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Author : Robert Hermann
Publisher :
ISBN 13 :
Total Pages : 347 pages
Book Rating : 4.:/5 (488 download)
Download or read book Topics in the Geometric Theory of Integrable Mechanical Systems written by Robert Hermann and published by . This book was released on 1984 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Hermann
Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.3/5 (91 download)
Download or read book Interdisciplinary Mathematics: Topics in the geometric theory of integrable mechanical systems written by Robert Hermann and published by . This book was released on 1973 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Hermann
Publisher :
ISBN 13 :
Total Pages : 180 pages
Book Rating : 4.F/5 ( download)
Download or read book Topics in General Relativity written by Robert Hermann and published by . This book was released on 1976 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tsutomu (Jixin) Kambe
Publisher : World Scientific Publishing Company
ISBN 13 : 981310760X
Total Pages : 444 pages
Book Rating : 4.8/5 (131 download)
Download or read book Geometrical Theory Of Dynamical Systems And Fluid Flows (Revised Edition) written by Tsutomu (Jixin) Kambe and published by World Scientific Publishing Company. This book was released on 2009-12-28 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory textbook on the geometrical theory of dynamical systems, fluid flows and certain integrable systems. The topics are interdisciplinary and extend from mathematics, mechanics and physics to mechanical engineering, and the approach is very fundamental. The main theme of this book is a unified formulation to understand dynamical evolutions of physical systems within mathematical ideas of Riemannian geometry and Lie groups by using well-known examples. Underlying mathematical concepts include transformation invariance, covariant derivative, geodesic equation and curvature tensors on the basis of differential geometry, theory of Lie groups and integrability. These mathematical theories are applied to physical systems such as free rotation of a top, surface wave of shallow water, action principle in mechanics, diffeomorphic flow of fluids, vortex motions and some integrable systems.In the latest edition, a new formulation of fluid flows is also presented in a unified fashion on the basis of the gauge principle of theoretical physics and principle of least action along with new type of Lagrangians. A great deal of effort has been directed toward making the description elementary, clear and concise, to provide beginners easy access to the topics.
Author : Robert Hermann
Publisher :
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.3/5 (91 download)
Download or read book Interdisciplinary Mathematics: Topics in the geometric theory of linear systems written by Robert Hermann and published by . This book was released on 1973 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexey Bolsinov
Publisher : Birkhäuser
ISBN 13 : 3319335030
Total Pages : 148 pages
Book Rating : 4.3/5 (193 download)
Download or read book Geometry and Dynamics of Integrable Systems written by Alexey Bolsinov and published by Birkhäuser. This book was released on 2016-10-27 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matemàtica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory; the description of singularities of integrable systems on the basis of their relation to bi-Hamiltonian systems; and the generalization of integrable systems to the non-Hamiltonian settings. All three sections were written by top experts in their respective fields. Native to actual problem-solving challenges in mechanics, the topic of integrable systems is currently at the crossroads of several disciplines in pure and applied mathematics, and also has important interactions with physics. The study of integrable systems also actively employs methods from differential geometry. Moreover, it is extremely important in symplectic geometry and Hamiltonian dynamics, and has strong correlations with mathematical physics, Lie theory and algebraic geometry (including mirror symmetry). As such, the book will appeal to experts with a wide range of backgrounds.
Author : Ron Donagi
Publisher : Cambridge University Press
ISBN 13 : 110880358X
Total Pages : 421 pages
Book Rating : 4.1/5 (88 download)
Download or read book Integrable Systems and Algebraic Geometry: Volume 1 written by Ron Donagi and published by Cambridge University Press. This book was released on 2020-04-02 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between algebraic geometry and integrable systems, differential equations, mathematical physics, and many other areas. The authors, many of whom have been at the forefront of research into these topics for the last decades, have all been influenced by Previato's research, as her collaborators, students, or colleagues. The diverse articles in the book demonstrate the wide scope of Previato's work and the inclusion of several survey and introductory articles makes the text accessible to graduate students and non-experts, as well as researchers. This first volume covers a wide range of areas related to integrable systems, often emphasizing the deep connections with algebraic geometry. Common themes include theta functions and Abelian varieties, Lax equations, integrable hierarchies, Hamiltonian flows and difference operators. These powerful tools are applied to spinning top, Hitchin, Painleve and many other notable special equations.
