Research Catalog
Modern geometry : methods and applications
- Title
- Modern geometry : methods and applications / B. A. Dubrovin, A. T. Fomenko, [and] S. P. Novikov ; translated by Robert G. Burns.
- Author
- Dubrovin, B. A. (Boris Anatolʹevich)
- Publication
- New York : Springer-Verlag, ©1984-©1990.
Items in the Library & Off-site
Filter by
1 Item
| Status | Vol/Date | Format | Access | Call Number | Item Location |
|---|---|---|---|---|---|
| pt. 1 | Text | Use in library | QA445 .D82 1984 pt. 1 | Off-site |
Details
- Additional Authors
- Description
- 3 volumes : illustrations; 24 cm
- Summary
- Part I. The geometry of surfaces, transformation groups, and fields. 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. This material is explained in as simple and concrete a language as possible, in terminology acceptable to physicists.
- Part II. The geometry and topology of manifolds. This is the second volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include homotopy groups, fibre bundles, dynamical systems, and foliations. The exposition is simple and concrete, and in a terminology palatable to physicists.
- Part III. Introduction to homology theory. Over the past 15 years, the geometrical and topological methods of the theory of manifolds have assumed a central role in the most advanced areas of pure and applied mathematics as well as theoretical physics. This third volume concentrates on homology theory. It contains an introduction to the contemporary methods for the calculation of homotopy groups and the classification of manifolds. Both scientists and students of mathematics as well as theoretical physics will find this book to be a valuable reference and text.
- Series Statement
- Springer series in Soviet mathematics
- Graduate texts in mathematics ; 93, 104, 124
- Uniform Title
- Sovremennai︠a︡ geometrii︠a︡. English
- Springer series in Soviet mathematics
- Graduate texts in mathematics ; 93.
- Graduate texts in mathematics ; 104.
- Graduate texts in mathematics ; 124.
- Alternative Title
- Sovremennai︠a︡ geometrii︠a︡.
- Methods and applications
- Subject
- Geometry
- Geometry, Algebraic
- Geometry, Differential
- Geometry, Infinitesimal
- Manifolds (Mathematics)
- Transformation groups
- Topology
- Mathematics
- geometry
- Transformation groups
- Topology
- Mathematics
- Geometry, Infinitesimal
- Geometry, Differential
- Geometry, Algebraic
- Geometry
- Meetkunde
- Geometria
- Geometria Diferencial
- Homology theory
- Géométrie
- Genre/Form
- Instructional and educational works
- Instructional and educational works.
- Matériel d'éducation et de formation.
- Note
- "Original Russian edition: Sovremennaja geometria: metody i priloz̆enia. Moskva: Nauka, 1979." --t.p. verso.
- Bibliography (note)
- Includes bibliographies and indexes.
- Contents
- pt. 1. The geometry of surfaces, transformation groups, and fields. -- pt. 2. The geometry and topology of manifolds -- pt. 3. Introduction to homology theroy.
- ISBN
- 0387908722
- 9780387908724
- 0387972714
- 9780387972718
- 0387961623
- 9780387961620
- 3540961623
- 9783540961628
- 3540972714
- 9783540972716
- 3540908722
- 9783540908722
- LCCN
- 83016851
- OCLC
- ocm09918977
- 9918977
- SCSB-93912
- Owning Institutions
- Princeton University Library