Topology and Analysis

Name: Topology and Analysis
Brand: Springer-Verlag New York Inc.
SKU: 9780387961125
Price: 485.51 RON
Availability: InStock

The Atiyah-singer Index Formula and Gauge-theoretic Physics

Autor: David Bleecker

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Editura: Springer-Verlag New York Inc.

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The Motivation. With intensified use of mathematical ideas, the methods and techniques of the variou...

Informații despre carte

Autor

David Bleecker

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

1989

Pagini

468

EAN

9780387961125

ISBN

9780387961125

Enbook ID

06624959

Editura

Springer-Verlag New York Inc.

Greutate

651

Dimensiuni

156 x 234 x 23

Descriere completă

The Motivation. With intensified use of mathematical ideas, the methods and techniques of the various sciences and those for the solution of practical problems demand of the mathematician not only greater readi ness for extra-mathematical applications but also more comprehensive orientations within mathematics. In applications, it is frequently less important to draw the most far-reaching conclusions from a single mathe matical idea than to cover a subject or problem area tentatively by a proper "variety" of mathematical theories. To do this the mathematician must be familiar with the shared as weIl as specific features of differ ent mathematical approaches, and must have experience with their inter connections. The Atiyah-Singer Index Formula, "one of the deepest and hardest results in mathematics", "probably has wider ramifications in topology and analysis than any other single result" (F. Hirzebruch) and offers perhaps a particularly fitting example for such an introduction to "Mathematics": In spi te of i ts difficulty and immensely rich interrela tions, the realm of the Index Formula can be delimited, and thus its ideas and methods can be made accessible to students in their middle semesters. In fact, the Atiyah-Singer Index Formula has become progressively "easier" and "more transparent" over the years. The discovery of deeper and more comprehensive applications (see Chapter 111. 4) brought with it, not only a vigorous exploration of its methods particularly in the many facetted and always new presentations of the material by M. F.

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Topology and Analysis

The Atiyah-singer Index Formula and Gauge-theoretic Physics

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