Pfaffian Systems, k-Symplectic Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9401595267
Total Pages : 247 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Pfaffian Systems, k-Symplectic Systems by : A. Awane

Download or read book Pfaffian Systems, k-Symplectic Systems written by A. Awane and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of foliations and contact forms have experienced such great de velopment recently that it is natural they have implications in the field of mechanics. They form part of the framework of what Jean Dieudonne calls "Elie Cartan's great theory ofthe Pfaffian systems", and which even nowa days is still far from being exhausted. The major reference work is. without any doubt that of Elie Cartan on Pfaffian systems with five variables. In it one discovers there the bases of an algebraic classification of these systems, their methods of reduction, and the highlighting ofthe first fundamental in variants. This work opens to us, even today, a colossal field of investigation and the mystery of a ternary form containing the differential invariants of the systems with five variables always deligthts anyone who wishes to find out about them. One of the goals of this memorandum is to present this work of Cartan - which was treated even more analytically by Goursat in its lectures on Pfaffian systems - in order to expound the classifications currently known. The theory offoliations and contact forms appear in the study ofcompletely integrable Pfaffian systems of rank one. In each of these situations there is a local model described either by Frobenius' theorem, or by Darboux' theorem. It is this type of theorem which it would be desirable to have for a non-integrable Pfaffian system which may also be of rank greater than one.

Methods Of Differential Geometry In Classical Field Theories: K-symplectic And K-cosymplectic Approaches

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Publisher : World Scientific
ISBN 13 : 9814699772
Total Pages : 222 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Methods Of Differential Geometry In Classical Field Theories: K-symplectic And K-cosymplectic Approaches by : Manuel De Leon

Download or read book Methods Of Differential Geometry In Classical Field Theories: K-symplectic And K-cosymplectic Approaches written by Manuel De Leon and published by World Scientific. This book was released on 2015-08-28 with total page 222 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.

Joseph Fourier 250th Birthday

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Publisher : MDPI
ISBN 13 : 3038977462
Total Pages : 260 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Joseph Fourier 250th Birthday by : Frédéric Barbaresco

Download or read book Joseph Fourier 250th Birthday written by Frédéric Barbaresco and published by MDPI. This book was released on 2019-03-28 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the 250th birthday of Joseph Fourier, born in 1768 in Auxerre, France, this MDPI Special Issue will explore modern topics related to Fourier Analysis and Heat Equation. Modern developments of Fourier analysis during the 20th century have explored generalizations of Fourier and Fourier–Plancherel formula for non-commutative harmonic analysis, applied to locally-compact, non-Abelian groups. In parallel, the theory of coherent states and wavelets has been generalized over Lie groups. One should add the developments, over the last 30 years, of the applications of harmonic analysis to the description of the fascinating world of aperiodic structures in condensed matter physics. The notions of model sets, introduced by Y. Meyer, and of almost periodic functions, have revealed themselves to be extremely fruitful in this domain of natural sciences. The name of Joseph Fourier is also inseparable from the study of the mathematics of heat. Modern research on heat equations explores the extension of the classical diffusion equation on Riemannian, sub-Riemannian manifolds, and Lie groups. In parallel, in geometric mechanics, Jean-Marie Souriau interpreted the temperature vector of Planck as a space-time vector, obtaining, in this way, a phenomenological model of continuous media, which presents some interesting properties. One last comment concerns the fundamental contributions of Fourier analysis to quantum physics: Quantum mechanics and quantum field theory. The content of this Special Issue will highlight papers exploring non-commutative Fourier harmonic analysis, spectral properties of aperiodic order, the hypoelliptic heat equation, and the relativistic heat equation in the context of Information Theory and Geometric Science of Information.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 844 pages
Book Rating : 4.3/5 (91 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 2003 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings

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Publisher :
ISBN 13 :
Total Pages : 588 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Proceedings by :

Download or read book Proceedings written by and published by . This book was released on 2006 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Encyclopaedia of Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 940151237X
Total Pages : 506 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 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MA THEMA TICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Encyclopaedia of Mathematics

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Publisher : Springer
ISBN 13 : 1489937919
Total Pages : 932 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Encyclopaedia of Mathematics by : M. Hazewinkel

Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:

BAG

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Publisher :
ISBN 13 :
Total Pages : 544 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis BAG by :

Download or read book BAG written by and published by . This book was released on 1998 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Complex Analysis

