Lagrange Geometry Finsler Spaces And Noise Applied In Biology And Physics

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Lagrange and Finsler Geometry

Author : P.L. Antonelli
Publisher : Springer Science & Business Media
ISBN 13 : 9401586500
Total Pages : 285 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Lagrange and Finsler Geometry by : P.L. Antonelli

Download or read book Lagrange and Finsler Geometry written by P.L. Antonelli and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The differential geometry of a regular Lagrangian is more involved than that of classical kinetic energy and consequently is far from being Riemannian. Nevertheless, such geometries are playing an increasingly important role in a wide variety of problems in fields ranging from relativistic optics to ecology. The present collection of papers will serve to bring the reader up-to-date on the most recent advances. Subjects treated include higher order Lagrange geometry, the recent theory of -Lagrange manifolds, electromagnetic theory and neurophysiology. Audience: This book is recommended as a (supplementary) text in graduate courses in differential geometry and its applications, and will also be of interest to physicists and mathematical biologists.

The Geometry of Higher-Order Lagrange Spaces

Author : R. Miron
Publisher : Springer Science & Business Media
ISBN 13 : 9401733384
Total Pages : 351 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis The Geometry of Higher-Order Lagrange Spaces by : R. Miron

Download or read book The Geometry of Higher-Order Lagrange Spaces written by R. Miron and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the problem of the geometrizing of Lagrangians which depend on higher-order accelerations. It presents a construction of the geometry of the total space of the bundle of the accelerations of order k>=1. A geometrical study of the notion of the higher-order Lagrange space is conducted, and the old problem of prolongation of Riemannian spaces to k-osculator manifolds is solved. Also, the geometrical ground for variational calculus on the integral of actions involving higher-order Lagrangians is dealt with. Applications to higher-order analytical mechanics and theoretical physics are included as well. Audience: This volume will be of interest to scientists whose work involves differential geometry, mechanics of particles and systems, calculus of variation and optimal control, optimization, optics, electromagnetic theory, and biology.

Finslerian Geometries

Author : P.L. Antonelli
Publisher : Springer Science & Business Media
ISBN 13 : 9401142351
Total Pages : 305 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Finslerian Geometries by : P.L. Antonelli

Download or read book Finslerian Geometries written by P.L. Antonelli and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Theory of Finslerian Laplacians and Applications

Author : P.L. Antonelli
Publisher : Springer Science & Business Media
ISBN 13 : 9401152829
Total Pages : 305 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis The Theory of Finslerian Laplacians and Applications by : P.L. Antonelli

Download or read book The Theory of Finslerian Laplacians and Applications written by P.L. Antonelli and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finslerian Laplacians have arisen from the demands of modelling the modern world. However, the roots of the Laplacian concept can be traced back to the sixteenth century. Its phylogeny and history are presented in the Prologue of this volume. The text proper begins with a brief introduction to stochastically derived Finslerian Laplacians, facilitated by applications in ecology, epidemiology and evolutionary biology. The mathematical ideas are then fully presented in section II, with generalizations to Lagrange geometry following in section III. 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. Similar results are proved in sections II and IV, each from different perspectives. Modern topics treated include nonlinear Laplacians, Bochner and Lichnerowicz vanishing theorems, Weitzenböck formulas, and Finslerian spinors and Dirac operators. The tools developed in this book will find uses in several areas of physics and engineering, but especially in the mechanics of inhomogeneous media, e.g. Cofferat continua. Audience: This text will be of use to workers in stochastic processes, differential geometry, nonlinear analysis, epidemiology, ecology and evolution, as well as physics of the solid state and continua.

Encyclopaedia of Mathematics

Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9401512884
Total Pages : 595 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first Supplementary volume to Kluwer's highly acclaimed Encyclopaedia of Mathematics. This additional volume contains nearly 600 new entries written by experts and covers developments and topics not included in the already published 10-volume set. These entries have been arranged alphabetically throughout. A detailed index is included in the book. This Supplementary volume enhances the existing 10-volume set. Together, these eleven volumes represent the most authoritative, comprehensive up-to-date Encyclopaedia of Mathematics available.

New Trends in Stochastic Analysis and Related Topics

Author : Huaizhong Zhao
Publisher : World Scientific
ISBN 13 : 9814360910
Total Pages : 458 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis New Trends in Stochastic Analysis and Related Topics by : Huaizhong Zhao

Download or read book New Trends in Stochastic Analysis and Related Topics written by Huaizhong Zhao and published by World Scientific. This book was released on 2012 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume is dedicated to Professor David Elworthy to celebrate his fundamental contribution and exceptional influence on stochastic analysis and related fields. Stochastic analysis has been profoundly developed as a vital fundamental research area in mathematics in recent decades. It has been discovered to have intrinsic connections with many other areas of mathematics such as partial differential equations, functional analysis, topology, differential geometry, dynamical systems, etc. Mathematicians developed many mathematical tools in stochastic analysis to understand and model random phenomena in physics, biology, finance, fluid, environment science, etc. This volume contains 12 comprehensive review/new articles written by world leading researchers (by invitation) and their collaborators. It covers stochastic analysis on manifolds, rough paths, Dirichlet forms, stochastic partial differential equations, stochastic dynamical systems, infinite dimensional analysis, stochastic flows, quantum stochastic analysis and stochastic Hamilton Jacobi theory. Articles contain cutting edge research methodology, results and ideas in relevant fields. They are of interest to research mathematicians and postgraduate students in stochastic analysis, probability, partial differential equations, dynamical systems, mathematical physics, as well as to physicists, financial mathematicians, engineers, etc.

