Eisenbud, David
Overview
Works:  91 works in 387 publications in 5 languages and 6,374 library holdings 

Genres:  Conference papers and proceedings Documentary films Textbooks Interviews Biographical films Nonfiction films 
Roles:  Author, Editor, Contributor, Other, htt, Creator 
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
The geometry of schemes by
David Eisenbud(
)
31 editions published between 1999 and 2009 in English and Italian and held by 963 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
31 editions published between 1999 and 2009 in English and Italian and held by 963 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
Commutative algebra with a view toward algebraic geometry by
David Eisenbud(
Book
)
51 editions published between 1994 and 2013 in 3 languages and held by 850 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
51 editions published between 1994 and 2013 in 3 languages and held by 850 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 syzygies : a second course in commutative algebra and algebraic geometry by
David Eisenbud(
)
22 editions published between 2005 and 2006 in English and Undetermined and held by 783 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
22 editions published between 2005 and 2006 in English and Undetermined and held by 783 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
Threedimensional link theory and invariants of plane curve singularities by
David Eisenbud(
Book
)
14 editions published between 1985 and 1986 in English and held by 559 WorldCat member libraries worldwide
14 editions published between 1985 and 1986 in English and held by 559 WorldCat member libraries worldwide
Schemes : the language of modern algebraic geometry by
David Eisenbud(
Book
)
11 editions published in 1992 in English and held by 347 WorldCat member libraries worldwide
11 editions published in 1992 in English and held by 347 WorldCat member libraries worldwide
Minimal free resolutions over complete intersections by
David Eisenbud(
)
13 editions published in 2016 in English and held by 326 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
13 editions published in 2016 in English and held by 326 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
Computations in algebraic geometry with Macaulay 2 by
David Eisenbud(
Book
)
16 editions published between 2001 and 2011 in English and held by 317 WorldCat member libraries worldwide
Systems of polynomial equations arise throughout mathematics, science, and engineering. Algebraic geometry provides powerful theoretical techniques for studying the qualitative and quantitative features of their solution sets. Re cently developed algorithms have made theoretical aspects of the subject accessible to a broad range of mathematicians and scientists. The algorith mic approach to the subject has two principal aims: developing new tools for research within mathematics, and providing new tools for modeling and solv ing problems that arise in the sciences and engineering. A healthy synergy emerges, as new theorems yield new algorithms and emerging applications lead to new theoretical questions. This book presents algorithmic tools for algebraic geometry and experi mental 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. A wide range of mathematical scientists should find these expositions valuable. This includes 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
16 editions published between 2001 and 2011 in English and held by 317 WorldCat member libraries worldwide
Systems of polynomial equations arise throughout mathematics, science, and engineering. Algebraic geometry provides powerful theoretical techniques for studying the qualitative and quantitative features of their solution sets. Re cently developed algorithms have made theoretical aspects of the subject accessible to a broad range of mathematicians and scientists. The algorith mic approach to the subject has two principal aims: developing new tools for research within mathematics, and providing new tools for modeling and solv ing problems that arise in the sciences and engineering. A healthy synergy emerges, as new theorems yield new algorithms and emerging applications lead to new theoretical questions. This book presents algorithmic tools for algebraic geometry and experi mental 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. A wide range of mathematical scientists should find these expositions valuable. This includes 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
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 294 WorldCat member libraries worldwide
This ACM volume in computational algebra deals with methods and techniques to tackle problems that can be represented by data structures which are essentially matrices with polynomial entries, mediated by the disciplines of commutative algebra and algebraic geometry. It relates discoveries by a growing, interdisciplinary, group of researchers in the past decade. It highlights the use of advanced techniques to bring down the cost of computation. The book includes concrete algorithms written in Macaulay 2. It is intended for advanced students and researchers with interests both in algebra and computation. Many parts of it can be read by anyone with a basic abstract algebra course
15 editions published between 1997 and 2004 in English and held by 294 WorldCat member libraries worldwide
