Geometrical Aspects Of The Covariant Dynamics Of Higher Order

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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.

Geometric Aspects of Functional Analysis

Author : Ronen Eldan
Publisher : Springer Nature
ISBN 13 : 3031263006
Total Pages : 443 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Geometric Aspects of Functional Analysis by : Ronen Eldan

Download or read book Geometric Aspects of Functional Analysis written by Ronen Eldan and published by Springer Nature. This book was released on 2023-11-01 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reflects general trends in the study of geometric aspects of functional analysis, understood in a broad sense. A classical theme in the local theory of Banach spaces is the study of probability measures in high dimension and the concentration of measure phenomenon. Here this phenomenon is approached from different angles, including through analysis on the Hamming cube, and via quantitative estimates in the Central Limit Theorem under thin-shell and related assumptions. Classical convexity theory plays a central role in this volume, as well as the study of geometric inequalities. These inequalities, which are somewhat in spirit of the Brunn-Minkowski inequality, in turn shed light on convexity and on the geometry of Euclidean space. Probability measures with convexity or curvature properties, such as log-concave distributions, occupy an equally central role and arise in the study of Gaussian measures and non-trivial properties of the heat flow in Euclidean spaces. Also discussed are interactions of this circle of ideas with linear programming and sampling algorithms, including the solution of a question in online learning algorithms using a classical convexity construction from the 19th century.

Balkan Journal of Geometry and Its Applications

Author :
Publisher :
ISBN 13 :
Total Pages : 490 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Balkan Journal of Geometry and Its Applications by :

Download or read book Balkan Journal of Geometry and Its Applications written by and published by . This book was released on 1996 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Connections on Principal Sheaves

Author : Efstathios Vassiliou
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Connections on Principal Sheaves by : Efstathios Vassiliou

Download or read book Connections on Principal Sheaves written by Efstathios Vassiliou and published by . This book was released on 1997 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

From PDE Systems and Metric to Geometric Multi-time Field Theories

Author : Mircea Neagu
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis From PDE Systems and Metric to Geometric Multi-time Field Theories by : Mircea Neagu

Download or read book From PDE Systems and Metric to Geometric Multi-time Field Theories written by Mircea Neagu and published by . This book was released on 2001 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Lagrange Formalism of Classical Mechanics and Conservation Laws Deduced from it

Author : M. Boleanţu
Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Lagrange Formalism of Classical Mechanics and Conservation Laws Deduced from it by : M. Boleanţu

Download or read book The Lagrange Formalism of Classical Mechanics and Conservation Laws Deduced from it written by M. Boleanţu and published by . This book was released on 1998 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometrical Dynamics of Complex Systems

Author : Vladimir G. Ivancevic
Publisher : Taylor & Francis
ISBN 13 : 9781402045448
Total Pages : 856 pages
Book Rating : 4.0/5 (454 download)

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Book Synopsis Geometrical Dynamics of Complex Systems by : Vladimir G. Ivancevic

Download or read book Geometrical Dynamics of Complex Systems written by Vladimir G. Ivancevic and published by Taylor & Francis. This book was released on 2006-01-18 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometrical Dynamics of Complex Systems is a graduate-level monographic textbook. Itrepresentsacomprehensiveintroductionintorigorousgeometrical dynamicsofcomplexsystemsofvariousnatures. By'complexsystems', inthis book are meant high-dimensional nonlinear systems, which can be (but not necessarily are) adaptive. This monograph proposes a uni?ed geometrical - proachtodynamicsofcomplexsystemsofvariouskinds: engineering, physical, biophysical, psychophysical, sociophysical, econophysical, etc. As their names suggest, all these multi-input multi-output (MIMO) systems have something in common: the underlying physics. However, instead of dealing with the pop- 1 ular 'soft complexity philosophy', we rather propose a rigorous geometrical and topological approach. We believe that our rigorous approach has much greater predictive power than the soft one. We argue that science and te- nology is all about prediction and control. Observation, understanding and explanation are important in education at undergraduate level, but after that it should be all prediction and control. The main objective of this book is to show that high-dimensional nonlinear systems and processes of 'real life' can be modelled and analyzed using rigorous mathematics, which enables their complete predictability and controllability, as if they were linear systems. It is well-known that linear systems, which are completely predictable and controllable by de?nition - live only in Euclidean spaces (of various - mensions). They are as simple as possible, mathematically elegant and fully elaborated from either scienti?c or engineering side. However, in nature, no- ing is linear. In reality, everything has a certain degree of nonlinearity, which means: unpredictability, with subsequent uncontrollability.

