Download or read book Syzygies Tables written by Jean Meeus and published by . This book was released on 1963 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Graded Syzygies written by Irena Peeva and published by Springer Science & Business Media. This book was released on 2010-11-29 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of free resolutions is a core and beautiful area in Commutative Algebra. The main goal of this book is to inspire the readers and develop their intuition about syzygies and Hilbert functions. Many examples are given in order to illustrate ideas and key concepts. A valuable feature of the book is the inclusion of open problems and conjectures; these provide a glimpse of exciting, and often challenging, research directions in the field. Three types of problems are presented: Conjectures, Problems, and Open-Ended Problems. The latter do not describe specific problems but point to interesting directions for exploration. The first part of the monograph contains basic background material on graded free resolutions. Further coverage of topics includes syzygies over a polynomial ring, resolutions over quotient rings, lex ideals and Hilbert functions, compression, resolutions of monomial ideals, and syzygies of toric ideals. With a clear and self-contained exposition this text is intended for advanced graduate students and postdoctorates; it will be also of interest to senior mathematicians.
Download or read book A Survey of European Astronomical Tables in the Late Middle Ages written by José Chabás and published by BRILL. This book was released on 2012-05-31 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a survey of the numerous astronomical tables compiled in the late Middle Ages, which represent a major intellectual enterprise. Such tables were often the best way available at the time for transmitting precise information to the reader.
Download or read book The Toledan Tables written by Fritz Saaby Pedersen and published by Kgl. Danske Videnskabernes Selskab. This book was released on 2002 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Syzygies and Homotopy Theory written by F.E.A. Johnson and published by Springer Science & Business Media. This book was released on 2011-11-17 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most important invariant of a topological space is its fundamental group. When this is trivial, the resulting homotopy theory is well researched and familiar. In the general case, however, homotopy theory over nontrivial fundamental groups is much more problematic and far less well understood. Syzygies and Homotopy Theory explores the problem of nonsimply connected homotopy in the first nontrivial cases and presents, for the first time, a systematic rehabilitation of Hilbert's method of syzygies in the context of non-simply connected homotopy theory. The first part of the book is theoretical, formulated to allow a general finitely presented group as a fundamental group. The innovation here is to regard syzygies as stable modules rather than minimal modules. Inevitably this forces a reconsideration of the problems of noncancellation; these are confronted in the second, practical, part of the book. In particular, the second part of the book considers how the theory works out in detail for the specific examples Fn ́F where Fn is a free group of rank n and F is finite. Another innovation is to parametrize the first syzygy in terms of the more familiar class of stably free modules. Furthermore, detailed description of these stably free modules is effected by a suitable modification of the method of Milnor squares. The theory developed within this book has potential applications in various branches of algebra, including homological algebra, ring theory and K-theory. Syzygies and Homotopy Theory will be of interest to researchers and also to graduate students with a background in algebra and algebraic topology.
Download or read book The Collected Mathematical Papers of Arthur Cayley written by Arthur Cayley and published by . This book was released on 1896 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Astronomy in the Iberian Peninsula written by José Chabás and published by American Philosophical Society. This book was released on 2000 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abraham Zacut (1452-1515) of Salamanca was an outstanding intellectual figure in the Spanish Jewish community on the eve of the expulsion in 1492. His scientific work began in the 1470s, & continued in exile, in Portugal, N. Africa, & ultimately in Jerusalem. This monograph focuses on some of his important contributions to astronomy, namely, those that appear in the book published in Leiria, Portugal, in 1496, generally known as the "Almanach Perpetuum"; this publication is to be distinguished from "ha-Hibbur ha-gadol" ("The Great Composition") that Zacut composed in Hebrew in 1478. Indeed, one of the findings in the course of research for this vol. is that these are distinct works. Bibliography. Charts & tables.
Download or read book The Geometry of Syzygies written by David Eisenbud and published by Springer Science & Business Media. This book was released on 2006-10-28 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: First textbook-level account of basic examples and techniques in this area. Suitable for self-study by a reader who knows a little commutative algebra and algebraic geometry already. David Eisenbud is a well-known mathematician and current president of the American Mathematical Society, as well as a successful Springer author.
Download or read book The Elements of Astronomy Physical and Geometrical written by David Gregory and published by . This book was released on 1715 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Astronomy in Copernicus De Revolutionibus written by N.M. Swerdlow and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 709 pages. Available in PDF, EPUB and Kindle. Book excerpt: When I first laid out the framework for A History of Ancient Mathe matical Astronomy, I intended to carry the discussion down to the last applications of Greek astronomical methodology, i. e. Copernicus, Brahe, and Kepler. But as the work proceeded, it became evident that this plan was much too ambitious, and so I decided to terminate my History with late antiquity, well before Islam. Nevertheless, I did not discard the running commentary that I had prepared when studying De revolutionibus in its relation to the methodology of the Almagest. Only recently, E. S. Kennedy and his collaborators had opened access to the" Maragha School" (mainly Ibn ash-Shalir), revealing close parallels to Copernicus's procedures. Accordingly, it seemed useful to make available a modern analysis of De revolutionibus, and thus in 1975 I prepared for publication "Notes on Copernicus. " In the meantime, however, Noel Swerdlow, also starting from Greek astronomy, not only extended his work into a deep analysis of De revolu tionibus, but also systematically investigated its sources and predecessors (Peurbach, Regiomontanus, etc. ). I was aware of these studies through his publications as well as from numerous conversations on the subject at The Institute for Advanced Study and at Brown University. It became clear to me that my own investigations lay at too superficial a level, and I therefore withdrew my manuscript and suggested to Swerdlow that he undertake a thoroughgoing revision and amplification of my "Notes. " His acceptance of my proposal initiated the present publication.
Download or read book Syzygies and Hilbert Functions written by Irena Peeva and published by CRC Press. This book was released on 2007-03-20 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilbert functions and resolutions are both central objects in commutative algebra and fruitful tools in the fields of algebraic geometry, combinatorics, commutative algebra, and computational algebra. Spurred by recent research in this area, Syzygies and Hilbert Functions explores fresh developments in the field as well as fundamental concepts.
Download or read book Philosophical Transactions Giving Some Account of the Present Undertakings Studies and Labours of the Ingenious in Many Considerable Parts of the World written by and published by . This book was released on 1872 with total page 886 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Philosophical Transactions of the Royal Society of London written by Royal Society (Great Britain) and published by . This book was released on 1868 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Elements of Astronomy Physical and Geometrical By David Gregory Done Into English with Additions and Corrections To which is Annex d Dr Halley s Synopsis of the Astronomy of Comets written by David Gregory (Savilian Professor at Oxford.) and published by . This book was released on 1715 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Collected Mathematical Papers written by Arthur Cayley and published by . This book was released on 1894 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cohomology of Vector Bundles and Syzygies written by Jerzy Weyman and published by Cambridge University Press. This book was released on 2003-06-09 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central theme of this book is an exposition of the geometric technique of calculating syzygies. It is written from a point of view of commutative algebra, and without assuming any knowledge of representation theory the calculation of syzygies of determinantal varieties is explained. The starting point is a definition of Schur functors, and these are discussed from both an algebraic and geometric point of view. Then a chapter on various versions of Bott's Theorem leads on to a careful explanation of the technique itself, based on a description of the direct image of a Koszul complex. Applications to determinantal varieties follow, plus there are also chapters on applications of the technique to rank varieties for symmetric and skew symmetric tensors of arbitrary degree, closures of conjugacy classes of nilpotent matrices, discriminants and resultants. Numerous exercises are included to give the reader insight into how to apply this important method.
