Eisenbud, David
Overview
Works:  86 works in 356 publications in 5 languages and 6,061 library holdings 

Genres:  Conference papers and proceedings Documentary films Interviews Filmed interviews Biographical films Textbooks Nonfiction films 
Roles:  Author, Editor, Contributor, Other 
Classifications:  QA564, 512.24 
Publication Timeline
.
Most widely held works about
David Eisenbud
 Halmos, Paul R., Documentary Film Source Materials collection by Paul R Halmos( )
Most widely held works by
David Eisenbud
Commutative algebra with a view toward algebraic geometry by
David Eisenbud(
Book
)
45 editions published between 1989 and 2008 in 3 languages and held by 834 WorldCat member libraries worldwide
This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. The book gives a concise treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it
45 editions published between 1989 and 2008 in 3 languages and held by 834 WorldCat member libraries worldwide
This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. The book gives a concise treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it
The geometry of schemes by
David Eisenbud(
Book
)
30 editions published between 1999 and 2010 in English and Italian and held by 516 WorldCat member libraries worldwide
"This book is intended to bridge the chasm between a first course in classical algebraic geometry and a technical treatise on schemes. It focuses on examples and strives to show "what's going on" behind the definitions. There are many exercises to test and extend the reader's understanding. The prerequisites are modest: a little commutative algebra and an acquaintance with algebraic varieties, roughly at the level of a onesemester course. The book aims to show schemes in relation to other geometric ideas, such as the theory of manifolds. Some familiarity with these ideas is helpful, though not required."Jacket
30 editions published between 1999 and 2010 in English and Italian and held by 516 WorldCat member libraries worldwide
"This book is intended to bridge the chasm between a first course in classical algebraic geometry and a technical treatise on schemes. It focuses on examples and strives to show "what's going on" behind the definitions. There are many exercises to test and extend the reader's understanding. The prerequisites are modest: a little commutative algebra and an acquaintance with algebraic varieties, roughly at the level of a onesemester course. The book aims to show schemes in relation to other geometric ideas, such as the theory of manifolds. Some familiarity with these ideas is helpful, though not required."Jacket
Threedimensional link theory and invariants of plane curve singularities by
David Eisenbud(
Book
)
13 editions published between 1985 and 1986 in English and held by 424 WorldCat member libraries worldwide
13 editions published between 1985 and 1986 in English and held by 424 WorldCat member libraries worldwide
The geometry of syzygies : a second course in commutative algebra and algebraic geometry by
David Eisenbud(
Book
)
21 editions published in 2005 in English and held by 386 WorldCat member libraries worldwide
"Algebraic Geometry often seems very abstract, but in fact it is full of concrete examples and problems. This side of the subject can be approached through the equations of a variety, and the syzygies of these equations are a necessary part of the study. This book is the first textbooklevel account of basic examples and techniques in this area. It illustrates the use of syzygies in many concrete geometric considerations, from interpolation to the study of canonical curves. The text has served as a basis for graduate courses by the author at Berkeley, Brandeis, and in Paris. It is also suitable for selfstudy by a reader who knows a little commutative algebra and algebraic geometry already. As an aid to the reader, the appendices provide summaries of local cohomology and commutative algebra, tying together examples and major results from a wide range of topics."Publisher's website
21 editions published in 2005 in English and held by 386 WorldCat member libraries worldwide
"Algebraic Geometry often seems very abstract, but in fact it is full of concrete examples and problems. This side of the subject can be approached through the equations of a variety, and the syzygies of these equations are a necessary part of the study. This book is the first textbooklevel account of basic examples and techniques in this area. It illustrates the use of syzygies in many concrete geometric considerations, from interpolation to the study of canonical curves. The text has served as a basis for graduate courses by the author at Berkeley, Brandeis, and in Paris. It is also suitable for selfstudy by a reader who knows a little commutative algebra and algebraic geometry already. As an aid to the reader, the appendices provide summaries of local cohomology and commutative algebra, tying together examples and major results from a wide range of topics."Publisher's website
