Download or read book Raoul Bott Collected Papers written by Loring W. Tu and published by Birkhäuser. This book was released on 2018-03-26 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the fifth and final volume of Raoul Bott’s Collected Papers. It collects all of Bott’s published articles since 1991 as well as some articles published earlier but missing in the earlier volumes. The volume also contains interviews with Raoul Bott, several of his previously unpublished speeches, commentaries by his collaborators such as Alberto Cattaneo and Jonathan Weitsman on their joint articles with Bott, Michael Atiyah’s obituary of Raoul Bott, Loring Tu’s authorized biography of Raoul Bott, and reminiscences of Raoul Bott by his friends, students, colleagues, and collaborators, among them Stephen Smale, David Mumford, Arthur Jaffe, Shing-Tung Yau, and Loring Tu. The mathematical articles, many inspired by physics, encompass stable vector bundles, knot and manifold invariants, equivariant cohomology, and loop spaces. The nonmathematical contributions give a sense of Bott’s approach to mathematics, style, personality, zest for life, and humanity. In one of the articles, from the vantage point of his later years, Raoul Bott gives a tour-de-force historical account of one of his greatest achievements, the Bott periodicity theorem. A large number of the articles originally appeared in hard-to-find conference proceedings or journals. This volume makes them all easily accessible. It also features a collection of photographs giving a panoramic view of Raoul Bott's life and his interaction with other mathematicians.
Download or read book Raoul Bott Collected Papers written by Loring W. Tu and published by Birkhäuser. This book was released on 2018-04-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the fifth and final volume of Raoul Bott’s Collected Papers. It collects all of Bott’s published articles since 1991 as well as some articles published earlier but missing in the earlier volumes. The volume also contains interviews with Raoul Bott, several of his previously unpublished speeches, commentaries by his collaborators such as Alberto Cattaneo and Jonathan Weitsman on their joint articles with Bott, Michael Atiyah’s obituary of Raoul Bott, Loring Tu’s authorized biography of Raoul Bott, and reminiscences of Raoul Bott by his friends, students, colleagues, and collaborators, among them Stephen Smale, David Mumford, Arthur Jaffe, Shing-Tung Yau, and Loring Tu. The mathematical articles, many inspired by physics, encompass stable vector bundles, knot and manifold invariants, equivariant cohomology, and loop spaces. The nonmathematical contributions give a sense of Bott’s approach to mathematics, style, personality, zest for life, and humanity. In one of the articles, from the vantage point of his later years, Raoul Bott gives a tour-de-force historical account of one of his greatest achievements, the Bott periodicity theorem. A large number of the articles originally appeared in hard-to-find conference proceedings or journals. This volume makes them all easily accessible. It also features a collection of photographs giving a panoramic view of Raoul Bott's life and his interaction with other mathematicians.
Download or read book Raoul Bott Collected Papers written by Raoul Bott and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematics Related to Physics written by Raoul Bott and published by Springer Science & Business Media. This book was released on 1994-12-19 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Collected Papers of Raoul Bott are contained in five volumes, with each volume covering a different subject and each representing approximately a decade of Bott's work. The volumes are: Volume 1: Topology and Lie Groups (1950's) Volume 2: Differential Operators (1960's) Volume 3: Foliations (1970's) Volume 4: Mathematics Related to Physics (1980's) Volume 5: Completive Articles and Additional Biographic Material (1990's) Most of the papers in this volume deal with two physical-inspired themes: the Yang-Mills equations and the rigidity phenomena of vector bundles. It also contains Bott's own commentaries on a few of the papers, as well as a tribute by Clifford Taubes.
Download or read book Raoul Bott Collected Papers written by Robert D. MacPherson and published by Birkhäuser. This book was released on 1994-01-26 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Collected Papers of Raoul Bott are contained in five volumes, with each volume covering a different subject and each representing approximately a decade of Bott's work. The volumes are: Volume 1: Topology and Lie Groups (1950's) Volume 2: Differential Operators (1960's) Volume 3: Foliations (1970's) Volume 4: Mathematics Related to Physics (1980's) Volume 5: Completive Articles and Additional Biographic Material (1990's)
Download or read book Raoul Bott Collected Papers written by Robert D. MacPherson and published by Birkhäuser. This book was released on 1994-12-22 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Collected Papers of Raoul Bott are contained in five volumes, with each volume covering a different subject and each representing approximately a decade of Bott's work. The volumes are: Volume 1: Topology and Lie Groups (1950's) Volume 2: Differential Operators (1960's) Volume 3: Foliations (1970's) Volume 4: Mathematics Related to Physics (1980's) Volume 5: Completive Articles and Additional Biographic Material (1990's)
Download or read book Collected papers written by Raoul Bott and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Raoul Bott Collected Papers written by Robert D. MacPherson and published by Birkhäuser. This book was released on 2018-04-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Collected Papers of Raoul Bott are contained in five volumes, with each volume covering a different subject and each representing approximately a decade of Bott's work. The volumes are: Volume 1: Topology and Lie Groups (1950's) Volume 2: Differential Operators (1960's) Volume 3: Foliations (1970's) Volume 4: Mathematics Related to Physics (1980's) Volume 5: Completive Articles and Additional Biographic Material (1990's)
Download or read book Raoul Bott Collected Papers written by Robert D. MacPherson and published by Birkhäuser. This book was released on 2014-01-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Collected Papers of Raoul Bott are contained in five volumes, with each volume covering a different subject and each representing approximately a decade of Bott's work. The volumes are: Volume 1: Topology and Lie Groups (1950's) Volume 2: Differential Operators (1960's) Volume 3: Foliations (1970's) Volume 4: Mathematics Related to Physics (1980's) Volume 5: Completive Articles and Additional Biographic Material (1990's) This volume contains most of Raoul Bott's papers on the relations between topology and analysis. In the early 1960's, Bott, along with Atiyah, Hirzebruch, and Singer, brought about a revolution in this subject. It was an important development for twentieth century mathematics relying extensively on K-theory, as developed by Atiyah and Hirzebruch following the lead of Grothendieck in algebraic geometry, which in turn, depended on Bott's Periodicity Theorem (originally proved in Volume 1, and reproved in papers [33] and [35] of this volume).
