Rozenfelʹd, B. A. (Boris Abramovich)
Overview
Works:  80 works in 270 publications in 7 languages and 2,014 library holdings 

Genres:  History Biography Biobibliography 
Roles:  Author, Editor, Translator, tra, Author of introduction 
Classifications:  QA685, 516.909 
Publication Timeline
.
Most widely held works by
B. A Rozenfelʹd
A history of nonEuclidean geometry : evolution of the concept of a geometric space by
B. A Rozenfelʹd(
Book
)
19 editions published between 1987 and 1988 in English and held by 671 WorldCat member libraries worldwide
This book is an investigation of the mathematical and philosophical factors underlying the discovery of the concept of noneuclidean geometries, and the subsequent extension of the concept of space. Chapters one through five are devoted to the evolution of the concept of space, leading up to chapter six which describes the discovery of noneuclidean geometry, and the corresponding broadening of the concept of space. The author goes on to discuss concepts such as multidimensional spaces and curvature, and transformation groups. The book ends with a chapter describing the applications of nonassociative algebras to geometry
19 editions published between 1987 and 1988 in English and held by 671 WorldCat member libraries worldwide
This book is an investigation of the mathematical and philosophical factors underlying the discovery of the concept of noneuclidean geometries, and the subsequent extension of the concept of space. Chapters one through five are devoted to the evolution of the concept of space, leading up to chapter six which describes the discovery of noneuclidean geometry, and the corresponding broadening of the concept of space. The author goes on to discuss concepts such as multidimensional spaces and curvature, and transformation groups. The book ends with a chapter describing the applications of nonassociative algebras to geometry
Elie Cartan (18691951) by
M. A Akivis(
Book
)
13 editions published between 1993 and 2007 in 4 languages and held by 334 WorldCat member libraries worldwide
13 editions published between 1993 and 2007 in 4 languages and held by 334 WorldCat member libraries worldwide
Geometry of Lie groups by
B. A Rozenfelʹd(
Book
)
16 editions published between 1997 and 2011 in English and Undetermined and held by 162 WorldCat member libraries worldwide
This book represents the fruits of the author's many years of research and teaching. The introductory chapter contains the necessary background information from algebra, topology, and geometry of real spaces. Chapter 1 presents more specialized information on associative and nonassociative algebras and on Lie groups and algebras. In Chapters 2 through 6 geometric interpretations of all simple Lie groups of classes An, Bn, Cn, and Dn as well as of finite groups of Lie type are given. In Chapters 5 and 6 geometric interpretations of quasisimple and rquasisimple Lie groups of the same classes are included. In Chapter 7, for the first time ever, geometric interpretations of all simple and quasisimple Lie groups of exceptional classes G2, F4, E6, E7, and E8 are given. The role of exercises is played by the assertions and theorems given without a full proof, but with the indication that they can be proved analogously to already proved theorems. Audience: The book will be of interest to graduate students and researchers in mathematics and physics
16 editions published between 1997 and 2011 in English and Undetermined and held by 162 WorldCat member libraries worldwide
