O'Shea, DonalOverview
Most widely held works by
Donal O'Shea
Using algebraic geometry
by David A Cox
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Book
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38 editions published between 1998 and 2006 in 3 languages and held by 1,412 WorldCat member libraries worldwide "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
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Book
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65 editions published between 1991 and 2012 in 3 languages and held by 1,367 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
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Book
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14 editions published between 2007 and 2008 in English and held by 1,150 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
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Book
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4 editions published between 1997 and 2005 in English and held by 292 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."BOOK JACKET
An exposition of catastrophe theory and its applications to phase transitions
by Donal O'Shea
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Book
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4 editions published in 1977 in English and held by 178 WorldCat member libraries worldwide
Poincarés Vermutung : die Geschichte eines mathematischen Abenteuers
by Donal O'Shea
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Book
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6 editions published between 2007 and 2009 in German and Italian and held by 56 WorldCat member libraries worldwide
Grigori Perelman face à la conjecture de Poincaré
by Donal O'Shea
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Book
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4 editions published in 2007 in French and held by 52 WorldCat member libraries worldwide
La conjetura de Poincaré en busca de la forma del universo
by Donal O'Shea
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Book
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3 editions published in 2008 in Spanish and held by 13 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
Programming for mathematicians
by Raymond Seroul
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Book
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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."BOOK JACKET
An introduction to dynamical systems and mathematical modelling
by Donal O'Shea
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Book
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1 edition published in 1992 in English and held by 9 WorldCat member libraries worldwide
Ideals, Varieties, and Algorithms
by David A Cox
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Book
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4 editions published between 1992 and 2007 in English and held by 7 WorldCat member libraries worldwide
Gastrointestinal endocrine tumours
(
Book
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4 editions published between 1996 and 1997 in English and held by 7 WorldCat member libraries worldwide
Gurebunā kitei : daisū kika to kakan daisū ni okeru Gurebunā kitei no yūkōsei
by David A Cox
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Book
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3 editions published in 2000 in Japanese and held by 5 WorldCat member libraries worldwide
Gurebunā kitei
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Book
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4 editions published between 2000 and 2012 in Japanese and held by 4 WorldCat member libraries worldwide
Interim report of The Task Force on the Eastern Regional Health Authority
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Book
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2 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide
Giả thuyết poincaré : cuộc tìm kiếm dạng vũ trụ
by Donal O'Shea
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Book
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1 edition published in 2012 in Vietnamese and held by 2 WorldCat member libraries worldwide
Poankare yosō o toita sūgakusha = The Poincare conjecture
(
Book
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1 edition published in 2007 in Japanese and held by 2 WorldCat member libraries worldwide
Poincarého domněnka : hledání tvaru vesmíru
by Donal O'Shea
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Book
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2 editions published in 2009 in Czech and held by 2 WorldCat member libraries worldwide
Gurebuna kitei to daisū tayōtai nyūmon : idearu, tayōtai, arugorizumu
by David A Cox
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Book
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1 edition published in 2000 in Japanese and held by 2 WorldCat member libraries worldwide
Gurebuna kitei to daisū tayōtai nyūmon
(
Book
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2 editions published in 2000 in Japanese and held by 2 WorldCat member libraries worldwide more
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Associated Subjects
Algebra AlgebraData processing Algebraic topology Algorithms 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 Phase transformations (Statistical physics) Poincaré, Henri, Poincaré conjecture Programming (Mathematics) Shape theory (Topology) System analysis Threemanifolds (Topology) ZollingerEllison syndrome

Alternative Names
O'Shea, D. 1952
O'Shea, D. B.
O'Shea, D. (Donal)
O'Shea, Donal Bartholomew, 1952
O'Shea, Donald B.
O'Ši, D.
オシー, D
オシア, ドナル
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