Gerstenhaber, Murray 1927
Overview
Works:  17 works in 61 publications in 1 language and 625 library holdings 

Genres:  Conference papers and proceedings Biography 
Roles:  Editor, Author, Honoree, Other, Dedicatee 
Classifications:  QH324, 512.8 
Publication Timeline
.
Most widely held works about
Murray Gerstenhaber
 Higher structures in geometry and physics : in honor of Murray Gerstenhaber and Jim Stasheff by A. S Cattaneo( Book )
Most widely held works by
Murray Gerstenhaber
Deformation theory and quantum groups with applications to mathematical physics : proceedings of a AMSIMSSIAM 1990 joint
summer research conference held June 1420 at the University of Massachusetts, Amherst, with support from the National Science
Foundation by
Murray Gerstenhaber(
Book
)
15 editions published in 1992 in English and held by 230 WorldCat member libraries worldwide
15 editions published in 1992 in English and held by 230 WorldCat member libraries worldwide
Deformation theory of algebras and structures and applications by
Michiel Hazewinkel(
Book
)
15 editions published between 1986 and 1988 in English and held by 173 WorldCat member libraries worldwide
This volume is a result of a meeting which took place in June 1986 at 'll Ciocco" in Italy entitled 'Deformation theory of algebras and structures and applications'. It appears somewhat later than is perhaps desirable for a volume resulting from a summer school. In return it contains a good many results which were not yet available at the time of the meeting. In particular it is now abundantly clear that the Deformation theory of algebras is indeed central to the whole philosophy of deformations/perturbations/stability. This is one of the main results of the 254 page paper below (practically a book in itself) by Gerstenhaber and Shack entitled "Algebraic cohomology and defor mation theory". Two of the main philosphicalmethodological pillars on which deformation theory rests are the fol lowing  (Pure) To study a highly complicated object, it is fruitful to study the ways in which it can arise as a limit of a family of simpler objects: "the unraveling of complicated structures" .  (Applied) If a mathematical model is to be applied to the real world there will usually be such things as coefficients which are imperfectly known. Thus it is important to know how the behaviour of a model changes as it is perturbed (deformed)
15 editions published between 1986 and 1988 in English and held by 173 WorldCat member libraries worldwide
This volume is a result of a meeting which took place in June 1986 at 'll Ciocco" in Italy entitled 'Deformation theory of algebras and structures and applications'. It appears somewhat later than is perhaps desirable for a volume resulting from a summer school. In return it contains a good many results which were not yet available at the time of the meeting. In particular it is now abundantly clear that the Deformation theory of algebras is indeed central to the whole philosophy of deformations/perturbations/stability. This is one of the main results of the 254 page paper below (practically a book in itself) by Gerstenhaber and Shack entitled "Algebraic cohomology and defor mation theory". Two of the main philosphicalmethodological pillars on which deformation theory rests are the fol lowing  (Pure) To study a highly complicated object, it is fruitful to study the ways in which it can arise as a limit of a family of simpler objects: "the unraveling of complicated structures" .  (Applied) If a mathematical model is to be applied to the real world there will usually be such things as coefficients which are imperfectly known. Thus it is important to know how the behaviour of a model changes as it is perturbed (deformed)
Higher structures in geometry and physics : in honor of Murray Gerstenhaber and Jim Stasheff by
A. S Cattaneo(
Book
)
7 editions published in 2011 in English and held by 75 WorldCat member libraries worldwide
This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics and in theoretical physics such as quantum field theory and string theory. These higher algebraic structures provide a common language essential in the study of deformation quantization, theory of algebroids and groupoids, symplectic field theory, and much more. Each contribution in this volume expands on the ideas of
7 editions published in 2011 in English and held by 75 WorldCat member libraries worldwide
This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics and in theoretical physics such as quantum field theory and string theory. These higher algebraic structures provide a common language essential in the study of deformation quantization, theory of algebroids and groupoids, symplectic field theory, and much more. Each contribution in this volume expands on the ideas of
