Henry P. McKean Jr. Selecta, F. Alberto Gr?nbaum; Pierre van Moerbeke; Victor H

Автор: Gerhard J?ger; Hans L?uchli; Bruno Scarpellini; Vo
Название: Ernst Specker Selecta
ISBN: 3034899661 ISBN-13(EAN): 9783034899666
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Описание: Ernst Specker has made decisive contributions towards shaping direc- tions in topology, algebra, mathematical logic, combinatorics and algorith- mic over the last 40 years. We can do no better than to quote from Hao Wang in the `Festschrift` Logic and Algorithmic I: Specker was ill for an extended period before completing his formal education.

Автор: Karl Menger; Bert Schweizer; Abe Sklar; Karl Sigmu
Название: Selecta Mathematica II
ISBN: 3211838341 ISBN-13(EAN): 9783211838341
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Описание: Karl Menger was one of the founders of dimension theory. This title contains Menger`s major mathematical papers, based on a personal selection by himself out of his extensive writings. It covers topics such as: topology, geometry, analysis and algebra, as well as economics, sociology, logic, philosophy and mathematical results.

Автор: David Kinderlehrer
Название: Hans Lewy Selecta
ISBN: 1461274060 ISBN-13(EAN): 9781461274063
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Описание: The work of Hans Lewy (1904--1988) has touched nearly every significant area of functional analysis and has had a profound influence in the direction of applied mathematics and partial differential equations from the late 1920s. Famous for his originality and ingenuity, Lewy illustrated and revealed fundamental principles on the theory of partial differential equations, in particular, on elliptic equations and free boundary problems. The papers presented in this two-volume set represent a selection of his best work and are augmented by commentary from his students, colleagues, and family.

Автор: David Kinderlehrer
Название: Hans Lewy Selecta
ISBN: 1461274079 ISBN-13(EAN): 9781461274070
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Описание: The work of Hans Lewy (1904--1988) has had a profound influence in the direction of applied mathematics and partial differential equations, in particular, from the late 1920s. Two of the particulars are well known. The Courant--Friedrichs--Lewy condition (1928), or CFL condition, was devised to obtain existence and approximation results. This condition, relating the time and spatial discretizations for finite difference schemes, is now universally employed in the simulation of solutions of equations describing propagation phenomena. Lewy's example of a linear equation with no solution (1957), with its attendant consequence that most equations have no solution, was not merely an unexpected fact, but changed the viewpoint of the entire field. Lewy made pivotal contributions in many other areas, for example, the regularity theory of elliptic equations and systems, the Monge-- AmpSre Equation, the Minkowski Problem, the asymptotic analysis of boundary value problems, and several complex variables. He was among the first to study variational inequalities. In much of his work, his underlying philosophy was that simple tools of function theory could help one understand the essential concepts embedded in an issue, although at a cost in generality. This approach was extremely successful. In this two-volume work, most all of Lewy's papers are presented, in chronological order. They are preceded by several short essays about Lewy himself, prepared by Helen Lewy, Constance Reid, and David Kinderlehrer, and commentaries on his work by Erhard Heinz, Peter Lax, Jean Leray, Richard MacCamy, Fran?ois Treves, and Louis Nirenberg. Additionally, there are Lewy's own remarks on the occasion of his honorary degree from the University of Bonn.

