Buch, Englisch, 286 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 685 g
Reihe: ISSN
Mathematics for Innovation in Industry and Science
Buch, Englisch, 286 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 685 g
Reihe: ISSN
ISBN: 978-3-11-022612-6
Verlag: De Gruyter
This volume contains the proceedings of the conference "Casimir Force, Casimir Operators and the Riemann Hypothesis – Mathematics for Innovation in Industry and Science" held in November 2009 in Fukuoka (Japan). The motive for the conference was the celebration of the 100th birthday of Casimir and the 150th birthday of the Riemann hypothesis. The conference focused on the following topics: - Casimir operators in harmonic analysis and representation theory - Number theory, in particular zeta functions and cryptography - Casimir force in physics and its relation with nano-science - Mathematical biology - Importance of mathematics for innovation in industry
The latter topic was inspired both by the call for innovation in industry worldwide and by the fact that Casimir, who was the director of Philips research for a long time in his career, had an outspoken opinion on the importance of fundamental science for industry. These proceedings are of interest both to research mathematicians and to those interested in the role science, and in particular mathematics, can play in innovation in industry.
Zielgruppe
Researchers, Graduate Students; Academic Libraries
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
Frontmatter
Contents
Raising the profile of mathematics
Casimir and lessons for innovation
Mathematics in the industrial environment: Dutch perspective
The Riemann Hypothesis – a short history
Pairing-based cryptography and ist security analysis
Zeta functions and Casimir energies on infinite symmetric groups II
An algorithm for generating rational points and hash functions into elliptic curves
A Casimir force in dimer systems
Ruelle zeta function and prime geodesic theorem for hyperbolic manifolds with cusps
The dual pair (Op;q;OeSp2;2) and Maxwell’s equations
On extensions of the tensor algebra
From monoids to hyperstructures: in search of an absolute arithmetic
Arithmetics derived from the non-commutative harmonic oscillator
Hyperbolic structures and root systems
Multiplicity one theorems and the Casimir operator
Approaching quantization in the light of invariant differential operators
Invitation to nonadditive arithmetical geometry
Absolute zeta functions, absolute Riemann hypothesis and absolute Casimir energies
The Hilbert–Polya strategy and height pairings
Backmatter
