Download or read book Integrable Systems in the realm of Algebraic Geometry written by Pol Vanhaecke and published by Springer. This book was released on 2013-11-11 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrable systems are related to algebraic geometry in many different ways. This book deals with some aspects of this relation, the main focus being on the algebraic geometry of the level manifolds of integrable systems and the construction of integrable systems, starting from algebraic geometric data. For a rigorous account of these matters, integrable systems are defined on affine algebraic varieties rather than on smooth manifolds. The exposition is self-contained and is accessible at the graduate level; in particular, prior knowledge of integrable systems is not assumed.

Download or read book Integrable Systems and Algebraic Geometry 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: A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.

Download or read book Tropical Geometry and Integrable Systems written by Chris Athorne and published by American Mathematical Soc.. This book was released on 2012 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference on tropical geometry and integrable systems, held July 3-8, 2011, at the University of Glasgow, United Kingdom. One of the aims of this conference was to bring together researchers in the field of tropical geometry and its applications, from apparently disparate ends of the spectrum, to foster a mutual understanding and establish a common language which will encourage further developments of the area. This aim is reflected in these articles, which cover areas from automata, through cluster algebras, to enumerative geometry. In addition, two survey articles are included which introduce ideas from researchers on one end of this spectrum to researchers on the other. This book is intended for graduate students and researchers interested in tropical geometry and integrable systems and the developing links between these two areas.

Download or read book Algebraic Integrability Painlev Geometry and Lie Algebras written by Mark Adler and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Ergebnisse volume is aimed at a wide readership of mathematicians and physicists, graduate students and professionals. The main thrust of the book is to show how algebraic geometry, Lie theory and Painlevé analysis can be used to explicitly solve integrable differential equations and construct the algebraic tori on which they linearize; at the same time, it is, for the student, a playing ground to applying algebraic geometry and Lie theory. The book is meant to be reasonably self-contained and presents numerous examples. The latter appear throughout the text to illustrate the ideas, and make up the core of the last part of the book. The first part of the book contains the basic tools from Lie groups, algebraic and differential geometry to understand the main topic.

Download or read book Integrable Systems and Foliations written by Claude Albert and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume are an outgrowth of a colloquium "Systemes Integrables et Feuilletages," which was held in honor of the sixtieth birthday of Pierre Molino. The topics cover the broad range of mathematical areas which were of keen interest to Molino, namely, integral systems and more generally symplectic geometry and Poisson structures, foliations and Lie transverse structures, transitive structures, and classification problems.

Download or read book Recent Developments in Integrable Systems and Related Topics of Mathematical Physics written by Victor M. Buchstaber and published by Springer. This book was released on 2018-12-30 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, whose contributors include leading researchers in their field, covers a wide range of topics surrounding Integrable Systems, from theoretical developments to applications. Comprising a unique collection of research articles and surveys, the book aims to serve as a bridge between the various areas of Mathematics related to Integrable Systems and Mathematical Physics. Recommended for postgraduate students and early career researchers who aim to acquire knowledge in this area in preparation for further research, this book is also suitable for established researchers aiming to get up to speed with recent developments in the area, and may very well be used as a guide for further study.

Download or read book Classical and Quantum Nonlinear Integrable Systems written by A Kundu and published by CRC Press. This book was released on 2019-04-23 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering both classical and quantum models, nonlinear integrable systems are of considerable theoretical and practical interest, with applications over a wide range of topics, including water waves, pin models, nonlinear optics, correlated electron systems, plasma physics, and reaction-diffusion processes. Comprising one part on classical theories

Download or read book Geometric Control and Numerical Aspects of Nonholonomic Systems written by Jorge Cortés Monforte and published by Springer. This book was released on 2004-10-19 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonholonomic systems are a widespread topic in several scientific and commercial domains, including robotics, locomotion and space exploration. This work sheds new light on this interdisciplinary character through the investigation of a variety of aspects coming from several disciplines. The main aim is to illustrate the idea that a better understanding of the geometric structures of mechanical systems unveils new and unknown aspects to them, and helps both analysis and design to solve standing problems and identify new challenges. In this way, separate areas of research such as Classical Mechanics, Differential Geometry, Numerical Analysis or Control Theory are brought together in this study of nonholonomic systems.

Download or read book Symmetry and Perturbation Theory written by Simonetta Abenda and published by World Scientific. This book was released on 2002 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: An Outline of the Geometrical Theory of the Separation of Variables in the Hamilton-Jacobi and Schrodinger Equations (S Benenti); Partial Symmetries and Symmetric Sets of Solutions to PDEs (G Cicogna); Bifurcations in Flow-Induced Vibrations (S Fatimah & F Verhulst); Steklov-Lyapunov Type Systems (Y Fedorov); Renormalization Group and Summation of Divergent Series for Hyperbolic Invariant Tori (G Gentile); On the Linearization of holomorphic Vector Fields in the Siegel Domain with Linear Parts Having Nontrivial Jordan Blocks (T Gramchev); On the Algebro Geometric Solution of a 3x3 Matrix Riemann-Hilbert Problem (v Enolskii & T Grava); Smooth Normalization of a Vector Field Near an Invariant Manifold ((a Kopanskii); Inverse Problems for SL(2) Lattices (V Kuznetsov); Some Remarks about the Geometry of Hamiltonian Conservation Laws (J P Ortega); Janet's Algorithm (W Plesken); Some Integrable Billiards (E Previato); Symmetries of Relative Equilibria for Simple Mechanical Systems (M R Olmos & M E S Dias); A Spectral Sequences Approach to Normal Forms (J Sanders); Rational Parametrization of Strata in Orbit Spaces of Compact Linear Groups (G Sartori & G Valente); Effective Hamiltonians and Perturbation Theory for Quantum Bound States of Nucleur Motion in Molecules (V Tyuterev); Generalized Hasimoto Transformation and Vector Sine-Gordon Equation (J P Wang); and other papers. Readership: Researchers and graduate students in mathematical and theoretical physics, and nonlinears science.