Norbert Wiener, 18941964 by
Felix E Browder(
Book
)
5 editions published between 1966 and 1988 in English and held by 14 WorldCat member libraries worldwide
5 editions published between 1966 and 1988 in English and held by 14 WorldCat member libraries worldwide
Some mathematical questions in biology by Symposium on Mathematical Biology(
Book
)
2 editions published in 1970 in English and held by 13 WorldCat member libraries worldwide
2 editions published in 1970 in English and held by 13 WorldCat member libraries worldwide
Some mathematical problems in biology by Symposium on Mathematical Biology(
Book
)
3 editions published between 1968 and 1974 in English and held by 6 WorldCat member libraries worldwide
3 editions published between 1968 and 1974 in English and held by 6 WorldCat member libraries worldwide
Some mathematical questions in biology : [proceedings of the ... Symposium on Mathematical Biology held at the annual meeting
of the American Association for the Advancement of Sciences](
Book
)
2 editions published in 1970 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1970 in English and held by 3 WorldCat member libraries worldwide
Norbert Wiener, 18941964 by
American Mathematical Society(
Book
)
1 edition published in 1988 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1988 in English and held by 3 WorldCat member libraries worldwide
Some mathematical questions in biology : [proceedings of the ... Symposium on Mathematical Biology held at the annual meeting
of the American Association for the Advancement of Sciences](
Book
)
1 edition published in 1968 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1968 in English and held by 2 WorldCat member libraries worldwide
Homotopy Galgebras and moduli space operad by
Murray Gerstenhaber(
Book
)
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
A grouptheoretic consequence of the DonaldFlanigan conjecture by
Murray Gerstenhaber(
Book
)
2 editions published in 1992 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1992 in English and held by 2 WorldCat member libraries worldwide
Deformation theory and quantum groups with applications to mathematical physics : Joint summer research conference on deformation
theory of algebras and quantization with applications to physics : Papers(
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
Deformation theory and quantum groups with applications to mathematical physics. Amherst, 1990 by
Murray Gerstenhaber(
Book
)
1 edition published in 1990 in English and held by 1 WorldCat member library worldwide
1 edition published in 1990 in English and held by 1 WorldCat member library worldwide
Applications of categorical algebra by Symposium in pure mathematics of the American mathematical society(
Book
)
1 edition published in 1970 in English and held by 1 WorldCat member library worldwide
1 edition published in 1970 in English and held by 1 WorldCat member library worldwide
Rings of derivations by
Murray Gerstenhaber(
)
1 edition published in 1951 in English and held by 1 WorldCat member library worldwide
1 edition published in 1951 in English and held by 1 WorldCat member library worldwide
Deformation of an AMSIMSSIAM 1990 Joint Summer Conference held June 1420 at the University of Massachusetts, Amhrest with
support from the National Science Foundation by AMSIMSSIAM Joint Summer Research Conference on Deformation Theory of Algebras and Quantization with Applications to Physics(
Book
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Stasheff, James D. Other Honoree Dedicatee Editor
 Institute of Mathematical Statistics Other
 Society for Industrial and Applied Mathematics Other
 American Mathematical Society
 Hazewinkel, Michiel Other Author Editor
 Cattaneo, A. S. (Alberto S.) Editor
 Giaquinto, Anthony Editor
 Xu, Ping Professor Editor
 American mathematical society Other
 Spanier, Edwin Henry (19211996) Editor
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Associated Subjects
Algebra Algebra, Homological Algebraic fields BiologyMathematical models Biomathematics Categories (Mathematics) Geometric quantization Geometry Geometry, Algebraic Group theory Homotopy theory Mathematical physics Mathematicians Mathematics Ordered algebraic structures Perturbation (Mathematics) Quantum groups Topological groups United States Wiener, Norbert,
Alternative Names
Gerstenhaber, M. 1927
Gerstenhaber, Murray
Gerstenhaber Murray H.
Murray Gerstenhaber American mathematician
Murray Gerstenhaber Amerikaans wiskundige
Murray Gerstenhaber amerikansk matematikar
Murray Gerstenhaber amerikansk matematiker
Murray Gerstenhaber matemático estadounidense
Murray Gerstenhaber matematico statunitense
Murray Gerstenhaber USamerikanischer Mathematiker
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