Ore, Øystein 18991968
Overview
Works:  127 works in 640 publications in 9 languages and 13,378 library holdings 

Genres:  History Biography Bibliography Manuscripts 
Roles:  Author, Editor, Author of introduction, Interviewee, Other 
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 2012 in 8 languages and held by 2,066 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 2012 in 8 languages and held by 2,066 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
Number theory and its history by
Øystein Ore(
Book
)
40 editions published between 1948 and 2012 in English and Undetermined and held by 1,625 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 Undetermined and held by 1,625 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
Invitation to number theory by
Øystein Ore(
Book
)
64 editions published between 1967 and 2017 in 6 languages and held by 1,060 WorldCat member libraries worldwide
Discusses and gives examples of various number theories and how they function within the science of mathematics
64 editions published between 1967 and 2017 in 6 languages and held by 1,060 WorldCat member libraries worldwide
Discusses and gives examples of various number theories and how they function within the science of mathematics
Niels Henrik Abel, mathematician extraordinary by
Øystein Ore(
Book
)
40 editions published between 1950 and 2008 in 4 languages and held by 1,019 WorldCat member libraries worldwide
40 editions published between 1950 and 2008 in 4 languages and held by 1,019 WorldCat member libraries worldwide
Theory of graphs by
Øystein Ore(
Book
)
59 editions published between 1962 and 1995 in 4 languages and held by 953 WorldCat member libraries worldwide
A considerable number of problems have been included. Many of these are quite simple; others are more in the nature of proposed research problems
59 editions published between 1962 and 1995 in 4 languages and held by 953 WorldCat member libraries worldwide
A considerable number of problems have been included. Many of these are quite simple; others are more in the nature of proposed research problems
Cardano, the gambling scholar by
Øystein Ore(
Book
)
29 editions published between 1953 and 1965 in English and held by 901 WorldCat member libraries worldwide
29 editions published between 1953 and 1965 in English and held by 901 WorldCat member libraries worldwide
The fourcolor problem by
Øystein Ore(
Book
)
32 editions published between 1967 and 1979 in 3 languages and held by 894 WorldCat member libraries worldwide
32 editions published between 1967 and 1979 in 3 languages and held by 894 WorldCat member libraries worldwide
The development of the sciences by
Lorande Loss Woodruff(
Book
)
13 editions published between 1941 and 1946 in English and held by 386 WorldCat member libraries worldwide
13 editions published between 1941 and 1946 in English and held by 386 WorldCat member libraries worldwide
Gesammelte mathematische Werke by
Richard Dedekind(
Book
)
22 editions published between 1930 and 1969 in German and English and held by 333 WorldCat member libraries worldwide
22 editions published between 1930 and 1969 in German and English and held by 333 WorldCat member libraries worldwide
L'algèbre abstraite by
Øystein Ore(
Book
)
17 editions published in 1936 in French and held by 168 WorldCat member libraries worldwide
17 editions published in 1936 in French and held by 168 WorldCat member libraries worldwide
Les corps algébriques et la théorie des idéaux by
Øystein Ore(
Book
)
10 editions published in 1934 in French and held by 153 WorldCat member libraries worldwide
10 editions published in 1934 in French and held by 153 WorldCat member libraries worldwide
Niels Henrik Abel by
Øystein Ore(
Book
)
27 editions published between 1950 and 1982 in 3 languages and held by 147 WorldCat member libraries worldwide
27 editions published between 1950 and 1982 in 3 languages and held by 147 WorldCat member libraries worldwide
Graphen und ihre Anwendungen by
Øystein Ore(
Book
)
1 edition published in 1974 in German and held by 41 WorldCat member libraries worldwide
1 edition published in 1974 in German and held by 41 WorldCat member libraries worldwide
Niels Henrik Abel; et geni og hans samtid by
Øystein Ore(
Book
)
8 editions published in 1954 in 3 languages and held by 39 WorldCat member libraries worldwide
8 editions published in 1954 in 3 languages and held by 39 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
)
3 editions published in 1959 in English and held by 28 WorldCat member libraries worldwide
3 editions published in 1959 in English and held by 28 WorldCat member libraries worldwide
Kriterien für gleichungen mit primitiven gruppen by
Øystein Ore(
Book
)
7 editions published between 1924 and 1925 in German and Norwegian and held by 26 WorldCat member libraries worldwide
7 editions published between 1924 and 1925 in German and Norwegian and held by 26 WorldCat member libraries worldwide
The great art; or, The rules of algebra by
Girolamo Cardano(
Book
)
4 editions published in 1968 in English and held by 24 WorldCat member libraries worldwide
4 editions published in 1968 in English and held by 24 WorldCat member libraries worldwide
Über die reduzibilität von algebraischen gleichungen by
Øystein Ore(
Book
)
5 editions published in 1923 in German and Norwegian and held by 22 WorldCat member libraries worldwide
5 editions published in 1923 in German and Norwegian and held by 22 WorldCat member libraries worldwide
Invitation to number theory by
Øystein Ore(
)
1 edition published in 2012 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2012 in English and held by 0 WorldCat member libraries worldwide
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Audience Level
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Kids  General  Special 
Related Identities
 Wilson, Robin J. Other Adapter Editor
 Abel, Niels Henrik 18021829
 Cardano, Girolamo 15011576 Author
 Woodruff, Lorande Loss 18791947 Author Editor
 Fricke, Robert 18611930 Other Editor
 Noether, Emmy 18821935 Other Editor
 Dedekind, Richard 18311916 Author
 Margenau, Henry 19011997
 Schlesinger, Frank 18711943
 Fulton, John F. (John Farquhar) 18991960
Useful Links
Associated Subjects
Abel, Niels Henrik, Algebra Algebra, Universal Algebraic fields Cardano, Girolamo, Combinatorial analysis Equations, Theory of Fourcolor problem Gamblers Gambling Games of chance (Mathematics) Graphic methods Graph theory Italy Mathematicians Mathematics Number theory Ore, Øystein, Pascal, Blaise, Probabilities Rings (Algebra) Science Scientists
Alternative Names
Ore, L'algèbre abstraite,par Oystein Ore. Paris,Hermann & cie 18991968
Orė, O.
Ore O. 18991968
Ore, Oeystein 18991968
Ore, Ojstin 18991968
Ore, Øystein
Ore, Øystein 18991968
Øystein Ore matemático noruego
Øystein Ore mathématicien norvégien
Øystein Ore Noors wiskundige
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
English
(313)
French (67)
German (43)
Russian (20)
Italian (10)
Norwegian (10)
Chinese (9)
Polish (3)
Spanish (2)
French (67)
German (43)
Russian (20)
Italian (10)
Norwegian (10)
Chinese (9)
Polish (3)
Spanish (2)
Covers