Ore, Øystein 18991968
Overview
Works:  183 works in 688 publications in 9 languages and 13,437 library holdings 

Genres:  History Biography Bibliography Manuscripts 
Roles:  Author, Editor, Author of introduction, Other, Interviewee 
Publication Timeline
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Most widely held works about
Øystein Ore
 A proof of Ore's theorem : a thesis by Linda Charlene Graham Madison( )
 Oystein Ore( )
Most widely held works by
Øystein Ore
Graphs and their uses by
Øystein Ore(
Book
)
98 editions published between 1963 and 2014 in 8 languages and held by 3,423 WorldCat member libraries worldwide
In 1963 Oystein Ore wrote this classic volume, which was published in the New Mathematical Library Series. This elegant book has provided students and teachers with an excellent introduction to the field of graph theory for close to thirty years. Robin Wilson's revision adds strength to the book by updating the terminology and notation, bringing them in line with contemporary usage. Wilson has added new material on interval graphs, the traveling salesman problem, bracing frameworks, shortest route problems, and coloring maps on surfaces. Most of the diagrams in the book have been redrawn
98 editions published between 1963 and 2014 in 8 languages and held by 3,423 WorldCat member libraries worldwide
In 1963 Oystein Ore wrote this classic volume, which was published in the New Mathematical Library Series. This elegant book has provided students and teachers with an excellent introduction to the field of graph theory for close to thirty years. Robin Wilson's revision adds strength to the book by updating the terminology and notation, bringing them in line with contemporary usage. Wilson has added new material on interval graphs, the traveling salesman problem, bracing frameworks, shortest route problems, and coloring maps on surfaces. Most of the diagrams in the book have been redrawn
Invitation to number theory by
Øystein Ore(
)
72 editions published between 1967 and 2018 in 6 languages and held by 2,428 WorldCat member libraries worldwide
Discusses and gives examples of various number theories and how they function within the science of mathematics
72 editions published between 1967 and 2018 in 6 languages and held by 2,428 WorldCat member libraries worldwide
Discusses and gives examples of various number theories and how they function within the science of mathematics
Number theory and its history by
Øystein Ore(
Book
)
40 editions published between 1948 and 2012 in English and held by 1,622 WorldCat member libraries worldwide
This book, written by a prominent mathematician and Sterling Professor of Mathematics at Yale, differs from most books on number theory in two important ways: first, it presents the principal ideas and methods of number theory within a historical and cultural framework, making the subject more tangible and easily grasped. Second, the material requires substantially less mathematical background than many comparable texts. Technical complications and mathematical requirements have been kept to a minimum in order to make the book as accessible as possible to readers with limited mathematical knowledge. For the majority of the book, a basic knowledge of algebra will suffice. In developing the importance and meaning of number theory in the history of mathematics, Professor Ore documents the contributions of a host of history's greatest mathematicians: Diophantos, Euclid, Fibonacci, Euler, Fermat, Mersenne, Gauss, and many more, showing how these thinkers evolved the major outlines of number theory. Topics covered include counting and recording of numbers, the properties of numbers, prime numbers, the Aliquot parts, indeterminate problems, theory of linear indeterminate problems, Diophantine problems, congruences, analysis of congruences. Wilson's Theorem, Euler's theorem, theory of decimal expansions, the converse of Fermat's theorem, and the classical construction problems. Based on a course the author gave for a number of years at Yale, this book covers the essentials of number theory with a clarity and avoidance of abstruse mathematics that make it an ideal resource for undergraduates or for amateur mathematicians (who have historically contributed much to number theory). It has even been recommended for selfstudy by gifted high school students.  from back cover
40 editions published between 1948 and 2012 in English and held by 1,622 WorldCat member libraries worldwide
