Bass, Hyman 1932
Overview
Works:  89 works in 392 publications in 4 languages and 11,626 library holdings 

Genres:  Conference papers and proceedings Textbooks 
Roles:  Author, Editor, Honoree, Other, Degree grantor, Compiler, Dedicatee, Thesis advisor 
Classifications:  QA155, 512 
Publication Timeline
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Most widely held works about
Hyman Bass
 Bass, Hyman : Mathematics( )
 Special issue in honor of Hyman Bass on his seventieth birthday( Book )
Most widely held works by
Hyman Bass
Algebraic Ktheory by
Hyman Bass(
Book
)
27 editions published between 1968 and 1973 in English and Russian and held by 800 WorldCat member libraries worldwide
27 editions published between 1968 and 1973 in English and Russian and held by 800 WorldCat member libraries worldwide
Linear algebraic groups by
Armand Borel(
Book
)
5 editions published in 1969 in English and held by 424 WorldCat member libraries worldwide
This book is a revised and enlarged edition of "Linear Algebraic Groups", published by W.A. Benjamin in 1969. The text of the first edition has been corrected and revised. Accordingly, this book presents foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. After establishing these basic topics, the text then turns to solvable groups, general properties of linear algebraic groups and Chevally's structure theory of reductive groups over algebraically closed groundfields. The remainder of the book is devoted to rationality questions over nonalgebraically closed fields. This second edition has been expanded to include material on central isogenies and the structure of the group of rational points of an isotropic reductive group. The main prerequisite is some familiarity with algebraic geometry. The main notions and results needed are summarized in a chapter with references and brief proofs
5 editions published in 1969 in English and held by 424 WorldCat member libraries worldwide
This book is a revised and enlarged edition of "Linear Algebraic Groups", published by W.A. Benjamin in 1969. The text of the first edition has been corrected and revised. Accordingly, this book presents foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. After establishing these basic topics, the text then turns to solvable groups, general properties of linear algebraic groups and Chevally's structure theory of reductive groups over algebraically closed groundfields. The remainder of the book is devoted to rationality questions over nonalgebraically closed fields. This second edition has been expanded to include material on central isogenies and the structure of the group of rational points of an isotropic reductive group. The main prerequisite is some familiarity with algebraic geometry. The main notions and results needed are summarized in a chapter with references and brief proofs
The Smith conjecture by John W Morgan(
Book
)
15 editions published in 1984 in English and Undetermined and held by 385 WorldCat member libraries worldwide
15 editions published in 1984 in English and Undetermined and held by 385 WorldCat member libraries worldwide
Contributions to algebra : a collection of papers dedicated to Ellis Kolchin(
Book
)
10 editions published in 1977 in English and held by 353 WorldCat member libraries worldwide
10 editions published in 1977 in English and held by 353 WorldCat member libraries worldwide
Introduction to some methods of algebraic Ktheory by
Hyman Bass(
Book
)
16 editions published between 1973 and 1979 in English and held by 339 WorldCat member libraries worldwide
16 editions published between 1973 and 1979 in English and held by 339 WorldCat member libraries worldwide
Cyclic renormalization and automorphism groups of rooted trees by
Hyman Bass(
Book
)
23 editions published between 1995 and 1996 in English and held by 338 WorldCat member libraries worldwide
The theme of the monograph is an interplay between dynamical systems and group theory. The authors formalize and study "cyclic renormalization", a phenomenon which appears naturally for some interval dynamical systems. A possibly infinite hierarchy of such renormalizations is naturally represented by a rooted tree, together with a "spherically transitive" automorphism; the infinite case corresponds to maps with an invariant Cantor set, a class of particular interest for its relevance to the description of the transition to chaos and of the Mandelbrot set. The normal subgroup structure of the automorphism group of such "spherically homogeneous" rooted trees is investigated in some detail. This work will be of interest to researchers in both dynamical systems and group theory
23 editions published between 1995 and 1996 in English and held by 338 WorldCat member libraries worldwide
The theme of the monograph is an interplay between dynamical systems and group theory. The authors formalize and study "cyclic renormalization", a phenomenon which appears naturally for some interval dynamical systems. A possibly infinite hierarchy of such renormalizations is naturally represented by a rooted tree, together with a "spherically transitive" automorphism; the infinite case corresponds to maps with an invariant Cantor set, a class of particular interest for its relevance to the description of the transition to chaos and of the Mandelbrot set. The normal subgroup structure of the automorphism group of such "spherically homogeneous" rooted trees is investigated in some detail. This work will be of interest to researchers in both dynamical systems and group theory
Measuring what counts : a conceptual guide for mathematics assessment by
National Research Council (U.S.)(
Book
)
