Shirokov, P. A. (Petr Alekseevich) 18951944
Overview
Works:  18 works in 70 publications in 4 languages and 643 library holdings 

Roles:  Author 
Classifications:  QA433, 516.83 
Publication Timeline
.
Most widely held works about
P. A Shirokov
Most widely held works by
P. A Shirokov
A sketch of the fundamentals of Lobachevskian geometry by
Pyotr Alekseevich Shirokov(
Book
)
21 editions published between 1955 and 1983 in 3 languages and held by 390 WorldCat member libraries worldwide
21 editions published between 1955 and 1983 in 3 languages and held by 390 WorldCat member libraries worldwide
Affine Differentialgeometrie by
P. A Shirokov(
Book
)
11 editions published in 1962 in German and Italian and held by 136 WorldCat member libraries worldwide
11 editions published in 1962 in German and Italian and held by 136 WorldCat member libraries worldwide
Affinnai︠a︡ different︠s︡ialʹnai︠a︡ geometrii︠a︡ by
P. A Shirokov(
Book
)
4 editions published in 1959 in Russian and held by 36 WorldCat member libraries worldwide
4 editions published in 1959 in Russian and held by 36 WorldCat member libraries worldwide
Izbrannye raboty po geometrii by
P. A Shirokov(
Book
)
5 editions published in 1966 in Russian and Undetermined and held by 16 WorldCat member libraries worldwide
5 editions published in 1966 in Russian and Undetermined and held by 16 WorldCat member libraries worldwide
Affinnaja differencialʹnaja geometrija by
P. A Shirokov(
Book
)
4 editions published in 1959 in Russian and Undetermined and held by 13 WorldCat member libraries worldwide
4 editions published in 1959 in Russian and Undetermined and held by 13 WorldCat member libraries worldwide
Tenzornoe ischislenie : algebra tenzorov by
P. A Shirokov(
Book
)
5 editions published between 1934 and 1961 in Russian and held by 11 WorldCat member libraries worldwide
5 editions published between 1934 and 1961 in Russian and held by 11 WorldCat member libraries worldwide
Tenzornoe isčislenie : algebra tenzorov by
P. A Shirokov(
Book
)
4 editions published in 1961 in Russian and held by 9 WorldCat member libraries worldwide
4 editions published in 1961 in Russian and held by 9 WorldCat member libraries worldwide
Stroenie neevklidovoĭ geometrii by
P. A Shirokov(
Book
)
4 editions published in 1950 in Russian and held by 7 WorldCat member libraries worldwide
4 editions published in 1950 in Russian and held by 7 WorldCat member libraries worldwide
Affinnaâ differencial'naâ geometriâ by
P. A Shirokov(
Book
)
2 editions published in 1959 in Russian and held by 2 WorldCat member libraries worldwide
2 editions published in 1959 in Russian and held by 2 WorldCat member libraries worldwide
Kratkij očerk osnov geometrii Lobačevskogo by
P. A Shirokov(
Book
)
2 editions published between 1955 and 1983 in Russian and held by 2 WorldCat member libraries worldwide
2 editions published between 1955 and 1983 in Russian and held by 2 WorldCat member libraries worldwide
A sketch of the fundamentals of Lobachevskian geometry, prepared for pub. by
P. A Shirokov(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
Tenzornoje isčislenije : algebra tenzorov by
P. A Shirokov(
Book
)
1 edition published in 1961 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1961 in Russian and held by 1 WorldCat member library worldwide
A sketch of the fundamentals of Lobachevskian geometry by
P. A Shirokov(
)
1 edition published in 1964 in English and held by 1 WorldCat member library worldwide
1 edition published in 1964 in English and held by 1 WorldCat member library worldwide
TensorRechnung und Tensoralgebra by
P. A Širokov(
Book
)
1 edition published in 1934 in German and held by 1 WorldCat member library worldwide
1 edition published in 1934 in German and held by 1 WorldCat member library worldwide
The theory of spinors by
Elie Cartan(
Book
)
1 edition published in 1947 in Russian and held by 1 WorldCat member library worldwide
The French mathematician Élie Cartan (1869{u2013}1951) was one of the founders of the modern theory of Lie groups, a subject of central importance in mathematics and also one with many applications. In this volume, he describes the orthogonal groups, either with real or complex parameters including reflections, and also the related groups with indefinite metrics. He develops the theory of spinors (he discovered the general mathematical form of spinors in 1913) systematically by giving a purely geometrical definition of these mathematical entities; this geometrical origin makes it very easy to introduce spinors into Riemannian geometry, and particularly to apply the idea of parallel transport to these geometrical entities. The book is divided into two parts. The first is devoted to generalities on the group of rotations in ndimensional space and