O'Shea, Donal
Overview
Works:  28 works in 200 publications in 9 languages and 4,756 library holdings 

Genres:  History 
Roles:  Author, Translator, Creator 
Classifications:  QA564, 516.35 
Publication Timeline
.
Most widely held works by
Donal O'Shea
Using algebraic geometry
by
David A Cox(
)
43 editions published between 1998 and 2006 in 4 languages and held by 1,517 WorldCat member libraries worldwide
"This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Grobner bases and resultants. In order to do this, the authors provide an introduction to some algebraic objects and techniques which are more advanced than one typically encounters in a first course, but nonetheless of great utility." "The book is written for nonspecialists and for readers with a diverse range of backgrounds. It assumes knowledge of the material covered in a standard undergraduate course in abstract algebra, and it would help to have some previous exposure to Grobner bases. The book does not assume the reader is familiar with more advanced concepts such as modules."Jacket
43 editions published between 1998 and 2006 in 4 languages and held by 1,517 WorldCat member libraries worldwide
"This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Grobner bases and resultants. In order to do this, the authors provide an introduction to some algebraic objects and techniques which are more advanced than one typically encounters in a first course, but nonetheless of great utility." "The book is written for nonspecialists and for readers with a diverse range of backgrounds. It assumes knowledge of the material covered in a standard undergraduate course in abstract algebra, and it would help to have some previous exposure to Grobner bases. The book does not assume the reader is familiar with more advanced concepts such as modules."Jacket
Ideals, varieties, and algorithms : an introduction to computational algebraic geometry and commutative algebra
by
David A Cox(
Book
)
75 editions published between 1991 and 2012 in 4 languages and held by 1,431 WorldCat member libraries worldwide
"The solutions of a system of polynomial equations form a geometric object called a variety; the corresponding algebraic object is an ideal. There is a close relationship between ideals and varieties which reveals the intimate link between algebra and geometry. Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory."Jacket
75 editions published between 1991 and 2012 in 4 languages and held by 1,431 WorldCat member libraries worldwide
"The solutions of a system of polynomial equations form a geometric object called a variety; the corresponding algebraic object is an ideal. There is a close relationship between ideals and varieties which reveals the intimate link between algebra and geometry. Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory."Jacket
The Poincaré conjecture : in search of the shape of the universe
by
Donal O'Shea(
Book
)
34 editions published between 2007 and 2012 in 8 languages and held by 1,272 WorldCat member libraries worldwide
Conceived in 1904, the Poincaré conjecture, a puzzle that speaks to the possible shape of the universe and lies at the heart of modern topology and geometry, has resisted attempts by generations of mathematicians to prove or to disprove it. Despite a milliondollar prize for a solution, Russian mathematician Grigory Perelman, posted his solution on the Internet instead of publishing it in a peerreviewed journal. This book "tells the story of the fascinating personalities, institutions, and scholarship behind the centuries of mathematics that have led to Perelman's dramatic proof." The author also chronicles dramatic events at the 2006 International Congress of Mathematicians in Madrid, where Perelman was awarded a Fields Medal for his solution, which he declined
34 editions published between 2007 and 2012 in 8 languages and held by 1,272 WorldCat member libraries worldwide
Conceived in 1904, the Poincaré conjecture, a puzzle that speaks to the possible shape of the universe and lies at the heart of modern topology and geometry, has resisted attempts by generations of mathematicians to prove or to disprove it. Despite a milliondollar prize for a solution, Russian mathematician Grigory Perelman, posted his solution on the Internet instead of publishing it in a peerreviewed journal. This book "tells the story of the fascinating personalities, institutions, and scholarship behind the centuries of mathematics that have led to Perelman's dramatic proof." The author also chronicles dramatic events at the 2006 International Congress of Mathematicians in Madrid, where Perelman was awarded a Fields Medal for his solution, which he declined
Ideals, varieties, and algorithms : an introduction to computational algebraic geometry and commutative algebra : with 91 illustrations
by
David A Cox(
Book
)
4 editions published between 1997 and 2005 in English and held by 294 WorldCat member libraries worldwide
"Algebraic geometry is the study of systems of polynomial equations in one or more variables, asking such questions as: Does the system have finitely many solutions, and if so how can one find them? And if there are infinitely many solutions, how can they be described and manipulated?" "The solutions of a system of polynomial equations form a geometric object called a variety; the corresponding algebraic object is an ideal. There is a close relationship between ideals and varieties which reveals the intimate link between algebra and geometry. Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory." "The algorithms to answer questions such as those posed above are an important part of algebraic geometry. This book bases its discussion of algorithms on a generalization of the division algorithm for polynomials in one variable that was only discovered in the 1960s. Although the algorithmic roots of algebraic geometry are old, the computational aspects were neglected earlier in this century. This has changed in recent years, and new algorithms, coupled with the power of fast computers, have led to some interesting applications  for example, in robotics and in geometric theorem proving."Jacket
4 editions published between 1997 and 2005 in English and held by 294 WorldCat member libraries worldwide
"Algebraic geometry is the study of systems of polynomial equations in one or more variables, asking such questions as: Does the system have finitely many solutions, and if so how can one find them? And if there are infinitely many solutions, how can they be described and manipulated?" "The solutions of a system of polynomial equations form a geometric object called a variety; the corresponding algebraic object is an ideal. There is a close relationship between ideals and varieties which reveals the intimate link between algebra and geometry. Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory." "The algorithms to answer questions such as those posed above are an important part of algebraic geometry. This book bases its discussion of algorithms on a generalization of the division algorithm for polynomials in one variable that was only discovered in the 1960s. Although the algorithmic roots of algebraic geometry are old, the computational aspects were neglected earlier in this century. This has changed in recent years, and new algorithms, coupled with the power of fast computers, have led to some interesting applications  for example, in robotics and in geometric theorem proving."Jacket
An exposition of catastrophe theory and its applications to phase transitions
by
Donal O'Shea(
Book
)
4 editions published in 1977 in English and held by 172 WorldCat member libraries worldwide
4 editions published in 1977 in English and held by 172 WorldCat member libraries worldwide
Programming for mathematicians
by
Raymond Seroul(
Book
)
3 editions published in 2000 in English and held by 12 WorldCat member libraries worldwide
"The aim of this book is to teach mathematics students how to program using their knowledge of mathematics. For this they require only to know how to construct a proof. The entire book's emphasis is on "how to think" when programming. Three methods for constructing an algorithm or a program are used: a) manipulation and enrichment of existing code; b) use of recurrent sequences; c) deferral of code writing, in order to deal with one difficulty at a time. Many theorems are mathematically proved and programmed. The last chapter explains how a compiler works and shows how to compile "by hand" little (but not trivial  even recursive) programs. The book is intended for anyone who thinks mathematically and wants to program and play with mathematics."Jacket
3 editions published in 2000 in English and held by 12 WorldCat member libraries worldwide
"The aim of this book is to teach mathematics students how to program using their knowledge of mathematics. For this they require only to know how to construct a proof. The entire book's emphasis is on "how to think" when programming. Three methods for constructing an algorithm or a program are used: a) manipulation and enrichment of existing code; b) use of recurrent sequences; c) deferral of code writing, in order to deal with one difficulty at a time. Many theorems are mathematically proved and programmed. The last chapter explains how a compiler works and shows how to compile "by hand" little (but not trivial  even recursive) programs. The book is intended for anyone who thinks mathematically and wants to program and play with mathematics."Jacket
