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Amazon Restaurants Food delivery from local restaurants. ComiXology Thousands of Digital Comics. 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 [phi]-Lagrange manifolds, electromagnetic theory and neurophysiology.
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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 theory of Finslerian Laplacians and applications by Peter L Antonelli Book 10 editions published in in English and held by WorldCat member libraries worldwide 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. 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.
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. Volterra-Hamilton models in the ecology and evolution of colonial organisms by Peter L Antonelli Book 9 editions published in in English and held by WorldCat member libraries worldwide This book begins with the modeling of evolutionary constraints on morphological diversity in ecology and then extends to development and evolution. The authors have used tractable, traditional models and mathematics, and carefully linked traditional ecological equations with production and consumption.
This book contains new, more powerful models and has applied them, for example, in chemical ecology of coral reef. The production space serves as an appropriate background space from which the environmentally induced curvature in the allometric relations of superorganisms such as siphonophores. The theory of sprays and Finsler spaces with applications in physics and biology by Peter L Antonelli Book 11 editions published between and in English and held by WorldCat member libraries worldwide.
Fundamentals of Finslerian diffusion with applications by Peter L Antonelli Book 9 editions published in in English and held by WorldCat member libraries worldwide This is the first text to be published 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, nonlinear 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.
Antonelli, Peter L.
This volume will be of interest to probabilists, applied mathematicians, mathematical biologists and geometers. It can also be recommended as a supplementary graduate text. Finsler and Lagrange geometries: Both pure and applied topics are covered. For example Higher-Order geometry, Hamilton and Cartan spaces, Legendre transformations, self-duality in Gauge fields, constant curvature spaces, Electromagnetics, Gravity theory, Black Holes, complex Finsler geometry and Finsler-Lagrange-Hamilton structures in control and optimization. Handbook of Finsler geometry Book 8 editions published in in English and held by 68 WorldCat member libraries worldwide.
Further papers treat topics from pure mathematics such as complex differential geometry, equivalence methods, Finslerian deformations, constant sprays, homogeneous contact transformations, Douglas spaces, submanifold theory, inverse problems, area theory, and more.