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Classical Geometries in Modern Contexts by Walter Benz
Publication Date: 2007-12-01
Price : $129
This book is based on real inner product spaces X of arbitrary (finite or infinite) dimension greater than or equal to 2. With natural properties of (general) translations and general distances of X, euclidean and hyperbolic geometries are characterized. For these spaces X also the sphere geometries of M'bius and Lie are studied (besides euclidean and hyperbolic geometry), as well as geometries where Lorentz transformations play the key role. The geometrical notions of this book are based on general spaces X as described. This implies that also mathematicians who have not so far been especially interested in geometry may study and understand great ideas of classical geometries in modern and general contexts. Proofs of newer theorems, characterizing isometries and Lorentz transformations under mild hypotheses are included, like for instance infinite dimensional versions of famous theorems of A.D. Alexandrov on Lorentz transformations. A real benefit is the dimension-free approach to important geometrical theories. Only prerequisites are basic linear algebra and basic 2- and 3-dimensional real geometry.
Free Boundary Problems by Pierluigi Colli (Editor); Claudio Verdi (Editor); Augusto Visintin (Editor)
Publication Date: 2003-11-27
Price : EUR119.99
Many phenomena of interest for applications are represented by differential equations which are defined in a domain whose boundary is a priori unknown, and is accordingly named a "free boundary". A further quantitative condition is then provided in order to exclude indeterminacy. Free boundary problems thus encompass a broad spectrum which is represented in this state-of-the-art volume by a variety of contributions of researchers in mathematics and applied fields like physics, biology and material sciences. Special emphasis has been reserved for mathematical modelling and for the formulation of new problems.
Handbook of Normal Frames and Coordinates by Bozhidar Z. Iliev
Publication Date: 2006-09-15
Price : EUR99.95
This book provides the first comprehensive and complete overview on results and methods concerning normal frames and coordinates in differential geometry. Practically all existing essential results and methods concerning normal frames and coordinates can be found in the book. Most of the results are presented in detail with full, and in some cases new, proofs. A large number of examples and exercises illustrate the material.
Infinite Dimensional Algebras and Quantum Integrable Systems by Petr P. Kulish (Editor); Nenad Manojlovic (Editor); Henning Samtleben (Editor)
Publication Date: 2005-04-20
Price : EUR114.99
This volume presents the invited lectures of the workshop "Infinite Dimensional Algebras and Quantum Integrable Systems" held in July 2003 at the University of Algarve, Faro, Portugal, as a satellite workshop of the XIV International Congress on Mathematical Physics. In it, recent developments in the theory of infinite dimensional algebras, and their applications to quantum integrable systems, are reviewed by leading experts in the field.
Quadrature Domains and Their Applications by Peter Ebenfelt (Editor); Björn Gustafsson (Editor); Dmitry Khavinson (Editor); Mihai Putinar (Editor)
Publication Date: 2005-01-27
Price : EUR139.99
Quadrature domains were singled out about 30 years ago by D. Aharonov and H.S. Shapiro in connection with an extremal problem in function theory. Since then, a series of coincidental discoveries put this class of planar domains at the center of crossroads of several quite independent mathematical theories, e.g., potential theory, Riemann surfaces, inverse problems, holomorphic partial differential equations, fluid mechanics, operator theory. The volume is devoted to recent advances in the theory of quadrature domains, illustrating well the multi-facet aspects of their nature. The book contains a large collection of open problems pertaining to the general theme of quadrature domains.
Recent Advances in Operator Theory, Operator Algebras, and Their Applications by Dumitru Gaspar (Editor); Israel Gohberg (Editor); Dan Timotin (Editor); F. H. Vasilescu (Editor); L. Zsido (Editor)
Publication Date: 2004-11-22
Price : EUR149.99
This book offers peer-reviewed articles from the 19th International Conference on Operator Theory, Summer 2002. It contains recent developments in a broad range of topics from operator theory, operator algebras and their applications, particularly to differential analysis, complex functions, ergodic theory, mathematical physics, matrix analysis, and systems theory. The book covers a large variety of topics including single operator theory, C*-algebras, diffrential operators, integral transforms, stochastic processes and operators, and more.
Recent Trends in Toeplitz and Pseudodifferential Operators by Roland V. Duduchava (Editor); Israel Gohberg (Editor); Vladimir Rabinovich (Editor); Sergei M. Grudsky (Editor)
Publication Date: 2010-06-22
Price : EUR139.99
The aim of the book is to present new results in operator theory and its applications. In particular, the book is devoted to operators with automorphic symbols, applications of the methods of modern operator theory and differential geometry to some problems of theory of elasticity, quantum mechanics, hyperbolic systems of partial differential equations with multiple characteristics, Laplace-Beltrami operators on manifolds with singular points. Moreover, the book comprises new results in the theory of Wiener-Hopf operators with oscillating symbols, large hermitian Toeplitz band matrices, commutative algebras of Toeplitz operators, and discusses a number of other topics.
Spectral Methods for Operators of Mathematical Physics by J. Janas (Editor); P. Kurasov (Editor); S. Naboko (Editor)
Publication Date: 2004-10-25
Price : EUR159.99
This book presents recent results in the following areas: spectral analysis of one-dimensional Schrödinger and Jacobi operators, discrete WKB analysis of solutions of second order difference equations, and applications of functional models of non-selfadjoint operators. Several developments treated appear for the first time in a book. It is addressed to a wide group of specialists working in operator theory or mathematical physics.
Spectral Theory of Linear Operators by Vladimir Muller
Publication Date: 2007-09-17
Price : EUR139.99
This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants. Many results appear here for the first time in a monograph.
Studies in Lie Theory by Joseph Bernstein (Editor); Vladimir Hinich (Editor); Anna Melnikov (Editor)
Publication Date: 2006-01-26
Price : EUR149.99
Contains new results on different aspects of Lie theory, including Lie superalgebras, quantum groups, crystal bases, representations of reductive groups in finite characteristic, and the geometric Langlands program
The State Space Method by Daniel Alpay (Editor); Israel Gohberg (Editor)
Publication Date: 2005-11-17
Price : EUR139.99
Thisvolumeofthe Operator Theory: Advances and Applications series (OTAA) isthe ?rst volume of a new subseries. This subseries is dedicated to connections between the theory of linear operators and the mathematical theory of linear systems and is named Linear Operators and Linear Systems (LOLS).Asthe- isting subseries Advances in Partial Di?erential Equations (ADPE), the new s- series will continue the traditions of the OTAA series and keep the high quality of the volumes. The editors of the new subseries are: Daniel Alpay (Beer-Sheva, - rael), Joseph Ball (Blacksburg, Virginia, USA) and Andr´ ´ e Ran (Amsterdam, The Netherlands). In the last 25-30 years, Mathematical System Theory developed in an ess- tial way. A large part of this development was connected with the use of the state space method. Let us mention for instance the "theory of H control". The state ? space method allowed to introduce in system theory the modern tools of matrix and operator theory. On the other hand the state space approach had an imp- tant impact on Algebra, Analysis and Operator Theory. In particular it allowed to solve explicitly some problems from interpolation theory, theory of convolution equations, inverse problems for canonical di?erential equations and their discrete analogs. All these directions are planned to be present in the subseries LOLS. The editors and the publisher are inviting authors to submit their manuscripts for publication in this subseries.