Eisenbud, David
Overview
Works:  65 works in 275 publications in 5 languages and 5,203 library holdings 

Genres:  Conference proceedings Interviews 
Roles:  Author, Editor, Contributor 
Classifications:  QA564, 516.35 
Publication Timeline
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Most widely held works about
David Eisenbud
 Halmos, Paul R., Documentary Film Source Materials collection by Paul R Halmos Paul R Halmos( )
Most widely held works by
David Eisenbud
The geometry of schemes
by
David Eisenbud(
)
31 editions published between 1999 and 2010 in English and Italian and held by 1,014 WorldCat member libraries worldwide
The theory of schemes is the foundation for algebraic geometry proposed and elaborated by Alexander Grothendieck and his coworkers. It has allowed major progress in classical areas of algebraic geometry such as invariant theory and the moduli of curves. It integrates algebraic number theory with algebraic geometry, fulfilling the dreams of earlier generations of number theorists. This integration has led to proofs of some of the major conjectures in number theory (Deligne's proof of the Weil Conjectures, Faltings proof of the Mordell Conjecture). 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 is 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
31 editions published between 1999 and 2010 in English and Italian and held by 1,014 WorldCat member libraries worldwide
The theory of schemes is the foundation for algebraic geometry proposed and elaborated by Alexander Grothendieck and his coworkers. It has allowed major progress in classical areas of algebraic geometry such as invariant theory and the moduli of curves. It integrates algebraic number theory with algebraic geometry, fulfilling the dreams of earlier generations of number theorists. This integration has led to proofs of some of the major conjectures in number theory (Deligne's proof of the Weil Conjectures, Faltings proof of the Mordell Conjecture). 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 is 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
Commutative algebra with a view toward algebraic geometry
by
David Eisenbud(
Book
)
38 editions published between 1989 and 2008 in 3 languages and held by 790 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
38 editions published between 1989 and 2008 in 3 languages and held by 790 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(
)
19 editions published in 2005 in English and held by 745 WorldCat member libraries worldwide
"This book is the first textbooklevel account of syzygies as they are used in algebraic geometry. It includes geometric examples ranging from interpolation to canonical curves. The text has served as the basis for graduate courses at Berkeley, Brandeis, and in Paris. It is also suitable for selfstudy by a reader who knows a little commutative algebra and algebraic geometry. As aids to the reader, one appendix gives an introduction to local cohomology and another provides a summary of commutative algebra, tying together examples and major results from a wide range of topics."Jacket
19 editions published in 2005 in English and held by 745 WorldCat member libraries worldwide
"This book is the first textbooklevel account of syzygies as they are used in algebraic geometry. It includes geometric examples ranging from interpolation to canonical curves. The text has served as the basis for graduate courses at Berkeley, Brandeis, and in Paris. It is also suitable for selfstudy by a reader who knows a little commutative algebra and algebraic geometry. As aids to the reader, one appendix gives an introduction to local cohomology and another provides a summary of commutative algebra, tying together examples and major results from a wide range of topics."Jacket
Threedimensional link theory and invariants of plane curve singularities
by
David Eisenbud(
Book
)
9 editions published in 1985 in English and held by 414 WorldCat member libraries worldwide
9 editions published in 1985 in English and held by 414 WorldCat member libraries worldwide
Schemes : the language of modern algebraic geometry
by
David Eisenbud(
Book
)
9 editions published between 1991 and 1999 in English and held by 354 WorldCat member libraries worldwide
9 editions published between 1991 and 1999 in English and held by 354 WorldCat member libraries worldwide
Computational methods in commutative algebra and algebraic geometry
by
Wolmer V Vasconcelos(
Book
)
13 editions published between 1997 and 2004 in English and held by 287 WorldCat member libraries worldwide
13 editions published between 1997 and 2004 in English and held by 287 WorldCat member libraries worldwide
Computations in algebraic geometry with Macaulay 2
by
David Eisenbud(
Book
)
13 editions published between 2001 and 2002 in English and held by 242 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
13 editions published between 2001 and 2002 in English and held by 242 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
)
12 editions published between 1991 and 1994 in English and Undetermined and held by 201 WorldCat member libraries worldwide
12 editions published between 1991 and 1994 in English and Undetermined and held by 201 WorldCat member libraries worldwide
Curves in projective space
by
Joe Harris(
Book
)
10 editions published in 1982 in English and French and held by 189 WorldCat member libraries worldwide
10 editions published in 1982 in English and French and held by 189 WorldCat member libraries worldwide