Symplectic Geometry and Mathematical Physics

Author : P. Donato
Publisher : Springer Science & Business Media
ISBN 13 : 9780817635817
Total Pages : 504 pages
Book Rating : 4.6/5 (358 download)

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Book Synopsis Symplectic Geometry and Mathematical Physics by : P. Donato

Download or read book Symplectic Geometry and Mathematical Physics written by P. Donato and published by Springer Science & Business Media. This book was released on 1991-12 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference "Colloque de Goometrie Symplectique et Physique Mathematique" which was held in Aix-en-Provence (France), June 11-15, 1990, in honor of Jean-Marie Souriau. The conference was one in the series of international meetings of the Seminaire Sud Rhodanien de Goometrie, an organization of geometers and mathematical physicists at the Universities of Avignon, Lyon, Mar seille, and Montpellier. The scientific interests of Souriau, one of the founders of geometric quantization, range from classical mechanics (symplectic geometry) and quantization problems to general relativity and astrophysics. The themes of this conference cover "only" the first two of these four areas. The subjects treated in this volume could be classified in the follow ing way: symplectic and Poisson geometry (Arms-Wilbour, Bloch-Ratiu, Brylinski-Kostant, Cushman-Sjamaar, Dufour, Lichnerowicz, Medina, Ouzilou), classical mechanics (Benenti, Holm-Marsden, Marle) , particles and fields in physics (Garcia Perez-Munoz Masque, Gotay, Montgomery, Ne'eman-Sternberg, Sniatycki) and quantization (Blattner, Huebschmann, Karasev, Rawnsley, Roger, Rosso, Weinstein). However, these subjects are so interrelated that a classification by headings such as "pure differential geometry, applications of Lie groups, constrained systems in physics, etc. ," would have produced a completely different clustering! The list of authors is not quite identical to the list of speakers at the conference. M. Karasev was invited but unable to attend; C. Itzykson and M. Vergne spoke on work which is represented here only by the title of Itzykson's talk (Surfaces triangulees et integration matricielle) and a summary of Vergne's talk.

Linear Dynamical Systems and Associated Variational Multipliers

Author : Corina Vernic
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Linear Dynamical Systems and Associated Variational Multipliers by : Corina Vernic

Download or read book Linear Dynamical Systems and Associated Variational Multipliers written by Corina Vernic and published by . This book was released on 1999 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamical Systems with Extreme Integrals and Conservation Laws

Author : Mihaela Neamţu
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Dynamical Systems with Extreme Integrals and Conservation Laws by : Mihaela Neamţu

Download or read book Dynamical Systems with Extreme Integrals and Conservation Laws written by Mihaela Neamţu and published by . This book was released on 2000 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 1884 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1884 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:

Geometry, Mechanics, and Dynamics

Author : Paul Newton
Publisher : Springer Science & Business Media
ISBN 13 : 0387217916
Total Pages : 573 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Geometry, Mechanics, and Dynamics by : Paul Newton

Download or read book Geometry, Mechanics, and Dynamics written by Paul Newton and published by Springer Science & Business Media. This book was released on 2006-05-11 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jerry Marsden, one of the world’s pre-eminent mechanicians and applied mathematicians, celebrated his 60th birthday in August 2002. The event was marked by a workshop on “Geometry, Mechanics, and Dynamics”at the Fields Institute for Research in the Mathematical Sciences, of which he wasthefoundingDirector. Ratherthanmerelyproduceaconventionalp- ceedings, with relatively brief accounts of research and technical advances presented at the meeting, we wished to acknowledge Jerry’s in?uence as a teacher, a propagator of new ideas, and a mentor of young talent. Con- quently, starting in 1999, we sought to collect articles that might be used as entry points by students interested in ?elds that have been shaped by Jerry’s work. At the same time we hoped to give experts engrossed in their own technical niches an indication of the wonderful breadth and depth of their subjects as a whole. This book is an outcome of the e?orts of those who accepted our in- tations to contribute. It presents both survey and research articles in the several ?elds that represent the main themes of Jerry’s work, including elasticity and analysis, ?uid mechanics, dynamical systems theory, g- metric mechanics, geometric control theory, and relativity and quantum mechanics. The common thread running through this broad tapestry is the use of geometric methods that serve to unify diverse disciplines and bring a widevarietyofscientistsandmathematicianstogether,speakingalanguage which enhances dialogue and encourages cross-fertilization.

