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Books > Science & Mathematics > Mathematics > Geometry > Analytic geometry
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The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology (Hardcover, 1993 ed.)
Loot Price: R6,066
Discovery Miles 60 660
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The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology (Hardcover, 1993 ed.)
Series: Fundamental Theories of Physics, 58
Expected to ship within 10 - 15 working days
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The present book has been written by two mathematicians and one
physicist: a pure mathematician specializing in Finsler geometry
(Makoto Matsumoto), one working in mathematical biology (Peter
Antonelli), and a mathematical physicist specializing in
information thermodynamics (Roman Ingarden). The main purpose of
this book is to present the principles and methods of sprays (path
spaces) and Finsler spaces together with examples of applications
to physical and life sciences. It is our aim to write an
introductory book on Finsler geometry and its applications at a
fairly advanced level. It is intended especially for graduate
students in pure mathemat ics, science and applied mathematics, but
should be also of interest to those pure "Finslerists" who would
like to see their subject applied. After more than 70 years of
relatively slow development Finsler geometry is now a modern
subject with a large body of theorems and techniques and has math
ematical content comparable to any field of modern differential
geometry. The time has come to say this in full voice, against
those who have thought Finsler geometry, because of its
computational complexity, is only of marginal interest and with
prac tically no interesting applications. Contrary to these
outdated fossilized opinions, we believe "the world is Finslerian"
in a true sense and we will try to show this in our application in
thermodynamics, optics, ecology, evolution and developmental
biology. On the other hand, while the complexity of the subject has
not disappeared, the modern bundle theoretic approach has increased
greatly its understandability."
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