The Geometry Of Higher Order Hamilton Spaces

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The Geometry of Higher-Order Hamilton Spaces

Author : R. Miron
Publisher : Springer Science & Business Media
ISBN 13 : 9401000700
Total Pages : 247 pages
Book Rating : 4.4/5 (1 download)

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

Download or read book The Geometry of Higher-Order Hamilton Spaces written by R. Miron and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first to present an overview of higher-order Hamilton geometry with applications to higher-order Hamiltonian mechanics. It is a direct continuation of the book The Geometry of Hamilton and Lagrange Spaces, (Kluwer Academic Publishers, 2001). It contains the general theory of higher order Hamilton spaces H(k)n, k>=1, semisprays, the canonical nonlinear connection, the N-linear metrical connection and their structure equations, and the Riemannian almost contact metrical model of these spaces. In addition, the volume also describes new developments such as variational principles for higher order Hamiltonians; Hamilton-Jacobi equations; higher order energies and law of conservation; Noether symmetries; Hamilton subspaces of order k and their fundamental equations. The duality, via Legendre transformation, between Hamilton spaces of order k and Lagrange spaces of the same order is pointed out. Also, the geometry of Cartan spaces of order k =1 is investigated in detail. This theory is useful in the construction of geometrical models in theoretical physics, mechanics, dynamical systems, optimal control, biology, economy etc.

The Geometry of Higher-Order Hamilton Spaces

Author : R. Miron
Publisher :
ISBN 13 : 9789401000710
Total Pages : 264 pages
Book Rating : 4.0/5 (7 download)

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

Download or read book The Geometry of Higher-Order Hamilton Spaces written by R. Miron and published by . This book was released on 2014-01-15 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Geometry of Hamilton and Lagrange Spaces

Author : R. Miron
Publisher : Springer Science & Business Media
ISBN 13 : 0306471353
Total Pages : 355 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis The Geometry of Hamilton and Lagrange Spaces by : R. Miron

Download or read book The Geometry of Hamilton and Lagrange Spaces written by R. Miron and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: The title of this book is no surprise for people working in the field of Analytical Mechanics. However, the geometric concepts of Lagrange space and Hamilton space are completely new. The geometry of Lagrange spaces, introduced and studied in [76],[96], was ext- sively examined in the last two decades by geometers and physicists from Canada, Germany, Hungary, Italy, Japan, Romania, Russia and U.S.A. Many international conferences were devoted to debate this subject, proceedings and monographs were published [10], [18], [112], [113],... A large area of applicability of this geometry is suggested by the connections to Biology, Mechanics, and Physics and also by its general setting as a generalization of Finsler and Riemannian geometries. The concept of Hamilton space, introduced in [105], [101] was intensively studied in [63], [66], [97],... and it has been successful, as a geometric theory of the Ham- tonian function the fundamental entity in Mechanics and Physics. The classical Legendre’s duality makes possible a natural connection between Lagrange and - miltonspaces. It reveals new concepts and geometrical objects of Hamilton spaces that are dual to those which are similar in Lagrange spaces. Following this duality Cartan spaces introduced and studied in [98], [99],..., are, roughly speaking, the Legendre duals of certain Finsler spaces [98], [66], [67]. The above arguments make this monograph a continuation of [106], [113], emphasizing the Hamilton geometry.

Handbook of Differential Geometry

Author : Franki J.E. Dillen
Publisher : Elsevier
ISBN 13 : 9780080461205
Total Pages : 574 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Handbook of Differential Geometry by : Franki J.E. Dillen

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

The Geometry of Hamilton and Lagrange Spaces

Author : R. Miron
Publisher :
ISBN 13 : 9789401741736
Total Pages : 366 pages
Book Rating : 4.7/5 (417 download)

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Book Synopsis The Geometry of Hamilton and Lagrange Spaces by : R. Miron

Download or read book The Geometry of Hamilton and Lagrange Spaces written by R. Miron and published by . This book was released on 2014-03-14 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Challenges to The Second Law of Thermodynamics

Author : Vladislav Capek
Publisher : Springer Science & Business Media
ISBN 13 : 9781402030154
Total Pages : 380 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Challenges to The Second Law of Thermodynamics by : Vladislav Capek

Download or read book Challenges to The Second Law of Thermodynamics written by Vladislav Capek and published by Springer Science & Business Media. This book was released on 2005-02-15 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second law of thermodynamics is considered one of the central laws of science, engineering and technology. For over a century it has been assumed to be inviolable by the scientific community. Over the last 10-20 years, however, more than two dozen challenges to it have appeared in the physical literature - more than during any other period in its 150-year history. The number and variety of these represent a cogent threat to its absolute status. This is the first book to document and critique these modern challenges. Written by two leading exponents of this rapidly emerging field, it covers the theoretical and experimental aspects of principal challenges. In addition, unresolved foundational issues concerning entropy and the second law are explored. This book should be of interest to anyone whose work or research is touched by the second law.

