Author: Sergei Petrovich Novikov
Publisher: American Mathematical Soc.
ISBN: 9780821883952
Category :
Languages : en
Pages : 633
Book Description
Modern geometric structures and fields
Author: Sergei Petrovich Novikov
Publisher: American Mathematical Soc.
ISBN: 9780821883952
Category :
Languages : en
Pages : 633
Book Description
Publisher: American Mathematical Soc.
ISBN: 9780821883952
Category :
Languages : en
Pages : 633
Book Description
Modern Geometric Structures and Fields
Author: Сергей Петрович Новиков
Publisher: American Mathematical Soc.
ISBN: 0821839292
Category : Mathematics
Languages : en
Pages : 658
Book Description
Presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds and the important structures on them. This book shows that Riemannian geometry has a great influence to several fundamental areas of modern mathematics and its applications.
Publisher: American Mathematical Soc.
ISBN: 0821839292
Category : Mathematics
Languages : en
Pages : 658
Book Description
Presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds and the important structures on them. This book shows that Riemannian geometry has a great influence to several fundamental areas of modern mathematics and its applications.
Modern Geometric Structures
Author: Emanuel Sperner
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 0
Book Description
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 0
Book Description
Differential Geometric Structures
Author: Walter A. Poor
Publisher: Courier Corporation
ISBN: 0486151913
Category : Mathematics
Languages : en
Pages : 356
Book Description
This introductory text defines geometric structure by specifying parallel transport in an appropriate fiber bundle and focusing on simplest cases of linear parallel transport in a vector bundle. 1981 edition.
Publisher: Courier Corporation
ISBN: 0486151913
Category : Mathematics
Languages : en
Pages : 356
Book Description
This introductory text defines geometric structure by specifying parallel transport in an appropriate fiber bundle and focusing on simplest cases of linear parallel transport in a vector bundle. 1981 edition.
Differential Geometric Structures and Applications
Author: Vladimir Rovenski
Publisher: Springer Nature
ISBN: 3031505867
Category :
Languages : en
Pages : 323
Book Description
Publisher: Springer Nature
ISBN: 3031505867
Category :
Languages : en
Pages : 323
Book Description
New Horizons In Differential Geometry And Its Related Fields
Author: Toshiaki Adachi
Publisher: World Scientific
ISBN: 9811248117
Category : Mathematics
Languages : en
Pages : 257
Book Description
This volume presents recent developments in geometric structures on Riemannian manifolds and their discretizations. With chapters written by recognized experts, these discussions focus on contact structures, Kähler structures, fiber bundle structures and Einstein metrics. It also contains works on the geometric approach on coding theory.For researchers and students, this volume forms an invaluable source to learn about these subjects that are not only in the field of differential geometry but also in other wide related areas. It promotes and deepens the study of geometric structures.
Publisher: World Scientific
ISBN: 9811248117
Category : Mathematics
Languages : en
Pages : 257
Book Description
This volume presents recent developments in geometric structures on Riemannian manifolds and their discretizations. With chapters written by recognized experts, these discussions focus on contact structures, Kähler structures, fiber bundle structures and Einstein metrics. It also contains works on the geometric approach on coding theory.For researchers and students, this volume forms an invaluable source to learn about these subjects that are not only in the field of differential geometry but also in other wide related areas. It promotes and deepens the study of geometric structures.
Geometry and Physics
Author: Jürgen Jost
Publisher: Springer Science & Business Media
ISBN: 3642005411
Category : Mathematics
Languages : en
Pages : 226
Book Description
"Geometry and Physics" addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry. It gives an introduction to modern quantum field theory and related areas of theoretical high-energy physics from the perspective of Riemannian geometry, and an introduction to modern geometry as needed and utilized in modern physics. Jürgen Jost, a well-known research mathematician and advanced textbook author, also develops important geometric concepts and methods that can be used for the structures of physics. In particular, he discusses the Lagrangians of the standard model and its supersymmetric extensions from a geometric perspective.
Publisher: Springer Science & Business Media
ISBN: 3642005411
Category : Mathematics
Languages : en
Pages : 226
Book Description
"Geometry and Physics" addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry. It gives an introduction to modern quantum field theory and related areas of theoretical high-energy physics from the perspective of Riemannian geometry, and an introduction to modern geometry as needed and utilized in modern physics. Jürgen Jost, a well-known research mathematician and advanced textbook author, also develops important geometric concepts and methods that can be used for the structures of physics. In particular, he discusses the Lagrangians of the standard model and its supersymmetric extensions from a geometric perspective.
Modern Differential Geometry in Gauge Theories
Author: Anastasios Mallios
Publisher: Springer Science & Business Media
ISBN: 0817644741
Category : Mathematics
Languages : en
Pages : 303
Book Description
This is original, well-written work of interest Presents for the first time (physical) field theories written in sheaf-theoretic language Contains a wealth of minutely detailed, rigorous computations, ususally absent from standard physical treatments Author's mastery of the subject and the rigorous treatment of this text make it invaluable
Publisher: Springer Science & Business Media
ISBN: 0817644741
Category : Mathematics
Languages : en
Pages : 303
Book Description
This is original, well-written work of interest Presents for the first time (physical) field theories written in sheaf-theoretic language Contains a wealth of minutely detailed, rigorous computations, ususally absent from standard physical treatments Author's mastery of the subject and the rigorous treatment of this text make it invaluable
Dynamics, Statistics and Projective Geometry of Galois Fields
Author: V. I. Arnold
Publisher: Cambridge University Press
ISBN: 1139493442
Category : Mathematics
Languages : en
Pages : 91
Book Description
V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and geometrical explorations to make these findings accessible to a broad range of mathematicians, from undergraduate students to experienced researchers.
Publisher: Cambridge University Press
ISBN: 1139493442
Category : Mathematics
Languages : en
Pages : 91
Book Description
V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and geometrical explorations to make these findings accessible to a broad range of mathematicians, from undergraduate students to experienced researchers.
Recent Progress in Differential Geometry and Its Related Fields
Author: Toshiaki Adachi
Publisher: World Scientific
ISBN: 9814355461
Category : Mathematics
Languages : en
Pages : 207
Book Description
This volume contains the contributions by the main participants of the 2nd International Colloquium on Differential Geometry and its Related Fields (ICDG2010), held in Veliko Tarnovo, Bulgaria to exchange information on current topics in differential geometry, information geometry and applications. These contributions from active specialists in differential geometry provide significant information on research papers which cover geometric structures, concrete Lie group theory and information geometry. This volume is invaluable not only for researchers in this special area but also for those who are interested in interdisciplinary areas in differential geometry, complex analysis, probability theory and mathematical physics. It also serves as a good guide to graduate students in the field of differential geometry.
Publisher: World Scientific
ISBN: 9814355461
Category : Mathematics
Languages : en
Pages : 207
Book Description
This volume contains the contributions by the main participants of the 2nd International Colloquium on Differential Geometry and its Related Fields (ICDG2010), held in Veliko Tarnovo, Bulgaria to exchange information on current topics in differential geometry, information geometry and applications. These contributions from active specialists in differential geometry provide significant information on research papers which cover geometric structures, concrete Lie group theory and information geometry. This volume is invaluable not only for researchers in this special area but also for those who are interested in interdisciplinary areas in differential geometry, complex analysis, probability theory and mathematical physics. It also serves as a good guide to graduate students in the field of differential geometry.