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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Antonelli, P.L |
Finslerian Geometries |
I10811 |
2000 |
eBook |
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| 2 |
Antonelli, P.L |
The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology |
I05168 |
1993 |
eBook |
|
| 3 |
Antonelli, P.L |
Fundamentals of Finslerian Diffusion with Applications |
I03156 |
1999 |
eBook |
|
| 4 |
Antonelli, P.L |
Lagrange and Finsler Geometry |
I02623 |
1996 |
eBook |
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1.
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| Title | Finslerian Geometries : A Meeting of Minds |
| Author(s) | Antonelli, P.L |
| Publication | Dordrecht, Springer Netherlands, 2000. |
| Description | VIII, 312 p : online resource |
| Abstract Note | The International Conference on Finsler and Lagrange Geometry and its Applications: A Meeting of Minds, took place August 13-20, 1998 at the University of Alberta in Edmonton, Canada. The main objective of this meeting was to help acquaint North American geometers with the extensive modern literature on Finsler geometry and Lagrange geometry of the Japanese and European schools, each with its own venerable history, on the one hand, and to communicate recent advances in stochastic theory and Hodge theory for Finsler manifolds by the younger North American school, on the other. The intent was to bring together practitioners of these schools of thought in a Canadian venue where there would be ample opportunity to exchange information and have cordial personal interactions. The present set of refereed papers begins ??with the Pedagogical Sec?? tion I, where introductory and brief survey articles are presented, one from the Japanese School and two from the European School (Romania and Hungary). These have been prepared for non-experts with the intent of explaining basic points of view. The Section III is the main body of work. It is arranged in alphabetical order, by author. Section II gives a brief account of each of these contribu?? tions with a short reference list at the end. More extensive references are given in the individual articles |
| ISBN,Price | 9789401142359 |
| Keyword(s) | 1. DIFFERENTIAL GEOMETRY
2. EBOOK
3. EBOOK - SPRINGER
4. ECOLOGY
5. Ecology??
6. Elementary particles (Physics)
7. Elementary Particles, Quantum Field Theory
8. MATHEMATICAL OPTIMIZATION
9. MATHEMATICAL PHYSICS
10. OPTIMIZATION
11. QUANTUM FIELD THEORY
12. Theoretical, Mathematical and Computational Physics
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I10811 |
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On Shelf |
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2.
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| Title | The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology |
| Author(s) | Antonelli, P.L;Ingarden, Roman S;Matsumoto, M |
| Publication | Dordrecht, Springer Netherlands, 1993. |
| Description | XVI, 312 p : online resource |
| Abstract Note | 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 |
| ISBN,Price | 9789401581943 |
| Keyword(s) | 1. Aquatic ecology??
2. BIOMATHEMATICS
3. COMPLEX SYSTEMS
4. DIFFERENTIAL GEOMETRY
5. DYNAMICAL SYSTEMS
6. EBOOK
7. EBOOK - SPRINGER
8. Freshwater & Marine Ecology
9. LASERS
10. Mathematical and Computational Biology
11. Optics, Lasers, Photonics, Optical Devices
12. PHOTONICS
13. STATISTICAL PHYSICS
14. Statistical Physics and Dynamical Systems
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I05168 |
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On Shelf |
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3.
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| Title | Fundamentals of Finslerian Diffusion with Applications |
| Author(s) | Antonelli, P.L;Zastawniak, T.J |
| Publication | Dordrecht, Springer Netherlands, 1999. |
| Description | VII, 205 p : online resource |
| Abstract Note | The erratic motion of pollen grains and other tiny particles suspended in liquid is known as Brownian motion, after its discoverer, Robert Brown, a botanist who worked in 1828, in London. He turned over the problem of why this motion occurred to physicists who were investigating kinetic theory and thermodynamics; at a time when the existence of molecules had yet to be established. In 1900, Henri Poincare lectured on this topic to the 1900 International Congress of Physicists, in Paris [Wic95]. At this time, Louis Bachelier, a thesis student of Poincare, made a monumental breakthrough with his Theory of Stock Market Fluctuations, which is still studied today, [Co064]. Norbert Wiener (1923), who was first to formulate a rigorous concept of the Brownian path, is most often cited by mathematicians as the father of the subject, while physicists will cite A. Einstein (1905) and M. Smoluchowski. Both considered Markov diffusions and realized that Brownian behaviour nd could be formulated in terms of parabolic 2 order linear p. d. e. 'so Further?? more, from this perspective, the covariance of changes in position could be allowed to depend on the position itself, according to the invariant form of the diffusion introduced by Kolmogorov in 1937, [KoI37]. Thus, any time?? homogeneous Markov diffusion could be written in terms of the Laplacian, intrinsically given by the symbol (covariance) of the p. d. e. , plus a drift vec?? tor. The theory was further advanced in 1949, when K |
| ISBN,Price | 9789401148245 |
| Keyword(s) | 1. DIFFERENTIAL GEOMETRY
2. EBOOK
3. EBOOK - SPRINGER
4. Evolutionary Biology
5. GLOBAL ANALYSIS (MATHEMATICS)
6. Global Analysis and Analysis on Manifolds
7. Manifolds (Mathematics)
8. PROBABILITIES
9. Probability Theory and Stochastic Processes
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I03156 |
|
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On Shelf |
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