Автор: Max-Albert Knus; Beno Eckmann; Guido Mislin; Urs S
Название: Selecta
ISBN: 3642371825 ISBN-13(EAN): 9783642371820
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Описание: Zur Homotopietheorie gefaserter Rдume.- Ьber die Homotopiegruppen von Gruppenrдumen.- Systeme von Richtungsfeldern in Sphдren und stetige Lцsungen komplexer linearer Gleichungen.- L'idйe de dimension.- Stetige Lцsungen linearer Gleichungssysteme.- Gruppentheoretischer Beweis des Satzes von Hurwitz-Radon ьber die Komposition quadratischer Formen.- Topologie und Algebra.- Ьber monothetische Gruppen.- Harmonische Funktionen und Randwertaufgaben in einem Komplex.- Der Cohomologie-Ring einer beliebigen Gruppe.- Coverings and Betti numbers.- Formes diffйrentielles et mйtrique hermitienne sans torsion. I. Structure complexe, formes pures.- Formes diffйrentielles et mйtrique hermitienne sans torsion. II. Formes de classe k; formes analytiques.- Sur les variйtйs closes а mйtrique hermitienne sans torsion.- Quelques propriйtйs globales des variйtйs kдhlйriennes.- Espaces fibrйs et homotopie.- Sur l'intйgrabilitй des structures presque complexes.- Complex-analytic manifolds.- On complexes with operators.- Ьber injektive Moduln.- Cohomology of groups and transfer.- A class of compact, complex manifolds which are not algebraic.- Structures complexes et transformations infinitйsimales.- Rдume mit Mittelbildungen.- Zur Cohomologietheorie von Rдumen und Gruppen.- Homotopie et dualitй.- Groupes d'homotopie et dualitй. Groupes absolus.- Groupes d'homotopie et dualitй. Suites exactes.- Groupes d'homotopie et dualitй. Coefficients.- Transgression homotopique et cohomologique.- Dйcomposition homologique d'un polyиdre simplement connexe.- On the homology and homotopy decomposition of continuous maps.- Groupes d'homotopie et dualitй.- Structure maps in group theory.- Group-like structures in general categories I. Multiplications and comultiplications.- Homotopie und Homologie.- Generalized means.- Homotopy and cohomology theory.- Unions and intersections in homotopy theory.- Composition functors and spectral sequences.- Commuting limits with colimits.- Continuous solutions of linear equations - some exceptional dimensions in topology.- Le groupe des types simples d'homotopie sur un polyиdre.- Simple homotopy type and categories of fractions.- On central group extensions and homology.- On the homology theory of central group extensions: I - The commutator map and stem extensions.- On the Schur multiplicator of a central quotient of a direct product of groups.- Groups with homological duality generalizing Poincarй duality.- Finiteness properties of duality groups.- Aspherical manifolds and higher-dimensional knots.- Cobordism for Poincarй duality groups.- Rational representations of finite groups and their Euler class.- Two-dimensional Poincarй duality groups and pairs.- On the Euler class of representations of finite groups over real fields.- Some recent developments in the homology theory of groups (Groups of finite and virtually finite dimension).- Poincarй duality groups of dimension two.- Chern classes of group representations over a number field.- Plane motion groups and virtual Poincarй duality of dimension two.- Poincarй duality groups of dimension two, II.- Profinite Chern classes for group representations.- The p-periodicity of the groups GL (n, Os(K)) and SL(n, Os(K)).- Galois action on algebraic matrix groups, Chern classes and the Euler class.- Poincarй duality groups of dimension two are surface groups.- Cyclic homology of groups and the Bass conjecture.- Notes.- I. Homotopy groups and fiber spaces.- II. Continuous solutions of linear equations.- III. Cohomology of groups.- IV. Homological algebra, transfer.- V. Duality in homotopy theory.- VI. Duality groups, Poincarй duality.- Bibliography of the publications of B. Eckmann.- List of Ph.D. Theses written under the supervision of B. Eckmann.

Автор: Gesztesy
Название: Nigel J. Kalton Selecta
ISBN: 3319187953 ISBN-13(EAN): 9783319187952
Издательство: Springer
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Описание: This book is the first part of a two volume anthology comprising a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton’s research. Each article is accompanied by comments from an expert on the respective topic, which serves to situate the article in its proper context, to successfully link past, present and hopefully future developments of the theory, and to help readers grasp the extent of Kalton’s accomplishments. Kalton’s work represents a bridge to the mathematics of tomorrow, and this book will help readers to cross it.Nigel Kalton (1946-2010) was an extraordinary mathematician who made major contributions to an amazingly diverse range of fields over the course of his career.

Автор: Gesztesy
Название: Nigel J. Kalton Selecta
ISBN: 3319187988 ISBN-13(EAN): 9783319187983
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Описание: This is the second part of a two volume anthology comprising a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton’s research. Each article is accompanied by comments from an expert on the respective topic, which serves to situate the article in its proper context, to successfully link past, present and hopefully future developments of the theory and to help readers grasp the extent of Kalton’s accomplishments. Kalton’s work represents a bridge to the mathematics of tomorrow, and this book will help readers to cross it.Nigel Kalton (1946-2010) was an extraordinary mathematician who made major contributions to an amazingly diverse range of fields over the course of his career.