This book, written by a prominent mathematician and Sterling Professor of Mathematics at Yale, differs from most books on number theory in two important ways: first, it presents the principal ideas and methods of number theory within a historical and cultural framework, making the subject more tangible and easily grasped. Second, the material requires substantially less mathematical background than many comparable texts. Technical complications and mathematical requirements have been kept to a minimum in order to make the book as accessible as possible to readers with limited mathematical knowledge. For the majority of the book, a basic knowledge of algebra will suffice. In developing the importance and meaning of number theory in the history of mathematics, Professor Ore documents the contributions of a host of history's greatest mathematicians: Diophantos, Euclid, Fibonacci, Euler, Fermat, Mersenne, Gauss, and many more, showing how these thinkers evolved the major outlines of number theory. Topics covered include counting and recording of numbers, the properties of numbers, prime numbers, the Aliquot parts, indeterminate problems, theory of linear indeterminate problems, Diophantine problems, congruences, analysis of congruences. Wilson's Theorem, Euler's theorem, theory of decimal expansions, the converse of Fermat's theorem, and the classical construction problems. Based on a course the author gave for a number of years at Yale, this book covers the essentials of number theory with a clarity and avoidance of abstruse mathematics that make it an ideal resource for undergraduates or for amateur mathematicians (who have historically contributed much to number theory). It has even been recommended for selfstudy by gifted high school students.  from back cover
Cardano, the gambling scholar by
Øystein Ore(
Book
)
26 editions published between 1953 and 2017 in English and Undetermined and held by 1,066 WorldCat member libraries worldwide
Cardano, next to Vesalius the greatest physician of his day, was also a devoted and skilled gambler who played for personal pleasure and profit. His mathematical genius enabled him to devise simple rules of probability for his own benefit and for his gambling contemporaries. These he collected in his Book on Games of Chance and embellished them with essays on the tricks of cheats and kibitzers, as well as on psychological rules of play. In this biography of a stormy Renaissance personality, Cardano's gambling studies are deciphered for the first time, and a translation of the Book on Games of Chance is appended.Originally published in 1953.The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
26 editions published between 1953 and 2017 in English and Undetermined and held by 1,066 WorldCat member libraries worldwide
Cardano, next to Vesalius the greatest physician of his day, was also a devoted and skilled gambler who played for personal pleasure and profit. His mathematical genius enabled him to devise simple rules of probability for his own benefit and for his gambling contemporaries. These he collected in his Book on Games of Chance and embellished them with essays on the tricks of cheats and kibitzers, as well as on psychological rules of play. In this biography of a stormy Renaissance personality, Cardano's gambling studies are deciphered for the first time, and a translation of the Book on Games of Chance is appended.Originally published in 1953.The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
Niels Henrik Abel, mathematician extraordinary by
Øystein Ore(
Book
)
40 editions published between 1950 and 2008 in 4 languages and held by 1,017 WorldCat member libraries worldwide
40 editions published between 1950 and 2008 in 4 languages and held by 1,017 WorldCat member libraries worldwide
Theory of graphs by
Øystein Ore(
Book
)
62 editions published between 1962 and 1995 in 4 languages and held by 1,001 WorldCat member libraries worldwide
The present book has grown out of a series of courses on graph theory given from time to time at Yale University. A first set of lectures on binary relations and graphs was presented before the American Mathematical Society in Chicago, 1942. In this volume the emphasis is on basic concepts, a systematic terminology, proofs, and problems
62 editions published between 1962 and 1995 in 4 languages and held by 1,001 WorldCat member libraries worldwide
The present book has grown out of a series of courses on graph theory given from time to time at Yale University. A first set of lectures on binary relations and graphs was presented before the American Mathematical Society in Chicago, 1942. In this volume the emphasis is on basic concepts, a systematic terminology, proofs, and problems
The fourcolor problem by
Øystein Ore(
Book
)
20 editions published between 1967 and 2014 in English and held by 959 WorldCat member libraries worldwide
20 editions published between 1967 and 2014 in English and held by 959 WorldCat member libraries worldwide
The development of the sciences by