Memoirs of the Scientific Sections of the Academy of the Socialist Republic of Romania

Author :
Publisher :
ISBN 13 :
Total Pages : 1178 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Memoirs of the Scientific Sections of the Academy of the Socialist Republic of Romania by :

Download or read book Memoirs of the Scientific Sections of the Academy of the Socialist Republic of Romania written by and published by . This book was released on 1997 with total page 1178 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analele științifice ale Universității "Al. I. Cuza" din Iași

Download Analele științifice ale Universității

Author :
Publisher :
ISBN 13 :
Total Pages : 1102 pages
Book Rating : 4.3/5 ( download)

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Book Synopsis Analele științifice ale Universității "Al. I. Cuza" din Iași by :

Download or read book Analele științifice ale Universității "Al. I. Cuza" din Iași written by and published by . This book was released on 1997 with total page 1102 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1320 pages
Book Rating : 4.X/5 (2 download)

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Download or read book Mathematical Reviews written by and published by . This book was released on 1995 with total page 1320 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tensor

Author :
Publisher :
ISBN 13 :
Total Pages : 382 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Tensor by :

Download or read book Tensor written by and published by . This book was released on 2007 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lagrange and Finsler Geometry

Author : P.L. Antonelli
Publisher : Springer
ISBN 13 : 0792338731
Total Pages : 284 pages
Book Rating : 4.7/5 (923 download)

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Book Synopsis Lagrange and Finsler Geometry by : P.L. Antonelli

Download or read book Lagrange and Finsler Geometry written by P.L. Antonelli and published by Springer. This book was released on 1995-12-31 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Lagrange 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] .

Finsler Geometry and Applications

Author : Aurel Bejancu
Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Finsler Geometry and Applications by : Aurel Bejancu

Download or read book Finsler Geometry and Applications written by Aurel Bejancu and published by . This book was released on 1990 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Non-Newtonian Calculus

Author : Michael Grossman
Publisher : Non-Newtonian Calculus
ISBN 13 : 9780912938011
Total Pages : 108 pages
Book Rating : 4.9/5 (38 download)

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Book Synopsis Non-Newtonian Calculus by : Michael Grossman

Download or read book Non-Newtonian Calculus written by Michael Grossman and published by Non-Newtonian Calculus. This book was released on 1972 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: The non-Newtonian calculi provide a wide variety of mathematical tools for use in science, engineering, and mathematics. They appear to have considerable potential for use as alternatives to the classical calculus of Newton and Leibniz. It may well be that these calculi can be used to define new concepts, to yield new or simpler laws, or to formulate or solve problems.

International Books in Print

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Publisher :
ISBN 13 :
Total Pages : 1332 pages
Book Rating : 4.3/5 (91 download)

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Download or read book International Books in Print written by and published by . This book was released on 1998 with total page 1332 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mind and Nature

Author : Hermann Weyl
Publisher : University of Pennsylvania Press
ISBN 13 : 1512819328
Total Pages : 112 pages
Book Rating : 4.5/5 (128 download)

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Book Synopsis Mind and Nature by : Hermann Weyl

Download or read book Mind and Nature written by Hermann Weyl and published by University of Pennsylvania Press. This book was released on 2015-09-30 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new study of the mathematical-physical mode of cognition.

The Fundamental Theorem of Algebra

Author : Benjamin Fine
Publisher : Springer Science & Business Media
ISBN 13 : 1461219280
Total Pages : 220 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Fundamental Theorem of Algebra by : Benjamin Fine

Download or read book The Fundamental Theorem of Algebra written by Benjamin Fine and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental theorem of algebra states that any complex polynomial must have a complex root. This book examines three pairs of proofs of the theorem from three different areas of mathematics: abstract algebra, complex analysis and topology. The first proof in each pair is fairly straightforward and depends only on what could be considered elementary mathematics. However, each of these first proofs leads to more general results from which the fundamental theorem can be deduced as a direct consequence. These general results constitute the second proof in each pair. To arrive at each of the proofs, enough of the general theory of each relevant area is developed to understand the proof. In addition to the proofs and techniques themselves, many applications such as the insolvability of the quintic and the transcendence of e and pi are presented. Finally, a series of appendices give six additional proofs including a version of Gauss'original first proof. The book is intended for junior/senior level undergraduate mathematics students or first year graduate students, and would make an ideal "capstone" course in mathematics.

From Riemann to Differential Geometry and Relativity

Author : Lizhen Ji
Publisher : Springer
ISBN 13 : 3319600397
Total Pages : 664 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis From Riemann to Differential Geometry and Relativity by : Lizhen Ji

Download or read book From Riemann to Differential Geometry and Relativity written by Lizhen Ji and published by Springer. This book was released on 2017-10-03 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. It features contributions from a range of fields, historical expositions, and selected research articles that were motivated by Riemann’s ideas and demonstrate their timelessness. The editors are convinced of the tremendous value of going into Riemann’s work in depth, investigating his original ideas, integrating them into a broader perspective, and establishing ties with modern science and philosophy. Accordingly, the contributors to this volume are mathematicians, physicists, philosophers and historians of science. The book offers a unique resource for students and researchers in the fields of mathematics, physics and philosophy, historians of science, and more generally to a wide range of readers interested in the history of ideas.