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Publisher :
ISBN 13 : 9781402015564
Total Pages : pages
Book Rating : 4.0/5 (155 download)
Download or read book Handbook of Finsler Geometry written by and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter L. Antonelli
Publisher : Springer Science & Business Media
ISBN 13 : 9781402015564
Total Pages : 746 pages
Book Rating : 4.0/5 (155 download)
Download or read book Handbook of Finsler geometry. 2 (2003) written by Peter L. Antonelli and published by Springer Science & Business Media. This book was released on 2003 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are several mathematical approaches to Finsler Geometry, all of which are contained and expounded in this comprehensive Handbook. The principal bundles pathway to state-of-the-art Finsler Theory is here provided by M. Matsumoto. His is a cornerstone for this set of essays, as are the articles of R. Miron (Lagrange Geometry) and J. Szilasi (Spray and Finsler Geometry). After studying either one of these, the reader will be able to understand the included survey articles on complex manifolds, holonomy, sprays and KCC-theory, symplectic structures, Legendre duality, Hodge theory and Gauss-Bonnet formulas. Finslerian diffusion theory is presented by its founders, P. Antonelli and T. Zastawniak. To help with calculations and conceptualizations, a CD-ROM containing the software package FINSLER, based on MAPLE, is included with the book.
Author : Peter L. Antonelli
Publisher : Springer Science & Business Media
ISBN 13 : 9781402015557
Total Pages : 760 pages
Book Rating : 4.0/5 (155 download)
Download or read book Handbook of Finsler geometry. 1 (2003) written by Peter L. Antonelli and published by Springer Science & Business Media. This book was released on 2003 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are several mathematical approaches to Finsler Geometry, all of which are contained and expounded in this comprehensive Handbook. The principal bundles pathway to state-of-the-art Finsler Theory is here provided by M. Matsumoto. His is a cornerstone for this set of essays, as are the articles of R. Miron (Lagrange Geometry) and J. Szilasi (Spray and Finsler Geometry). After studying either one of these, the reader will be able to understand the included survey articles on complex manifolds, holonomy, sprays and KCC-theory, symplectic structures, Legendre duality, Hodge theory and Gauss-Bonnet formulas. Finslerian diffusion theory is presented by its founders, P. Antonelli and T. Zastawniak. To help with calculations and conceptualizations, a CD-ROM containing the software package FINSLER, based on MAPLE, is included with the book.
Author : Demeter Krupka
Publisher : Elsevier
ISBN 13 : 0080556736
Total Pages : 1243 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Global Analysis written by Demeter Krupka and published by Elsevier. This book was released on 2011-08-11 with total page 1243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive exposition of topics covered by the American Mathematical Society’s classification “Global Analysis , dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics.This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and distributions, and spectral theory); variational theory on manifolds, with applications to physics; function spaces on manifolds; jets, natural bundles and generalizations; and non-commutative geometry. - Comprehensive coverage of modern global analysis and geometrical mathematical physics- Written by world-experts in the field- Up-to-date contents
Author : Yi-Bing Shen
Publisher : World Scientific Publishing Company
ISBN 13 : 981470492X
Total Pages : 408 pages
Book Rating : 4.8/5 (147 download)
Download or read book Introduction to Modern Finsler Geometry written by Yi-Bing Shen and published by World Scientific Publishing Company. This book was released on 2016-02-25 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive book is an introduction to the basics of Finsler geometry with recent developments in its area. It includes local geometry as well as global geometry of Finsler manifolds. In Part I, the authors discuss differential manifolds, Finsler metrics, the Chern connection, Riemannian and non-Riemannian quantities. Part II is written for readers who would like to further their studies in Finsler geometry. It covers projective transformations, comparison theorems, fundamental group, minimal immersions, harmonic maps, Einstein metrics, conformal transformations, amongst other related topics. The authors made great efforts to ensure that the contents are accessible to senior undergraduate students, graduate students, mathematicians and scientists.
Author : András Prékopa
Publisher : Springer Science & Business Media
ISBN 13 : 0387295550
Total Pages : 497 pages
Book Rating : 4.3/5 (872 download)
Download or read book Non-Euclidean Geometries written by András Prékopa and published by Springer Science & Business Media. This book was released on 2006-06-03 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: "From nothing I have created a new different world," wrote János Bolyai to his father, Wolgang Bolyai, on November 3, 1823, to let him know his discovery of non-Euclidean geometry, as we call it today. The results of Bolyai and the co-discoverer, the Russian Lobachevskii, changed the course of mathematics, opened the way for modern physical theories of the twentieth century, and had an impact on the history of human culture. The papers in this volume, which commemorates the 200th anniversary of the birth of János Bolyai, were written by leading scientists of non-Euclidean geometry, its history, and its applications. Some of the papers present new discoveries about the life and works of János Bolyai and the history of non-Euclidean geometry, others deal with geometrical axiomatics; polyhedra; fractals; hyperbolic, Riemannian and discrete geometry; tilings; visualization; and applications in physics.