Download or read book Symmetry And Perturbation Theory Proceedings Of The International Conference On Spt 2002 written by Sebastian Walcher and published by World Scientific. This book was released on 2003-01-14 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the fourth conference on “Supersymmetry and Perturbation Theory” (SPT 2002). The proceedings present original results and state-of-the-art reviews on topics related to symmetry, integrability and perturbation theory, etc.

Download or read book Integral Geometry Radon Transforms and Complex Analysis written by Carlos A. Berenstein and published by Springer Science & Business Media. This book was released on 1998-04-16 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the notes of five short courses delivered at the "Centro Internazionale Matematico Estivo" session "Integral Geometry, Radon Transforms and Complex Analysis" held in Venice (Italy) in June 1996: three of them deal with various aspects of integral geometry, with a common emphasis on several kinds of Radon transforms, their properties and applications, the other two share a stress on CR manifolds and related problems. All lectures are accessible to a wide audience, and provide self-contained introductions and short surveys on the subjects, as well as detailed expositions of selected results.

Download or read book Symplectic Geometry and Topology written by Y. Eliashberg and published by American Mathematical Soc.. This book was released on 1999 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symplectic geometry has its origins as a geometric language for classical mechanics. But it has recently exploded into an independent field interconnected with many other areas of mathematics and physics. The goal of the IAS/Park City Mathematics Institute Graduate Summer School on Symplectic Geometry and Topology was to give an intensive introduction to these exciting areas of current research. Included in this proceedings are lecture notes from the following courses: Introductionto Symplectic Topology by D. McDuff; Holomorphic Curves and Dynamics in Dimension Three by H. Hofer; An Introduction to the Seiberg-Witten Equations on Symplectic Manifolds by C. Taubes; Lectures on Floer Homology by D. Salamon; A Tutorial on Quantum Cohomology by A. Givental; Euler Characteristicsand Lagrangian Intersections by R. MacPherson; Hamiltonian Group Actions and Symplectic Reduction by L. Jeffrey; and Mechanics: Symmetry and Dynamics by J. Marsden. Information for our distributors: Titles in this series are copublished with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.

Download or read book The Boundary Domain Integral Method for Elliptic Systems written by Andreas Pomp and published by Springer Science & Business Media. This book was released on 1998-03-18 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph gives a description of all algorithmic steps and a mathematical foundation for a special numerical method, namely the boundary-domain integral method (BDIM). This method is a generalization of the well-known boundary element method, but it is also applicable to linear elliptic systems with variable coefficients, especially to shell equations. The text should be understandable at the beginning graduate-level. It is addressed to researchers in the fields of numerical analysis and computational mechanics, and will be of interest to everyone looking at serious alternatives to the well-established finite element methods.

Download or read book Characters and Cyclotomic Fields in Finite Geometry written by Bernhard Schmidt and published by Springer. This book was released on 2004-10-13 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph contributes to the existence theory of difference sets, cyclic irreducible codes and similar objects. The new method of field descent for cyclotomic integers of presribed absolute value is developed. Applications include the first substantial progress towards the Circulant Hadamard Matrix Conjecture and Ryser`s conjecture since decades. It is shown that there is no Barker sequence of length l with 13

Download or read book Calculus of Variations and Geometric Evolution Problems written by F. Bethuel and published by Springer Science & Business Media. This book was released on 1999-10-19 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The international summer school on Calculus of Variations and Geometric Evolution Problems was held at Cetraro, Italy, 1996. The contributions to this volume reflect quite closely the lectures given at Cetraro which have provided an image of a fairly broad field in analysis where in recent years we have seen many important contributions. Among the topics treated in the courses were variational methods for Ginzburg-Landau equations, variational models for microstructure and phase transitions, a variational treatment of the Plateau problem for surfaces of prescribed mean curvature in Riemannian manifolds - both from the classical point of view and in the setting of geometric measure theory.

Download or read book Arithmetic Theory of Elliptic Curves written by J. Coates and published by Springer Science & Business Media. This book was released on 1999-10-19 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the expanded versions of the lectures given by the authors at the C.I.M.E. instructional conference held in Cetraro, Italy, from July 12 to 19, 1997. The papers collected here are broad surveys of the current research in the arithmetic of elliptic curves, and also contain several new results which cannot be found elsewhere in the literature. Owing to clarity and elegance of exposition, and to the background material explicitly included in the text or quoted in the references, the volume is well suited to research students as well as to senior mathematicians.

Download or read book Periodic Solutions of the N Body Problem written by Kenneth R. Meyer and published by Springer Science & Business Media. This book was released on 1999-11-17 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lecture Notes in Mathematics This series reports on new developments in mathematical research and teaching - quickly, informally and at a high level. The type of material considered for publication includes 1. Research monographs 2. Lectures on a new field or presentations of a new angle in a classical field 3. Summer schools and intensive courses on topics of current research Texts which are out of print but still in demand may also be considered. The timeliness of a manuscript is sometimes more important than its form, which might be preliminary or tentative. Details of the editorial policy can be found on the inside front-cover of a current volume. Manuscripts should be submitted in camera-ready form according to Springer-Verlag's specification: technical instructions will be sent on request. TEX macros may be found at: http://www.springer.de/math/authors/b-tex.html Select the version of TEX you use and then click on "Monographs". A subject index should be included. We recommend contacting the publisher or the series editors at an early stage of your project. Addresses are given on the inside back-cover.