Author : Robert Hermann
Publisher :
ISBN 13 :
Total Pages : 624 pages
Book Rating : 4.3/5 (91 download)
Download or read book Interdisciplinary Mathematics: Topics in physical geometry written by Robert Hermann and published by . This book was released on 1973 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Hermann
Publisher : Math Science Press
ISBN 13 : 9780915692422
Total Pages : 363 pages
Book Rating : 4.6/5 (924 download)
Download or read book Geometric Structures in Nonlinear Physics written by Robert Hermann and published by Math Science Press. This book was released on 1991 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: VOLUME 26 of INTERDISCIPLINARY MATHEMATICS, series expounding mathematical methodology in Physics & Engineering. TOPICS: Differential & Riemannian Geometry; Theories of Vorticity Dynamics, Einstein-Hilbert Gravitation, Colobeau-Rosinger Generalized Function Algebra, Deformations & Quantum Mechanics of Particles & Fields. Ultimate goal is to develop mathematical framework for reconciling Quantum Mechanics & concept of Point Particle. New ideas for researchers & students. Order: Math Sci Press, 53 Jordan Road, Brookline, MA 02146. (617) 738-0307.
Author : A.T. Fomenko
Publisher : Springer Science & Business Media
ISBN 13 : 9400930690
Total Pages : 358 pages
Book Rating : 4.4/5 (9 download)
Download or read book Integrability and Nonintegrability in Geometry and Mechanics written by A.T. Fomenko and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. 1hen one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Oad in Crane Feathers' in R. Brown 'The point of a Pin' . • 1111 Oulik'. n. . Chi" •. • ~ Mm~ Mu,d. ", Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Author : Robert Hermann
Publisher :
ISBN 13 :
Total Pages : 624 pages
Book Rating : 4.:/5 (51 download)
Download or read book Interdisciplinary Mathematics written by Robert Hermann and published by . This book was released on 1988 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Hermann
Publisher : Math Science Press
ISBN 13 : 9780915692460
Total Pages : 205 pages
Book Rating : 4.6/5 (924 download)
Download or read book C-O-R Generalized Functions, Current Algebras, and Control written by Robert Hermann and published by Math Science Press. This book was released on 1994 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ron Donagi
Publisher : Cambridge University Press
ISBN 13 : 1108805337
Total Pages : 537 pages
Book Rating : 4.1/5 (88 download)
Download or read book Integrable Systems and Algebraic Geometry: Volume 2 written by Ron Donagi and published by Cambridge University Press. This book was released on 2020-04-02 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Created as a celebration of mathematical pioneer Emma Previato, this comprehensive second volume highlights the connections between her main fields of research, namely algebraic geometry and integrable systems. Written by leaders in the field, the text is accessible to graduate students and non-experts, as well as researchers.
Author : Robert Hermann
Publisher :
ISBN 13 :
Total Pages : 460 pages
Book Rating : 4.3/5 (91 download)
Download or read book Interdisciplinary Mathematics: Geometric structure of systems-control theory and physics, pt.A written by Robert Hermann and published by . This book was released on 1974 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Hermann
Publisher : Math-Sci Press
ISBN 13 : 9780915692453
Total Pages : 286 pages
Book Rating : 4.6/5 (924 download)
Download or read book Lie-Theoretic Ode Numerical Analysis, Mechanics and Differential Systems written by Robert Hermann and published by Math-Sci Press. This book was released on 1994 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Hermann
Publisher : Math-Sci Press
ISBN 13 :
Total Pages : 508 pages
Book Rating : 4.3/5 (91 download)
Download or read book Geometric Structure Theory of Systems-control, Theory and Physics written by Robert Hermann and published by Math-Sci Press. This book was released on 1976 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Hermann
Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.3/5 (91 download)
Download or read book Interdisciplinary Mathematics: Lie - theoretic ode numerical analysis, mechanics and differential systems written by Robert Hermann and published by . This book was released on 1973 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
