» » Modern Geometry ― Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields (Graduate Texts in Mathematics) (Pt. 1)

Modern Geometry ― Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields (Graduate Texts in Mathematics) (Pt. 1) ePub download

by A.T. Fomenko,S.P. Novikov,R.G. Burns,B.A. Dubrovin

  • Author: A.T. Fomenko,S.P. Novikov,R.G. Burns,B.A. Dubrovin
  • ISBN: 0387976639
  • ISBN13: 978-0387976631
  • ePub: 1879 kb | FB2: 1311 kb
  • Language: English
  • Category: Mathematics
  • Publisher: Springer; 2nd edition (November 11, 1991)
  • Pages: 470
  • Rating: 4.5/5
  • Votes: 547
  • Format: rtf docx lrf lrf
Modern Geometry ― Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields (Graduate Texts in Mathematics) (Pt. 1) ePub download

The book's chapters are for the most part independent. 5. There is virtually no prerequisite knowledge for this text, and yet it provides enough to not bore even the "sophisticated reader", for even they will no doubt learn something from the elegeant presentation

The book's chapters are for the most part independent. There is virtually no prerequisite knowledge for this text, and yet it provides enough to not bore even the "sophisticated reader", for even they will no doubt learn something from the elegeant presentation. I only own the first volume, but I have looked at the others in libraries and I would say for the most part the above holds for them too, making this three-volume set truly a masterpiece, a pearl in the sea of mathematical literature

Read instantly in your browser. This book is a classic in the subject and I think is obligated to have in your library

Read instantly in your browser. Dubrovin (Author), . Fomenko (Author), . Novikov (Author), . Burns (Translator) & 1 more. This book is a classic in the subject and I think is obligated to have in your library. I recomended of people interested in the differential geometry read and read this book, is a nice piece of mathematics. One person found this helpful.

manifolds, transformation groups, and Lie algebras, as well as the basic concepts of visual . Authors: Dubrovin, . Table of contents (6 chapters). Geometry in Regions of a Space. Dubrovin, B. A. (et a.

manifolds, transformation groups, and Lie algebras, as well as the basic concepts of visual topology.

This book, written by some of the master expositors of modern mathematics, is an introduction to modern differential geometry with .

This book, written by some of the master expositors of modern mathematics, is an introduction to modern differential geometry with emphasis on concrete examples and concepts, and it is also targeted to a physics audience. Each topic is motivated with examples that help the reader appreciate the essentials of the subject, but rigor is not sacrificed in the book. In the first chapter the reader gets a taste of differentiable manifolds and Lie groups, the later gving rise to a discussion of Lie algebras by considering, as usual, the tangent space at the identity of the Lie group.

Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in. .

Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag. The GTM series is easily identified by a white band at the top of the book. Modern Geometry - Methods and Applications Part I: The Geometry of Surfaces, Transformation Groups, and Fields, B. Dubrovin, Anatoly Timofeevich Fomenko, Sergei Novikov (1992, 2nd e. ISBN 978-0-387-97663-1).

1: Geometry in Regions of a Spaces. 2: The Theory of Surfaces.

Modern Geometry ― Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields. oceedings{Dubrovin1984ModernG, title {Modern Geometry ― Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields}, author {Boris Dubrovin and Anatoliĭ Timofeevich Fomenko and Sergeĭ Petrovich Novikov}, year {1984} }. Boris Dubrovin, Anatoliĭ Timofeevich Fomenko, Sergeĭ Petrovich Novikov. 1: Geometry in Regions of a Spaces. 3: Tensors: The Algebraic Theory.

The three volumes of Modern Geometry - Methods and Applications contain a concrete exposition of these methods together with their main applications in mathematics and . Graduate Texts in Mathematics (1 - 10 of 60 books).

The three volumes of Modern Geometry - Methods and Applications contain a concrete exposition of these methods together with their main applications in mathematics and physics. It contains introductions to the contemporary methods for the calculation of homology groups and the classification of manifesto. Both scientists and students of mathematics as well as theoretical physics will find this book to be a valuable reference and text. Mor. rivia About Modern Geometry

This is the first volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics.

