MARC Record from Harvard University

LEADER: 03300nam a22004815a 4500
001 013835615-7
005 20131206200620.0
008 130220s1993 ne | s ||0| 0|eng d
020 $a9789401581943
020 $a9789401581943
020 $a9789048143412
024 7 $a10.1007/978-94-015-8194-3$2doi
035 $a(Springer)9789401581943
040 $aSpringer
050 4 $aQA641-670
072 7 $aPBMP$2bicssc
072 7 $aMAT012030$2bisacsh
082 04 $a516.36$223
100 1 $aAntonelli, P. L.,$eauthor.
245 14 $aThe Theory of Sprays and Finsler Spaces with Applications in Physics and Biology /$cby P. L. Antonelli, R. S. Ingarden, M. Matsumoto.
264 1 $aDordrecht :$bSpringer Netherlands :$bImprint: Springer,$c1993.
300 $aXV, 311 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aFundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application ;$v58
520 $aThis volume presents the principles and methods of sprays (path spaces) and Finsler spaces with many applications in the physical and life sciences. The book has six chapters and an extensive reference section. Beginning from the classical theory of sprays, Chapter 0 presents an introduction to modern Finsler differential geometry. The following three chapters can serve as a comprehensive graduate course using the notions of pre-Finsler connections in spray bundles. Topics covered are the calculus of variations and Finsler metric functions, spaces of constant curvature, projective and conformal geometry, two-dimensional Finsler spaces, Beswald spaces, (alpha, beta)-metrics, etc. Chapter 4 deals with the Finslerian view of dissipative mechanics, thermodynamics and information, and geometrical and electron optics. Chapter 5 discusses, from a Finslerian perspective, ecological problems and models, with particular reference to the Great Barrier Reef. Spray connection theory is shown to be indispensable for a logically consistent theory of social interactions. Projective Finsler geometry and Wagner connection theory are used to model time-sequencing changes in growth and development. Some direct applications to fossil measurements in paleontology are also described. For geometers, physicists and theoretical (marine) biologists, the book can also be recommended as a supplementary graduate text.
650 20 $aGeometry, Differential.
650 10 $aMathematics.
650 0 $aMathematics.
650 0 $aAquatic biology.
650 0 $aGlobal differential geometry.
650 24 $aOptics, Optoelectronics, Plasmonics and Optical Devices.
650 24 $aMathematical and Computational Biology.
650 24 $aStatistical Physics, Dynamical Systems and Complexity.
650 24 $aFreshwater & Marine Ecology.
700 1 $aMatsumoto, M.,$eauthor.
700 1 $aIngarden, R. S.,$eauthor.
776 08 $iPrinted edition:$z9789048143412
830 0 $aFundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application ;$v58.
988 $a20131114
906 $0VEN