Schemes : the language of modern algebraic geometry by
David Eisenbud(
Book
)
13 editions published between 1991 and 1999 in English and held by 363 WorldCat member libraries worldwide
13 editions published between 1991 and 1999 in English and held by 363 WorldCat member libraries worldwide
Computational methods in commutative algebra and algebraic geometry by
Wolmer V Vasconcelos(
Book
)
15 editions published between 1997 and 2004 in English and held by 296 WorldCat member libraries worldwide
15 editions published between 1997 and 2004 in English and held by 296 WorldCat member libraries worldwide
Computations in algebraic geometry with Macaulay 2 by
David Eisenbud(
Book
)
15 editions published between 2001 and 2002 in English and held by 223 WorldCat member libraries worldwide
This book presents algorithmic tools for algebraic geometry and experimental applications of them. It also introduces a software system in which the tools have been implemented and with which the experiments can be carried out. Macaulay 2 is a computer algebra system devoted to supporting research in algebraic geometry, commutative algebra, and their applications. The reader of this book will encounter Macaulay 2 in the context of concrete applications and practical computations in algebraic geometry. The expositions of the algorithmic tools presented here are designed to serve as a useful guide for those wishing to bring such tools to bear on their own problems. These expositions will be valuable to both the users of other programs similar to Macaulay 2 (for example, Singular and CoCoA) and those who are not interested in explicit machine computations at all. The first part of the book is primarily concerned with introducing Macaulay2, whereas the second part emphasizes the mathematics
15 editions published between 2001 and 2002 in English and held by 223 WorldCat member libraries worldwide
This book presents algorithmic tools for algebraic geometry and experimental applications of them. It also introduces a software system in which the tools have been implemented and with which the experiments can be carried out. Macaulay 2 is a computer algebra system devoted to supporting research in algebraic geometry, commutative algebra, and their applications. The reader of this book will encounter Macaulay 2 in the context of concrete applications and practical computations in algebraic geometry. The expositions of the algorithmic tools presented here are designed to serve as a useful guide for those wishing to bring such tools to bear on their own problems. These expositions will be valuable to both the users of other programs similar to Macaulay 2 (for example, Singular and CoCoA) and those who are not interested in explicit machine computations at all. The first part of the book is primarily concerned with introducing Macaulay2, whereas the second part emphasizes the mathematics
Computational algebraic geometry and commutative algebra : Cortona, 1991 by
David Eisenbud(
Book
)
13 editions published between 1991 and 1994 in English and Undetermined and held by 213 WorldCat member libraries worldwide
13 editions published between 1991 and 1994 in English and Undetermined and held by 213 WorldCat member libraries worldwide
Curves in projective space by
Joe Harris(
Book
)
12 editions published between 1982 and 1984 in English and French and held by 198 WorldCat member libraries worldwide
12 editions published between 1982 and 1984 in English and French and held by 198 WorldCat member libraries worldwide
Commutative algebra, algebraic geometry, and computational methods(
Book
)
11 editions published in 1999 in English and held by 185 WorldCat member libraries worldwide
"This volume contains papers presented at the International Conference on Commutative Algebra, Algebraic Geometry, and Computational Methods held in Hanoi in 1996, and papers written subsequently. It features both expository articles as well as research papers on a range of currently active areas in commutative algebra, algebraic geometry (particularly surveys on intersection theory) and combinatorics."Jacket
11 editions published in 1999 in English and held by 185 WorldCat member libraries worldwide
