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    • Combinatorics 79. Part I

      • 1st Edition
      • Volume 8
      • August 26, 2011
      • English
      • Hardback
        9 7 8 0 4 4 4 8 6 1 1 0 8
      • eBook
        9 7 8 0 0 8 0 8 6 7 7 1 7

    • Progress in Low Temperature Physics

      • 1st Edition
      • Volume 11
      • August 22, 2011
      • English
      • eBook
        9 7 8 0 0 8 0 8 7 3 0 6 0
      The present volume is largely concerned with helium, as the variety of physics encompassed in the thermal, magnetic and hydrodynamic properties of liquid and solid helium is considerable - it is in many ways a model condensed system.

    • Foundations of the Numerical Analysis of Plasticity

      • 1st Edition
      • Volume 107
      • August 18, 2011
      • T. Miyoshi
      • English
      • Paperback
        9 7 8 0 4 4 4 8 7 6 7 1 3
      • eBook
        9 7 8 0 0 8 0 8 7 2 1 8 6
      This monograph describes a theoretical foundation for analysing and developing approximate methods to solve dynamic and quasi-static plasticity problems.

    • Spectra and the Steenrod Algebra

      • 1st Edition
      • August 18, 2011
      • H.R. Margolis
      • English
      • Hardback
        9 7 8 0 4 4 4 8 6 5 1 6 8
      • eBook
        9 7 8 0 0 8 0 9 6 0 1 7 3
      I have intended this book to be more than just the sum of its chapters, and the introduction is, in part, an attempt to spell out what the more is. Algebraic topology is the study of topological problems by algebraic means. More precisely, this has come to be framed as the study of topological categories by means of functors to algebraic categories. Beyond the basic definitions and structure, the focus is often on particular problems, for example, Adams’ use of K-theory to solve the vector fields on spheres problem. On the other hand, there are contributions of a more global nature yielding insight into the overall structure of some topological category, for example, Quillen’s work on rational homotopy type. This book is intended primarily as a contribution of this latter sort. So while there will be a variety of particular examples and computations, and although the structure being developed has significant application to many specific problems (some of which are considered here), the major thrust of the text is toward understanding the global structure and linkage of the topological and algebraic categories considered: the stable homotopy category and the category of modules over the Steenrod algebra.

    • Graded Ring Theory

      • 1st Edition
      • August 18, 2011
      • C. Nastasescu + 1 more
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 7 5 7 5
      • eBook
        9 7 8 0 0 8 0 9 6 0 1 6 6
      This book is aimed to be a ‘technical’ book on graded rings. By ‘technical’ we mean that the book should supply a kit of tools of quite general applicability, enabling the reader to build up his own further study of non-commutative rings graded by an arbitrary group. The body of the book, Chapter A, contains: categorical properties of graded modules, localization of graded rings and modules, Jacobson radicals of graded rings, the structure thedry for simple objects in the graded sense, chain conditions, Krull dimension of graded modules, homogenization, homological dimension, primary decomposition, and more. One of the advantages of the generality of Chapter A is that it allows direct applications of these results to the theory of group rings, twisted and skew group rings and crossed products. With this in mind we have taken care to point out on several occasions how certain techniques may be specified to the case of strongly graded rings. We tried to write Chapter A in such a way that it becomes suitable for an advanced course in ring theory or general algebra, we strove to make it as selfcontained as possible and we included several problems and exercises. Other chapters may be viewed as an attempt to show how the general techniques of Chapter A can be applied in some particular cases, e.g. the case where the gradation is of type Z. In compiling the material for Chapters B and C we have been guided by our own research interests. Chapter 6 deals with commutative graded rings of type 2 and we focus on two main topics: artihmeticallygraded domains, and secondly, local conditions for Noetherian rings. In Chapter C we derive some structural results relating to the graded properties of the rings considered. The following classes of graded rings receive special attention: fully bounded Noetherian rings, birational extensions of commutative rings, rings satisfying polynomial identities, and Von Neumann regular rings. Here the basic idea is to derive results of ungraded nature from graded information. Some of these sections lead naturally to the study of sheaves over the projective spectrum Proj(R) of a positively graded ring, but we did not go into these topics here. We refer to [125] for a noncommutative treatment of projective geometry, i.e. the geometry of graded P.I. algebras.

    • Approximation Problems in Analysis and Probability

      • 1st Edition
      • Volume 159
      • August 18, 2011
      • M.P. Heble
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 8 2 8 2
      • eBook
        9 7 8 0 0 8 0 8 7 2 7 0 4
      This is an exposition of some special results on analytic or C∞-approximation of functions in the strong sense, in finite- and infinite-dimensional spaces. It starts with H. Whitney's theorem on strong approximation by analytic functions in finite-dimensional spaces and ends with some recent results by the author on strong C∞-approximation of functions defined in a separable Hilbert space. The volume also contains some special results on approximation of stochastic processes. The results explained in the book have been obtained over a span of nearly five decades.

    • Saks Spaces and Applications to Functional Analysis

      • 2nd Edition
      • Volume 139
      • August 18, 2011
      • J.B. Cooper
      • English
      • Paperback
        9 7 8 0 4 4 4 5 5 6 9 4 3
      • eBook
        9 7 8 0 0 8 0 8 7 2 5 0 6
      The first edition of this monograph appeared in 1978. In view of the progress made in the intervening years, the original text has been revised, several new sections have been added and the list of references has been updated. The book presents a systematic treatment of the theory of Saks Spaces, i.e. vector space with a norm and related, subsidiary locally convex topology. Applications are given to space of bounded, continuous functions, to measure theory, vector measures, spaces of bounded measurable functions, spaces of bounded analytic functions, and to W*-algebras.

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