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Author: Sergei Petrovich Novikov
Publisher: American Mathematical Soc.
ISBN: 9780821883952
Category :
Languages : en
Pages : 633
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Book Description
Author: Sergei Petrovich Novikov
Publisher: American Mathematical Soc.
ISBN: 9780821883952
Category :
Languages : en
Pages : 633
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Book Description
Author: Сергей Петрович Новиков
Publisher: American Mathematical Soc.
ISBN: 0821839292
Category : Diffentiable manifolds
Languages : en
Pages : 658
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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.
Author: Walter A. Poor
Publisher: Courier Corporation
ISBN: 0486151913
Category : Mathematics
Languages : en
Pages : 352
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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.
Author: Carlos R Borges
Publisher: World Scientific
ISBN: 9811237441
Category : Mathematics
Languages : en
Pages : 174
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Book Description
The textbook is a very good start into the mathematical field of topology. A variety of topological concepts with some elementary applications are introduced. It is organized in such a way that the reader gets to significant applications quickly.This revised version corrects the many discrepancies in the earlier edition. The emphasis is on the geometric understanding and the use of new concepts, indicating that topology is really the language of modern mathematics.
Author: V. I. Arnold
Publisher: Cambridge University Press
ISBN: 1139493442
Category : Mathematics
Languages : en
Pages : 91
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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.
Author: Bjørn Felsager
Publisher:
ISBN:
Category : Electromagnetism
Languages : en
Pages : 668
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Book Description
Teil 1: Basic properties of particles and fields. Teil 2: Basic principles and applications of differential geometry
Author: B.A. Dubrovin
Publisher: Springer Science & Business Media
ISBN: 146121100X
Category : Mathematics
Languages : en
Pages : 447
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Book Description
Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how such courses should be brought up to date, that is to say, which parts of modern geometry should be regarded as absolutely essential to a modern mathematical education, and what might be the appropriate level of abstractness of their exposition. The task of designing a modernized course in geometry was begun in 1971 in the mechanics division of the Faculty of Mechanics and Mathematics of Moscow State University. The subject-matter and level of abstractness of its exposition were dictated by the view that, in addition to the geometry of curves and surfaces, the following topics are certainly useful in the various areas of application of mathematics (especially in elasticity and relativity, to name but two), and are therefore essential: the theory of tensors (including covariant differentiation of them); Riemannian curvature; geodesics and the calculus of variations (including the conservation laws and Hamiltonian formalism); the particular case of skew-symmetric tensors (i. e.
Author: B.A. Dubrovin
Publisher: Springer Science & Business Media
ISBN: 0387961623
Category : Mathematics
Languages : en
Pages : 452
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Book Description
Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how such courses should be brought up to date, that is to say, which parts of modern geometry should be regarded as absolutely essential to a modern mathematical education, and what might be the appropriate level of abstractness of their exposition. The task of designing a modernized course in geometry was begun in 1971 in the mechanics division of the Faculty of Mechanics and Mathematics of Moscow State University. The subject-matter and level of abstractness of its exposition were dictated by the view that, in addition to the geometry of curves and surfaces, the following topics are certainly useful in the various areas of application of mathematics (especially in elasticity and relativity, to name but two), and are therefore essential: the theory of tensors (including covariant differentiation of them); Riemannian curvature; geodesics and the calculus of variations (including the conservation laws and Hamiltonian formalism); the particular case of skew-symmetric tensors (i. e.
Author: Vladimir Rovenski
Publisher: Springer Nature
ISBN: 3031505867
Category :
Languages : en
Pages : 323
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Book Description
Author: Javier De Lucas Araujo
Publisher: World Scientific
ISBN: 1786346990
Category : Mathematics
Languages : en
Pages : 425
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Book Description
The book presents a comprehensive guide to the study of Lie systems from the fundamentals of differential geometry to the development of contemporary research topics. It embraces several basic topics on differential geometry and the study of geometric structures while developing known applications in the theory of Lie systems. The book also includes a brief exploration of the applications of Lie systems to superequations, discrete systems, and partial differential equations.Offering a complete overview from the topic's foundations to the present, this book is an ideal resource for Physics and Mathematics students, doctoral students and researchers.