Download or read book Raoul Bott Collected Papers written by Robert D. MacPherson and published by Birkhäuser. This book was released on 2012-08-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Collected Papers of Raoul Bott are contained in five volumes, with each volume covering a different subject and each representing approximately a decade of Bott's work. The volumes are: Volume 1: Topology and Lie Groups (1950's) Volume 2: Differential Operators (1960's) Volume 3: Foliations (1970's) Volume 4: Mathematics Related to Physics (1980's) Volume 5: Completive Articles and Additional Biographic Material (1990's) Most of the papers in this volume deal with two physical-inspired themes: the Yang-Mills equations and the rigidity phenomena of vector bundles. It also contains Bott's own commentaries on a few of the papers, as well as a tribute by Clifford Taubes.
Download or read book Differential Forms in Algebraic Topology written by Raoul Bott and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate. With its stress on concreteness, motivation, and readability, this book is equally suitable for self-study and as a one-semester course in topology.
Download or read book Collected Papers written by Raoul Bott and published by . This book was released on 1994 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Celebration of the Mathematical Legacy of Raoul Bott written by Peter Robert Kotiuga and published by American Mathematical Soc.. This book was released on 2010-01-01 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A History in Sum written by Steve Nadis and published by Harvard University Press. This book was released on 2013-11-01 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the twentieth century, American mathematicians began to make critical advances in a field previously dominated by Europeans. Harvard's mathematics department was at the center of these developments. A History in Sum is an inviting account of the pioneers who trailblazed a distinctly American tradition of mathematics--in algebraic geometry, complex analysis, and other esoteric subdisciplines that are rarely written about outside of journal articles or advanced textbooks. The heady mathematical concepts that emerged, and the men and women who shaped them, are described here in lively, accessible prose. The story begins in 1825, when a precocious sixteen-year-old freshman, Benjamin Peirce, arrived at the College. He would become the first American to produce original mathematics--an ambition frowned upon in an era when professors largely limited themselves to teaching. Peirce's successors transformed the math department into a world-class research center, attracting to the faculty such luminaries as George David Birkhoff. Influential figures soon flocked to Harvard, some overcoming great challenges to pursue their elected calling. A History in Sum elucidates the contributions of these extraordinary minds and makes clear why the history of the Harvard mathematics department is an essential part of the history of mathematics in America and beyond.
Download or read book The Collected Papers of Stephen Smale written by Stephen Smale and published by World Scientific. This book was released on 2000 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views.
Download or read book The Mathematical Heritage of Hermann Weyl written by Raymond O'Neil Wells and published by American Mathematical Soc.. This book was released on 1988 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hermann Weyl was one of the most influential mathematicians of the twentieth century. Viewing mathematics as an organic whole rather than a collection of separate subjects, Weyl made profound contributions to a wide range of areas, including analysis, geometry, number theory, Lie groups, and mathematical physics, as well as the philosophy of science and of mathematics. The topics he chose to study, the lines of thought he initiated, and his general perspective on mathematics have proved remarkably fruitful and have formed the basis for some of the best of modern mathematical research. This volume contains the proceedings of the AMS Symposium on the Mathematical Heritage of Hermann Weyl, held in May 1987 at Duke University. In addition to honoring Weyl's great accomplishments in mathematics, the symposium also sought to stimulate the younger generation of mathematicians by highlighting the cohesive nature of modern mathematics as seen from Weyl's ideas. The symposium assembled a brilliant array of speakers and covered a wide range of topics. All of the papers are expository and will appeal to a broad audience of mathematicians, theoretical physicists, and other scientists.
Download or read book Michael Atiyah Collected Works written by Michael Francis Atiyah and published by Oxford University Press. This book was released on 2014 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the greatest mathematicians in the world, Michael Atiyah has earned numerous honors, including a Fields Medal, the mathematical equivalent of the Nobel Prize. While the focus of his work has been in the areas of algebraic geometry and topology, he has also participated in research with theoretical physicists. For the first time, these volumes bring together Atiyah's collected papers--both monographs and collaborative works-- including those dealing with mathematical education and current topics of research such as K-theory and gauge theory. The volumes are organized thematically. They will be of great interest to research mathematicians, theoretical physicists, and graduate students in these areas.
