The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1993
|
| Schriftenreihe: | Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application
58 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 mathematics, 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 mathematical 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 practically 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 Contrary to these outdated fossilized opinions, we believe "the world is Finslerian" in a true sense and we will try to show this in our application in thermodynamics, optics, ecology,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 |
| Beschreibung: | 1 Online-Ressource (XVI, 312 p) |
| ISBN: | 9789401581943 9789048143412 |
| DOI: | 10.1007/978-94-015-8194-3 |
Internformat
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| 245 | 1 | 0 | |a The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology |c by P. L. Antonelli, R. S. Ingarden, M. Matsumoto |
| 264 | 1 | |a Dordrecht |b Springer Netherlands |c 1993 | |
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| 490 | 1 | |a Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application |v 58 | |
| 500 | |a 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 mathematics, 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 mathematical 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 practically 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 | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Aquatic biology | |
| 650 | 4 | |a Global differential geometry | |
| 650 | 4 | |a Differential Geometry | |
| 650 | 4 | |a Optics, Optoelectronics, Plasmonics and Optical Devices | |
| 650 | 4 | |a Mathematical and Computational Biology | |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Antonelli, P. L. |
| author_GND | (DE-588)172162955 (DE-588)1089456123 |
| author_facet | Antonelli, P. L. |
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| author_sort | Antonelli, P. L. |
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| bvnumber | BV042416163 |
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| dewey-full | 516.36 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.36 |
| dewey-search | 516.36 |
| dewey-sort | 3516.36 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-94-015-8194-3 |
| format | Electronic eBook |
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| id | DE-604.BV042416163 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:20:59Z |
| institution | BVB |
| isbn | 9789401581943 9789048143412 |
| language | English |
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| oclc_num | 905357902 |
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| physical | 1 Online-Ressource (XVI, 312 p) |
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| series2 | Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application |
| spelling | Antonelli, P. L. Verfasser aut The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology by P. L. Antonelli, R. S. Ingarden, M. Matsumoto Dordrecht Springer Netherlands 1993 1 Online-Ressource (XVI, 312 p) txt rdacontent c rdamedia cr rdacarrier Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application 58 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 mathematics, 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 mathematical 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 practically 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 Mathematics Aquatic biology Global differential geometry Differential Geometry Optics, Optoelectronics, Plasmonics and Optical Devices Mathematical and Computational Biology Statistical Physics, Dynamical Systems and Complexity Freshwater & Marine Ecology Mathematik Ingarden, Roman S. 1920-2011 Sonstige (DE-588)172162955 oth Matsumoto, Makoto 1920-2005 Sonstige (DE-588)1089456123 oth Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics Their Clarification, Development and Application 58 (DE-604)BV000012461 58 https://doi.org/10.1007/978-94-015-8194-3 Verlag Volltext |
| spellingShingle | Antonelli, P. L. The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology Mathematics Aquatic biology Global differential geometry Differential Geometry Optics, Optoelectronics, Plasmonics and Optical Devices Mathematical and Computational Biology Statistical Physics, Dynamical Systems and Complexity Freshwater & Marine Ecology Mathematik |
| title | The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology |
| title_auth | The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology |
| title_exact_search | The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology |
| title_full | The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology by P. L. Antonelli, R. S. Ingarden, M. Matsumoto |
| title_fullStr | The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology by P. L. Antonelli, R. S. Ingarden, M. Matsumoto |
| title_full_unstemmed | The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology by P. L. Antonelli, R. S. Ingarden, M. Matsumoto |
| title_short | The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology |
| title_sort | the theory of sprays and finsler spaces with applications in physics and biology |
| topic | Mathematics Aquatic biology Global differential geometry Differential Geometry Optics, Optoelectronics, Plasmonics and Optical Devices Mathematical and Computational Biology Statistical Physics, Dynamical Systems and Complexity Freshwater & Marine Ecology Mathematik |
| topic_facet | Mathematics Aquatic biology Global differential geometry Differential Geometry Optics, Optoelectronics, Plasmonics and Optical Devices Mathematical and Computational Biology Statistical Physics, Dynamical Systems and Complexity Freshwater & Marine Ecology Mathematik |
| url | https://doi.org/10.1007/978-94-015-8194-3 |
| volume_link | (DE-604)BV000012461 |
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