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BT 34.016 770.821 Td /F1 22.5 Tf [(Harmonic Maps Loop Groups And Integrable Systems London Mathematical Society Student Texts)] TJ ET
BT 34.016 728.013 Td /F1 11.2 Tf [(Yeah, reviewing a book )] TJ ET
BT 154.076 728.013 Td /F1 11.2 Tf [(Harmonic Maps Loop Groups And Integrable Systems London Mathematical Society Student Texts)] TJ ET
BT 646.792 728.013 Td /F1 11.2 Tf [( could add your near friends listings. This is just one of the solutions for you to be successful. As )] TJ ET
BT 34.016 714.277 Td /F1 11.2 Tf [(understood, realization does not recommend that you have fabulous points. )] TJ ET
BT 34.016 687.040 Td /F1 11.2 Tf [(Comprehending as capably as covenant even more than further will provide each success. neighboring to, the statement as capably as keenness of this Harmonic Maps Loop Groups And Integrable Systems London )] TJ ET
BT 34.016 673.304 Td /F1 11.2 Tf [(Mathematical Society Student Texts can be taken as capably as picked to act.)] TJ ET
BT 34.016 623.568 Td /F1 11.2 Tf [(Balkan Journal of Geometry and Its Applications)] TJ ET
BT 274.124 623.568 Td /F1 11.2 Tf [( 2004 )] TJ ET
BT 34.016 609.832 Td /F1 11.2 Tf [(Jordan Algebras)] TJ ET
BT 115.927 609.832 Td /F1 11.2 Tf [( Wilhelm Kaup 1994-01-01 The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular )] TJ ET
BT 34.016 596.095 Td /F1 11.2 Tf [(conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.)] TJ ET
BT 34.016 582.359 Td /F1 11.2 Tf [(Algebraic Integrability, Painlevé Geometry and Lie Algebras)] TJ ET
BT 331.016 582.359 Td /F1 11.2 Tf [( Mark Adler 2004-09-01 This Ergebnisse volume is aimed at a wide readership of mathematicians and physicists, graduate students and professionals. The main )] TJ ET
BT 34.016 568.623 Td /F1 11.2 Tf [(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 )] TJ ET
BT 34.016 554.887 Td /F1 11.2 Tf [(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 )] TJ ET
BT 34.016 541.150 Td /F1 11.2 Tf [(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.)] TJ ET
BT 34.016 527.414 Td /F1 11.2 Tf [(The Prime Number Theorem)] TJ ET
0.000 0.000 0.000 RG
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34.016 525.558 m 177.172 525.558 l S
BT 177.172 527.414 Td /F1 11.2 Tf [( G. J. O. Jameson 2003-04-17 At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tells us \(in )] TJ ET
BT 34.016 513.678 Td /F1 11.2 Tf [(an approximate but well defined sense\) how many primes we can expect to find that are less than any integer we might choose. The prime number theorem tells us what this formula is and it is indisputably one of the great )] TJ ET
BT 34.016 499.942 Td /F1 11.2 Tf [(classical theorems of mathematics. This textbook gives an introduction to the prime number theorem suitable for advanced undergraduates and beginning graduate students. The author's aim is to show the reader how the )] TJ ET
BT 34.016 486.205 Td /F1 11.2 Tf [(tools of analysis can be used in number theory to attack a 'real' problem, and it is based on his own experiences of teaching this material.)] TJ ET
BT 34.016 472.469 Td /F1 11.2 Tf [(American journal of mathematics)] TJ ET
0.225 w 0 J [ ] 0 d
34.016 470.613 m 197.816 470.613 l S
BT 197.816 472.469 Td /F1 11.2 Tf [( 2004 )] TJ ET
BT 34.016 458.733 Td /F1 11.2 Tf [(Integrable Systems, Topology, and Physics)] TJ ET
BT 249.734 458.733 Td /F1 11.2 Tf [( Joel B Wolfe 2002 Ideas and techniques from the theory of integrable systems are playing an increasingly important role in geometry. Thanks to the development of tools from Lie )] TJ ET
BT 34.016 444.997 Td /F1 11.2 Tf [(theory, algebraic geometry, symplectic geometry, and topology, classical problems are investigated more systematically. New problems are also arising in mathematical physics. A major international conference was held at )] TJ ET
BT 34.016 431.260 Td /F1 11.2 Tf [(the University of Tokyo in July 2000. It brought together scientists in all of the areas influenced by integrable systems. This book is the second of three collections of expository and research articles. This volume focuses on )] TJ ET
BT 34.016 417.524 Td /F1 11.2 Tf [(topology and physics. The role of zero curvature equations outside of the traditional context of differential geometry has been recognized relatively recently, but it has been an extraordinarily productive one, and most of the )] TJ ET
