Finslerian Geometries: A Meeting of Minds: Fundamental Theories of Physics, cartea 109
Editat de P.L. Antonellien Limba Engleză Hardback – 31 dec 1999
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Specificații
ISBN-13: 9780792361152
ISBN-10: 0792361156
Pagini: 312
Ilustrații: VIII, 312 p.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.63 kg
Ediția:2000
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Fundamental Theories of Physics
Locul publicării:Dordrecht, Netherlands
ISBN-10: 0792361156
Pagini: 312
Ilustrații: VIII, 312 p.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.63 kg
Ediția:2000
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Fundamental Theories of Physics
Locul publicării:Dordrecht, Netherlands
Public țintă
ResearchCuprins
Section I. Pedagogy.- Generalizations of Finsler Geometry.- Finsler Geometry Inspired.- Finsler Geometry.- Section II. Summary and Overview.- Summary and Overview.- Section III. Meeting of Minds.- Some Remarks On the Conformal Equivalence of Complex Finsler Structures.- Deformations of Finsler Metrics.- The Constant Sprays of Classical Ecology and Noisy Finsler Perturbations.- On the Geometry of a Homogeneous Contact Transformation.- On Finsler Spaces of Douglas Type III.- Equations of Motion from Finsler Geometric Methods.- On the Theory of Finsler Submanifolds.- Finslerian Fields.- On the Inverse Problem of the Calculus of Variations for Systems of Second-Order Ordinary Differential Equations.- Complex Finsler Geometry Via the Equivalence Problem on the Tangent Bundle.- Lévy Concentration of Metric Measure Manifolds.- Hypersurfaces in Generalised Lagrange Spaces.- The Notion of Higher Order Finsler Space. Theory and Applications.- Generalized Complex Lagrange Spaces.- Gravity in Finsler Spaces.- Higher Order Ecological Metrics.- Area and Metrical Connections in Finsler Space.- Problem.- Finslerian Convexity and Optimization.- On Projective Transformations and Conformal Transformations of the Tangent Bundles of Riemannian Manifolds.
Recenzii
`aside from being well organized, typesetting of the book as well as proof reading is done very carefully. The layout is professional. The book deserves attention not only from mathematicians but also from natural scientists, especially for theoretical physics. It certainly helps to overcome such judges about Finsler Geometry like `an impenetrable forest whose entire vegetation consists of tenors'or `a jungle of tenors'. This book is highly readable and exciting.'
Journal of Geodesy, 75:(5-6)(2001)
`It will be of interest to physicist and mathematicians whose work involves quantum field theory, general relativity and gravitation, programming and optimization. Mathematical biologist working in ecology and evolution will also find it useful.'
General Relativity and Gravitation, 33:7 (2001)
`Aside from being well organized, typesetting of the book as well as proof reading is done very carefully. The layout is professional.. Nevertheless, this book is highly readable and exciting.'
Journal of Geodesy, 75:337-342 (2001)
Journal of Geodesy, 75:(5-6)(2001)
`It will be of interest to physicist and mathematicians whose work involves quantum field theory, general relativity and gravitation, programming and optimization. Mathematical biologist working in ecology and evolution will also find it useful.'
General Relativity and Gravitation, 33:7 (2001)
`Aside from being well organized, typesetting of the book as well as proof reading is done very carefully. The layout is professional.. Nevertheless, this book is highly readable and exciting.'
Journal of Geodesy, 75:337-342 (2001)