WorldCat Identities

Bass, Hyman 1932-

Works: 137 works in 502 publications in 4 languages and 12,538 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Other, Honoree, Degree grantor, Compiler, Dedicatee, Thesis advisor
Classifications: QA3, 512
Publication Timeline
Most widely held works by Hyman Bass
Measuring what counts : a conceptual guide for mathematics assessment by National Research Council (U.S.)( )

13 editions published in 1993 in English and held by 1,891 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 1,580 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 1,547 WorldCat member libraries worldwide

The Ninth International Congress on Mathematics Education (ICME-9) 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, activity-based 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 90-minute videotape accompanies the book and includes video selections of classroom lessons and a Japanese post-lesson discussion that were shown at the workshop. These segments--along with written cases describing mathematics classes--were 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 K-theory by Hyman Bass( Book )

31 editions published between 1968 and 1980 in 4 languages and held by 966 WorldCat member libraries worldwide

The Smith conjecture( Book )

10 editions published between 1983 and 1984 in English and held by 550 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
Cyclic renormalization and automorphism groups of rooted trees by Hyman Bass( Book )

24 editions published between 1995 and 2006 in English and held by 546 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
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 440 WorldCat member libraries worldwide

Linear algebraic groups by Armand Borel( Book )

7 editions published in 1969 in English and held by 418 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 non-algebraically 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 K-theory by Hyman Bass( Book )

21 editions published between 1973 and 1979 in English and held by 362 WorldCat member libraries worldwide

Algebra, K-theory, 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 259 WorldCat member libraries worldwide

"This volume includes expositions of key developments over the past four decades in commutative and non-commutative algebra, algebraic K-theory, 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
Tree lattices by Hyman Bass( Book )

1 edition published in 2001 in English and held by 258 WorldCat member libraries worldwide

Lectures on topics in algebraic k-theory by Hyman Bass( Book )

3 editions published in 1967 in English and held by 156 WorldCat member libraries worldwide

Higher K-Theories : 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( )

13 editions published in 1973 in English and French and held by 147 WorldCat member libraries worldwide

Algebraic K-theory and its applications : proceedings of the workshop and symposium : ICTP, Trieste, Italy, 1-19 September 1997( Book )

4 editions published in 1999 in English and held by 134 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 132 WorldCat member libraries worldwide

Tree lattices by Hyman Bass( )

15 editions published between 2000 and 2011 in English and held by 128 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 non-archimedean local field acting on their Bruhat--Tits 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 X-lattices G, where X-is 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 non-uniform tree lattices, including some fundamental and recently proved existence theorems. Non-uniform 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 Jean-Pierre Serre( Book )

10 editions published between 1977 and 1983 in French and held by 101 WorldCat member libraries worldwide

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Studying classroom teaching as a medium for professional development : proceedings of a U.S.-Japan workshop
Measuring what counts : a policy briefMathematics 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)?Studying classroom teaching as a medium for professional development : proceedings of a U.S.-Japan workshopAlgebraic K-theoryThe Smith conjectureCyclic renormalization and automorphism groups of rooted treesAlgebra, K-theory, groups, and education : on the occasion of Hyman Bass's 65th birthdayTree lattices
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 matemàtic estatunidenc

Hyman Bass matemático estadounidense

Hyman Bass matematico statunitense

Hyman Bass matemáticu estauxunidense

Hyman Bass mathématicien américain

Hyman Bass US-amerikanischer Mathematiker

Hymann Bass

Басс Х.

هيمان باس

هيمان باس رياضياتي أمريكي

하이먼 배스


English (230)

French (11)

Russian (3)

Italian (1)