BT 34.016 403.788 Td /F1 11.2 Tf [(articles in this volume make some reference to it.Symplectic geometry, Floer homology, twistor theory, quantum cohomology, and the structure of special equations of mathematical physics, such as the Toda field equations - )] TJ ET
BT 34.016 390.052 Td /F1 11.2 Tf [(all of these areas have gained from the integrable systems point of view and contributed to it. Many of the articles in this volume are written by prominent researchers and will serve as introductions to the topics. It is intended )] TJ ET
BT 34.016 376.315 Td /F1 11.2 Tf [(for graduate students and researchers interested in integrable systems and their relations to differential geometry, topology, algebraic geometry, and physics. The first volume from this conference, also available from the )] TJ ET
BT 34.016 362.579 Td /F1 11.2 Tf [('AMS', is ""Differential Geometry and Integrable Systems, Volume 308"" in the ""Contemporary Mathematics"" series. The forthcoming third volume will be published by the Mathematical Society of Japan and will be available )] TJ ET
BT 34.016 348.843 Td /F1 11.2 Tf [(outside of Japan from the 'AMS' in the ""Advanced Studies in Pure Mathematics"" series.)] TJ ET
BT 34.016 335.107 Td /F1 11.2 Tf [(From Quantum Cohomology to Integrable Systems)] TJ ET
BT 287.861 335.107 Td /F1 11.2 Tf [( Martin A. Guest 2008-03-13 Quantum cohomology has its origins in symplectic geometry and algebraic geometry, but is deeply related to differential equations and )] TJ ET
BT 34.016 321.370 Td /F1 11.2 Tf [(integrable systems. This text explains what is behind the extraordinary success of quantum cohomology, leading to its connections with many existing areas of mathematics as well as its appearance in new areas such as )] TJ ET
BT 34.016 307.634 Td /F1 11.2 Tf [(mirror symmetry. Certain kinds of differential equations \(or D-modules\) provide the key links between quantum cohomology and traditional mathematics; these links are the main focus of the book, and quantum cohomology )] TJ ET
BT 34.016 293.898 Td /F1 11.2 Tf [(and other integrable PDEs such as the KdV equation and the harmonic map equation are discussed within this unified framework. Aimed at graduate students in mathematics who want to learn about quantum cohomology in a )] TJ ET
BT 34.016 280.162 Td /F1 11.2 Tf [(broad context, and theoretical physicists who are interested in the mathematical setting, the text assumes basic familiarity with differential equations and cohomology.)] TJ ET
BT 34.016 266.425 Td /F1 11.2 Tf [(Analele ?tiin?ifice ale Universitatii "Al. I. Cuza" din Ia?i. Serie nou?)] TJ ET
BT 364.012 266.425 Td /F1 11.2 Tf [( Universitatea "Al. I. Cuza" din Ia?i 2002 )] TJ ET
BT 34.016 252.689 Td /F1 11.2 Tf [(Differential Geometry and Integrable Systems)] TJ ET
BT 261.603 252.689 Td /F1 11.2 Tf [( Martin A. Guest 2002 Ideas and techniques from the theory of integrable systems are playing an increasingly important role in geometry. Thanks to the development of tools from )] TJ ET
BT 34.016 238.953 Td /F1 11.2 Tf [(Lie theory, algebraic geometry, symplectic geometry, and topology, classical problems are investigated more systematically. New problems are also arising in mathematical physics. A major international conference was held )] TJ ET
BT 34.016 225.217 Td /F1 11.2 Tf [(at the University of Tokyo in July 2000. It brought together scientists in all of the areas influenced by integrable systems. This book is the first of three collections of expository and research articles. This volume focuses on )] TJ ET
BT 34.016 211.480 Td /F1 11.2 Tf [(differential geometry. It is remarkable that many classical objects in surface theory and submanifold theory are described as integrable systems. Having such a description generally reveals previously unnoticed symmetries )] TJ ET
BT 34.016 197.744 Td /F1 11.2 Tf [(and can lead to surprisingly explicit solutions.Surfaces of constant curvature in Euclidean space, harmonic maps from surfaces to symmetric spaces, and analogous structures on higher-dimensional manifolds are some of the )] TJ ET
BT 34.016 184.008 Td /F1 11.2 Tf [(examples that have broadened the horizons of differential geometry, bringing a rich supply of concrete examples into the theory of integrable systems. Many of the articles in this volume are written by prominent researchers )] TJ ET
BT 34.016 170.272 Td /F1 11.2 Tf [(and will serve as introductions to the topics. It is intended for graduate students and researchers interested in integrable systems and their relations to differential geometry, topology, algebraic geometry, and physics. The )] TJ ET
