Geometrical Themes Inspired By The N Body Problem PDF Download
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Author | : Luis Hernández-Lamoneda |
Publisher | : Springer |
Total Pages | : 133 |
Release | : 2018-02-26 |
Genre | : Mathematics |
ISBN | : 3319714287 |
Download Geometrical Themes Inspired by the N-body Problem Book in PDF, ePub and Kindle
Presenting a selection of recent developments in geometrical problems inspired by the N-body problem, these lecture notes offer a variety of approaches to study them, ranging from variational to dynamical, while developing new insights, making geometrical and topological detours, and providing historical references. A. Guillot’s notes aim to describe differential equations in the complex domain, motivated by the evolution of N particles moving on the plane subject to the influence of a magnetic field. Guillot studies such differential equations using different geometric structures on complex curves (in the sense of W. Thurston) in order to find isochronicity conditions. R. Montgomery’s notes deal with a version of the planar Newtonian three-body equation. Namely, he investigates the problem of whether every free homotopy class is realized by a periodic geodesic. The solution involves geometry, dynamical systems, and the McGehee blow-up. A novelty of the approach is the use of energy-balance in order to motivate the McGehee transformation. A. Pedroza’s notes provide a brief introduction to Lagrangian Floer homology and its relation to the solution of the Arnol’d conjecture on the minimal number of non-degenerate fixed points of a Hamiltonian diffeomorphism.
Author | : Ron Donagi |
Publisher | : American Mathematical Society |
Total Pages | : 306 |
Release | : 2024-04-18 |
Genre | : Mathematics |
ISBN | : 1470472406 |
Download String-Math 2022 Book in PDF, ePub and Kindle
This is a proceedings volume from the String-Math conference which took place at the University of Warsaw in 2022. This 12th String-Math conference focused on several research areas actively developing these days. They included generalized (categorical) symmetries in quantum field theory and their relation to topological phases of matter; formal aspects of quantum field theory, in particular twisted holography; various developments in supersymmetric gauge theories, BPS counting and Donaldson–Thomas invariants. Other topics discussed at this conference included new advances in Gromov–Witten theory, curve counting, and Calabi–Yau manifolds. Another broad topic concerned algebraic aspects of conformal field theory, vertex operator algebras, and quantum groups. Furthermore, several other recent developments were presented during the conference, such as understanding the role of operator algebras in the presence of gravity, derivation of gauge-string duality, complexity of black holes, or mathematical aspects of the amplituhedron. This proceedings volume contains articles summarizing 14 conference lectures, devoted to the above topics.
Author | : Vitor Balestro |
Publisher | : Springer Nature |
Total Pages | : 1195 |
Release | : |
Genre | : |
ISBN | : 3031505077 |
Download Convexity from the Geometric Point of View Book in PDF, ePub and Kindle
Author | : Erich Kähler |
Publisher | : Walter de Gruyter |
Total Pages | : 984 |
Release | : 2011-07-13 |
Genre | : Mathematics |
ISBN | : 3110905434 |
Download Mathematische Werke / Mathematical Works Book in PDF, ePub and Kindle
For most mathematicians and many mathematical physicists the name Erich Kähler is strongly tied to important geometric notions such as Kähler metrics, Kähler manifolds and Kähler groups. They all go back to a paper of 14 pages written in 1932. This, however, is just a small part of Kähler's many outstanding achievements which cover an unusually wide area: From celestial mechanics he got into complex function theory, differential equations, analytic and complex geometry with differential forms, and then into his main topic, i.e. arithmetic geometry where he constructed a system of notions which is a precursor and, in large parts, equivalent to the now used system of Grothendieck and Dieudonné. His principal interest was in finding the unity in the variety of mathematical themes and establishing thus mathematics as a universal language. In this volume Kähler's mathematical papers are collected following a "Tribute to Herrn Erich Kähler" by S. S. Chern, an overview of Kähler's life data by A. Bohm and R. Berndt, and a Survey of his Mathematical Work by the editors. There are also comments and reports on the developments of the main topics of Kähler's work, starting by W. Neumann's paper on the topology of hypersurface singularities, J.-P. Bourguignon's report on Kähler geometry and, among others by Berndt, Bost, Deitmar, Ekeland, Kunz and Krieg, up to A. Nicolai's essay "Supersymmetry, Kähler geometry and Beyond". As Kähler's interest went beyond the realm of mathematics and mathematical physics, any picture of his work would be incomplete without touching his work reaching into other regions. So a short appendix reproduces three of his articles concerning his vision of mathematics as a universal Theme together with an essay by K. Maurin giving an "Approach to the philosophy of Erich Kähler".
