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From the Preface: "From the 1950s until 1968, the theory of finite groups underwent an intense period of growth, including the first major classification theorem concerning simple groups as well as the construction of the first new sporadic simple group in a hundred years. In writing this book, my aim was to describe that development in sufficient detail for the interested reader to reach the frontiers of the subject and thereby participate in the excitement that then surrounded the study of simple groups ... In the intervening ten years [since the first edition of this work], an equally dramatic change has occurred ... a complete classification of the finite simple groups has now almost approached a reality ... Literally thousands of journal pages have been devoted to their study and powerful new techniques have been developed ... In most instances, these developments constitute a continuation rather than a replacement of the material in this book." ... Read more

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The classification of finite simple groups is a landmark result of modern mathematics. The original proof is spread over scores of articles by dozens of researchers. In this multivolume book, the authors are assembling the proof with explanations and references. It is a monumental task. The book, along with background from sections of the previous volumes, presents critical aspects of the classification. Continuing the proof of the classification theorem which began in the previous five volumes (Surveys of Mathematical Monographs, Volumes 40.1.E, 40.2, 40.3, 40.4, and 40.5), in this volume, the authors provide the classification of finite simple groups of special odd type (Theorems $\mathcal{C}_2$ and $\mathcal{C}_3$, as stated in the first volume of the series). The book is suitable for graduate students and researchers interested in group theory. ... Read more

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With the classification of finite groups an era of research in that subject ended. In this symposium volume twenty-nine key figures in the classification programme analyse the likely directions research will take in the future. ... Read more

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Kapitel: Israel Gelfand, Robert Hermann, Daniel Gorenstein, Joel Lebowitz, Jean Taylor, Ingrid Daubechies, François Treves. Aus Wikipedia. Nicht dargestellt. Auszug: Ingrid Daubechies (born 17 August 1954) (pronounced "DOHB-shee") is a Belgian physicist and mathematician and currently Professor in the mathematics and applied mathematics departments at Princeton University. In January 2011 she will move to Duke University as a Professor in mathematics. She is best known for her work with wavelets in image compression. Daubechies was born in Houthalen, Belgium, as the daughter of Marcel Daubechies (a civil mining engineer) and Simonne Duran (then a homemaker, later a criminologist). Daubechies completed her undergraduate studies in physics at the Vrije Universiteit Brussel in 1975. She obtained her Ph.D. in theoretical physics in 1980, and continued her research career at that institution until 1987, rising through the ranks to positions roughly equivalent with research assistant-professor in 1981 and research associate-professor 1985. In 1985 Daubechies met mathematician Robert Calderbank, then on a 3-month exchange visit from AT ... Read more

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176 page BINDER-READY, LOOSE LEAF single-sided REPRINT document on 20 pound paper in 65 pound covers specifically designed for college study. The back side of the pages of the document are suitable for note taking. BINDER NOT INCLUDED. ... Read more

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3052 reviews of papers, which appeared in MR between 1940 and1970, are included in this volume. These reviews, with an authorindex, are arranged under 223 subject headings, and appear intheir entirety. ... Read more