BT 34.016 156.535 Td /F1 11.2 Tf [(second volume from this conference, also available from the 'AMS', is ""Integrable Systems, Topology, and Physics, Volume 309"" in the ""Contemporary Mathematics"" series. The forthcoming third volume will be published )] TJ ET
BT 34.016 142.799 Td /F1 11.2 Tf [(by the Mathematical Society of Japan and will be available outside of Japan from the 'AMS' in the ""Advanced Studies in Pure Mathematics"" series.)] TJ ET
BT 34.016 129.063 Td /F1 11.2 Tf [(Surveys on Geometry and Integrable Systems)] TJ ET
BT 264.112 129.063 Td /F1 11.2 Tf [( Martin A. Guest 2008 The articles in this volume provide a panoramic view of the role of geometry in integrable systems, firmly rooted in surface theory but currently branching out )] TJ ET
BT 34.016 115.327 Td /F1 11.2 Tf [(in all directions.The longer articles by Bobenko \(the Bonnet problem\), Dorfmeister \(the generalized Weierstrass representation\), Joyce \(special Lagrangian 3-folds\) and Terng \(geometry of soliton equations\) are substantial )] TJ ET
BT 34.016 101.590 Td /F1 11.2 Tf [(surveys of several aspects of the subject. The shorter ones indicate more briefly how the classical ideas have spread throughout differential geometry, symplectic geometry, algebraic geometry, and theoretical )] TJ ET
BT 34.016 87.854 Td /F1 11.2 Tf [(physics.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America)] TJ ET
BT 34.016 74.118 Td /F1 11.2 Tf [(Minimal Surfaces: Integrable Systems and Visualisation)] TJ ET
BT 310.991 74.118 Td /F1 11.2 Tf [( Tim Hoffmann 2021-05-06 This book collects original peer-reviewed contributions to the conferences organised by the international research network “Minimal surfaces: )] TJ ET
BT 34.016 60.382 Td /F1 11.2 Tf [(Integrable Systems and Visualization” financed by the Leverhulme Trust. The conferences took place in Cork, Granada, Munich and Leicester between 2016 and 2019. Within the theme of the network, the presented articles )] TJ ET
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BT 34.016 796.885 Td /F1 11.2 Tf [(cover a broad range of topics and explore exciting links between problems related to the mean curvature of surfaces in homogeneous 3-manifolds, like minimal surfaces, CMC surfaces and mean curvature flows, integrable )] TJ ET
BT 34.016 783.149 Td /F1 11.2 Tf [(systems and visualisation. Combining research and overview articles by prominent international researchers, the book offers a valuable resource for both researchers and students who are interested in this research area.)] TJ ET
BT 34.016 769.413 Td /F1 11.2 Tf [(Harmonic Morphisms, Harmonic Maps and Related Topics)] TJ ET
BT 325.334 769.413 Td /F1 11.2 Tf [( Christopher Kum Anand 1999-10-13 The subject of harmonic morphisms is relatively new but has attracted a huge worldwide following. Mathematicians, young )] TJ ET
BT 34.016 755.677 Td /F1 11.2 Tf [(researchers and distinguished experts came from all corners of the globe to the City of Brest - site of the first, international conference devoted to the fledgling but dynamic field of harmonic morphisms. Harmonic Morphisms, )] TJ ET
BT 34.016 741.940 Td /F1 11.2 Tf [(Harmonic Maps, and Related Topics reports the proceedings of that conference, forms the first work primarily devoted to harmonic morphisms, bringing together contributions from the founders of the subject, leading )] TJ ET
BT 34.016 728.204 Td /F1 11.2 Tf [(specialists, and experts in other related fields. Starting with "The Beginnings of Harmonic Morphisms," which provides the essential background, the first section includes papers on the stability of harmonic morphisms, global )] TJ ET
BT 34.016 714.468 Td /F1 11.2 Tf [(properties, harmonic polynomial morphisms, Bochner technique, f-structures, symplectic harmonic morphisms, and discrete harmonic morphisms. The second section addresses the wider domain of harmonic maps and )] TJ ET
BT 34.016 700.732 Td /F1 11.2 Tf [(contains some of the most recent results on harmonic maps and surfaces. The final section highlights the rapidly developing subject of constant mean curvature surfaces. Harmonic Morphisms, Harmonic Maps, and Related )] TJ ET
BT 34.016 686.995 Td /F1 11.2 Tf [(Topics offers a coherent, balanced account of this fast-growing subject that furnishes a vital reference for anyone working in the field.)] TJ ET
BT 34.016 673.259 Td /F1 11.2 Tf [(Elliptic Integrable Systems)] TJ ET
BT 165.933 673.259 Td /F1 11.2 Tf [( Idrisse Khemar 2012 In this paper, the author studies all the elliptic integrable systems, in the sense of C, that is to say, the family of all the $m$-th elliptic integrable systems associated to a )] TJ ET
BT 34.016 659.523 Td /F1 11.2 Tf [($k^\\prime$-symmetric space $N=G/G_0$. The author describes the geometry behind this family of integrable systems for which we know how to construct \(at least locally\) all the solutions. The introduction gives an overview )] TJ ET
BT 34.016 645.787 Td /F1 11.2 Tf [(of all the main results, as well as some related subjects and works, and some additional motivations.)] TJ ET
BT 34.016 632.050 Td /F1 11.2 Tf [(Harmonic Maps and Differential Geometry)] TJ ET
BT 244.076 632.050 Td /F1 11.2 Tf [( John C. Wood 2011 This volume contains the proceedings of a conference held in Cagliari, Italy, from September 7-10, 2009, to celebrate John C. Wood's 60th birthday. These )] TJ ET
BT 34.016 618.314 Td /F1 11.2 Tf [(papers reflect the many facets of the theory of harmonic maps and its links and connections with other topics in Differential and Riemannian Geometry. Two long reports, one on constant mean curvature surfaces by F. Pedit )] TJ ET
BT 34.016 604.578 Td /F1 11.2 Tf [(and the other on the construction of harmonic maps by J. C. Wood, open the proceedings. These are followed by a mix of surveys on Prof. Wood's area of expertise: Lagrangian surfaces, biharmonic maps, locally conformally )] TJ ET
BT 34.016 590.842 Td /F1 11.2 Tf [(Kahler manifolds and the DDVV conjecture, as well as several research papers on harmonic maps. Other research papers in the volume are devoted to Willmore surfaces, Goldstein-Pedrich flows, contact pairs, prescribed )] TJ ET
BT 34.016 577.105 Td /F1 11.2 Tf [(Ricci curvature, conformal fibrations, the Fadeev-Hopf model, the Compact Support Principle and the curvature of surfaces.)] TJ ET
BT 34.016 563.369 Td /F1 11.2 Tf [(Bulletin of the American Mathematical Society)] TJ ET
BT 262.852 563.369 Td /F1 11.2 Tf [( 2003 )] TJ ET
BT 34.016 549.633 Td /F1 11.2 Tf [(Russian Mathematical Surveys)] TJ ET
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34.016 547.777 m 188.433 547.777 l S
BT 188.433 549.633 Td /F1 11.2 Tf [( 2006 )] TJ ET
BT 34.016 535.897 Td /F1 11.2 Tf [(JMSJ)] TJ ET
BT 62.141 535.897 Td /F1 11.2 Tf [( Nihon S?gakkai 2005 )] TJ ET
BT 34.016 522.160 Td /F1 11.2 Tf [(Bulletin \(new Series\) of the American Mathematical Society)] TJ ET
BT 329.114 522.160 Td /F1 11.2 Tf [( 2003 )] TJ ET
BT 34.016 508.424 Td /F1 11.2 Tf [(Encyclopedia of Nonlinear Science)] TJ ET
BT 207.839 508.424 Td /F1 11.2 Tf [( Alwyn Scott 2006-05-17 In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to )] TJ ET
BT 34.016 494.688 Td /F1 11.2 Tf [(key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and )] TJ ET
BT 34.016 480.952 Td /F1 11.2 Tf [(turbulence, and condensed matter physics, among others.)] TJ ET
BT 34.016 467.215 Td /F1 11.2 Tf [(Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields)] TJ ET
BT 685.447 467.215 Td /F1 11.2 Tf [( Yuan-Jen Chiang 2013-06-18 Harmonic maps between Riemannian manifolds were first )] TJ ET
BT 34.016 453.479 Td /F1 11.2 Tf [(established by James Eells and Joseph H. Sampson in 1964. Wave maps are harmonic maps on Minkowski spaces and have been studied since the 1990s. Yang-Mills fields, the critical points of Yang-Mills functionals of )] TJ ET
BT 34.016 439.743 Td /F1 11.2 Tf [(connections whose curvature tensors are harmonic, were explored by a few physicists in the 1950s, and biharmonic maps \(generalizing harmonic maps\) were introduced by Guoying Jiang in 1986. The book presents an )] TJ ET
BT 34.016 426.007 Td /F1 11.2 Tf [(overview of the important developments made in these fields since they first came up. Furthermore, it introduces biwave maps \(generalizing wave maps\) which were first studied by the author in 2009, and bi-Yang-Mills fields )] TJ ET
BT 34.016 412.270 Td /F1 11.2 Tf [(\(generalizing Yang-Mills fields\) first investigated by Toshiyuki Ichiyama, Jun-Ichi Inoguchi and Hajime Urakawa in 2008. Other topics discussed are exponential harmonic maps, exponential wave maps and exponential Yang-)] TJ ET
BT 34.016 398.534 Td /F1 11.2 Tf [(Mills fields.)] TJ ET
BT 34.016 384.798 Td /F1 11.2 Tf [(Integrable Systems, Loop Groups and Harmonic Maps)] TJ ET
BT 305.377 384.798 Td /F1 11.2 Tf [( Martin A. Guest 1995 )] TJ ET
