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Professor Atiyah is one of the greatest living mathematicians and is renowned in the mathematical world. He is a recipient of the Fields Medal, the mathematical equivalent of the Nobel Prize, and is still actively involved in the mathematics community. His huge number...
Editeur :
OUP Oxford
Parution :
2014-04-17
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This book provides an introduction to symplectic field theory, a new and important subject which is currently being developed. The starting point of this theory are compactness results for holomorphic curves established in the last decade. The author presents a...
Editeur :
Springer
Parution :
2014-01-07
ePub
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This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It pays particular attention to the historical development of the theory and the preliminary approaches that...
Editeur :
Springer
Parution :
2013-11-09
ePub
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The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry. Moreover, CMC surfaces are important mathematical models for the physics of interfaces in the absence of gravity, where they separate two different...
Editeur :
Springer
Parution :
2013-08-31
ePub
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The book demonstrates the development of integral geometry on domains of homogeneous spaces since 1990. It covers a wide range of topics, including analysis on multidimensional Euclidean domains and Riemannian symmetric spaces of arbitrary ranks as well as recent work...
Editeur :
Birkhäuser
Parution :
2013-01-30
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The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings. More recently, once basic issues about PDE's, such as existence, uniqueness and stability of solutions, have been understood quite well, research on topological...
Editeur :
Springer
Parution :
2012-11-27
ePub
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Traditionally, Lorentzian geometry has been used as a necessary tool to understand general relativity, as well as to explore new genuine geometric behaviors, far from classical Riemannian techniques. Recent progress has attracted a renewed interest in this theory for...
Editeur :
Springer
Parution :
2012-11-06
ePub
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Bundles, connections, metrics and curvature are the 'lingua franca' of modern differential geometry and theoretical physics. This book will supply a graduate student in mathematics or theoretical physics with the fundamentals of these objects.
Many of the tools used...
Editeur :
OUP Oxford
Parution :
2011-10-14
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This classic work is now available in an unabridged paperback edition. Stoker makes this fertile branch of mathematics accessible to the nonspecialist by the use of three different notations: vector algebra and calculus, tensor calculus, and the notation devised by...
Editeur :
Wiley-Interscience
Parution :
2011-09-09
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Riemannian Topology and Geometric Structures on Manifolds results from a similarly entitled conference held at the University of New Mexico in Albuquerque. The various contributions to this volume discuss recent advances in the areas of positive sectional curvature,...
Editeur :
Birkhäuser
Parution :
2010-07-25
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Classical mechanics, one of the oldest branches of science, has undergone a long evolution, developing hand in hand with many areas of mathematics, including calculus, differential geometry, and the theory of Lie groups and Lie algebras. The modern formulations of...
Editeur :
OUP Oxford
Parution :
2009-07-30
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Integral transforms, such as the Laplace and Fourier transforms, have been major tools in mathematics for at least two centuries. In the last three decades the development of a number of novel ideas in algebraic geometry, category theory, gauge theory, and string theory...
Editeur :
Birkhäuser
Parution :
2009-06-12
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This volume uses a unified approach to representation theory and automorphic forms. It collects papers, written by leading mathematicians, that track recent progress in the expanding fields of representation theory and automorphic forms and their association with number...
Editeur :
Birkhäuser
Parution :
2007-10-10
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This volume contains research and survey articles by well known and respected mathematicians describing recent developments and research trends in differential geometry and topology that have been collected and dedicated in honor of Lieven Vanhecke, as a tribute to...
Editeur :
Birkhäuser
Parution :
2007-07-28
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One of the world’s foremost geometers, Alan Weinstein has made deep contributions to symplectic and differential geometry, Lie theory, mechanics, and related fields. Contributors to this text in Weinstein’s honor cover a broad range of topics: Induction and reduction...
Editeur :
Birkhäuser
Parution :
2007-07-03
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Hideki Omori is widely recognized as one of the world’s most creative and original mathematicians. This volume is dedicated toHideki Omori on the occasion of his retirement from Tokyo University of Science. His retirement was also celebrated in April 2004 with an...
Editeur :
Birkhäuser
Parution :
2007-04-22
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The main subject of this book is an up-to-date and in-depth survey of the theory of normal frames and coordinates in di?erential geometry.The existing results, as well as new ones obtained lately by the author, on the theme are presented.The text is so organized that it...
Editeur :
Birkhäuser
Parution :
2006-11-10
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Editeur :
Springer
Parution :
2006-07-09
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"From nothing I have created a new different world," wrote János Bolyai to his father, Wolgang Bolyai, on November 3, 1823, to let him know his discovery of non-Euclidean geometry, as we call it today. The results of Bolyai and the co-discoverer, the Russian...
Editeur :
Springer
Parution :
2006-06-03
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This volume contains revised papers that were presented at the international workshop entitled Computational Methods for Algebraic Spline Surfaces (“COMPASS”), which was held from September 29 to October 3, 2003, at Schloß Weinberg, Kefermarkt (A- tria). The workshop...
Editeur :
Springer
Parution :
2006-05-24
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