Author | : Paul K. Newton |
Publisher | : Springer Science & Business Media |
Total Pages | : 430 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 146849290X |
Download The N-Vortex Problem Book in PDF, ePub and Kindle
This text is an introduction to current research on the N- vortex problem of fluid mechanics. It describes the Hamiltonian aspects of vortex dynamics as an entry point into the rather large literature on the topic, with exercises at the end of each chapter.
Author | : |
Publisher | : |
Total Pages | : 638 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : |
Download Mathematica - revue d'analyse numérique et de théorie de l'approximation Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : 48 |
Release | : 1959-02 |
Genre | : |
ISBN | : |
Download Bulletin of the Atomic Scientists Book in PDF, ePub and Kindle
The Bulletin of the Atomic Scientists is the premier public resource on scientific and technological developments that impact global security. Founded by Manhattan Project Scientists, the Bulletin's iconic "Doomsday Clock" stimulates solutions for a safer world.
Author | : Ana Cannas da Silva |
Publisher | : Springer |
Total Pages | : 240 |
Release | : 2004-10-27 |
Genre | : Mathematics |
ISBN | : 354045330X |
Download Lectures on Symplectic Geometry Book in PDF, ePub and Kindle
The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.
Author | : Amihud Gilead |
Publisher | : Springer Nature |
Total Pages | : 150 |
Release | : 2021-11-23 |
Genre | : Philosophy |
ISBN | : 3030841979 |
Download Restless Reason and Other Variations on Kantian Themes Book in PDF, ePub and Kindle
This book, combining integratively-revised previously-published papers with entirely new chapters, challenges and treats some major problems in Kant’s philosophy not by means of new interpretations but by suggesting some variations on Kantian themes. Such variations are, in fact, reconstructions made according to Kantian ideas and principles and yet cannot be extracted as such directly from his writings. The book also analyses Kant's philosophy from a new metaphysical angle, based on the original metaphysics of the author, called panenmentalism. It reconstructs some missing links in Kant's philosophy, such as the idea of teleological time, which is vital for Kant's moral theory. Although these variations cannot be found literally in Kant’s works, they can be legitimately explicated, developed, and implied from them. Such is the case because these variations are strictly compatible with the details of the texts and the texts as wholes, and because they are systematically integrated. Their coherence supports their validation. The target audiences are graduate and PhD students as well as specialist researchers of Kant's philosophy.
Author | : Benson Farb |
Publisher | : American Mathematical Soc. |
Total Pages | : 384 |
Release | : 2006-09-12 |
Genre | : Mathematics |
ISBN | : 0821838385 |
Download Problems on Mapping Class Groups and Related Topics Book in PDF, ePub and Kindle
The appearance of mapping class groups in mathematics is ubiquitous. The book presents 23 papers containing problems about mapping class groups, the moduli space of Riemann surfaces, Teichmuller geometry, and related areas. Each paper focusses completely on open problems and directions. The problems range in scope from specific computations, to broad programs. The goal is to have a rich source of problems which have been formulated explicitly and accessibly. The book is divided into four parts. Part I contains problems on the combinatorial and (co)homological group-theoretic aspects of mapping class groups, and the way in which these relate to problems in geometry and topology. Part II concentrates on connections with classification problems in 3-manifold theory, the theory of symplectic 4-manifolds, and algebraic geometry. A wide variety of problems, from understanding billiard trajectories to the classification of Kleinian groups, can be reduced to differential and synthetic geometry problems about moduli space. Such problems and connections are discussed in Part III. Mapping class groups are related, both concretely and philosophically, to a number of other groups, such as braid groups, lattices in semisimple Lie groups, and automorphism groups of free groups. Part IV concentrates on problems surrounding these relationships. This book should be of interest to anyone studying geometry, topology, algebraic geometry or infinite groups. It is meant to provide inspiration for everyone from graduate students to senior researchers.