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Publisher : Springer
ISBN 13 : 9811316724
Total Pages : 359 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Geometric Complex Analysis by : Jisoo Byun

Download or read book Geometric Complex Analysis written by Jisoo Byun and published by Springer. This book was released on 2018-09-08 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: The KSCV Symposium, the Korean Conference on Several Complex Variables, started in 1997 in an effort to promote the study of complex analysis and geometry. Since then, the conference met semi-regularly for about 10 years and then settled on being held biannually. The sixth and tenth conferences were held in 2002 and 2014 as satellite conferences to the Beijing International Congress of Mathematicians (ICM) and the Seoul ICM, respectively. The purpose of the KSCV Symposium is to organize the research talks of many leading scholars in the world, to provide an opportunity for communication, and to promote new researchers in this field.

The British National Bibliography

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Publisher :
ISBN 13 :
Total Pages : 1294 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The British National Bibliography by : Arthur James Wells

Download or read book The British National Bibliography written by Arthur James Wells and published by . This book was released on 2000 with total page 1294 pages. Available in PDF, EPUB and Kindle. Book excerpt:

American Book Publishing Record

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Publisher :
ISBN 13 :
Total Pages : 1838 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis American Book Publishing Record by :

Download or read book American Book Publishing Record written by and published by . This book was released on 1985 with total page 1838 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Reviews in Global Analysis, 1980-86 as Printed in Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 814 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Reviews in Global Analysis, 1980-86 as Printed in Mathematical Reviews by :

Download or read book Reviews in Global Analysis, 1980-86 as Printed in Mathematical Reviews written by and published by . This book was released on 1988 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cartan for Beginners

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Publisher : American Mathematical Soc.
ISBN 13 : 0821833758
Total Pages : 394 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Cartan for Beginners by : Thomas Andrew Ivey

Download or read book Cartan for Beginners written by Thomas Andrew Ivey and published by American Mathematical Soc.. This book was released on 2003 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to Cartan's approach to differential geometry. Two central methods in Cartan's geometry are the theory of exterior differential systems and the method of moving frames. This book presents thorough and modern treatments of both subjects, including their applications to both classic and contemporary problems. It begins with the classical geometry of surfaces and basic Riemannian geometry in the language of moving frames, along with an elementary introduction to exterior differential systems. Key concepts are developed incrementally with motivating examples leading to definitions, theorems, and proofs. Once the basics of the methods are established, the authors develop applications and advanced topics.One notable application is to complex algebraic geometry, where they expand and update important results from projective differential geometry. The book features an introduction to $G$-structures and a treatment of the theory of connections. The Cartan machinery is also applied to obtain explicit solutions of PDEs via Darboux's method, the method of characteristics, and Cartan's method of equivalence. This text is suitable for a one-year graduate course in differential geometry, and parts of it can be used for a one-semester course. It has numerous exercises and examples throughout. It will also be useful to experts in areas such as PDEs and algebraic geometry who want to learn how moving frames and exterior differential systems apply to their fields.

Exterior Forms and Their Applications

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Publisher :
ISBN 13 :
Total Pages : 438 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Exterior Forms and Their Applications by : Władysław Ślebodziński

Download or read book Exterior Forms and Their Applications written by Władysław Ślebodziński and published by . This book was released on 1970 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Monografie Matematyczne

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Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.:/5 (35 download)

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Book Synopsis Monografie Matematyczne by :

Download or read book Monografie Matematyczne written by and published by . This book was released on 1932 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry of Phase Spaces

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Publisher :
ISBN 13 :
Total Pages : 814 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Geometry of Phase Spaces by : Jan J. Slawianowski

Download or read book Geometry of Phase Spaces written by Jan J. Slawianowski and published by . This book was released on 1991 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt: Devoted to the classical analytical mechanics of systems with a finite number of degrees of freedom, with special attention given to some nonstandard problems, both theoretical and practical. Presents the geometric formulation of analytical mechanics in terms of tangent and cotangent bundles and symplectic and contact manifolds. In contrast to purely formal treatments, the author justifies in physical terms the symplectic structure presupposed by classical Hamiltonian mechanics. The result is that the well-known structures of the Hamilton-Jacobi theory are given a deep geometrical interpretation.

Notices of the American Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 1214 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Notices of the American Mathematical Society by : American Mathematical Society

Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1979 with total page 1214 pages. Available in PDF, EPUB and Kindle. Book excerpt: