WorldCat Identities

O'Shea, Donal

Overview
Works: 22 works in 244 publications in 10 languages and 5,427 library holdings
Genres: History 
Roles: Author, Translator, Editor, Other
Classifications: QA564, 516.35
Publication Timeline
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Most widely held works by Donal O'Shea
Ideals, varieties, and algorithms : an introduction to computational algebraic geometry and commutative algebra by David A Cox( Book )

101 editions published between 1991 and 2015 in 4 languages and held by 1,460 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
The Poincaré conjecture : in search of the shape of the universe by Donal O'Shea( Book )

47 editions published between 2007 and 2014 in 8 languages and held by 1,266 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 million-dollar prize for a solution, Russian mathematician Grigory Perelman, posted his solution on the Internet instead of publishing it in a peer-reviewed 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
Using algebraic geometry by David A Cox( Book )

46 editions published between 1998 and 2013 in 4 languages and held by 942 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
Programming for mathematicians by Raymond Seroul( Book )

6 editions published in 2000 in English and held by 264 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 exposition of catastrophe theory and its applications to phase transitions by Donal O'Shea( Book )

1 edition published in 1977 in English and held by 162 WorldCat member libraries worldwide

Ideals, Varieties, and Algorithms : an Introduction to Computational Algebraic Geometry and Commutative Algebra by David Cox( )

5 editions published in 2007 in English and held by 36 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. Although the algorithmic roots of algebraic geometry are old, it is only in the last forty years that computational methods have regained their earlier prominence. New algorithms, coupled with the power of fast computers, have led to both theoretical advances and interesting applications, for example in robotics and in geometric theorem proving. In addition to enhancing the text of the second edition, with over 200 pages reflecting changes to enhance clarity and correctness, this third edition of Ideals, Varieties and Algorithms includes: A significantly updated section on Maple in Appendix C Updated information on AXIOM, CoCoA, Macaulay 2, Magma, Mathematica and SINGULAR A shorter proof of the Extension Theorem presented in Section 6 of Chapter 3 From the 2nd Edition: "I consider the book to be wonderful. ... The exposition is very clear, there are many helpful pictures, and there are a great many instructive exercises, some quite challenging ... offers the heart and soul of modern commutative and algebraic geometry." -The American Mathematical Monthly
Gastrointestinal endocrine tumours( Book )

4 editions published in 1996 in English and held by 29 WorldCat member libraries worldwide

Gurebuna kitei : Daisu kika to kakan daisu ni okeru gurebuna kitei no yukosei( Book )

7 editions published between 2000 and 2012 in Japanese and held by 9 WorldCat member libraries worldwide

An introduction to dynamical systems and mathematical modelling by Donal O'Shea( Book )

1 edition published in 1992 in English and held by 9 WorldCat member libraries worldwide

Gurebuna kitei to daisū tayōtai nyūmon( Book )

5 editions published between 2000 and 2012 in Japanese and held by 5 WorldCat member libraries worldwide

Gurebuna kitei to daisū tayōtai nyūmon( Book )

4 editions published between 2000 and 2012 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

Ideals, Varieties, and Algorithms by David A Cox( Book )

1 edition published in 2007 in English and held by 3 WorldCat member libraries worldwide

On [mu]-equivalent families of singularities by Donal O'Shea( Book )

2 editions published between 1980 and 1982 in English and held by 2 WorldCat member libraries worldwide

Gurebunā kitei : daisū kika to kakan daisū ni okeru Gurebunā kitei no yūkōsei by David A Cox( Book )

1 edition published in 2000 in Japanese and held by 2 WorldCat member libraries worldwide

Idealy, mnogoobraziâ i algoritmy : vvedenie v vyčislitel'nye aspekty algebraičeskoj geometrii i kommutativnoj algebry by David A Cox( Book )

2 editions published in 2000 in Russian and held by 2 WorldCat member libraries worldwide

Ideals, varieties, and algorithms : an introduction to computational algebraic geometry and commutative algebra : with 91 illustrations by David A Cox( Book )

2 editions published between 1997 and 2004 in English and held by 1 WorldCat member library worldwide

Gastrointestinal endocrine tumours( )

1 edition published in 1997 in English and held by 1 WorldCat member library worldwide

Gurebuna kitei to daisū tayōtai nyūmon : idearu, tayōtai, arugorizumu by David A Cox( Book )

1 edition published in 2000 in Japanese and held by 1 WorldCat member library worldwide

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1 edition published in 2007 in Korean and held by 1 WorldCat member library worldwide

 
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The Poincaré conjecture : in search of the shape of the universe
Alternative Names
Donal O'Shea Canadees wiskundige

Donal O'Shea Canadian mathematician

Donal O'Shea canadisk matematiker

Donal O'Shea kanadensisk matematiker

Donal O'Shea kanadisch-US-amerikanischer Mathematiker

Donal O'Shea kanadisk matematikar

Donal O'Shea kanadisk matematiker

Donal O'Shea matematico canadese

O’Shea, D. (Donal)

O'Shea, D.

O'Shea, D. 1952-

O'Shea, D. B.

O'Shea, D. (Donal)

O'Shea, Donal B.

O'Shea, Donal Bartholomew 1952-

O'Shea, Donald B.

O'Ši, D.

א'ושי, דונל

오셔, 도널

オシー, D

オシア, ドナル

Languages
Covers
The Poincaré conjecture : in search of the shape of the universeUsing algebraic geometryProgramming for mathematiciansIdeals, Varieties, and AlgorithmsIdeals, varieties, and algorithms : an introduction to computational algebraic geometry and commutative algebra : with 91 illustrations