BT 34.016 371.062 Td /F1 11.2 Tf [(Harmonic Maps, Loop Groups, and Integrable Systems)] TJ ET
0.225 w 0 J [ ] 0 d
34.016 369.205 m 308.504 369.205 l S
BT 308.504 371.062 Td /F1 11.2 Tf [( Martin A. Guest 1997-01-13 University-level introduction that leads to topics of current research in the theory of harmonic maps.)] TJ ET
BT 34.016 357.325 Td /F1 11.2 Tf [(Panamerican Mathematical Journal)] TJ ET
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34.016 355.469 m 210.326 355.469 l S
BT 210.326 357.325 Td /F1 11.2 Tf [( 2003 )] TJ ET
BT 34.016 343.589 Td /F1 11.2 Tf [(Integrable Systems)] TJ ET
BT 130.304 343.589 Td /F1 11.2 Tf [( N. J. Hitchin 2013-03-14 This textbook is designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors. The book has its origins )] TJ ET
BT 34.016 329.853 Td /F1 11.2 Tf [(in a series of lecture courses given by the authors, all of whom are internationally known mathematicians and renowned expositors. It is written in an accessible and informal style, and fills a gap in the existing literature. The )] TJ ET
BT 34.016 316.117 Td /F1 11.2 Tf [(introduction by Nigel Hitchin addresses the meaning of integrability: how do we recognize an integrable system? His own contribution then develops connections with algebraic geometry, and includes an introduction to )] TJ ET
BT 34.016 302.380 Td /F1 11.2 Tf [(Riemann surfaces, sheaves, and line bundles. Graeme Segal takes the Kortewegde Vries and nonlinear Schrödinger equations as central examples, and explores the mathematical structures underlying the inverse scattering )] TJ ET
BT 34.016 288.644 Td /F1 11.2 Tf [(transform. He explains the roles of loop groups, the Grassmannian, and algebraic curves. In the final part of the book, Richard Ward explores the connection between integrability and the self-dual Yang-Mills equations, and )] TJ ET
BT 34.016 274.908 Td /F1 11.2 Tf [(describes the correspondence between solutions to integrable equations and holomorphic vector bundles over twistor space.)] TJ ET
BT 34.016 261.172 Td /F1 11.2 Tf [(Harmonic Maps, Loop Groups, and Integrable Systems)] TJ ET
0.225 w 0 J [ ] 0 d
34.016 259.315 m 308.504 259.315 l S
BT 308.504 261.172 Td /F1 11.2 Tf [( Martin A. Guest 1997-01-13 This is an accessible introduction to some of the fundamental connections among differential geometry, Lie groups, and integrable )] TJ ET
BT 34.016 247.435 Td /F1 11.2 Tf [(Hamiltonian systems. The text demonstrates how the theory of loop groups can be used to study harmonic maps. By concentrating on the main ideas and examples, the author leads up to topics of current research. The book )] TJ ET
BT 34.016 233.699 Td /F1 11.2 Tf [(is suitable for students who are beginning to study manifolds and Lie groups, and should be of interest both to mathematicians and to theoretical physicists as well.)] TJ ET
BT 34.016 219.963 Td /F1 11.2 Tf [(Harmonic Maps and Integrable Systems)] TJ ET
0.225 w 0 J [ ] 0 d
34.016 218.107 m 234.086 218.107 l S
BT 234.086 219.963 Td /F1 11.2 Tf [( John C. Wood 2013-07-02 )] TJ ET
BT 34.016 206.227 Td /F1 11.2 Tf [(Harmonic Maps, Conservation Laws and Moving Frames)] TJ ET
0.225 w 0 J [ ] 0 d
34.016 204.370 m 317.223 204.370 l S
BT 317.223 206.227 Td /F1 11.2 Tf [( Helein 2002-06-13 Publisher Description)] TJ ET
BT 34.016 192.490 Td /F1 11.2 Tf [(Mathematical Reviews)] TJ ET
BT 146.538 192.490 Td /F1 11.2 Tf [( 2007 )] TJ ET
BT 34.016 178.754 Td /F1 11.2 Tf [(Handbook of Global Analysis)] TJ ET
0.225 w 0 J [ ] 0 d
34.016 176.898 m 178.454 176.898 l S
BT 178.454 178.754 Td /F1 11.2 Tf [( Demeter Krupka 2011-08-11 This is a comprehensive exposition of topics covered by the American Mathematical Society’s classification “Global Analysis , dealing with modern developments in )] TJ ET
BT 34.016 165.018 Td /F1 11.2 Tf [(calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics. This book provides a comprehensive )] TJ ET
BT 34.016 151.282 Td /F1 11.2 Tf [(coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and )] TJ ET
BT 34.016 137.545 Td /F1 11.2 Tf [(differentiable mappings; differential equations \(including ODEs, differential systems and distributions, and spectral theory\); variational theory on manifolds, with applications to physics; function spaces on manifolds; jets, )] TJ ET
BT 34.016 123.809 Td /F1 11.2 Tf [(natural bundles and generalizations; and non-commutative geometry. - Comprehensive coverage of modern global analysis and geometrical mathematical physics - Written by world-experts in the field - Up-to-date contents)] TJ ET