13 editions published in 1993 in English and held by 323 WorldCat member libraries worldwide
13 editions published in 1993 in English and held by 323 WorldCat member libraries worldwide
Tree lattices by
Hyman Bass(
Book
)
16 editions published between 2000 and 2001 in English and held by 309 WorldCat member libraries worldwide
Group actions on trees furnish a unified geometric way of recasting the chapter of combinatorial group theory dealing with free groups, amalgams, and HNN extensions. Some of the principal examples arise from rank one simple Lie groups over a nonarchimedean local field acting on their BruhatTits trees. In particular this leads to a powerful method for studying lattices in such Lie groups. This monograph extends this approach to the more general investigation of Xlattices G, where Xis a locally finite tree and G is a discrete group of automorphisms of X of finite covolume. These "tree lattices" are the main object of study. Special attention is given to both parallels and contrasts with the case of Lie groups. Beyond the Lie group connection, the theory has application to combinatorics and number theory. The authors present a coherent survey of the results on uniform tree lattices, and a (previously unpublished) development of the theory of nonuniform tree lattices, including some fundamental and recently proved existence theorems. Nonuniform tree lattices are much more complicated than uniform ones; thus a good deal of attention is given to the construction and study of diverse examples. The fundamental technique is the encoding of tree action in terms of the corresponding quotient "graphs of groups." Tree Lattices should be a helpful resource to researcher sin the field, and may also be used for a graduate course on geometric methods in group theory
16 editions published between 2000 and 2001 in English and held by 309 WorldCat member libraries worldwide
Group actions on trees furnish a unified geometric way of recasting the chapter of combinatorial group theory dealing with free groups, amalgams, and HNN extensions. Some of the principal examples arise from rank one simple Lie groups over a nonarchimedean local field acting on their BruhatTits trees. In particular this leads to a powerful method for studying lattices in such Lie groups. This monograph extends this approach to the more general investigation of Xlattices G, where Xis a locally finite tree and G is a discrete group of automorphisms of X of finite covolume. These "tree lattices" are the main object of study. Special attention is given to both parallels and contrasts with the case of Lie groups. Beyond the Lie group connection, the theory has application to combinatorics and number theory. The authors present a coherent survey of the results on uniform tree lattices, and a (previously unpublished) development of the theory of nonuniform tree lattices, including some fundamental and recently proved existence theorems. Nonuniform tree lattices are much more complicated than uniform ones; thus a good deal of attention is given to the construction and study of diverse examples. The fundamental technique is the encoding of tree action in terms of the corresponding quotient "graphs of groups." Tree Lattices should be a helpful resource to researcher sin the field, and may also be used for a graduate course on geometric methods in group theory
Algebra, Ktheory, groups, and education : on the occasion of Hyman Bass's 65th birthday(
Book
)
10 editions published between 1999 and 2000 in English and held by 218 WorldCat member libraries worldwide
10 editions published between 1999 and 2000 in English and held by 218 WorldCat member libraries worldwide
Lectures on topics in algebraic ktheory by
Hyman Bass(
Book
)
8 editions published in 1967 in English and held by 182 WorldCat member libraries worldwide
8 editions published in 1967 in English and held by 182 WorldCat member libraries worldwide
Hermitian KTheory and Geometric Applications : Proceedings of the Conference held at the Seattle Research Center of the Battelle
Memorial Institute, from August 28 to September 8, 1972 by
Hyman Bass(
)
21 editions published in 1973 in English and held by 143 WorldCat member libraries worldwide
21 editions published in 1973 in English and held by 143 WorldCat member libraries worldwide
Selected works of Ellis Kolchin with commentary by
E. R Kolchin(
Book
)
6 editions published in 1999 in English and held by 129 WorldCat member libraries worldwide
6 editions published in 1999 in English and held by 129 WorldCat member libraries worldwide
Classical algebraic Ktheory and connections with arithmetic by
Hyman Bass(
Book
)
24 editions published between 1973 and 1986 in 3 languages and held by 126 WorldCat member libraries worldwide
24 editions published between 1973 and 1986 in 3 languages and held by 126 WorldCat member libraries worldwide
Higher KTheories : Proceedings of the Conference held at the Seattle Research Center of the Battelle Memorial Institute,
from August 28 to September 8, 1972 by
Hyman Bass(
)
15 editions published between 1973 and 1986 in 3 languages and held by 125 WorldCat member libraries worldwide
15 editions published between 1973 and 1986 in 3 languages and held by 125 WorldCat member libraries worldwide
Studying classroom teaching as a medium for professional development : proceedings of a U.S.Japan workshop by Hyman, Ed Bass(
Book
)
11 editions published in 2002 in English and held by 123 WorldCat member libraries worldwide
Annotation
11 editions published in 2002 in English and held by 123 WorldCat member libraries worldwide
Annotation
Algebraic Ktheory and its applications : proceedings of the workshop and symposium : ICTP, Trieste, Italy, 119 September