An introduction to dynamical systems and mathematical modelling
by
Donal O'Shea(
Book
)
1 edition published in 1992 in English and held by 10 WorldCat member libraries worldwide
1 edition published in 1992 in English and held by 10 WorldCat member libraries worldwide
Ideals, Varieties, and Algorithms
by
David A Cox(
Book
)
5 editions published between 1992 and 2007 in English and Japanese and held by 10 WorldCat member libraries worldwide
5 editions published between 1992 and 2007 in English and Japanese and held by 10 WorldCat member libraries worldwide
Interim report of The Task Force on the Eastern Regional Health Authority
(
Book
)
2 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide
Gurebunā kitei
(
Book
)
3 editions published in 2000 in Japanese and held by 4 WorldCat member libraries worldwide
3 editions published in 2000 in Japanese and held by 4 WorldCat member libraries worldwide
Gastrointestinal endocrine tumours
(
Book
)
3 editions published in 1996 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1996 in English and held by 4 WorldCat member libraries worldwide
Poankare yosō
by
Donal O'Shea(
Book
)
2 editions published in 2014 in Japanese and held by 3 WorldCat member libraries worldwide
2 editions published in 2014 in Japanese and held by 3 WorldCat member libraries worldwide
Gurebuna kitei to daisū tayōtai nyūmon : idearu tayōtai arugorizumu
(
Book
)
3 editions published in 2000 in Japanese and held by 3 WorldCat member libraries worldwide
3 editions published in 2000 in Japanese and held by 3 WorldCat member libraries worldwide
Gurebuna kitei to daisū tayōtai nyūmon : idearu tayōtai arugorizumu
(
Book
)
3 editions published in 2000 in Japanese and held by 3 WorldCat member libraries worldwide
3 editions published in 2000 in Japanese and held by 3 WorldCat member libraries worldwide
Elements of modern optical design
by
Donald C O'Shea(
Book
)
1 edition published in 1985 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1985 in English and held by 2 WorldCat member libraries worldwide
Gurebunā kitei : daisū kika to kakan daisū ni okeru gurebunā kitei no yūkōsei
(
Book
)
2 editions published in 2000 in Japanese and held by 2 WorldCat member libraries worldwide
2 editions published in 2000 in Japanese and held by 2 WorldCat member libraries worldwide
Gurebunā kitei
(
Book
)
1 edition published in 2000 in Japanese and held by 2 WorldCat member libraries worldwide
1 edition published in 2000 in Japanese and held by 2 WorldCat member libraries worldwide
Idealy, mnogoobrazii︠a︡ i algoritmy : vvedenie v vychislitelʹnye aspekty algebraicheskoĭ geometrii i kommutativnoĭ algebry
by
David A Cox(
Book
)
1 edition published in 2000 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 2000 in Russian and held by 1 WorldCat member library worldwide
Gurebuna kitei to daisū tayōtai nyūmon : idearu tayōtai arugorizumu 1
(
Book
)
1 edition published in 2012 in Japanese and held by 1 WorldCat member library worldwide
1 edition published in 2012 in Japanese and held by 1 WorldCat member library worldwide
Calculus in context : the Five College Calculus Project
(
Book
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
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Audience Level
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Related Identities
 Little, John B. Author Creator
 Cox, David A. Author
 Poincaré, Henri 18541912
 Perelman, Grigori 1966
 Cox, David Author
 RandonFurling, Julien Translator
 Cox, David R. Author
 SpringerLink (Online service)
 Séroul, Raymond Author
 日比, 孝之 1956
Associated Subjects
Algebra AlgebraData processing Algebraic topology Algorithms Calculus Carcinoid Catastrophes (Mathematics) Commutative algebraData processing Computer programming Computer science Computer scienceMathematics Computer software Differential topology Endocrine glandsTumors Geometry, Algebraic Geometry, AlgebraicData processing Health care reform International Congress of Mathematicians Ireland Logic, Symbolic and mathematical Mathematical models Mathematicians Mathematics MathematicsAwards MathematicsData processing Optical instrumentsDesign and construction Phase transformations (Statistical physics) Poincaré, Henri, Poincaré conjecture Programming (Mathematics) Shape theory (Topology) System analysis Threemanifolds (Topology) ZollingerEllison syndrome