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GEOMETRY IN PRESENT DAY SCIENCE
Proceedings of the Conference
University of Aarhus, Denmark 16 - 18 January 1998

edited by Ole E Barndorff-Nielsen & Eva B Vedel Jensen (University of Aarhus, Denmark)

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.


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.

216pp Pub. date: Mar 1999
ISBN 981-02-3672-7 US$57 / £36


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Updated on 6 October 2008