This book represents the fruits of the author's many years of research and teaching. The introductory chapter contains the necessary background information from algebra, topology, and geometry of real spaces. Chapter 1 presents more specialized information on associative and nonassociative algebras and on Lie groups and algebras. In Chapters 2 through 6 geometric interpretations of all simple Lie groups of classes An, Bn, Cn, and Dn as well as of finite groups of Lie type are given. In Chapters 5 and 6 geometric interpretations of quasisimple and rquasisimple Lie groups of the same classes are included. In Chapter 7, for the first time ever, geometric interpretations of all simple and quasisimple Lie groups of exceptional classes G2, F4, E6, E7, and E8 are given. The role of exercises is played by the assertions and theorems given without a full proof, but with the indication that they can be proved analogously to already proved theorems. Audience: The book will be of interest to graduate students and researchers in mathematics and physics
Stereographic projection by
B. A Rozenfelʹd(
Book
)
12 editions published between 1977 and 1986 in 3 languages and held by 80 WorldCat member libraries worldwide
12 editions published between 1977 and 1986 in 3 languages and held by 80 WorldCat member libraries worldwide
Mathematicians, astronomers and other scholars of Islamic civilisation and their works (7th19th c.) by
B. A Rozenfelʹd(
Book
)
6 editions published in 2003 in English and Turkish and held by 77 WorldCat member libraries worldwide
6 editions published in 2003 in English and Turkish and held by 77 WorldCat member libraries worldwide
Die Mathematik der Länder des Ostens im Mittelalter by
A. P I︠U︡shkevich(
Book
)
16 editions published between 1960 and 1963 in German and held by 75 WorldCat member libraries worldwide
16 editions published between 1960 and 1963 in German and held by 75 WorldCat member libraries worldwide
Neevklidovy prostranstva by
B. A Rozenfelʹd(
Book
)
8 editions published between 1969 and 1979 in Russian and Undetermined and held by 54 WorldCat member libraries worldwide
8 editions published between 1969 and 1979 in Russian and Undetermined and held by 54 WorldCat member libraries worldwide
Traktaty by
Omar Khayyam(
Book
)
11 editions published in 1961 in Russian and Persian and held by 51 WorldCat member libraries worldwide
11 editions published in 1961 in Russian and Persian and held by 51 WorldCat member libraries worldwide
Matematiki i astronomy musulʹmanskogo srednevekovʹja i ich trudy : (VIII  XVII vv.) by
G. P Matvievskai︠a︡(
Book
)
27 editions published in 1983 in Russian and Undetermined and held by 45 WorldCat member libraries worldwide
27 editions published in 1983 in Russian and Undetermined and held by 45 WorldCat member libraries worldwide
Mnogomernye prostranstva by
B. A Rozenfelʹd(
Book
)
9 editions published between 1966 and 2013 in 3 languages and held by 40 WorldCat member libraries worldwide
9 editions published between 1966 and 2013 in 3 languages and held by 40 WorldCat member libraries worldwide
Omar Khaĭi︠a︡m by
B. A Rozenfelʹd(
Book
)
1 edition published in 1965 in Russian and held by 32 WorldCat member libraries worldwide
1 edition published in 1965 in Russian and held by 32 WorldCat member libraries worldwide
Neevklidovy geometrii by
B. A Rozenfelʹd(
Book
)
9 editions published between 1953 and 1995 in Russian and Undetermined and held by 31 WorldCat member libraries worldwide
9 editions published between 1953 and 1995 in Russian and Undetermined and held by 31 WorldCat member libraries worldwide
Teorii︠a︡ parallelʹnykh liniĭ na srednevekovom Vostoke IXXIV vv. by
B. A Rozenfelʹd(
Book
)
4 editions published in 1983 in Russian and held by 27 WorldCat member libraries worldwide
4 editions published in 1983 in Russian and held by 27 WorldCat member libraries worldwide
Ĭogann Mi︠u︡ller (Regiomontan), 14361476 by
I︠U︡. A Belyĭ(
Book
)
