boundary 34. Una espressiva applicazione delle proprietà di media dello stress comuni a tutti i sistemi continuiProbability and Statistics 35. A Finite Frequency Theory of Probability 36. Interdépendance du centre et du rayon empiriques de variation de n observations indépendantes (Premier mémoire) 37. On Multivariate Normal Probability Distributions 38. Sur la densité de probabilité du produit de variables aléatoires de Pearson du type III 39. On the Statistical Investigation of Transcendental Numbers 40. Estensioni e portata della teoria della dispersione 41. On the Problem of Expansion of Clusters of Galaxies 42. The Asymptotic Development of the Distribution of the Extreme Values of a Sample
- Edition: 1
- Published: January 1, 1954
- No. of pages (eBook): 364
- Imprint: Academic Press
- Language: English
- Paperback ISBN: 9781483255972
- Hardback ISBN: 9781483232720
- eBook ISBN: 9781483263564
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Richard von Mises
Affiliations and expertise
Harvard University Cambridge, MassachusettsRead Studies in Mathematics and Mechanics on ScienceDirect