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Item Details
| Title:
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THE THEORY OF SPRAYS AND FINSLER SPACES WITH APPLICATIONS IN PHYSICS AND BIOLOGY
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| By: |
P. L. Antonelli, Roman S. Ingarden, M. Matsumoto |
| Format: |
Hardback |
| List price:
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£199.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
079232577X |
| ISBN 13: |
9780792325772 |
| Publisher: |
KLUWER ACADEMIC PUBLISHERS |
| Pub. date: |
31 October, 1993 |
| Edition: |
1993 ed. |
| Series: |
Fundamental Theories of Physics v. 58 |
| Pages: |
312 |
| Description: |
Presents the principles and methods of sprays (path spaces) and Finsler spaces with various applications in the physical and life sciences. Beginning from the classical theory of sprays, this book presents an introduction to modern Finsler differential geometry. It is suitable for geometers, physicists and theoretical (marine) biologists. |
| Synopsis: |
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 Contrary to these outdated fossilized opinions, we believe "the world is Finslerian" in a true sense and we will try to show this in our application in thermodynamics, optics, ecology,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. |
| Illustrations: |
biography |
| Publication: |
US |
| Imprint: |
Kluwer Academic Publishers |
| Returns: |
Returnable |
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