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Index Theory is one of the most exciting and consequential accomplishments of twentieth-century mathematics. The Founders of Index Theory contemplates the four great mathematicians who developed index theory—Sir Michael Atiyah, Raoul Bott, Friedrich Hirzebruch, and I.M. Singer—through the eyes of their students, collaborators and colleagues, their friends and family members, and themselves.
In addition to their own essays and correspondence—of historical importance—this volume presents a variety of material of a decidedly personal as well as compelling mathematical nature, written by some of their most notable students and long-time collaborators, including such leading current figures in mathematics and physics as Simon Donaldson, Edward Witten, and S.T. Yau. In these writings, one perceives the expansive influence of their work across various fields of mathematics and into theoretical physics.
At a time when the long and illustrious careers of Atiyah, Hirzebruch, and Singer are being recognized with birthday celebrations at Edinburgh, in Europe, and in Massachusetts, this second edition of Founders of Index Theory remembers the late and much beloved Raoul Bott—in the affectionate words of those three men, as well as family members and long-time friends and colleagues. What emerges is the portrait of a compelling mathematical mind informed by a warm and magnetic personality that was both a joy and inspiration to those who knew him.
This volume includes a generous collection of color and black-and-white photographs—many rarely seen—of the four principal figures together with their family, friends, and colleagues. These include numerous images of Bott dating from his early childhood to his last years at Harvard University.
The Founders of Index Theory, Second Edition is a valuable portrayal of four men who transformed mathematics in a profound manner, and who belong to a class of researchers whose interest and influence transcend the conventional boundaries of mathematical fields.
394 pages, plus 40 pages of color and black-white photographs.
- Sales Rank: #3728690 in Books
- Published on: 2009-07-02
- Ingredients: Example Ingredients
- Original language: English
- Dimensions: 10.00" h x 7.00" w x 1.00" l, 2.50 pounds
- Binding: Hardcover
- 394 pages
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1 of 1 people found the following review helpful.
Features historically significant essays and correspondences
By Midwest Book Review
The field of mathematics is a constantly evolving one with new discoveries and theories arising to challenge old methods and assumptions. Such was the case with the creation of 'Index Theory', the cumulative work of Sir Michael Atiyah, Raoul Bott, Friedrich Hirzebruch, and I.M. Singer. Now in a newly updated and expanded second edition, "The Founders of Index Theory" under the deft and knowledgeable editorship of S. T. Yau draws upon a wide and diverse variety of these four men's students and collaborators, a group which includes such notable and distinguished mathematicians and scientists as Simon Donaldson and Edward Witten. "The Founders of Index Theory" features historically significant essays and correspondences. Of special note for this second edition is the addition information showcasing the role of Raoul Bott drawn from family members and friends. The informed and informative text is enhanced with the inclusion of a large section of photos. A seminal and unique work of meticulous and painstaking scholarship, "The Founders of Index Theory" is especially recommended for academic library American Biography and History of Mathematics reference collections and supplemental reading lists.
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