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Item Details
Title: SELECTED PAPERS ON ALGEBRA AND TOPOLOGY BY GARRETT BIRKHOFF
By: J.S. Oliveira (Editor), G.-C. Rota (Editor)
Format: Hardback

List price: £279.99


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ISBN 10: 0817631143
ISBN 13: 9780817631147
Publisher: BIRKHAUSER BOSTON INC
Pub. date: 1 January, 1987
Edition: 1987 ed.
Series: Contemporary Mathematicians
Pages: 610
Synopsis: The present volume of reprints are what I consider to be my most interesting and influential papers on algebra and topology. To tie them together, and to place them in context, I have supplemented them by a series of brief essays sketching their historieal background (as I see it). In addition to these I have listed some subsequent papers by others which have further developed some of my key ideas. The papers on universal algebra, lattice theory, and general topology collected in the present volume concern ideas which have become familiar to all working mathematicians. It may be helpful to make them readily accessible in one volume. I have tried in the introduction to each part to state the most significant features of ea ch paper reprinted there, and to indieate later developments. The background that shaped and stimulated my early work on universal algebra, lattice theory, and topology may be of some interest. As a Harvard undergraduate in 1928-32, I was encouraged to do independent reading and to write an original thesis.My tutorial reading included de la Vallee-Poussin's beautiful Cours d'Analyse Infinitesimale, Hausdorff's Grundzuge der Mengenlehre, and Frechet's Espaces Abstraits. In addition, I discovered Caratheodory's 1912 paper "Vber das lineare Mass von Punktmengen" and Hausdorff's 1919 paper on "Dimension und Ausseres Mass," and derived much inspiration from them. A fragment of my thesis, analyzing axiom systems for separable metrizable spaces, was later published [2]. * This background led to the work summarized in Part IV.
Illustrations: XVIII, 610 p.
Publication: US
Imprint: Birkhauser Boston Inc
Returns: Returnable
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COMBINATORIAL GEOMETRIES (HB)
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COMPUTATION WITH FINITELY PRESENTED GROUPS (HB)
CONTROL THEORY FOR PARTIAL DIFFERENTIAL EQUATIONS: VOLUME 1, ABSTRACT PARABOLIC SYSTEMS (HB)
CONTROL THEORY FOR PARTIAL DIFFERENTIAL EQUATIONS: VOLUME 2, ABSTRACT HYPERBOLIC-LIKE SYSTEMS OVER A FINITE TIME HORIZON (HB)
CONVEX BODIES (HB)
EXACT CONSTANTS IN APPROXIMATION THEORY (HB)
FACTORIZATION CALCULUS AND GEOMETRIC PROBABILITY (HB)
FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES (HB)
GEOMETRY OF SPORADIC GROUPS (HB)
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HYDRODYNAMICS (PB)
INFINITE DIMENSIONAL OPTIMIZATION AND CONTROL THEORY (HB)
INTERVAL METHODS FOR SYSTEMS OF EQUATIONS (HB)
LATTICE THEORY (PB)
METHODEN ZUR THEORIE DER TERNAREN FORMEN (PB)
MINKOWSKI GEOMETRY (HB)
MULTIPLE SCATTERING (HB)
NONNEGATIVE MATRICES AND APPLICATIONS (HB)
NUMERICAL SOLUTION OF ELLIPTIC PROBLEMS (PB)
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THE BANACH-TARSKI PARADOX (PB)
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