Libertas Mathematica

Author :
Publisher :
ISBN 13 :
Total Pages : 728 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Libertas Mathematica by :

Download or read book Libertas Mathematica written by and published by . This book was released on 2002 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Soliton Theory: Applications to Mechanics

Author : Ligia Munteanu
Publisher : Springer Science & Business Media
ISBN 13 : 1402025777
Total Pages : 325 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Introduction to Soliton Theory: Applications to Mechanics by : Ligia Munteanu

Download or read book Introduction to Soliton Theory: Applications to Mechanics written by Ligia Munteanu and published by Springer Science & Business Media. This book was released on 2006-07-06 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is planned to provide the application of the soliton theory to solve certain practical problems selected from the fields of solid mechanics, fluid mechanics and biomechanics. The work is based mainly on the authors’ research carried out at their home institutes, and on some specified, significant results existing in the published literature. The methodology to study a given evolution equation is to seek the waves of permanent form, to test whether it possesses any symmetry properties, and whether it is stable and solitonic in nature. Students of physics, applied mathematics, and engineering are usually exposed to various branches of nonlinear mechanics, especially to the soliton theory. The soliton is regarded as an entity, a quasi-particle, which conserves its character and interacts with the surroundings and other solitons as a particle. It is related to a strange phenomenon, which consists in the propagation of certain waves without attenuation in dissipative media. This phenomenon has been known for about 200 years (it was described, for example, by the Joule Verne's novel Les histoires de Jean Marie Cabidoulin, Éd. Hetzel), but its detailed quantitative description became possible only in the last 30 years due to the exceptional development of computers. The discovery of the physical soliton is attributed to John Scott Russell. In 1834, Russell was observing a boat being drawn along a narrow channel by a pair of horses.

Relativity and the Dimensionality of the World

Author : Vesselin Petkov
Publisher : Springer Science & Business Media
ISBN 13 : 1402063180
Total Pages : 283 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Relativity and the Dimensionality of the World by : Vesselin Petkov

Download or read book Relativity and the Dimensionality of the World written by Vesselin Petkov and published by Springer Science & Business Media. This book was released on 2007-10-08 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main focus of this volume is the question: is spacetime nothing more than a mathematical space (which describes the evolution in time of the ordinary three-dimensional world) or is it a mathematical model of a real four-dimensional world with time entirely given as the fourth dimension? The book contains fourteen invited papers which either directly address the main question of the nature of spacetime or explore issues related to it.

The Universe of Fluctuations

Author : B. G. Sidharth
Publisher : Springer Science & Business Media
ISBN 13 : 1402037864
Total Pages : 193 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Universe of Fluctuations by : B. G. Sidharth

Download or read book The Universe of Fluctuations written by B. G. Sidharth and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Universe of Fluctuations: The Architecture of Spacetime and the Universe is a path-breaking work which proposes solutions to the impasse and crisis facing fundamental physics and cosmology. It describes a cosmological model based on fuzzy spacetime that has correctly predicted a dark-energy-driven acceleration of our expanding universe - with a small cosmological constant - at a time when the popular belief was quite the contrary. It describes how the Universe is made up of an underpinning of Planck oscillators in a Quantum Vacuum. This leads to, amongst other things, a characterization of gravitation as being distributional over the entire Universe, thereby providing an answer to a puzzle brought to light by Weinberg years ago and since overlooked. There is also a simple formula for the mass spectrum of all known elementary particles, based on QCD dynamics. Many other interesting ramifications and experimental tests for the future are also discussed. This apart, there is a brief survey of some of the existing theories. The book is accessible to junior and senior researchers in High Energy Physics and Cosmology as well as the serious graduate student in Physics.

Cosmological Pattern of Microphysics in the Inflationary Universe

Author : Maxim Y. Khlopov
Publisher : Springer Science & Business Media
ISBN 13 : 1402026501
Total Pages : 297 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Cosmological Pattern of Microphysics in the Inflationary Universe by : Maxim Y. Khlopov

Download or read book Cosmological Pattern of Microphysics in the Inflationary Universe written by Maxim Y. Khlopov and published by Springer Science & Business Media. This book was released on 2013-03-20 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern cosmology is a quickly developing ?eld of research. New technical devices and tools supply the community with new experimental data measured with high accuracy. The self-consistent explanation of these data needs t- oretical models that are based on hypothetical predictions of particle theory. In their turn, such predictions imply cosmology for their probe. Speci?c st- ies of the cosmological consequences of particle theory, linking them to their observable signatures, are actual. This boiling kettle of theoretical research and experimental efforts produces ideas that will be preserved for following generations. The aim of this book is to acquaint the reader with some of these ideas, - fering nontrivial ways to probe the physical basis of modern cosmology. An extensive review of the newest ideas in modern cosmology, e. g. , related with the development of the M-brane theory, lies beyond the scope of our book, which is aimed at providing a ?rmly established system of probes for these ideas, linking their predictions to their possible experimental test. We use the framework of in?ationary paradigm to reveal the phenomena that can shed light on the physical origin of the observed Universe, of its matter content and large-scale structure. The crucial role of quantum ?uctuations in creation of our Universe and in possible features, re?ecting cosmological impact of microphysics, is discussed. These features are shown to be accessible to - perimental test in the near future.