Author : József Szilasi
Publisher : World Scientific Publishing Company
ISBN 13 : 9814440116
Total Pages : 732 pages
Book Rating : 4.8/5 (144 download)
Download or read book Connections, Sprays and Finsler Structures written by József Szilasi and published by World Scientific Publishing Company. This book was released on 2013-08-16 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to Finsler geometry in the language of present-day mathematics. Through Finsler geometry, it also introduces the reader to other structures and techniques of differential geometry. Prerequisites for reading the book are minimal: undergraduate linear algebra (over the reals) and analysis. The necessary concepts and tools of advanced linear algebra (over modules), point set topology, multivariable calculus and the rudiments of the theory of differential equations are integrated in the text. Basic manifold and bundle theories are treated concisely, carefully and (apart from proofs) in a self-contained manner. The backbone of the book is the detailed and original exposition of tangent bundle geometry, Ehresmann connections and sprays. It turns out that these structures are important not only in their own right and in the foundation of Finsler geometry, but they can be also regarded as the cornerstones of the huge edifice of Differential Geometry. The authors emphasize the conceptual aspects, but carefully elaborate calculative aspects as well (tensor derivations, graded derivations and covariant derivatives). Although they give preference to index-free methods, they also apply the techniques of traditional tensor calculus. Most proofs are elaborated in detail, which makes the book suitable for self-study. Nevertheless, the authors provide for more advanced readers as well by supplying them with adequate material, and the book may also serve as a reference.
Author : Franki J.E. Dillen
Publisher : Elsevier
ISBN 13 : 9780080461205
Total Pages : 574 pages
Book Rating : 4.4/5 (612 download)
Download or read book Handbook of Differential Geometry written by Franki J.E. Dillen and published by Elsevier. This book was released on 2005-11-29 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry, contact geometry, complex geometry, Lagrange geometry and the geometry of foliations. Although this does not cover the whole of differential geometry, the reader will be provided with an overview of some its most important areas. . Written by experts and covering recent research . Extensive bibliography . Dealing with a diverse range of areas . Starting from the basics
Author : Hwajeong Seo
Publisher : Springer Nature
ISBN 13 : 9819712386
Total Pages : 317 pages
Book Rating : 4.8/5 (197 download)
Download or read book Information Security and Cryptology – ICISC 2023 written by Hwajeong Seo and published by Springer Nature. This book was released on with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Everlon Rigobelo
Publisher : BoD – Books on Demand
ISBN 13 : 1837686378
Total Pages : 268 pages
Book Rating : 4.8/5 (376 download)
Download or read book Symbiosis in Nature written by Everlon Rigobelo and published by BoD – Books on Demand. This book was released on 2023-06-28 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symbiosis is a vital and enduring interaction between two species in nature, benefiting both organisms involved. Mutualism, commensalism, and parasitism are the three main types of symbiotic relationships. Mutualism benefits both species, commensalism benefits one species while leaving the other unaffected, and parasitism benefits one species at the expense of the other. These interactions play a crucial role in maintaining ecosystem stability and functionality. Symbiosis relies on a close genetic, physiological, and morphological connection between the participating species. Numerous examples demonstrate the significance of symbiosis in nature. Nitrogen-fixing bacteria, for instance, convert atmospheric nitrogen into ammonia, which plants can utilize as a nutrient. This process reduces the reliance on chemical fertilizers. Arbuscular mycorrhizal fungi enhance nutrient and water absorption in plants, while certain bacteria in the soil improve nutrient availability, plant development, and photosynthesis. These instances highlight the diverse ways in which symbiosis supports the well-being of different species. This book thoroughly explores various aspects of symbiosis in nature, delving into topics such as signaling, its importance in agriculture, and its role in mitigating abiotic stresses. It also provides a comprehensive exploration of various aspects related to symbiosis in nature, offering readers a valuable opportunity to enhance their understanding of this subject. By offering valuable insights, the book sheds light on the beneficial relationships that exist between different species. Overall, symbiosis is an integral mechanism that promotes the interdependence and cooperation of species in nature. Understanding the complexities and benefits of symbiotic relationships is essential for comprehending and preserving the delicate balance within ecosystems.
Author : Xinyue Cheng
Publisher : Springer Science & Business Media
ISBN 13 : 3642248888
Total Pages : 149 pages
Book Rating : 4.6/5 (422 download)
Download or read book Finsler Geometry written by Xinyue Cheng and published by Springer Science & Business Media. This book was released on 2013-01-29 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Finsler Geometry: An Approach via Randers Spaces" exclusively deals with a special class of Finsler metrics -- Randers metrics, which are defined as the sum of a Riemannian metric and a 1-form. Randers metrics derive from the research on General Relativity Theory and have been applied in many areas of the natural sciences. They can also be naturally deduced as the solution of the Zermelo navigation problem. The book provides readers not only with essential findings on Randers metrics but also the core ideas and methods which are useful in Finsler geometry. It will be of significant interest to researchers and practitioners working in Finsler geometry, even in differential geometry or related natural fields. Xinyue Cheng is a Professor at the School of Mathematics and Statistics of Chongqing University of Technology, China. Zhongmin Shen is a Professor at the Department of Mathematical Sciences of Indiana University Purdue University, USA.