on the linear representations of groups, and to the theory of spinors in threedimensional space. Finally, the linear representations of the group of rotations in that space (of particular importance to quantum mechanics) are also examined. The second part is devoted to the theory of spinors in spaces of any number of dimensions, and particularly in the space of special relativity (Minkowski space). While the basic orientation of the book as a whole is mathematical, physicists will be especially interested in the final chapters treating the applications of spinors in the rotation and Lorentz groups. In this connection, Cartan shows how to derive the "Dirac" equation for any group, and extends the equation to general relativity. One of the greatest mathematicians of the 20th century, Cartan made notable contributions in mathematical physics, differential geometry, and group theory. Although a profound theorist, he was able to explain difficult concepts with clarity and simplicity. In this detailed, explicit treatise, mathematicians specializing in quantum mechanics will find his lucid approach a great value
1 edition published in 1947 in Russian and held by 1 WorldCat member library worldwide
The French mathematician Élie Cartan (1869{u2013}1951) was one of the founders of the modern theory of Lie groups, a subject of central importance in mathematics and also one with many applications. In this volume, he describes the orthogonal groups, either with real or complex parameters including reflections, and also the related groups with indefinite metrics. He develops the theory of spinors (he discovered the general mathematical form of spinors in 1913) systematically by giving a purely geometrical definition of these mathematical entities; this geometrical origin makes it very easy to introduce spinors into Riemannian geometry, and particularly to apply the idea of parallel transport to these geometrical entities. The book is divided into two parts. The first is devoted to generalities on the group of rotations in ndimensional space and on the linear representations of groups, and to the theory of spinors in threedimensional space. Finally, the linear representations of the group of rotations in that space (of particular importance to quantum mechanics) are also examined. The second part is devoted to the theory of spinors in spaces of any number of dimensions, and particularly in the space of special relativity (Minkowski space). While the basic orientation of the book as a whole is mathematical, physicists will be especially interested in the final chapters treating the applications of spinors in the rotation and Lorentz groups. In this connection, Cartan shows how to derive the "Dirac" equation for any group, and extends the equation to general relativity. One of the greatest mathematicians of the 20th century, Cartan made notable contributions in mathematical physics, differential geometry, and group theory. Although a profound theorist, he was able to explain difficult concepts with clarity and simplicity. In this detailed, explicit treatise, mathematicians specializing in quantum mechanics will find his lucid approach a great value
Affine Differentialgeometrie [Affinnaja differencical' naja geometrija, dt.] [Von] P.A. Schirakow u. A.P. Schirakow by
P. A Shirokov(
Book
)
1 edition published in 1962 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1962 in Undetermined and held by 1 WorldCat member library worldwide
Affinnaya differencial'naya geometriya : Affine differential geometry(
Book
)
1 edition published in 1959 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1959 in Undetermined and held by 1 WorldCat member library worldwide
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Audience Level
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Related Identities
 Bronshteĭn, I. N. (Ilʹi︠a︡ Nikolaevich) Editor
 Shirokov, A. P. (Aleksandr Petrovich)
 Neumann, Olaf
 Lobachevskiĭ, N. I. (Nikolaĭ Ivanovich) 17921856
 Kagan, V. F. (Veniamin Fedorovich) 18691953
 Boron, Leo F. Translator
 Bouwsma, Ward D.
 Norden, Aleksandr Petrovič (1904 ).
 Shapukov, B. N.
 Sirokov, Aleksander Petrovic
Associated Subjects
Affine differential geometry Algebras, Linear Calculus of tensors Geometry Geometry, Affine Geometry, Differential Geometry, Hyperbolic Geometry, NonEuclidean Geometry, Riemannian Lobachevskiĭ, N. I.(Nikolaĭ Ivanovich), Mathematicians Russia (Federation) Shirokov, P. A.(Petr Alekseevich), Spinor analysis
Alternative Names
Schirokow, P.A.
Schirokow, P. A. 18951944
Schirokow, Pjotr A. 18951944
Shirokov, P.A.
Shirokov, P. A. 18951944
Shirokov, Petr Alekseevich.
Shirokov, Petr Alekseevich 18951944
Shirokow, P.A.
Širokov, P. A.
Širokov, Petr Alekseevič 18951944
Languages