WorldCat Identities

Shirokov, P. A. (Petr Alekseevich) 1895-1944

Overview
Works: 18 works in 70 publications in 4 languages and 643 library holdings
Roles: Author
Classifications: QA433, 516.83
Publication Timeline
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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

Affine Differentialgeometrie by P. A Shirokov( Book )

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

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

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

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

Tenzornoe isčislenie : algebra tenzorov by P. A Shirokov( Book )

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

Affinnaâ differencial'naâ geometriâ by P. A Shirokov( Book )

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

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

Tenzornoje isčislenije : algebra tenzorov by P. A Shirokov( Book )

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

Tensor-Rechnung und Tensoralgebra by P. A Širokov( Book )

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 n-dimensional space and on the linear representations of groups, and to the theory of spinors in three-dimensional 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

Affinnaya differencial'naya geometriya : Affine differential geometry( Book )

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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Audience level: 0.63 (from 0.37 for A sketch o ... to 0.99 for Tenzornoje ...)

Alternative Names
Schirokow, P.A.

Schirokow, P. A. 1895-1944

Schirokow, Pjotr A. 1895-1944

Shirokov, P.A.

Shirokov, P. A. 1895-1944

Shirokov, Petr Alekseevich.

Shirokov, Petr Alekseevich 1895-1944

Shirokow, P.A.

Širokov, P. A.

Širokov, Petr Alekseevič 1895-1944

Languages
Russian (34)

English (18)

German (11)

Italian (1)