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Topology and Analysis: The Atiyah-Singer Index Formula and Gauge-Theoretic Physics (Universitext) - Softcover
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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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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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- VerlagSpringer US
- Erscheinungsdatum1985
- ISBN 10 0387961127
- ISBN 13 9780387961125
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten468
- Kontakt zum HerstellerNicht verfügbar
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Topology and Analysis : The Atiyah-Singer Index Formula and Gauge-Theoretic Physics
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Topology and Analysis: The Atiyah-Singer Index Formula and Gauge-Theoretic Physics (Universitext)
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Topology and Analysis
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 468 pp. Englisch. Bestandsnummer des Verkäufers 9780387961125
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Topology and Analysis
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Springer New York, Springer New York Dez 1984, 1984
ISBN 10: 0387961127
ISBN 13: 9780387961125
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Taschenbuch. Zustand: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 468 pp. Englisch. Bestandsnummer des Verkäufers 9780387961125
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Topology and Analysis : The Atiyah-Singer Index Formula and Gauge-Theoretic Physics
Verlag:
Springer New York, Springer New York, 1984
ISBN 10: 0387961127
ISBN 13: 9780387961125
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Bestandsnummer des Verkäufers 9780387961125
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Topology and Analysis: The Atiyah-Singer Index Formula and Gauge-Theoretic Physics (Universitext)
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Topology and Analysis: The Atiyah-Singer Index Formula and Gauge-Theoretic Physics
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Springer-Verlag New York Inc., 1984
ISBN 10: 0387961127
ISBN 13: 9780387961125
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Topology and analysis. the atiyah-singer index formula and gauge-theoretic physics.
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23 cm. original paperback. xvi,452 pp. diagrams. bibliography. index. "Universitext". -(few signs of use, spine sunned, otherwise (very) good). 725g. Bestandsnummer des Verkäufers 70836
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Topology and Analysis
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