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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology

The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology

Antonelli, P. L.
Matsumoto, M.
Ingarden, Roman S.

Hardcover

Series: Fundamental Theories of Physics, Book 58

Technology & EngineeringEnvironmental StudiesGeometry

ISBN10: 079232577X
ISBN13: 9780792325772
Publisher: Springer Nature
Published: Oct 31 1993
Pages: 312
Weight: 1.41
Height: 0.75 Width: 6.14 Depth: 9.21
Language: English
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 Contrary to these outdated fossilized opinions, we believe the world is Finslerian in a true sense and we will try to show this in our application in thermodynamics, optics, ecology,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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