Bass, Hyman 1932
Overview
Works:  127 works in 489 publications in 4 languages and 12,136 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Other, Degree grantor, Dedicatee, Compiler, Thesis advisor 
Publication Timeline
.
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
Measuring what counts : a conceptual guide for mathematics assessment by
National Research Council (U.S.)(
)
14 editions published in 1993 in English and held by 1,880 WorldCat member libraries worldwide
14 editions published in 1993 in English and held by 1,880 WorldCat member libraries worldwide
Measuring what counts : a policy brief by
National Research Council (U.S.)(
)
8 editions published in 1993 in English and held by 1,565 WorldCat member libraries worldwide
8 editions published in 1993 in English and held by 1,565 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)?(
)
11 editions published in 1996 in English and held by 1,539 WorldCat member libraries worldwide
11 editions published in 1996 in English and held by 1,539 WorldCat member libraries worldwide
Studying classroom teaching as a medium for professional development : proceedings of a U.S.Japan workshop by
Hyman Bass(
)
16 editions published in 2002 in English and held by 1,502 WorldCat member libraries worldwide
The Ninth International Congress on Mathematics Education (ICME9) held in Makuhari, Japan, in August 2000 provided a unique opportunity for the Mathematical Sciences Education Board and the U.S. National Commission on Mathematics Instruction. Together with educators from the Japanese mathematical community, they hosted a workshop on teacher development immediately following the Congress. The aim of the workshop was to draw upon the expertise of participants from the two countries to work on developing a better understanding of the knowledge that is needed to teach mathematics well and how to help teachers gain this knowledge. The workshop focused on using the study of classroom events to help elementary mathematics teachers improve their teaching. In the first part of the workshop, participants considered a professional development approach that the Japanese refer to as jugyokenkyu or "lesson study". In the second part of the workshop, participants considered the use of classroom documentation and written cases, highlighting some of the work performed in the United States. The workshop consisted of large group plenary sessions, panel discussions, activitybased sessions, and small group discussion. Interactions between the two cultures were made possible by simultaneous translation. "Studying Classroom Teaching as a Medium for Professional Development" is a record of what took place at the workshop. The first section consists of papers written after the workshop by two participants reflecting on their experiences during the workshop. The body of the proceedings consists of edited transcriptions of the talks presented in plenary sessions and of the remarks given by panel members on various topics. The final section of the document contains the summaries of small group discussions describing the group response to one or two focused questions. A 90minute videotape accompanies the book and includes video selections of classroom lessons and a Japanese postlesson discussion that were shown at the workshop. These segmentsalong with written cases describing mathematics classeswere used to engage participants in observing and discussing classroom practices, allowing them to consider how such materials might be used in professional development contexts. Supporting print materials, such as transcripts and lesson plans, are in the appendixes. (Author)
16 editions published in 2002 in English and held by 1,502 WorldCat member libraries worldwide
The Ninth International Congress on Mathematics Education (ICME9) held in Makuhari, Japan, in August 2000 provided a unique opportunity for the Mathematical Sciences Education Board and the U.S. National Commission on Mathematics Instruction. Together with educators from the Japanese mathematical community, they hosted a workshop on teacher development immediately following the Congress. The aim of the workshop was to draw upon the expertise of participants from the two countries to work on developing a better understanding of the knowledge that is needed to teach mathematics well and how to help teachers gain this knowledge. The workshop focused on using the study of classroom events to help elementary mathematics teachers improve their teaching. In the first part of the workshop, participants considered a professional development approach that the Japanese refer to as jugyokenkyu or "lesson study". In the second part of the workshop, participants considered the use of classroom documentation and written cases, highlighting some of the work performed in the United States. The workshop consisted of large group plenary sessions, panel discussions, activitybased sessions, and small group discussion. Interactions between the two cultures were made possible by simultaneous translation. "Studying Classroom Teaching as a Medium for Professional Development" is a record of what took place at the workshop. The first section consists of papers written after the workshop by two participants reflecting on their experiences during the workshop. The body of the proceedings consists of edited transcriptions of the talks presented in plenary sessions and of the remarks given by panel members on various topics. The final section of the document contains the summaries of small group discussions describing the group response to one or two focused questions. A 90minute videotape accompanies the book and includes video selections of classroom lessons and a Japanese postlesson discussion that were shown at the workshop. These segmentsalong with written cases describing mathematics classeswere used to engage participants in observing and discussing classroom practices, allowing them to consider how such materials might be used in professional development contexts. Supporting print materials, such as transcripts and lesson plans, are in the appendixes. (Author)
Algebraic Ktheory by
Hyman Bass(
Book
)
29 editions published between 1968 and 1980 in 4 languages and held by 947 WorldCat member libraries worldwide
29 editions published between 1968 and 1980 in 4 languages and held by 947 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 528 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 528 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
The Smith conjecture(
Book
)
11 editions published between 1983 and 1984 in English and held by 509 WorldCat member libraries worldwide
"In the 1940s, Paul A. Smith asked whether or not the fixed point set of a periodic, orientation preserving homeomorphism of S³ to itself was always an unknotted circle. In the fall of 1978 this question was answered in the affirmative for diffeomorphisms. The proof rests on the work of mathematicians in diverse areas of mathematics. In the spring of 1979 a symposium was held at Columbia University on the solution to Smith's question. It brought together the principal actors in the drama to present various pieces of the proof. In addition to written versions of the presentations, this volume includes an introduction which explains how the pieces fit together."  preface
