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:. HC/Mathematik/Analysis

Greene, Robert E.; Kim, Kang-Tae; Krantz, Steven G.
The Geometry of Complex Domains
Reihe: Progress in Mathematics
Springer Basel AG, Juni 2011
303 S. - Sprache: Englisch - 14 schwarz-weiße Abbildungen - 245x165x25 mm

ISBN: 0817641394
EAN: 9780817641399

This work examines a rich tapestry of themes and concepts and provides a comprehensive treatment of an important area of mathematics, while simultaneously covering a broader area of the geometry of domains in complex space. At once authoritative and accessible, this text touches upon many important parts of modern mathematics: complex geometry, equivalent embeddings, Bergman and Kahler geometry, curvatures, differential invariants, boundary asymptotics of geometries, group actions, and moduli spaces.The Geometry of Complex Domains can serve as a "coming of age" book for a graduate student who has completed at least one semester or more of complex analysis, and will be most welcomed by analysts and geometers engaged in current research.

Preis: 139,09 EUR
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Klartag, Bo'az (Herausgeber); Milman, Emanuel (Herausgeber)
Geometric Aspects of Functional Analysis Israel Seminar (GAFA) 2014-2016
Reihe: Lecture Notes in Mathematics 2169
Springer-Verlag GmbH, Springer International Publishing, April 2017
366 S. - Sprache: Englisch - 5 schwarz-weiße und 5 farbige Abbildungen, Bibliographie - 239x159x23 mm Book

ISBN: 3319452819
EAN: 9783319452814

As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. A classical theme in the Local Theory of Banach Spaces which is well represented in this volume is the identification of lower-dimensional structures in high-dimensional objects. More recent applications of high-dimensionality are manifested by contributions in Random Matrix Theory, Concentration of Measure and Empirical Processes. Naturally, the Gaussian measure plays a central role in many of these topics, and is also studied in this volume; in particular, the recent breakthrough proof of the Gaussian Correlation Conjecture is revisited. The interplay of the theory with Harmonic and Spectral Analysis is also well apparent in several contributions. The classical relation to both the primal and dual Brunn-Minkowski theories is also well represented, and related algebraic structures pertaining to valuations and valent functions are discussed. All contributions are original research papers and were subject to the usual refereeing standards.

Preis: 69,54 EUR
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Ibragimov, Nail H.; Kovalev, Vladimir F.
Approximate and Renormgroup Symmetries
Reihe: Nonlinear Physical Science
Springer-Verlag GmbH, Springer Berlin, Juni 2009
160 S. - Sprache: Englisch - 7 schwarz-weiße Abbildungen - 243x164x18 mm Book

ISBN: 3642002277
EAN: 9783642002274

"Approximate and Renormgroup Symmetries" deals with approximate transformation groups, symmetries of integro-differential equations and renormgroup symmetries. It includes a concise and self-contained introduction to basic concepts and methods of Lie group analysis, and provides an easy-to-follow introduction to the theory of approximate transformation groups and symmetries of integro-differential equations. The book is designed for specialists in nonlinear physics - mathematicians and non-mathematicians - interested in methods of applied group analysis for investigating nonlinear problems in physical science and engineering. Dr. N.H. Ibragimov is a professor at the Department of Mathematics and Science, Research Centre ALGA, Sweden. He is widely regarded as one of the world's foremost experts in the field of symmetry analysis of differential equations; Dr. V. F. Kovalev is a leading scientist at the Institute for Mathematical Modeling, Russian Academy of Science, Moscow.

Preis: 119,99 EUR
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Renardy, Michael; Rogers, Robert C.
An Introduction to Partial Differential Equations
Reihe: Texts in Applied Mathematics 13
Springer-Verlag GmbH, Springer US, New York, N.Y., Januar 2004
2. A - 434 S. - Sprache: Englisch - 21 Abb. - 243x167x30 mm

ISBN: 0387004440
EAN: 9780387004440

Partial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians and has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. This book, meant for a beginning graduate audience, provides a thorough introduction to partial differential equations.

Preis: 80,24 EUR
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Bujalance, Emilio; Cirre, Francisco Javier; Gamboa, José Manuel; Gromadzki, Grzegorz
Symmetries of Compact Riemann Surfaces
Reihe: Lecture Notes in Mathematics 2007
Springer-Verlag GmbH, Springer Berlin, Oktober 2010
158 S. - Sprache: Englisch - 2 schwarz-weiße Tabellen - 233x157x15 mm

ISBN: 3642148271
EAN: 9783642148279

The content of this monograph is situated in the intersection of important branches of mathematics like the theory of one complex variable, algebraic geometry, low dimensional topology and, from the point of view of the techniques used, com- natorial group theory. The main tool comes from the Uniformization Theorem for Riemannsurfaces,whichrelatesthetopologyofRiemannsurfacesandholomorphic or antiholomorphic actions on them to the algebra of classical cocompact Fuchsian groups or, more generally, non-euclidean crystallographic groups. Foundations of this relationship were established by A. M. Macbeath in the early sixties and dev- oped later by, among others, D. Singerman. Another important result in Riemann surface theory is the connection between Riemannsurfacesandtheir symmetrieswith complexalgebraiccurvesandtheirreal forms. Namely, there is a well known functorial bijective correspondence between compact Riemann surfaces and smooth, irreducible complex projective curves. The fact that a Riemann surface has a symmetry means, under this equivalence, that the corresponding complex algebraic curve has a real form, that is, it is the complex- cation of a real algebraic curve. Moreover, symmetries which are non-conjugate in the full group of automorphisms of the Riemann surface, correspond to real forms which are birationally non-isomorphic over the reals. Furthermore, the set of points xedbyasymmetryishomeomorphictoaprojectivesmoothmodeloftherealform.