Commutative algebra, algebraic geometry, and computational methods
(
Book
)
9 editions published in 1999 in English and held by 182 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
9 editions published in 1999 in English and held by 182 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
)
9 editions published in 1992 in English and Italian and held by 177 WorldCat member libraries worldwide
9 editions published in 1992 in English and Italian and held by 177 WorldCat member libraries worldwide
Hodge algebras
by
Corrado De Concini(
Book
)
12 editions published in 1982 in 3 languages and held by 145 WorldCat member libraries worldwide
12 editions published in 1982 in 3 languages and held by 145 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
by
David Eisenbud(
Book
)
9 editions published between 1980 and 1982 in English and held by 71 WorldCat member libraries worldwide
9 editions published between 1980 and 1982 in English and held by 71 WorldCat member libraries worldwide
Solving polynomial equations foundations, algorithms, and applications
by
Manuel Bronstein(
)
5 editions published in 2005 in English and held by 45 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." "Graduate students, as well as researchers in related areas, will find an excellent introduction to currently interesting topics. These cover Groebner and border bases, multivariate resultants residues, primary decomposition, multivariate polynomial factorization, homotopy continuation, complexity issues, and their applications."Jacket
5 editions published in 2005 in English and held by 45 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." "Graduate students, as well as researchers in related areas, will find an excellent introduction to currently interesting topics. These cover Groebner and border bases, multivariate resultants residues, primary decomposition, multivariate polynomial factorization, homotopy continuation, complexity issues, and their applications."Jacket
Commutative algebra expository papers dedicated to David Eisenbud on the occasion of his 65th birthday
by
Irena Peeva(
Book
)
2 editions published in 2013 in English and held by 26 WorldCat member libraries worldwide
This contributed volume brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also relations to Algebraic Geometry, Algebraic Combinatorics, Hyperplane Arrangements, Homological Algebra, and String Theory. The book aims to showcase the area, especially for the benefit of junior mathematicians and researchers who are new to the field; it will aid them in broadening their background and to gain a deeper unders
2 editions published in 2013 in English and held by 26 WorldCat member libraries worldwide
This contributed volume brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also relations to Algebraic Geometry, Algebraic Combinatorics, Hyperplane Arrangements, Homological Algebra, and String Theory. The book aims to showcase the area, especially for the benefit of junior mathematicians and researchers who are new to the field; it will aid them in broadening their background and to gain a deeper unders
Algebraic geometry
(
Book
)
1 edition published in 1987 in English and held by 24 WorldCat member libraries worldwide
1 edition published in 1987 in English and held by 24 WorldCat member libraries worldwide
Algebraic geometry
(
Book
)
1 edition published in 1987 in English and held by 22 WorldCat member libraries worldwide
1 edition published in 1987 in English and held by 22 WorldCat member libraries worldwide
Seminar D. EisenbudB. SinghW. Vogel
by
David Eisenbud(
Book
)
4 editions published in 1982 in English and held by 18 WorldCat member libraries worldwide
4 editions published in 1982 in English and held by 18 WorldCat member libraries worldwide
Computability of Julia sets
by
Mark Braverman(
)
1 edition published in 2009 in English and held by 16 WorldCat member libraries worldwide
Among all computergenerated mathematical images, Julia sets of rational maps occupy one of the most prominent positions. This book summarizes the knowledge about the computational properties of Julia sets in a selfcontained way. It is suitable for experts and students with interest in theoretical computer science or dynamical systems
1 edition published in 2009 in English and held by 16 WorldCat member libraries worldwide
Among all computergenerated mathematical images, Julia sets of rational maps occupy one of the most prominent positions. This book summarizes the knowledge about the computational properties of Julia sets in a selfcontained way. It is suitable for experts and students with interest in theoretical computer science or dynamical systems
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Algebra AlgebraData processing Algorithms CaliforniaLos Gatos Combinatorial analysis Commutative algebra Commutative algebraData processing Commutative rings Computer science Computer software Curves, Algebraic Curves, Plane EquationsNumerical solutions Free resolutions (Algebra) Geometry, Algebraic Geometry, AlgebraicData processing Grassmann manifolds Gröbner bases Group schemes (Mathematics) Halmos, Paul R.(Paul Richard), Information theory Invariants Link theory Macaulay 2 Mathematical Association of America Mathematicians Mathematics Polynomials Projective spaces Rings (Algebra) Santa Clara College (Calif.) Schemes (Algebraic geometry) Singularities (Mathematics) Syzygies (Mathematics) United States