"This volume contains papers presented at the International Conference on Commutative Algebra, Algebraic Geometry, and Computational Methods held in Hanoi in 1996, and papers written subsequently. It features both expository articles as well as research papers on a range of currently active areas in commutative algebra, algebraic geometry (particularly surveys on intersection theory) and combinatorics."Jacket
Free resolutions in commutative algebra and algebraic geometry : Sundance 90(
Book
)
10 editions published in 1992 in English and Italian and held by 185 WorldCat member libraries worldwide
10 editions published in 1992 in English and Italian and held by 185 WorldCat member libraries worldwide
Hodge algebras by
Corrado De Concini(
Book
)
13 editions published in 1982 in 3 languages and held by 150 WorldCat member libraries worldwide
13 editions published in 1982 in 3 languages and held by 150 WorldCat member libraries worldwide
3264 and all that : a second course in algebraic geometry by
David Eisenbud(
Book
)
9 editions published in 2016 in English and held by 95 WorldCat member libraries worldwide
3264, the mathematical solution to a question concerning geometric figures
9 editions published in 2016 in English and held by 95 WorldCat member libraries worldwide
3264, the mathematical solution to a question concerning geometric figures
I want to be a mathematician : a conversation with Paul Halmos(
Visual
)
2 editions published in 2009 in English and held by 93 WorldCat member libraries worldwide
A 44minute interview with mathematician Paul Halmos that touches on the Moore Method, becoming a mathematician, great teachers, designing a course, writing, and the state of education in the United States. The interview conducted in 1999 by Peter Renz and George Csicsery was released by the Mathematical Association of America with support from the Educational Advancement Foundation
2 editions published in 2009 in English and held by 93 WorldCat member libraries worldwide
A 44minute interview with mathematician Paul Halmos that touches on the Moore Method, becoming a mathematician, great teachers, designing a course, writing, and the state of education in the United States. The interview conducted in 1999 by Peter Renz and George Csicsery was released by the Mathematical Association of America with support from the Educational Advancement Foundation
Minimal free resolutions over complete intersections by
David Eisenbud(
Book
)
12 editions published in 2016 in English and held by 86 WorldCat member libraries worldwide
This book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions of high syzygy modules over complete intersections. Such resolutions have attracted attention ever since the elegant construction of the minimal free resolution of the residue field by Tate in 1957. The theory extends the theory of matrix factorizations of a nonzero divisor, initiated by Eisenbud in 1980, which yields a description of the eventual structure of minimal free resolutions over a hypersurface ring. Matrix factorizations have had many other uses in a wide range of mathematical fields, from singularity theory to mathematical physics
12 editions published in 2016 in English and held by 86 WorldCat member libraries worldwide
This book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions of high syzygy modules over complete intersections. Such resolutions have attracted attention ever since the elegant construction of the minimal free resolution of the residue field by Tate in 1957. The theory extends the theory of matrix factorizations of a nonzero divisor, initiated by Eisenbud in 1980, which yields a description of the eventual structure of minimal free resolutions over a hypersurface ring. Matrix factorizations have had many other uses in a wide range of mathematical fields, from singularity theory to mathematical physics
Commutative algebra and noncommutative algebraic geometry(
Book
)
in English and held by 81 WorldCat member libraries worldwide
in English and held by 81 WorldCat member libraries worldwide
Algebraic geometry : Bowdoin 1985 by Summer Research Institute on Algebraic Geometry(
Book
)
3 editions published in 1987 in English and held by 49 WorldCat member libraries worldwide
3 editions published in 1987 in English and held by 49 WorldCat member libraries worldwide
Solving polynomial equations : foundations, algorithms, and applications by
Manuel Bronstein(
)
5 editions published in 2005 in English and held by 14 WorldCat member libraries worldwide