Lorande Loss Woodruff(
Book
)
12 editions published between 1941 and 1946 in English and held by 386 WorldCat member libraries worldwide
12 editions published between 1941 and 1946 in English and held by 386 WorldCat member libraries worldwide
Gesammelte mathematische Werke by
Richard Dedekind(
Book
)
16 editions published between 1930 and 1969 in German and English and held by 186 WorldCat member libraries worldwide
16 editions published between 1930 and 1969 in German and English and held by 186 WorldCat member libraries worldwide
Gesammelte mathematische werke by
Richard Dedekind(
Book
)
10 editions published in 1930 in German and held by 156 WorldCat member libraries worldwide
10 editions published in 1930 in German and held by 156 WorldCat member libraries worldwide
L'algèbre abstraite by
Øystein Ore(
Book
)
5 editions published in 1936 in French and held by 147 WorldCat member libraries worldwide
5 editions published in 1936 in French and held by 147 WorldCat member libraries worldwide
Les corps algébriques et la théorie des idéaux by
Øystein Ore(
Book
)
7 editions published in 1934 in French and held by 139 WorldCat member libraries worldwide
7 editions published in 1934 in French and held by 139 WorldCat member libraries worldwide
Niels Henrik Abel by
Øystein Ore(
Book
)
16 editions published between 1950 and 1982 in 4 languages and held by 127 WorldCat member libraries worldwide
16 editions published between 1950 and 1982 in 4 languages and held by 127 WorldCat member libraries worldwide
The fourcolor problem by
Øystein Ore(
Book
)
9 editions published between 1967 and 1979 in English and German and held by 60 WorldCat member libraries worldwide
9 editions published between 1967 and 1979 in English and German and held by 60 WorldCat member libraries worldwide
Graphen und ihre Anwendungen by
Øystein Ore(
Book
)
1 edition published in 1974 in German and held by 53 WorldCat member libraries worldwide
1 edition published in 1974 in German and held by 53 WorldCat member libraries worldwide
Niels Henrik Abel; et geni og hans samtid by
Øystein Ore(
Book
)
5 editions published in 1954 in 3 languages and held by 35 WorldCat member libraries worldwide
5 editions published in 1954 in 3 languages and held by 35 WorldCat member libraries worldwide
Der wissenschaftliche nachlass von Richard Birkeland by
Øystein Ore(
Book
)
7 editions published between 1929 and 1930 in German and Norwegian and held by 30 WorldCat member libraries worldwide
7 editions published between 1929 and 1930 in German and Norwegian and held by 30 WorldCat member libraries worldwide
Pascal and the invention of probability theory by
Øystein Ore(
Book
)
2 editions published in 1959 in English and held by 26 WorldCat member libraries worldwide
2 editions published in 1959 in English and held by 26 WorldCat member libraries worldwide
The great art; or, The rules of algebra by
Girolamo Cardano(
Book
)
5 editions published in 1968 in English and held by 25 WorldCat member libraries worldwide
5 editions published in 1968 in English and held by 25 WorldCat member libraries worldwide
Kriterien für gleichungen mit primitiven gruppen by
Øystein Ore(
Book
)
6 editions published between 1924 and 1925 in German and Norwegian and held by 25 WorldCat member libraries worldwide
6 editions published between 1924 and 1925 in German and Norwegian and held by 25 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Wilson, Robin J. Other Adapter Editor
 Cardano, Girolamo 15011576 Author
 Abel, Niels Henrik 18021829
 Woodruff, Lorande Loss 18791947 Author Editor
 Dedekind, Richard 18311916 Author
 Noether, Emmy 18821935 Other Editor
 Fricke, Robert 18611930 Other Editor
 Timm, John A. (John Arrend) 1898
 Margenau, Henry 19011997
 Miles, Walter R. (Walter Richard) 18851978
Useful Links
Associated Subjects
Abel, Niels Henrik, Algebra Algebra, Universal Algebraic fields Cardano, Girolamo, Combinatorial analysis Equations, Theory of Fourcolor problem Gamblers Gambling Graphic methods Graph theory Italy Mathematicians Mathematics Norway Number theory Ore, Øystein, Pascal, Blaise, Probabilities Rings (Algebra) Science Scientists
Covers
Alternative Names
Ore, L'algèbre abstraite,par Oystein Ore. Paris,Hermann & cie 18991968
Orė, O.
Ore O. 18991968
Ore, Oeystein 18991968
Ore Oistinas
Ore, Ojstin 18991968
Ore Oystein
Ore, Øystein 18991968
Oystein Ore
Øystein Ore matemático noruego
Øystein Ore mathématicien norvégien
Øystein Ore Noors wiskundige
Øystein Ore norsk matematiker og professor ved Yaleuniversitetet
Øystein Ore norvég matematikus
Øystein Ore norwegischer Mathematiker
Øystein Ore norweski matematyk
Оре О.
Оре О. 18991968
Оре Ойстин
אוישטיין אור
אייסטיין אור מתמטיקאי נורווגי
외위스테인 오레
オア, O.
オア, オイステイン
オイスタイン・オレ
奥斯丁·欧尔
Languages