Author : Old?ich Kowalski
Publisher : World Scientific
ISBN 13 : 9812790608
Total Pages : 732 pages
Book Rating : 4.8/5 (127 download)
Download or read book Differential Geometry and Its Applications written by Old?ich Kowalski and published by World Scientific. This book was released on 2008 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains invited lectures and selected research papers in the fields of classical and modern differential geometry, global analysis, and geometric methods in physics, presented at the 10th International Conference on Differential Geometry and its Applications (DGA2007), held in Olomouc, Czech Republic.The book covers recent developments and the latest results in the following fields: Riemannian geometry, connections, jets, differential invariants, the calculus of variations on manifolds, differential equations, Finsler structures, and geometric methods in physics. It is also a celebration of the 300th anniversary of the birth of one of the greatest mathematicians, Leonhard Euler, and includes the Euler lecture ?Leonhard Euler ? 300 years on? by R Wilson. Notable contributors include J F Cari¤ena, M Castrill¢n L¢pez, J Erichhorn, J-H Eschenburg, I Kol ?, A P Kopylov, J Korba?, O Kowalski, B Kruglikov, D Krupka, O Krupkov , R Landre, Haizhong Li, S Maeda, M A Malakhaltsev, O I Mokhov, J Mu¤oz Masqu, S Preston, V Rovenski, D J Saunders, M Sekizawa, J Slov k, J Szilasi, L Tam ssy, P Walczak, and others.
Author : Manuel de León
Publisher : World Scientific
ISBN 13 : 9814699772
Total Pages : 220 pages
Book Rating : 4.8/5 (146 download)
Download or read book Methods of Differential Geometry in Classical Field Theories written by Manuel de León and published by World Scientific. This book was released on 2015-10-21 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to review two of the most relevant approaches to the study of classical field theories of the first order, say k-symplectic and k-cosymplectic geometry. This approach is also compared with others like multisymplectic formalism. It will be very useful for researchers working in classical field theories and graduate students interested in developing a scientific career in the subject. Contents:A Review of Hamiltonian and Lagrangian Mechanics:Hamiltonian and Lagrangian Mechanicsk-Symplectic Formulation of Classical Field Theories:k-Symplectic Geometryk-Symplectic FormalismHamiltonian Classical Field TheoryHamilton–Jacobi Theory in k-Symplectic Field TheoriesLagrangian Classical Field TheoriesExamplesk-Cosymplectic Formulation of Classical Field Theories:k-Cosymplectic Geometryk-Cosymplectic FormalismHamiltonian Classical Field TheoriesHamilton–Jacobi EquationLagrangian Classical Field TheoriesExamplesk-Symplectic Systems versus Autonomous k-Cosymplectic SystemsRelationship between k-Symplectic and k-Cosymplectic Approaches and the Multisymplectic Formalism:Multisymplectic FormalismAppendices:Symplectic ManifoldsCosymplectic ManifoldsGlossary of Symbols Readership: Graduate students and researchers in classical field theories. Key Features:This book contains for the first time this new geometric approach to Classical Field Theory. Up to now the theory is disseminated in several journal papersThe subject is very active in the last yearsThere are many open problems in Classical Field Theories to be attacked using this new formalismKeywords:Classical Field Theory;k-Symplectic;k-Cosymplectic;Multisymplectic Formalism
Author :
Publisher :
ISBN 13 : 9814471941
Total Pages : pages
Book Rating : 4.8/5 (144 download)
Download or read book Differential Geometry and Its Applications written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Xiaohuan Mo
Publisher : World Scientific
ISBN 13 : 9812567933
Total Pages : 130 pages
Book Rating : 4.8/5 (125 download)
Download or read book An Introduction to Finsler Geometry written by Xiaohuan Mo and published by World Scientific. This book was released on 2006 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory book uses the moving frame as a tool and develops Finsler geometry on the basis of the Chern connection and the projective sphere bundle. It systematically introduces three classes of geometrical invariants on Finsler manifolds and their intrinsic relations, analyzes local and global results from classic and modern Finsler geometry, and gives non-trivial examples of Finsler manifolds satisfying different curvature conditions. Book jacket.
Author : Diana Maimut
Publisher : Springer Nature
ISBN 13 : 3030692558
Total Pages : 312 pages
Book Rating : 4.0/5 (36 download)
Download or read book Innovative Security Solutions for Information Technology and Communications written by Diana Maimut and published by Springer Nature. This book was released on 2021-02-03 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 13th International Conference on Security for Information Technology and Communications, SecITC 2020, held in Bucharest, Romania, in November 2020. The 17 revised full papers presented together with 2 invited talks were carefully reviewed and selected from 41 submissions. The conference covers topics from cryptographic algorithms, to digital forensics and cyber security and much more.
Author :
Publisher :
ISBN 13 :
Total Pages : 1108 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2005-06 with total page 1108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
