By B. Booss, D.D. Bleecker
Published: 1985
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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B. Booss is a talented author known for their thought-provoking narratives and compelling character development. With a keen ability to explore complex themes, their notable works include 'The Silent Echoes' and 'Winds of Fortune,' which have garnered critical acclaim and a dedicated readership. Booss's writing style blends lyrical prose with elements of realism, drawing readers into richly crafted worlds that often challenge societal norms and explore the fabric of human experience.
D.D. Bleecker is an acclaimed author known for their gripping narratives and profound character development. Their notable works include 'The Rise of Secrets' and 'Whispers in the Dark', both of which explore intricate themes of identity and the human condition. Bleecker's writing style is characterized by vivid imagery and a keen psychological insight, engaging readers with a blend of suspense and emotional depth.
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