Uniformly Accelerating Charged Particles

Author : Stephen Lyle
Publisher : Springer Science & Business Media
ISBN 13 : 3540684778
Total Pages : 361 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Uniformly Accelerating Charged Particles by : Stephen Lyle

Download or read book Uniformly Accelerating Charged Particles written by Stephen Lyle and published by Springer Science & Business Media. This book was released on 2008-07-22 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the problems with the LD equation in flat spacetime and details its extension to curved spacetime. It compares different equivalence principles as well as vindicates some.

Deformed Spacetime

Author : Fabio Cardone
Publisher : Springer Science & Business Media
ISBN 13 : 1402062834
Total Pages : 499 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Deformed Spacetime by : Fabio Cardone

Download or read book Deformed Spacetime written by Fabio Cardone and published by Springer Science & Business Media. This book was released on 2007-09-04 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a detailed discussion of the mathematical aspects and physical applications of a new geometrical structure of space-time, based on a generalization ("deformation") of the usual Minkowski space, as supposed to be endowed with a metric whose coefficients depend on the energy. This new five-dimensional scheme (Deformed Relativity in Five Dimensions, DR5) represents a true generalization of the usual Kaluza-Klein (KK) formalism.

Reading Bohr: Physics and Philosophy

Author : Arkady Plotnitsky
Publisher : Springer Science & Business Media
ISBN 13 : 1402052545
Total Pages : 238 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Reading Bohr: Physics and Philosophy by : Arkady Plotnitsky

Download or read book Reading Bohr: Physics and Philosophy written by Arkady Plotnitsky and published by Springer Science & Business Media. This book was released on 2006-11-15 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a new perspective on Niels Bohr's interpretation of quantum mechanics as complementarity, and on the relationships between physics and philosophy in Bohr's work. The importance of quantum field theory for Bohr's thinking has not been adequately addressed in the literature on Bohr. This book provides clarification of Bohr's writings (which usually pose problems of reading), and an analysis of the role of quantum field theory in Bohr's thinking.

Factorization Method in Quantum Mechanics

Author : Shi-Hai Dong
Publisher : Springer Science & Business Media
ISBN 13 : 1402057962
Total Pages : 308 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Factorization Method in Quantum Mechanics by : Shi-Hai Dong

Download or read book Factorization Method in Quantum Mechanics written by Shi-Hai Dong and published by Springer Science & Business Media. This book was released on 2007-04-01 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the factorization method in quantum mechanics at an advanced level, with the aim of putting mathematical and physical concepts and techniques like the factorization method, Lie algebras, matrix elements and quantum control at the reader’s disposal. For this purpose, the text provides a comprehensive description of the factorization method and its wide applications in quantum mechanics which complements the traditional coverage found in quantum mechanics textbooks.

Precisely Predictable Dirac Observables

Author : Heinz Otto Cordes
Publisher : Springer Science & Business Media
ISBN 13 : 1402051697
Total Pages : 287 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Precisely Predictable Dirac Observables by : Heinz Otto Cordes

Download or read book Precisely Predictable Dirac Observables written by Heinz Otto Cordes and published by Springer Science & Business Media. This book was released on 2007-01-10 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents a Clean Quantum Theory of the Electron, based on Dirac’s equation. "Clean" in the sense of a complete mathematical explanation of the well known paradoxes of Dirac’s theory and a connection to classical theory. It discusses the existence of an accurate split between physical states belonging to the electron and to the positron as well as the fact that precisely predictable observables must preserve this split.

Classical Electromagnetic Theory

Author : Jack Vanderlinde
Publisher : Springer Science & Business Media
ISBN 13 : 1402027001
Total Pages : 427 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Classical Electromagnetic Theory by : Jack Vanderlinde

Download or read book Classical Electromagnetic Theory written by Jack Vanderlinde and published by Springer Science & Business Media. This book was released on 2006-01-17 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: In questions of science, the authority of a thousand is not worth the humble reasoning of a single individual. Galileo Galilei, physicist and astronomer (1564-1642) This book is a second edition of “Classical Electromagnetic Theory” which derived from a set of lecture notes compiled over a number of years of teaching elect- magnetic theory to fourth year physics and electrical engineering students. These students had a previous exposure to electricity and magnetism, and the material from the ?rst four and a half chapters was presented as a review. I believe that the book makes a reasonable transition between the many excellent elementary books such as Gri?th’s Introduction to Electrodynamics and the obviously graduate level books such as Jackson’s Classical Electrodynamics or Landau and Lifshitz’ Elect- dynamics of Continuous Media. If the students have had a previous exposure to Electromagnetictheory, allthematerialcanbereasonablycoveredintwosemesters. Neophytes should probable spend a semester on the ?rst four or ?ve chapters as well as, depending on their mathematical background, the Appendices B to F. For a shorter or more elementary course, the material on spherical waves, waveguides, and waves in anisotropic media may be omitted without loss of continuity.