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Lewis, Robert M.
Measure-Theoretic Foundations of Statistical Mechanics (Classic Reprint)
Forgotten Books, September 2016
62 S. - Sprache: Englisch - 228x154x7 mm 23:B&W 6 x 9 in or 229 x 152 mm Perfect Bound on White w/Gloss Lam

ISBN: 133348674X
EAN: 9781333486747

Preis: 11,96 EUR
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Alikakos, Nicholas D.; Fusco, Giorgio; Smyrnelis, Panayiotis
Elliptic Systems of Phase Transition Type
Reihe: Progress in Nonlinear Differential Equations and Their Applications 91
Springer-Verlag GmbH, Springer International Publishing AG, Januar 2019
343 S. - Sprache: Englisch - Bibliographie - 241x159x27 mm Book

ISBN: 3319905716
EAN: 9783319905716

This book focuses on the vector Allen-Cahn equation, which models coexistence of three or more phases and is related to Plateau complexes - non-orientable objects with a stratified structure. The minimal solutions of the vector equation exhibit an analogous structure not present in the scalar Allen-Cahn equation, which models coexistence of two phases and is related to minimal surfaces. The 1978 De Giorgi conjecture for the scalar problem was settled in a series of papers: Ghoussoub and Gui (2d), Ambrosio and Cabr? (3d), Savin (up to 8d), and del Pino, Kowalczyk and Wei (counterexample for 9d and above). This book extends, in various ways, the Caffarelli-C?rdoba density estimates that played a major role in Savin's proof. It also introduces an alternative method for obtaining pointwise estimates. Key features and topics of this self-contained, systematic exposition include: . Resolution of the structure of minimal solutions in the equivariant class, (a) for general point groups, and (b) for general discrete reflection groups, thus establishing the existence of previously unknown lattice solutions. . Preliminary material beginning with the stress-energy tensor, via which monotonicity formulas, and Hamiltonian and Pohozaev identities are developed, including a self-contained exposition of the existence of standing and traveling waves. . Tools that allow the derivation of general properties of minimizers, without any assumptions of symmetry, such as a maximum principle or density and pointwise estimates. . Application of the general tools to equivariant solutions rendering exponential estimates, rigidity theorems and stratification results. This monograph is addressed to readers, beginning from the graduate level, with an interest in any of the following: differential equations - ordinary or partial; nonlinear analysis; the calculus of variations; the relationship of minimal surfaces to diffuse interfaces; or the applied mathematics of materials science.

Preis: 106,99 EUR
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Alpay, Daniel (Herausgeber)
Reproducing Kernel Spaces and Applications Operator Theory Advances and Applications Vol.143
Reihe: Operator Theory: Advances and Applications 143
Springer Basel AG, Springer Basel, August 2003
2003. 2003 - 344 S. - Sprache: Englisch - Bibliographie - 261x182x27 mm Book

ISBN: 376430068X
EAN: 9783764300685

The notions of positive functions and of reproducing kernel Hilbert spaces play an important role in various fields of mathematics, such as stochastic processes, linear systems theory, operator theory, and the theory of analytic functions. Also they are relevant for many applications, for example to statistical learning theory and pattern recognition. The present volume contains a selection of papers which deal with different aspects of reproducing kernel Hilbert spaces. Topics considered include one complex variable theory, differential operators, the theory of self-similar systems, several complex variables, and the non-commutative case. The book is of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.

Preis: 149,79 EUR
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Méray, Charles
Sur la Divisibilité des Polynomes Entiers A Plusieurs Variables (Classic Reprint)
Forgotten Books, März 2017
50 S. - Sprache: Französisch - 233x156x10 mm 23:B&W 6 x 9 in or 229 x 152 mm Perfect Bound on White w/Gloss Lam

ISBN: 024389774X
EAN: 9780243897742

Preis: 11,74 EUR
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Bichteler, Klaus
Integration - A Functional Approach
Reihe: Modern Birkhäuser Classics
Springer Basel AG, Dezember 2010
193 S. - Sprache: Englisch - 237x156x17 mm Book

ISBN: 3034800541
EAN: 9783034800549

This book covers Lebesgue integration and its generalizations from Daniell's point of view, modified by the use of seminorms. Integrating functions rather than measuring sets is posited as the main purpose of measure theory. From this point of view Lebesgue's integral can be had as a rather straightforward, even simplistic, extension of Riemann's integral; and its aims, definitions, and procedures can be motivated at an elementary level. The notion of measurability, for example, is suggested by Littlewood's observations rather than being conveyed authoritatively through definitions of (sigma)-algebras and good-cut-conditions, the latter of which are hard to justify and thus appear mysterious, even nettlesome, to the beginner. The approach taken provides the additional benefit of cutting the labor in half. The use of seminorms, ubiquitous in modern analysis, speeds things up even further. The book is intended for the reader who has some experience with proofs, a beginning graduate student for example. It might even be useful to the advanced mathematician who is confronted with situations - such as stochastic integration - where the set-measuring approach to integration does not work.

Preis: 48,14 EUR
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