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This proceedings volume focusses on the applications of geometry in present day science. It contains contributions from a variety of fields, including biology, computer science, mathematics, medicine, physics and stochastics.
Sample Chapter(s)
Quantum Geometry (557 KB)
Contents:
- Quantum Geometry (J Ambjørn)
- Extending the Fisher Metric to Density Matrices (D Petz & Cs Sudár)
- Geometry of Quantum Information Systems (A Fujiwara)
- Information Geometric Analysis of an Interior Point Method for Semidefinite Programming (A Ohara)
- Diffusion Processes, Manifolds of Exponential Densities, and Nonlinear Filtering (D Brigo)
- From Computerized to Geometric and Discrete Topography (R J Gardner)
- The Use of the Generalized Blaschke–Petkantschin Formula in Local Stereology and Its Proof by Induction (E B V Jensen & J Nielsen)
- The Stereological Estimation of the Euler–Poincaré Characteristic Exemplified with Networks of Capillaries and Cancellous Bone (J R Nyengaard & H J G Gundersen)
- Geometry, Statistics, and Shape (W S Kendall)
- Solutions to Nonlinear Partial Differential Equations: A Geometric Approach (S D Peckham)
- Voronoi Diagrams and Morse Theory of the Distance Function (D Siersma)
Readership: Researchers, teachers and graduate students in mathematics and its applications particularly the fields of quantum geometry, differential and stochastics.
