factorization calculus and geometric probability encyclopedia of mathematics and its applications

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Factorization Calculus And Geometric Probability

Author : R. V. Ambartzumian
ISBN : 0521345359
Genre : Mathematics
File Size : 71. 88 MB
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The classical subjects of geometric probability and integral geometry, and the more modern one of stochastic geometry, are developed here in a novel way to provide a framework in which they can be studied. The author focuses on factorization properties of measures and probabilities implied by the assumption of their invariance with respect to a group, in order to investigate nontrivial factors. The study of these properties is the central theme of the book. Basic facts about integral geometry and random point process theory are developed in a simple geometric way, so that the whole approach is suitable for a nonspecialist audience. Even in the later chapters, where the factorization principles are applied to geometrical processes, the only prerequisites are standard courses on probability and analysis. The main ideas presented have application to such areas as stereology and geometrical statistics and this book will be a useful reference book for university students studying probability theory and stochastic geometry, and research mathematicians interested in this area.

A Modern Approach To Probability Theory

Author : Bert E. Fristedt
ISBN : 9781489928375
Genre : Mathematics
File Size : 43. 67 MB
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Students and teachers of mathematics and related fields will find this book a comprehensive and modern approach to probability theory, providing the background and techniques to go from the beginning graduate level to the point of specialization in research areas of current interest. The book is designed for a two- or three-semester course, assuming only courses in undergraduate real analysis or rigorous advanced calculus, and some elementary linear algebra. A variety of applications—Bayesian statistics, financial mathematics, information theory, tomography, and signal processing—appear as threads to both enhance the understanding of the relevant mathematics and motivate students whose main interests are outside of pure areas.

Matroid Applications

Author : Neil White
ISBN : 0521381657
Genre : Mathematics
File Size : 38. 76 MB
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This volume, the third in a sequence that began with The Theory of Matroids and Combinatorial Geometries, concentrates on the applications of matroid theory to a variety of topics from engineering (rigidity and scene analysis), combinatorics (graphs, lattices, codes and designs), topology and operations research (the greedy algorithm).

Geometric Applications Of Fourier Series And Spherical Harmonics

Author : H. Groemer
ISBN : 0521473187
Genre : Mathematics
File Size : 21. 56 MB
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This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. An important feature of the book is that all necessary tools from the classical theory of spherical harmonics are presented with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces and characterisations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematics.

Minkowski Geometry

Author : A. C. Thompson
ISBN : 052140472X
Genre : Mathematics
File Size : 76. 4 MB
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This is a comprehensive treatment of Minkowski geometry. The author begins by describing the fundamental metric properties and the topological properties of existence of Minkowski space. This is followed by a treatment of two-dimensional spaces and characterizations of Euclidean space among normed spaces. The central three chapters present the theory of area and volume in normed spaces--a fascinating geometrical interplay among the various roles of the ball in Euclidean space. Later chapters deal with trigonometry and differential geometry in Minkowski spaces. The book ends with a brief look at J. J. Schaffer's ideas on the intrinsic geometry of the unit sphere.

Accroissements De La Biblioth Que Centrale Fonds Quetelet

Author : Bibliothèque centrale (Fonds Quetelet)
ISBN : STANFORD:36105008428984
Genre :
File Size : 54. 13 MB
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L Enseignement Math Matique

Author :
ISBN : UCAL:B4022824
Genre : Mathematics
File Size : 61. 1 MB
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Vols. for 1965- include a separately paged section, Bulletin bibliographique.

New Technical Books

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ISBN : UOM:39015063566254
Genre : Engineering
File Size : 75. 11 MB
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American Book Publishing Record

Author :
ISBN : UOM:39015016313598
Genre : United States
File Size : 42. 19 MB
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Encyclopaedia Of Mathematics

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ISBN : UOM:49015003026110
Genre : Mathematics
File Size : 66. 9 MB
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