Aspects Of Complex Analysis, Differential Geometry, Mathematical Physics And Applications - Proceedings Of The Fourth International Workshop On Complex Structures And Vector Fields

Download Aspects Of Complex Analysis, Differential Geometry, Mathematical Physics And Applications - Proceedings Of The Fourth International Workshop On Complex Structures And Vector Fields PDF Online Free

Author : Stancho Dimiev
Publisher : World Scientific
ISBN 13 : 9814543756
Total Pages : 382 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Aspects Of Complex Analysis, Differential Geometry, Mathematical Physics And Applications - Proceedings Of The Fourth International Workshop On Complex Structures And Vector Fields by : Stancho Dimiev

Download or read book Aspects Of Complex Analysis, Differential Geometry, Mathematical Physics And Applications - Proceedings Of The Fourth International Workshop On Complex Structures And Vector Fields written by Stancho Dimiev and published by World Scientific. This book was released on 1999-09-17 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of a workshop whose main purpose was to exchange information on current topics in complex analysis, differential geometry, mathematical physics and applications, and to group aspects of new mathematics.

Differential Geometry And Its Applications - Proceedings Of The 10th International Conference On Dga2007

Author : Demeter Krupka
Publisher : World Scientific
ISBN 13 : 9814471941
Total Pages : 732 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Differential Geometry And Its Applications - Proceedings Of The 10th International Conference On Dga2007 by : Demeter Krupka

Download or read book Differential Geometry And Its Applications - Proceedings Of The 10th International Conference On Dga2007 written by Demeter Krupka and published by World Scientific. This book was released on 2008-07-14 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 Cariñena, M Castrillón López, J Erichhorn, J-H Eschenburg, I Kolář, A P Kopylov, J Korbaš, O Kowalski, B Kruglikov, D Krupka, O Krupková, R Léandre, Haizhong Li, S Maeda, M A Malakhaltsev, O I Mokhov, J Muñoz Masqué, S Preston, V Rovenski, D J Saunders, M Sekizawa, J Slovák, J Szilasi, L Tamássy, P Walczak, and others.

Differential Geometry and Its Applications

Author : Oldřich Kowalski
Publisher : World Scientific
ISBN 13 : 9812790616
Total Pages : 732 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Differential Geometry and Its Applications by : Oldřich Kowalski

Download or read book Differential Geometry and Its Applications written by Oldřich 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 OC Leonhard Euler OCo 300 years onOCO by R Wilson. Notable contributors include J F Cariena, M Castrilln Lpez, J Erichhorn, J-H Eschenburg, I KoliO, A P Kopylov, J Korbai, O Kowalski, B Kruglikov, D Krupka, O Krupkovi, R L(r)andre, Haizhong Li, S Maeda, M A Malakhaltsev, O I Mokhov, J Muoz Masqu(r), S Preston, V Rovenski, D J Saunders, M Sekizawa, J Slovik, J Szilasi, L Tamissy, P Walczak, and others."

Introduction to Differential Geometry with Tensor Applications

Author : Dipankar De
Publisher : John Wiley & Sons
ISBN 13 : 1119795621
Total Pages : 516 pages
Book Rating : 4.1/5 (197 download)

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Book Synopsis Introduction to Differential Geometry with Tensor Applications by : Dipankar De

Download or read book Introduction to Differential Geometry with Tensor Applications written by Dipankar De and published by John Wiley & Sons. This book was released on 2022-05-24 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: INTRODUCTION TO DIFFERENTIAL GEOMETRY WITH TENSOR APPLICATIONS This is the only volume of its kind to explain, in precise and easy-to-understand language, the fundamentals of tensors and their applications in differential geometry and analytical mechanics with examples for practical applications and questions for use in a course setting. Introduction to Differential Geometry with Tensor Applications discusses the theory of tensors, curves and surfaces and their applications in Newtonian mechanics. Since tensor analysis deals with entities and properties that are independent of the choice of reference frames, it forms an ideal tool for the study of differential geometry and also of classical and celestial mechanics. This book provides a profound introduction to the basic theory of differential geometry: curves and surfaces and analytical mechanics with tensor applications. The author has tried to keep the treatment of the advanced material as lucid and comprehensive as possible, mainly by including utmost detailed calculations, numerous illustrative examples, and a wealth of complementing exercises with complete solutions making the book easily accessible even to beginners in the field. Groundbreaking and thought-provoking, this volume is an outstanding primer for modern differential geometry and is a basic source for a profound introductory course or as a valuable reference. It can even be used for self-study, by students or by practicing engineers interested in the subject. Whether for the student or the veteran engineer or scientist, Introduction to Differential Geometry with Tensor Applications is a must-have for any library. This outstanding new volume: Presents a unique perspective on the theories in the field not available anywhere else Explains the basic concepts of tensors and matrices and their applications in differential geometry and analytical mechanics Is filled with hundreds of examples and unworked problems, useful not just for the student, but also for the engineer in the field Is a valuable reference for the professional engineer or a textbook for the engineering student