1997 by Workshop Algebraic KTheory and Its Applications(
Book
)
5 editions published in 1999 in English and held by 121 WorldCat member libraries worldwide
5 editions published in 1999 in English and held by 121 WorldCat member libraries worldwide
Trees by
JeanPierre Serre(
Book
)
15 editions published between 1977 and 1983 in French and held by 111 WorldCat member libraries worldwide
The present book is an English translation of "Arbres, Amalgames, SL(2)", published in 1977 by JP. Serre, and written with the collaboration of H. Bass. The first chapter describes the "arboreal dictionary" between graphs of groups and group actions on trees. The second chapter gives applications to the BruhatTits tree of SL(2) over a local field
15 editions published between 1977 and 1983 in French and held by 111 WorldCat member libraries worldwide
The present book is an English translation of "Arbres, Amalgames, SL(2)", published in 1977 by JP. Serre, and written with the collaboration of H. Bass. The first chapter describes the "arboreal dictionary" between graphs of groups and group actions on trees. The second chapter gives applications to the BruhatTits tree of SL(2) over a local field
Algebra by
Serge Lang(
Book
)
5 editions published between 2010 and 2011 in English and held by 97 WorldCat member libraries worldwide
This book is intended as a basic text for a oneyear course in Algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higherlevel algebra. It successfully addresses the basic concepts of algebra. For the revised third edition, the author has added exercises and made numerous corrections to the text. Comments on Serge Lang's Algebra: Lang's Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduatelevel algebra books. April 1999 Notices of the AMS, announcing that the author was awarded the Leroy P. Steele Prize for Mathematical Exposition for his many mathematics books. The author has an impressive knack for presenting the important and interesting ideas of algebra in just the "right" way, and he never gets bogged down in the dry formalism which pervades some parts of algebra. MathSciNet's review of the first edition
5 editions published between 2010 and 2011 in English and held by 97 WorldCat member libraries worldwide
This book is intended as a basic text for a oneyear course in Algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higherlevel algebra. It successfully addresses the basic concepts of algebra. For the revised third edition, the author has added exercises and made numerous corrections to the text. Comments on Serge Lang's Algebra: Lang's Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduatelevel algebra books. April 1999 Notices of the AMS, announcing that the author was awarded the Leroy P. Steele Prize for Mathematical Exposition for his many mathematics books. The author has an impressive knack for presenting the important and interesting ideas of algebra in just the "right" way, and he never gets bogged down in the dry formalism which pervades some parts of algebra. MathSciNet's review of the first edition
Measuring what counts : a policy brief by
National Research Council (U.S.)(
Book
)
7 editions published in 1993 in English and held by 42 WorldCat member libraries worldwide
7 editions published in 1993 in English and held by 42 WorldCat member libraries worldwide
Mathematics and science education around the world : what can we learn from the Survey of Mathematics and Science Opportunities
(SMSO) and the Third International Mathematics and Science Study (TIMSS)?(
Book
)
11 editions published in 1996 in English and held by 38 WorldCat member libraries worldwide
11 editions published in 1996 in English and held by 38 WorldCat member libraries worldwide
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Related Identities
 National Research Council (U.S.). Mathematical Sciences Education Board Other
 Kahle, Jane Butler
 Center for Science, Mathematics, and Engineering Education
 National Research Council (U.S.). Committee on Science Education K12
 Burrill, Gail
 Usiskin, Zalman
 United States National Commission on Mathematics Instruction
 Morgan, John 1946 March 21 Editor
 Kolchin, E. R. (Ellis Robert) 1916 Honoree Author
 Cassidy, Phyllis J. (Phyllis Joan) 1934 Editor
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Associated Subjects
Algebra Algebra, Abstract Algebra, Homological Algebra, Universal Algebraic fields Algebraic topology Algebras, Linear Arithmetic Associative rings Authors Automorphisms Awards Canada Categories (Mathematics) College teachers Commutative rings Diffeomorphisms Differentiable dynamical systems Differential algebra Editors Field theory (Physics) Finite groups Fixed point theory Forms (Mathematics) Free groups Geometry, Algebraic Global analysis (Mathematics) Group theory Homology theory Japan Kolchin, E. R.(Ellis Robert), Ktheory Lie groups Linear algebraic groups Mathematical abilityTesting Mathematical analysis Mathematics MathematicsStudy and teaching MathematicsStudy and teaching (Elementary) MathematicsStudy and teachingEvaluation Modules (Algebra) Polynomials Rings (Algebra) ScienceStudy and teachingEvaluation Tensor algebra Threemanifolds (Topology) Trees (Graph theory) United States Universities and collegesFaculty Vector spaces
Alternative Names
Bass, Ch.
Bass, Ch. 1932
Bass, H.
Bass, H. 1932
Bass, H. (Hyman), 1932
Bass, Hyman
Hyman Bass Amerikaans wiskundige
Hyman Bass amerikansk matematikar
Hyman Bass amerikansk matematiker
Hyman Bass matematico statunitense
Hyman Bass mathématicien américain
Hyman Bass USamerikanischer Mathematiker
Hymann Bass
Басс, Х..
هيمان باس
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