3 editions published in 1985 in Russian and held by 19 WorldCat member libraries worldwide
3 editions published in 1985 in Russian and held by 19 WorldCat member libraries worldwide
AburRajchan alBiruni, 9731048 by
B. A Rozenfelʹd(
Book
)
6 editions published in 1973 in Russian and Undetermined and held by 15 WorldCat member libraries worldwide
6 editions published in 1973 in Russian and Undetermined and held by 15 WorldCat member libraries worldwide
Omar Chajjam by
B. A Rozenfelʹd(
Book
)
3 editions published in 1965 in Russian and held by 14 WorldCat member libraries worldwide
3 editions published in 1965 in Russian and held by 14 WorldCat member libraries worldwide
Istorija neevklidovoj geometrii : razvitie ponjatija o geometričeskom prostranstve by
B. A Rozenfelʹd(
Book
)
8 editions published in 1976 in 3 languages and held by 14 WorldCat member libraries worldwide
8 editions published in 1976 in 3 languages and held by 14 WorldCat member libraries worldwide
Akhmad alFergani, IX vek by
B. A Rozenfelʹd(
Book
)
2 editions published in 1998 in Russian and held by 14 WorldCat member libraries worldwide
2 editions published in 1998 in Russian and held by 14 WorldCat member libraries worldwide
Iz istorii fizikomatematicheskikh nauk na srednevekovom Vostoke : traktaty alKhazini, alBiruni, Ibn alKhusaĭna, ashShirazi(
Book
)
1 edition published in 1983 in Russian and held by 11 WorldCat member libraries worldwide
1 edition published in 1983 in Russian and held by 11 WorldCat member libraries worldwide
Teorija parallel'nych linij na srednevekovom Vostoke IXXIV vv. by
B. A Rozenfelʹd(
Book
)
2 editions published in 1983 in Undetermined and held by 9 WorldCat member libraries worldwide
2 editions published in 1983 in Undetermined and held by 9 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Akivis, M. A. (Maks Aĭzikovich) Author
 Cartan, Elie 18691951
 I︠U︡shkevich, A. P. (Adolʹf Pavlovich) 19061993 Author of introduction Author
 Sergeeva, N. D. (Nadezhda Dmitrievna)
 Omar Khayyam Author
 İhsanoğlu, Ekmeleddin
 Matvievskaja, Galina Pavlovna Author
 Juškevič, Adol'f P. Author
 Rozhanskai︠a︡, M. M. (Mariam Mikhaĭlovna)
 Shenitzer, Abe
Useful Links
Associated Subjects
Algebra Astronomy, Arab Bīrūnī, Muḥammad ibn Aḥmad, Cartan, Elie, Farghānī, France Generalized spaces Geometry Geometry, Algebraic Geometry, Analytic Geometry, Differential Geometry, NonEuclidean Germany Iran Iraq Islamic Empire Lie groups Mathematicians Mathematics Mathematics, Arab Mathematics, Medieval Muslim scholars Omar Khayyam Parallels (Geometry) Poets, Persian Regiomontanus, Joannes, Science Scientists Space and time Spherical projection Topological groups Uzbekistan
Alternative Names
Boris Abramowitsch Rosenfeld
Boris Abramowitsch Rosenfeld Russisch wiskundige (19172008)
Boris Abramowitsch Rosenfeld russischer Mathematiker und Mathematikhistoriker
Boris Rozenfeld Russian mathematician, historian of mathematics and historian
Rosenfeld, B.A
Rosenfeld, B. A. 1917
Rosenfeld, B.A. 19172008
Rosenfeld, Boris 1917
Rosenfeld, Boris 19172008
Rosenfeld, Boris A.
Rosenfeld, Boris A. 1917
Rosenfeld, Boris A. 19172008
Rosenfeld, Boris Abdamovich
Rosenfeld, Boris Abramovic
Rosenfeld, Boris Abramovič 19172008
Rosenfeld, Boris Abramovich.
Rosenfeld Boris Abramovich 1917....
Rosenfeld, Boris Abramovitch
Rozenfel'd, B. A.
Rozenfel'd, B. A. 1917
Rozenfel'd, Boris A.
Rozenfel'd, Boris Abramovič
Rozenfeld, Boris Abramovič 1917
Rozenfelʹd, Boris Abramovich
Rozenfeld, Boris Abramovich 1917
Rozenfeld, Boris Abramovitch
Rūzinfīld, B. A.
Ruzinfild, B. A. 1917
Розенфельд, Б.А. (Борис Абрамович), 19172008
Розенфельд Борис Абрамович 1917.....
Розенфельд, Борис Абрамович 19172008
بوریس روزنفلد
روزنفيلد، بوريس ابراموفيتش
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