{"title":"Pl Antonelli","description":null,"products":[{"product_id":"fundamentals-of-finslerian-diffusion-with-applications-book-pl-antonelli-9780792355113","title":"Fundamentals of Finslerian Diffusion with Applications","description":"This is a text on stochastic Finslerian geometry.The theory is rigorously presented and several applications in ecology, evolution and epidemiology are described. Amongst the various topics covered are the role of curvature in Finslerian diffusions, Nelson's stochastic mechanics, non-linear (Finslerian) filtering and entropy production. Two appendices deal with, respectively, the stochastic Hodge theory of Finslerian harmonic forms, and the theory of 2-dimensional Finsler spaces. The latter plays an important role in the applications described in the text. This volume should be of interest to probabilists, applied mathematicians, mathematical biologists and geometers. It can also be recommended as a supplementary graduate text.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52138570842385,"sku":"NLS9780792355113","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780792355113.jpg?v=1757563660"},{"product_id":"theory-of-sprays-and-finsler-spaces-with-applications-in-physics-and-biology-book-pl-antonelli-9780792325772","title":"The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology","description":"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.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52333384433937,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52333385122065,"sku":"NLS9780792325772","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780792325772.jpg?v=1758154592"},{"product_id":"lagrange-and-finsler-geometry-book-pl-antonelli-9780792338734","title":"Lagrange and Finsler Geometry","description":"The differential geometry of a regular Lagrangian is more involved than that of classical kinetic energy and consequently is far from being Riemannian. This collection of papers covers higher order Lagrange geometry, the theory of -Lagrange manifolds, electromagnetic theory and neurophysiology.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52343369859345,"sku":"NLS9780792338734","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52740065001745,"sku":"NIN9780792338734","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780792338734.jpg?v=1785868566"},{"product_id":"fundamentals-of-finslerian-diffusion-with-applications-book-pl-antonelli-9789401060233","title":"Fundamentals of Finslerian Diffusion with Applications","description":"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.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52351064080657,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52351064801553,"sku":"NLS9789401060233","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9789401060233.jpg?v=1786017320"},{"product_id":"finslerian-geometries-book-pl-antonelli-9789401058384","title":"Finslerian Geometries","description":"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 I is the main body of work. It is arranged in alphabetical order, by author. Section I 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.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52409497125137,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52409500926225,"sku":"NLS9789401058384","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9789401058384.jpg?v=1758775007"},{"product_id":"theory-of-finslerian-laplacians-and-applications-book-pl-antonelli-9789401062237","title":"The Theory of Finslerian Laplacians and Applications","description":"Finslerian Laplacians have arisen from the demands of modelling  the modern world. With section IV, the focus abruptly  shifts to the local mean-value approach to Finslerian Laplacians and a  Hodge-de Rham theory is developed for the representation on  real cohomology classes by harmonic forms on the base manifold.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52410554810641,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52410555040017,"sku":"NLS9789401062237","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9789401062237.jpg?v=1785851121"},{"product_id":"theory-of-finslerian-laplacians-and-applications-book-pl-antonelli-9780792353133","title":"The Theory of Finslerian Laplacians and Applications","description":"Finslerian Laplacians have arisen from the demands of modelling  the modern world. With section IV, the focus abruptly  shifts to the local mean-value approach to Finslerian Laplacians and a  Hodge-de Rham theory is developed for the representation on  real cohomology classes by harmonic forms on the base manifold.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52428718342417,"sku":"NLS9780792353133","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52740054515985,"sku":"NIN9780792353133","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780792353133.jpg?v=1785786182"},{"product_id":"lagrange-and-finsler-geometry-book-pl-antonelli-9789048146567","title":"Lagrange and Finsler Geometry","description":"Since 1992 Finsler geometry, Lagrange geometry and their applications to physics and biology, have been intensive1y studied in the context of a 5-year program called \"Memorandum ofUnderstanding\", between the University of Alberta and \"AL.1. CUZA\" University in lasi, Romania. The conference, whose proceedings appear in this collection, belongs to that program and aims to provide a forum for an exchange of ideas and information on recent advances in this field. Besides the Canadian and Romanian researchers involved, the conference benefited from the participation of many specialists from Greece, Hungary and Japan. This proceedings is the second publication of our study group. The first was Lagrange Geometry. Finsler spaces and Noise Applied in Biology and Physics (1]. Lagrange geometry, which is concerned with regular Lagrangians not necessarily homogeneous with respect to the rate (i.e. velocities or production) variables, naturalIy extends Finsler geometry to alIow the study of, for example, metrical structures (i.e. energies) which are not homogeneous in these rates. Most Lagrangians arising in physics falI into this class, for example.\nLagrange geometry and its applications in general relativity, unified field theories and re1ativistic optics has been developed mainly by R. Miron and his students and collaborators in Romania, while P. Antonelli and his associates have developed models in ecology, development and evolution and have rigorously laid the foundations ofFinsler diffusion theory [1] .","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52477845012753,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52477846126865,"sku":"NLS9789048146567","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9789048146567.jpg?v=1787137192"},{"product_id":"theory-of-sprays-and-finsler-spaces-with-applications-in-physics-and-biology-book-pl-antonelli-9789048143412","title":"The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology","description":"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.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52481717043473,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52481718354193,"sku":"NLS9789048143412","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9789048143412.jpg?v=1759852137"},{"product_id":"finslerian-geometries-book-pl-antonelli-9780792361152","title":"Finslerian Geometries","description":"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 I is the main body of work. It is arranged in alphabetical order, by author. Section I 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.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52656843686161,"sku":"NLS9780792361152","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780792361152.jpg?v=1786615616"}],"url":"https:\/\/www.worldofbooks.com\/en-gb\/collections\/author-books-by-pl-antonelli.oembed","provider":"World of Books ","version":"1.0","type":"link"}