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For over 70 years, the Bieberbach conjecture has intrigued the mathematical world. Many students of mathematics, who have had a first course in function theory, have tried their hand at a proof. But many have invested fruitless years of carefully manipulating inequalities in an attempt to establish the correct bound. In 1977, Louis de Branges of Purdue University took up the challenge of this famous unsolved problem, but in his case the outcome was different. He will be recognized as the mathematician who proved Bieberbach's conjecture. And more importantly, his method came from totally unexpected sources: operator theory and special functions. This book, based on the Symposium on the Occasion of the Proof, tells the story behind this fascinating proof and offers insight into the nature of the conjecture, its history and its proof. A special and unusual feature of the book is the enlightened personal accounts of the people involved in the exciting events surrounding the proof. Especially attractive are the photographs of mathematicians who have made significant contributions to univalent functions, the area of complex analysis which provides the setting for the Bieberbach conjecture. Research mathematicians, especially analysts, are sure to enjoy the articles in this volume. Most articles require only a basic knowledge of real and complex analysis. The survey articles are accessible to non-specialists, and the personal accounts of all who have played a part in this important discovery will fascinate any reader. ``The remarks by de Branges himself about the discovery of his proof should be read by all young mathematicians. He describes the difficulty he had in convincing the experts in the field that a mathematician, whose work was considered to lie in an entirely different area, had actually proved a problem of such long standing. When a mathematician is sure that he has the solution of a problem, he must persist until he convinces others or is actually proved wrong.'' (Prepublication comments by James A. Hummel, The University of Maryland, College Park.) ... Read more

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This digital document is an article from Science and Its Times, brought to you by Gale®, a part of Cengage Learning, a world leader in e-research and educational publishing for libraries, schools and businesses.The length of the article is 108 words.The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase.You can view it with any web browser.The histories of science, technology, and mathematics merge with the study of humanities and social science in this interdisciplinary reference work. Essays on people, theories, discoveries, and concepts are combined with overviews, bibliographies of primary documents, and chronological elements to offer students a fascinating way to understand the impact of science on the course of human history and how science affects everyday life. Entries represent people and developments throughout the world, from about 2000 B.C. through the end of the twentieth century. ... Read more

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Chapters: Harald Von Boehmer, Gottfried Schatz, Werner Jaeger, Ludwig Bieberbach, Georg Klebs, Georg Beseler, Hermann Fehling, William Theilheimer, Carl Von Liebermeister, Simon Schwendener, Eugen Enderlen, Georg Meissner, Bernhard Duhm, Alfred Körte, Paul Wernle, Fritz de Quervain, Ferdinand Dümmler, Dominik Perler, August Socin, Karl Wilhelm Ludwig Bruch, Paul Herrling. Source: Wikipedia. Pages: 61. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Harald von Boehmer is a German/Swiss immunologist best known for his work on T lymphocytes. He obtained an M.D. from the Ludwig Maximilian University of Munich (1968) and a Ph.D. from Melbourne University, Australia (1974). He was a member of the Basel Institute for Immunology in Switzerland (1973-1996), director of Unité INSERM 373 at the René Descartes University in Paris, France and is Professor of Pathology at Harvard Medical School and the Faculty of Arts and Sciences of Harvard University, Cambridge and Chief of the Laboratory for Lymphocyte Biology at the Dana Farber Cancer Institute in Boston. He is also currently an adjunct professor at the University of Florida. Harald von Boehmer has studied the role of T lymphocytes in the immune system. In particular he has addressed the contribution of the T cell receptor (TCR) to recognition by T cells of peptide-MHC complexes by transfer of TCR alfa and beta genes from one T cell clone to another. Questions concerned with the role of positive and negative selection of developing T cells by peptide-MHC complexes in the thymus in generating an effective and self-tolerant immune system were analyzed in TCR transgenic mice. The same experimental system served the purpose to study the impact of TCR-ligation on developing T cells by MHC class I and MHC class II ligands on the intrathymic generation o...More: http://booksllc.net/?id=15260434 ... Read more

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This volume is produced from digital images created through the University of Michigan University Library's large-scale digitization efforts. The Library seeks to preserve the intellectual content of items in a manner that facilitates and promotes a variety of uses. The digital reformatting process results in an electronic version of the original text that can be both accessed online and used to create new print copies. The Library also understands and values the usefulness of print and makes reprints available to the public whenever possible. This book and hundreds of thousands of others can be found in the HathiTrust, an archive of the digitized collections of many great research libraries. For access to the University of Michigan Library's digital collections, please see http://www.lib.umich.edu and for information about the HathiTrust, please visit http://www.hathitrust.org ... Read more