Автор: Karl Menger; Bert Schweizer; Abe Sklar; Karl Sigmu
Название: Selecta Mathematica I
ISBN: 3709148626 ISBN-13(EAN): 9783709148624
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Описание: Karl Menger, one of the founders of dimension theory, is among the most original mathematicians and thinkers of the twentieth century.

Автор: Karl Menger; Bert Schweizer; Abe Sklar; Karl Sigmu
Название: Selecta Mathematica II
ISBN: 3709148634 ISBN-13(EAN): 9783709148631
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Описание: Karl Menger, one of the founders of dimension theory, is among the most original mathematicians and thinkers of the twentieth century.

Автор: Edmund Hlawka; Peter M. Gruber; Wolfgang M. Schmid
Название: Selecta
ISBN: 3642346227 ISBN-13(EAN): 9783642346224
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Описание: Notes on the papers on geometry of numbers and on Diophantine approximations.- Ьber die Approximation von zwei komplexen inhomogenen Linearformen [3]*.- Ьber die Approximation von inhomogenen Linearformen [4].- Ьber komplexe homogene Linearformen [5].- Eine Ungleichung fьr Vektorlдngen [6].- Zur Geometrie der Zahlen [7].- Ausfьllung und Ьberdeckung konvexer Kцrper durch konvexe Kцrper [16].- Ьber Gitterpunkte in Parallelepipeden [18].- Ьber Integrale auf konvexen Kцrpern I [19].- Ьber eine Klasse von mehrfachen Integralen [26].- Das inhomogene Problem in der Geometrie der Zahlen [30].- Ьber einen Satz von van der Corput [31].- Zur formalen Theorie der Gleichverteilung in kompakten Gruppen [32].- Folgen auf kompakten Rдumen [33].- Zur Ьberdeckung der Ebene durch konvexe Scheiben [34].- Zum Hauptsatz der Theorie der Gleichverteilung [36].- Erbliche Eigenschaften in der Theorie der Gleichverteilung [40].- Funktionen von beschrдnkter Variation in der Theorie der Gleichverteilung [43].- Zur angenдherten Berechnung mehrfacher Integrale [45].- Rhythmische Folgen auf kompakten Gruppen I [46].- Zur Geometrie der Zahlen [49].- Discrepancy and uniform distribution of sequences [52].- Uniform distribution modulo 1 and numerical analysis [53].- Interpolation analytischer Funktionen auf dem Einheitskreis [60].- Ein metrischer Satz in der Theorie der C-Gleichverteilung [67].- Discrepancy and Riemann Integration [69].- Ьber eine Methode von E. Hecke in der Theorie der Gleichverteilung [74].- Mathematische Modelle der kinetischen Gastheorie [75].- Anwendung zahlentheoretischer Methoden auf Probleme der numerischen Mathematik I [80].- Ьber die Gleichverteilung gewisser Folgen, welche mit den Nullstellen der Zetafunktion zusammenhдngen [83].- 90 Jahre Geometrie der Zahlen [92].- Approximation von Irrationalzahlen und pythagorдische Tripel [94].- Gleichverteilung auf Produkten von Sphдren [102].- Eine Bemerkung zur Theorie der Gleichverteilung [109].- Carl Ludwig Siegel (31. 12. 1896-4.4. 1981) [117].- List of publications.- Acknowledgements.

Автор: P.R. Halmos; D.E. Sarason; N.A. Friedman
Название: Selecta I - Research Contributions
ISBN: 1493910981 ISBN-13(EAN): 9781493910984
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Описание: This volume contains two introductory essays, one by Nathaniel Friedman on Halmos`s work in ergodic theory, one by Donald Sarason on Halmos`s work in operator theory.

Автор: P.R. Halmos; D.E. Sarason; L. Gillman
Название: Selecta II - Expository Writings
ISBN: 1493910949 ISBN-13(EAN): 9781493910946
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Описание: A selection of the mathematical writings of Paul R. Halmos (1916 - 2006) is presented in two Volumes. Volume I consists of research publications plus two papers of a more expository nature on Hilbert Space. The remaining expository articles and all the popular writings appear in this second volume.