"This book provides a general introduction to modern mathematical aspects in computing with multivariate polynomials and in solving algebraic systems. It presents the stateoftheart in several symbolic, numeric, and symbolicnumeric techniques, including effective and algorithmic methods in algebraic geometry and computational algebra, complexity issues, and applications ranging from statistics and geometric modelling to robotics and vision."Publisher description
5 editions published in 2005 in English and held by 14 WorldCat member libraries worldwide
"This book provides a general introduction to modern mathematical aspects in computing with multivariate polynomials and in solving algebraic systems. It presents the stateoftheart in several symbolic, numeric, and symbolicnumeric techniques, including effective and algorithmic methods in algebraic geometry and computational algebra, complexity issues, and applications ranging from statistics and geometric modelling to robotics and vision."Publisher description
ThreeDimensional Link Theory and Invariants of Plane Curve Singularities. (AM110) by
David Eisenbud(
)
2 editions published in 2016 in English and held by 0 WorldCat member libraries worldwide
This book gives a new foundation for the theory of links in 3space modeled on the modern developmentby Jaco, Shalen, Johannson, Thurston et al. of the theory of 3manifolds. The basic construction is a method of obtaining any link by "splicing" links of the simplest kinds, namely those whose exteriors are Seifert fibered or hyperbolic. This approach to link theory is particularly attractive since most invariants of links are additive under splicing. Specially distinguished from this viewpoint is the class of links, none of whose splice components is hyperbolic. It includes all links constructed by cabling and connected sums, in particular all links of singularities of complex plane curves. One of the main contributions of this monograph is the calculation of invariants of these classes of links, such as the Alexander polynomials, monodromy, and Seifert forms
2 editions published in 2016 in English and held by 0 WorldCat member libraries worldwide
This book gives a new foundation for the theory of links in 3space modeled on the modern developmentby Jaco, Shalen, Johannson, Thurston et al. of the theory of 3manifolds. The basic construction is a method of obtaining any link by "splicing" links of the simplest kinds, namely those whose exteriors are Seifert fibered or hyperbolic. This approach to link theory is particularly attractive since most invariants of links are additive under splicing. Specially distinguished from this viewpoint is the class of links, none of whose splice components is hyperbolic. It includes all links constructed by cabling and connected sums, in particular all links of singularities of complex plane curves. One of the main contributions of this monograph is the calculation of invariants of these classes of links, such as the Alexander polynomials, monodromy, and Seifert forms
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Related Identities
 Harris, Joe 1951 Other Author
 Neumann, W. D. (Walter David) 1946 Other
 Vasconcelos, Wolmer V. Author
 Peeva, Irena
 Robbiano, Lorenzo Editor
 Huneke, C. (Craig) Other Editor
 Procesi, Claudio
 De Concini, Corrado Author
 Société mathématique de France
 Vogel, Wolfgang 1940 Editor
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Associated Subjects
Algebra Algebra, Homological AlgebraData processing Algorithms CaliforniaLos Gatos Categories (Mathematics) Combinatorial analysis Commutative algebra Commutative algebraData processing Commutative rings Curves, Algebraic Curves, Plane Education EquationsNumerical solutions Free resolutions (Algebra) Geometry, Algebraic Geometry, AlgebraicData processing Grassmann manifolds Gröbner bases Group schemes (Mathematics) Halmos, Paul R.(Paul Richard), Invariants Link theory Macaulay 2 Mathematical Association of America Mathematicians Mathematics Physics Polynomials Projective spaces Resolvents (Mathematics) Santa Clara College (Calif.) Schemes (Algebraic geometry) Singularities (Mathematics) Syzygies (Mathematics) United States
Alternative Names
David Eisenbud American mathematician
David Eisenbud Amerikaans wiskundige
David Eisenbud matemàtic estatunidenc
David Eisenbud matemático americano
David Eisenbud matemático estadounidense
David Eisenbud matematico statunitense
David Eisenbud mathématicien américain
David Eisenbud USamerikanischer Mathematiker
Eisenbud, D.
Eisenbud, D. 1947
Eisenbud, D. (David)
Eisenbud, D. (David), 1947
Eisenbud, David
Дэвид Эйзенбад американский математик
دیوید آیزنباد ریاضیدان آمریکایی
데이비드 아이젠버드
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