11 editions published between 1983 and 1984 in English and held by 509 WorldCat member libraries worldwide
"In the 1940s, Paul A. Smith asked whether or not the fixed point set of a periodic, orientation preserving homeomorphism of S³ to itself was always an unknotted circle. In the fall of 1978 this question was answered in the affirmative for diffeomorphisms. The proof rests on the work of mathematicians in diverse areas of mathematics. In the spring of 1979 a symposium was held at Columbia University on the solution to Smith's question. It brought together the principal actors in the drama to present various pieces of the proof. In addition to written versions of the presentations, this volume includes an introduction which explains how the pieces fit together."  preface
Contributions to algebra : a collection of papers dedicated to Ellis Kolchin by
E. R Kolchin(
Book
)
14 editions published in 1977 in English and held by 424 WorldCat member libraries worldwide
14 editions published in 1977 in English and held by 424 WorldCat member libraries worldwide
Linear algebraic groups by
Armand Borel(
Book
)
7 editions published in 1969 in English and held by 419 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
7 editions published in 1969 in English and held by 419 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
Introduction to some methods of algebraic Ktheory by
Hyman Bass(
Book
)
20 editions published between 1973 and 1979 in English and held by 357 WorldCat member libraries worldwide
20 editions published between 1973 and 1979 in English and held by 357 WorldCat member libraries worldwide
Tree lattices by
Hyman Bass(
Book
)
1 edition published in 2001 in English and held by 262 WorldCat member libraries worldwide
1 edition published in 2001 in English and held by 262 WorldCat member libraries worldwide
Algebra, Ktheory, groups, and education : on the occasion of Hyman Bass's 65th birthday(
Book
)
11 editions published between 1999 and 2012 in English and held by 256 WorldCat member libraries worldwide
"This volume includes expositions of key developments over the past four decades in commutative and noncommutative algebra, algebraic Ktheory, infinite group theory, and applications of algebra to topology. Many of the articles are based on lectures given at a conference at Columbia University honoring the 65th birthday of Hyman Bass. Important topics related to Bass's mathematical interests are surveyed by leading experts in the field."Jacket
11 editions published between 1999 and 2012 in English and held by 256 WorldCat member libraries worldwide
"This volume includes expositions of key developments over the past four decades in commutative and noncommutative algebra, algebraic Ktheory, infinite group theory, and applications of algebra to topology. Many of the articles are based on lectures given at a conference at Columbia University honoring the 65th birthday of Hyman Bass. Important topics related to Bass's mathematical interests are surveyed by leading experts in the field."Jacket
Lectures on topics in algebraic ktheory by
Hyman Bass(
Book
)
3 editions published in 1967 in English and held by 156 WorldCat member libraries worldwide
3 editions published in 1967 in English and held by 156 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(
)
16 editions published in 1973 in English and held by 137 WorldCat member libraries worldwide
16 editions published in 1973 in English and held by 137 WorldCat member libraries worldwide
Algebraic Ktheory and its applications : proceedings of the workshop and symposium : ICTP, Trieste, Italy, 119 September
1997(
Book
)
6 editions published in 1999 in English and Undetermined and held by 132 WorldCat member libraries worldwide
6 editions published in 1999 in English and Undetermined and held by 132 WorldCat member libraries worldwide
Selected works of Ellis Kolchin with commentary by
E. R Kolchin(
Book
)
7 editions published in 1999 in English and held by 131 WorldCat member libraries worldwide
7 editions published in 1999 in English and held by 131 WorldCat member libraries worldwide
"Classical" Algebraic KTheory, and Connections with Arithmetic : 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(
)
11 editions published between 1973 and 2006 in English and held by 123 WorldCat member libraries worldwide
11 editions published between 1973 and 2006 in English and held by 123 WorldCat member libraries worldwide
Tree lattices by
Hyman Bass(
)
15 editions published between 2000 and 2011 in English and held by 112 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
15 editions published between 2000 and 2011 in English and held by 112 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
Arbres, amalgames, SL₂ : cours au Collège de France by
JeanPierre Serre(
Book
)
11 editions published between 1977 and 1983 in French and held by 106 WorldCat member libraries worldwide
11 editions published between 1977 and 1983 in French and held by 106 WorldCat member libraries worldwide
Algebra by
John W Milnor(
Book
)
4 editions published between 2010 and 2011 in English and held by 76 WorldCat member libraries worldwide
4 editions published between 2010 and 2011 in English and held by 76 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 Editor
 Usiskin, Zalman Editor
 United States National Commission on Mathematics Instruction
 Morgan, John 1946 March 21 Author Editor
 Kolchin, E. R. (Ellis Robert) 1916 Honoree Author
 Cassidy, Phyllis J. (Phyllis Joan) 1934 Editor
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Associated Subjects
Algebra Algebraic topology Associative rings Authors Automorphisms Awards Canada Categories (Mathematics) Cell aggregationMathematics College administrators College teachers Combinatorial analysis Commutative rings Diffeomorphisms Differentiable dynamical systems Differential algebra Editors Educational assistance Finite groups Fixed point theory Free groups Geometry, Algebraic Global analysis (Mathematics) Group theory Homology theory Japan Kolchin, E. R.(Ellis Robert), Ktheory Lecturers Lie groups Linear algebraic groups Mathematical abilityTesting Mathematics MathematicsStudy and teaching MathematicsStudy and teaching (Elementary) MathematicsStudy and teachingEvaluation Modules (Algebra) Research Rings (Algebra) ScienceStudy and teachingEvaluation Scientists Teachers Threemanifolds (Topology) Topological groups Trees (Graph theory) United States Universities and collegesFaculty
Covers
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 matemático estadounidense
Hyman Bass matematico statunitense
Hyman Bass mathématicien américain
Hyman Bass USamerikanischer Mathematiker
Hymann Bass
Басс Х.
هيمان باس
هيمان باس رياضياتي أمريكي
하이먼 배스
ハイマン・バス
Languages