BT 34.016 110.073 Td /F1 11.2 Tf [(Geometry, Topology and Physics)] TJ ET
BT 199.706 110.073 Td /F1 11.2 Tf [( Boris N. Apanasov 1997-01-01 The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated )] TJ ET
BT 34.016 96.337 Td /F1 11.2 Tf [(with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.)] TJ ET
BT 34.016 82.600 Td /F1 11.2 Tf [(Encyclopedia of Mathematical Physics)] TJ ET
BT 225.333 82.600 Td /F1 11.2 Tf [( Jean-Pierre Franc?\(Boise 2006 The Encyclopedia of Mathematical Physics provides a complete resource for researchers, students and lecturers with an interest in mathematical physics. )] TJ ET
BT 34.016 68.864 Td /F1 11.2 Tf [(It enables readers to access basic information on topics peripheral to their own areas, to provide a repository of the core information in the area that can be used to refresh the researcher's own memory banks, and aid )] TJ ET
BT 34.016 55.128 Td /F1 11.2 Tf [(teachers in directing students to entries relevant to their course-work. The Encyclopedia does contain information that has been distilled, organised and presented as a complete reference tool to the user and a landmark to the )] TJ ET
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BT 34.016 796.885 Td /F1 11.2 Tf [(body of knowledge that has accumulated in this domain. It also is a stimulus for new researchers working in mathematical physics or in areas using the methods originating from work in mathematical physics by providing them )] TJ ET
BT 34.016 783.149 Td /F1 11.2 Tf [(with focused high quality background information. Editorial Board: Jean-Pierre Fran?oise, Universit? Pierre et Marie Curie, Paris, France Gregory L. Naber, Drexel University, Philadelphia, PA, USA Tsou Sheung Tsun, )] TJ ET
BT 34.016 769.413 Td /F1 11.2 Tf [(University of Oxford, UK Also available online via ScienceDirect \(2006\) - featuring extensive browsing, searching, and internal cross-referencing between articles in the work, plus dynamic linking to journal articles and abstract )] TJ ET
BT 34.016 755.677 Td /F1 11.2 Tf [(databases, making navigation flexible and easy.)] TJ ET
BT 34.016 741.940 Td /F1 11.2 Tf [(Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems)] TJ ET
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BT 416.662 741.940 Td /F1 11.2 Tf [( Frederic Hélein 2012-12-06 This book intends to give an introduction to harmonic maps between a surface and a symmetric manifold and constant )] TJ ET
BT 34.016 728.204 Td /F1 11.2 Tf [(mean curvature surfaces as completely integrable systems. The presentation is accessible to undergraduate and graduate students in mathematics but will also be useful to researchers. It is among the first textbooks about )] TJ ET
BT 34.016 714.468 Td /F1 11.2 Tf [(integrable systems, their interplay with harmonic maps and the use of loop groups, and it presents the theory, for the first time, from the point of view of a differential geometer. The most important results are exposed with )] TJ ET
BT 34.016 700.732 Td /F1 11.2 Tf [(complete proofs \(except for the last two chapters, which require a minimal knowledge from the reader\). Some proofs have been completely rewritten with the objective, in particular, to clarify the relation between finite mean )] TJ ET
BT 34.016 686.995 Td /F1 11.2 Tf [(curvature tori, Wente tori and the loop group approach - an aspect largely neglected in the literature. The book helps the reader to access the ideas of the theory and to acquire a unified perspective of the subject.)] TJ ET
BT 34.016 673.259 Td /F1 11.2 Tf [(Elliptic Integrable Systems)] TJ ET
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34.016 671.403 m 165.933 671.403 l S
BT 165.933 673.259 Td /F1 11.2 Tf [( Idrisse Khemar 2012 Then we can integrate it in the corresponding loop group and finally apply some factorization theorems in loop groups to obtain a generalised Weierstrass representation: this is )] TJ ET
BT 34.016 659.523 Td /F1 11.2 Tf [(the DPW method. Moreover, these methods of integrable system theory hold for all the systems written in the forms of a zero curvature equation for some ??=??m? ?m+?+? 0+?+?m? m. Namely, these methods apply to )] TJ ET
BT 34.016 645.787 Td /F1 11.2 Tf [(construct the solutions of all the m m-th elliptic integrable systems. So it is natural to ask what is the geometric interpretation of these systems. Do they correspond to some generalisations of harmonic maps? This is the )] TJ ET