This is the first volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory.

Items related to Modern Geometry ― Methods and Applications . B. Dubrovin, A. T. Fomenko, I. S. Novikov.

Items related to Modern Geometry ― Methods and Applications:.

Carotid geometry effects on blood flow and on risk for vascular disease. Dieta Flexivel e Nutricao - Caio Bottura. Ana Cannas Da Silva - Lectures on Symplectic Geometry (2009, Springer). Uploaded by. Dunga Pessoa. Carotid geometry effects on blood flow and on risk for vascular disease. Um estudo sobre Espaços Vetoriais Simpleticos. FILHOS DE DEUS ISER web. Gelfand,Fomin - Calculus Of Variations.

This is the first volume of a three-volume introduction to modern geometry which emphasizes applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory. This new edition offers substantial revisions, and the material is written in concrete language with terminology acceptable to physicists.

Manazar
Very thorough, but very dense, at least from the undergraduate perspective. From the grad perspective, at least according to the authors, it is a quick and pseudorigorous treatment.
Wild Python
There's some great material that professor Novikov presents in this three volume set, indispensible to the mathematician and physicist. What seperates it (and elevates it) from it's numerous competitors in the differential geometry textbook line is the following:

1. He presents pretty much every idea in multiple ways and from multiple viewpoints, illustrating the ubiquity and flexibility of the ideas.
2. He gives concrete examples of the concepts so you can see them in action. The examples are selected from a very wide range of physical problems.
3. He presents the ideas in a formal setting first but then gives them in a form useful for actual computation or working problems one would actually encounter.
4. He segregates the material cleanly into what I would call "algebraic" and "differential" sections. Thus, if you are interested in only a specific viewpoint or topic, you can fairly well read that section independent of the others. The book's chapters are for the most part independent.
5. There is virtually no prerequisite knowledge for this text, and yet it provides enough to not bore even the "sophisticated reader", for even they will no doubt learn something from the elegeant presentation.

I only own the first volume, but I have looked at the others in libraries and I would say for the most part the above holds for them too, making this three-volume set truly a masterpiece, a pearl in the sea of mathematical literature.

Anyone iterested in a readable, relevant, viable introduction to the huge world of differential gometry will not be disappointed.
Perdana
Good!!
Froststalker
Students begin their study of mathematics using coordinate notation exclusively. By the time they get the chance to study differential geometry, it is useful and wise to establish coordinate free notations as much as possible. In doing that, most texts impose an unnecessary roadblock for students. The notation shifts in a way that is abstract and can be confusing. This text is very good because it makes the link from the most elementary to modern thinking, and it does so carefully. It is written in a style that is a little less fashionable now, but it is certainly not out of date or useless. I would not want my library to be without this book, and I use it to get better clarity on a lot of points. I much prefer the more modern language of tensors as multi-linear mappings, compared to the coordinate transformation language used here, but that is not a substantial problem. This book is very good. I have to comment that Semi-Riemannian Geometry, by O'Neill, while a little different in character, is also very important for learning modern geometry properly.
Acebiolane
While this is an excellent text on Geometry, the title is misleading : this is not a modern text on differential geometry, but a classical text where vectors and tensors for example, are defined as "objects that transform according to rule x".
Doriel
This book is a classic in the subject and I think is obligated to have in your library. I recomended of people interested in the differential geometry read and read this book, is a nice piece of mathematics
Danrad
..if you want to understand the much of Arnol'd's book on classical mechanics. Written for physicists in language that physicists can follow, the book starts with advanced calculus (geometry of surfaces and curves in 2D and 3D) and provides a readable and informative introduction to Riemannian geometry, including connections defined by structure coefficients of a Lie algebra, all the way through gauge theories. However, the books by Schutz and by Nakahara cover interesting topics not included here, so see them as well.
Written by prominent mathematicians it is the one of the best books on the topic .

The language of the book is very simple so it is suitable for physics ...
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