This ACM volume in computational algebra deals with methods and techniques to tackle problems that can be represented by data structures which are essentially matrices with polynomial entries, mediated by the disciplines of commutative algebra and algebraic geometry. It relates discoveries by a growing, interdisciplinary, group of researchers in the past decade. It highlights the use of advanced techniques to bring down the cost of computation. The book includes concrete algorithms written in Macaulay 2. It is intended for advanced students and researchers with interests both in algebra and computation. Many parts of it can be read by anyone with a basic abstract algebra course
Computational algebraic geometry and commutative algebra : Cortona, 1991 by
David Eisenbud(
Book
)
15 editions published between 1991 and 1994 in English and Undetermined and held by 221 WorldCat member libraries worldwide
15 editions published between 1991 and 1994 in English and Undetermined and held by 221 WorldCat member libraries worldwide
Curves in projective space by
Joe Harris(
Book
)
11 editions published between 1982 and 1984 in English and French and held by 194 WorldCat member libraries worldwide
11 editions published between 1982 and 1984 in English and French and held by 194 WorldCat member libraries worldwide
Commutative algebra, algebraic geometry, and computational methods(
Book
)
11 editions published in 1999 in English and held by 194 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 194 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 182 WorldCat member libraries worldwide
10 editions published in 1992 in English and Italian and held by 182 WorldCat member libraries worldwide
3264 and all that : a second course in algebraic geometry by
David Eisenbud(
Book
)
11 editions published in 2016 in English and held by 178 WorldCat member libraries worldwide
3264, the mathematical solution to a question concerning geometric figures
11 editions published in 2016 in English and held by 178 WorldCat member libraries worldwide
3264, the mathematical solution to a question concerning geometric figures
Hodge algebras by
Corrado de Concini(
Book
)
14 editions published in 1982 in 3 languages and held by 165 WorldCat member libraries worldwide
14 editions published in 1982 in 3 languages and held by 165 WorldCat member libraries worldwide
ThreeDimensional Link Theory and Invariants of Plane Curve Singularities. (AM110) by
David Eisenbud(
)
4 editions published between 1985 and 2016 in English and held by 111 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
4 editions published between 1985 and 2016 in English and held by 111 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
Commutative algebra and noncommutative algebraic geometry(
Book
)
3 editions published in 2015 in English and held by 104 WorldCat member libraries worldwide
3 editions published in 2015 in English and held by 104 WorldCat member libraries worldwide
I want to be a mathematician : a conversation with Paul Halmos(
Visual
)
2 editions published in 2009 in English and held by 89 WorldCat member libraries worldwide
In this interview, Paul Halmos, talks about his thoughts on mathematics, how to teach mathematics and also how to write about it
2 editions published in 2009 in English and held by 89 WorldCat member libraries worldwide
In this interview, Paul Halmos, talks about his thoughts on mathematics, how to teach mathematics and also how to write about it
Seminar D. Eisenbud/B. Singh/W. Vogel(
Book
)
in English and German and held by 61 WorldCat member libraries worldwide
in English and German and held by 61 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 57 WorldCat member libraries worldwide
3 editions published in 1987 in English and held by 57 WorldCat member libraries worldwide
Seminar D. Eisenbud, B. Singh, W. Vogel by
B. Singh, W. Vogel Seminar D. Eisenbud(
Book
)
10 editions published in 1982 in 3 languages and held by 43 WorldCat member libraries worldwide
10 editions published in 1982 in 3 languages and held by 43 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Harris, Joe 1951 Other Author
 Neumann, W. D. (Walter David) 1946 Other
 Peeva, Irena
 Vasconcelos, Wolmer V. Author
 Robbiano, Lorenzo Editor
 Huneke, C. (Craig) Other Editor
 Procesi, Claudio
 De Concini, Corrado Author
 Vogel, Wolfgang 1940 Other Editor
 Singh, B. (Balwant) 1940 Other Editor
Useful Links
Associated Subjects
Algebra Algebra, Homological AlgebraData processing CaliforniaLos Gatos Categories (Mathematics) Combinatorial analysis Commutative algebra Commutative algebraData processing Commutative rings Computer software Curves, Algebraic Curves, Plane Education 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 Noncommutative differential geometry Physics Projective spaces Resolvents (Mathematics) Rings (Algebra) Santa Clara College (Calif.) Schemes (Algebraic geometry) Singularities (Mathematics) Syzygies (Mathematics) United States
Covers
Alternative Names
David Eisenbud American mathematician
David Eisenbud Amerikaans wiskundige
David Eisenbud matemàtic estatunidenc
David Eisenbud matematician american
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
Eisenbund David
Дэвид Эйзенбад американский математик
ديفيد ايزينبد رياضياتي أمريكي
دیوید آیزنباد ریاضیدان آمریکایی
데이비드 아이젠버드
大卫·艾森布德
Languages