BT 34.016 632.050 Td /F1 11.2 Tf [(problem that we solve in this paper: to describe the geometry behind this family of integrable systems for which we know how to construct \(at least locally\) all the solutions. The introduction below gives an overview of all the )] TJ ET
BT 34.016 618.314 Td /F1 11.2 Tf [(main results, as well as some related subjects and works, and some additional motivations.)] TJ ET
BT 34.016 604.578 Td /F1 11.2 Tf [(Geometry Of Biharmonic Mappings: Differential Geometry Of Variational Methods)] TJ ET
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34.016 602.722 m 439.781 602.722 l S
BT 439.781 604.578 Td /F1 11.2 Tf [( Hajime Urakawa 2018-12-06 'The present volume, written in a clear and precise style, ends with a rich bibliography of 167 items, including )] TJ ET
BT 34.016 590.842 Td /F1 11.2 Tf [(some classical books and papers. In the reviewer’s opinion, this excellent monograph will be a basic reference for graduate students and researchers working in the field of differential geometry of variational )] TJ ET
BT 34.016 577.105 Td /F1 11.2 Tf [(methods.'zbMATHThe author describes harmonic maps which are critical points of the energy functional, and biharmonic maps which are critical points of the bienergy functional. Also given are fundamental materials of the )] TJ ET
BT 34.016 563.369 Td /F1 11.2 Tf [(variational methods in differential geometry, and also fundamental materials of differential geometry.)] TJ ET
BT 34.016 549.633 Td /F1 11.2 Tf [(Partial Differential Equations and Applications)] TJ ET
0.225 w 0 J [ ] 0 d
34.016 547.777 m 261.614 547.777 l S
BT 261.614 549.633 Td /F1 11.2 Tf [( Xue Ping Wang 2007 This volume contains expanded versions of lecture notes of CIMPA's school held in Lanzhou in July 2004. These texts offer a detailed survey, including the )] TJ ET
BT 34.016 535.897 Td /F1 11.2 Tf [(most recent advances, of some topics in analysis of partial differential equations arising from physics, mechanics and geometry such as Korteweg-de Vries equation, harmonic maps, Birkhoff normal form and KAM theorem for )] TJ ET
BT 34.016 522.160 Td /F1 11.2 Tf [(infinite dimensional dynamical systems, vorticity of Euler equation, semi-classical analysis of Schrodinger and Dirac equations, and limiting situations of semilinear elliptic equations. They are mainly aimed at students and )] TJ ET
BT 34.016 508.424 Td /F1 11.2 Tf [(young researchers interested in these subjects.)] TJ ET
BT 34.016 494.688 Td /F1 11.2 Tf [(Encyclopaedia of Mathematics)] TJ ET
BT 186.577 494.688 Td /F1 11.2 Tf [( Michiel Hazewinkel 2012-12-06 This is the second supplementary volume to Kluwer's highly acclaimed eleven-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 )] TJ ET
BT 34.016 480.952 Td /F1 11.2 Tf [(new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume )] TJ ET
BT 34.016 467.215 Td /F1 11.2 Tf [(enhances the existing eleven volumes, and together these twelve volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.)] TJ ET
BT 34.016 453.479 Td /F1 11.2 Tf [(Calabi-Yau Varieties: Arithmetic, Geometry and Physics)] TJ ET
BT 312.228 453.479 Td /F1 11.2 Tf [( Radu Laza 2015-08-27 This volume presents a lively introduction to the rapidly developing and vast research areas surrounding Calabi–Yau varieties and string theory. )] TJ ET
BT 34.016 439.743 Td /F1 11.2 Tf [(With its coverage of the various perspectives of a wide area of topics such as Hodge theory, Gross–Siebert program, moduli problems, toric approach, and arithmetic aspects, the book gives a comprehensive overview of the )] TJ ET
BT 34.016 426.007 Td /F1 11.2 Tf [(current streams of mathematical research in the area. The contributions in this book are based on lectures that took place during workshops with the following thematic titles: “Modular Forms Around String Theory,” )] TJ ET
BT 34.016 412.270 Td /F1 11.2 Tf [(“Enumerative Geometry and Calabi–Yau Varieties,” “Physics Around Mirror Symmetry,” “Hodge Theory in String Theory.” The book is ideal for graduate students and researchers learning about Calabi–Yau varieties as well as )] TJ ET
BT 34.016 398.534 Td /F1 11.2 Tf [(physics students and string theorists who wish to learn the mathematics behind these varieties.)] TJ ET
BT 34.016 384.798 Td /F1 11.2 Tf [(Harmonic Maps and Integrable Systems)] TJ ET
