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Topology and Analysis: The Atiyah-Singer Index Formula and Gauge-Theoretic Physics

Door B. Booss e.a.

Categorie	Algemeen wetenschap
Boeknummer	#342412-ZA25
Titel	Topology and Analysis: The Atiyah-Singer Index Formula and Gauge-Theoretic Physics
Auteur	Booss , B. & D.D. Bleecker
Boektype	Paperback
Uitgeverij	New York : Springer-Verlag
Jaar van uitgave	1987
ISBN10	0387961127
ISBN13	9780387961125
Taal	Engels
Beschrijving	Paperback, illustrated with numerous equations and diagrams, 8vo. Universitext.
Samenvatting	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. 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 tentativel... (Lees verder)y 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.
Pagina's	541
Conditie	Goed — Spine slightly discoloured.
Prijs	€ 30,00

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