BT 234.086 384.798 Td /F1 11.2 Tf [( Allan P. Fordy 1994 This book brings together experts in the field to explain the ideas involved in the application of the theory of integrable systems to finding harmonic maps and )] TJ ET
BT 34.016 371.062 Td /F1 11.2 Tf [(related geometric objects. It had its genesis in a conference with the same title organised by the editors and held at Leeds in May 1992. However, it is not a conference proceedings, but rather a sequence of invited expositions )] TJ ET
BT 34.016 357.325 Td /F1 11.2 Tf [(by experts in the field which, we hope, together form a coherent account of the theory. The editors have added cross-references between articles and have written introductory articles in an effort to make the book self-)] TJ ET
BT 34.016 343.589 Td /F1 11.2 Tf [(contained. There are articles giving the points of view of both geometry and mathematical physics. Leeds, England A. P. Fordy October 1993 J. e. Wood Authors' addresses J. Bolton, Dept. of Math. Sciences, Univ. of )] TJ ET
BT 34.016 329.853 Td /F1 11.2 Tf [(Durham, South Road, Durham, DHI 3LE, UK A. I. Bobenko, FB Math. , Tecbnische Univ. , Strasse des 17. Juni. 135, 10623 Berlin, Germany M. Bordemann, Falc. fUr Physik, Albert-Ludwigs'Univ. , H. -Herder-Str. 3, 79104 )] TJ ET
BT 34.016 316.117 Td /F1 11.2 Tf [(Freiburg, Germany F. E. Burstall, Dept. of Mathematics, Univ. of Bath, Claverton Down, Bath, BA 7 7 AY, UK A. P. Fordy, School of Mathematics, Univ. of Leeds, Leeds, LS2 9JT, UK M. Forger, Falc. fUr Physik, Albert-)] TJ ET
BT 34.016 302.380 Td /F1 11.2 Tf [(Ludwigs Univ. , H. -Herder-Str. 3, 79104 Freiburg, Germany M. A. Guest, Dept. of Mathematics, Univ. of Rochester, Rochester, NY 14627, USA P. Z. Kobalc, Math. Institute, Univ. of Oxford, 24-29 St.)] TJ ET
BT 34.016 288.644 Td /F1 11.2 Tf [(Darboux Transformations in Integrable Systems)] TJ ET
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BT 272.223 288.644 Td /F1 11.2 Tf [( Chaohao Gu 2006-07-09 The Darboux transformation approach is one of the most effective methods for constructing explicit solutions of partial differential equations which are )] TJ ET
BT 34.016 274.908 Td /F1 11.2 Tf [(called integrable systems and play important roles in mechanics, physics and differential geometry. This book presents the Darboux transformations in matrix form and provides purely algebraic algorithms for constructing the )] TJ ET
BT 34.016 261.172 Td /F1 11.2 Tf [(explicit solutions. A basis for using symbolic computations to obtain the explicit exact solutions for many integrable systems is established. Moreover, the behavior of simple and multi-solutions, even in multi-dimensional cases, )] TJ ET
BT 34.016 247.435 Td /F1 11.2 Tf [(can be elucidated clearly. The method covers a series of important equations such as various kinds of AKNS systems in R1+n, harmonic maps from 2-dimensional manifolds, self-dual Yang-Mills fields and the generalizations )] TJ ET
BT 34.016 233.699 Td /F1 11.2 Tf [(to higher dimensional case, theory of line congruences in three dimensions or higher dimensional space etc. All these cases are explained in detail. This book contains many results that were obtained by the authors in the )] TJ ET
BT 34.016 219.963 Td /F1 11.2 Tf [(past few years. Audience: The book has been written for specialists, teachers and graduate students \(or undergraduate students of higher grade\) in mathematics and physics.)] TJ ET
BT 34.016 206.227 Td /F1 11.2 Tf [(Selected Papers on Harmonic Analysis, Groups, and Invariants)] TJ ET
BT 348.521 206.227 Td /F1 11.2 Tf [( Katsumi Nomizu 1997 The five papers originally appeared in Japanese in the journal Sugaku and would ordinarily appear in the Society's translation of that )] TJ ET
BT 34.016 192.490 Td /F1 11.2 Tf [(journal, but are published separately here to expedite their dissemination. They explore such aspects as representation theory, differential geometry, invariant theory, and complex analysis. No index. Member prices are $47 )] TJ ET
BT 34.016 178.754 Td /F1 11.2 Tf [(for institutions and $35 for individual. Annotation copyrighted by Book News, Inc., Portland, OR.)] TJ ET
BT 36.266 141.192 Td /F1 8.0 Tf [(harmonic-maps-loop-groups-and-integrable-systems-london-mathematical-society-student-texts)] TJ ET
BT 932.396 141.400 Td /F1 8.0 Tf [(Downloaded from )] TJ ET
BT 997.308 141.192 Td /F1 8.0 Tf [(weshare.ie)] TJ ET
BT 1035.988 141.400 Td /F1 8.0 Tf [( on September 30, 2022 by guest)] TJ ET
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