Download or read book Continuous Geometry PMS 25 written by John von Neumann and published by . This book was released on 1960-12-21 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In his work on rings of operators in Hilbert space, John von Neumann discovered a new mathematical structure that resembled the lattice system Ln. In characterizing its properties, von Neumann founded the field of continuous geometry. This book, based on von Neumann's lecture notes, begins with the development of the axioms of continuous geometry, dimension theory, andDLfor the irreducible caseDLthe function D(a). The properties of regular rings are then discussed, and a variety of results are presented for lattices that are continuous geometries, for which irreducibility is not assumed. For students and researchers interested in ring theory or projective geometries, this book is required reading. This historic book should be in the hands of everyone interested in rings and projective geometry. DLR. J. Smith, The Australian Journal of Science Much in this book is still of great value, partly because it cannot be found elsewhere ... partly because of the very clear and comprehensible presentation. This makes the book valuable for a first study of continuous geometry as well as for research in this field. DLF. D. Veldkamp, Nieuw Archief voor Wiskunde

Download or read book Continuous Geometry written by John von Neumann and published by Princeton University Press. This book was released on 1998-05-10 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: In his work on rings of operators in Hilbert space, John von Neumann discovered a new mathematical structure that resembled the lattice system Ln. In characterizing its properties, von Newmann founded the field of continuous geometry. For students and researchers interested in ring theory or projective geometries, von Neumann discusses his findings and their applications.

Download or read book Etale Cohomology PMS 33 written by J. S. Milne and published by Princeton University Press. This book was released on 1980-04-21 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most important mathematical achievements of the past several decades has been A. Grothendieck's work on algebraic geometry. In the early 1960s, he and M. Artin introduced étale cohomology in order to extend the methods of sheaf-theoretic cohomology from complex varieties to more general schemes. This work found many applications, not only in algebraic geometry, but also in several different branches of number theory and in the representation theory of finite and p-adic groups. Yet until now, the work has been available only in the original massive and difficult papers. In order to provide an accessible introduction to étale cohomology, J. S. Milne offers this more elementary account covering the essential features of the theory. The author begins with a review of the basic properties of flat and étale morphisms and of the algebraic fundamental group. The next two chapters concern the basic theory of étale sheaves and elementary étale cohomology, and are followed by an application of the cohomology to the study of the Brauer group. After a detailed analysis of the cohomology of curves and surfaces, Professor Milne proves the fundamental theorems in étale cohomology -- those of base change, purity, Poincaré duality, and the Lefschetz trace formula. He then applies these theorems to show the rationality of some very general L-series. Originally published in 1980. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Download or read book Continuous geometry written by and published by . This book was released on 1967 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Continuous Geometry written by Neumann János and published by . This book was released on 1960 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Ring of a Continuous Geometry written by Christopher John Duckenfield and published by . This book was released on 1969 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Continuous geometry and other topics written by John von NEUMANN and published by . This book was released on with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Continuous Geometry written by Mary Katherine Bennett and published by . This book was released on 196? with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Continuous geometry foreword by I Halperin written by John Von Neumann and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Applying Mathematics written by Otávio Bueno and published by Oxford University Press. This book was released on 2018 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: How is that when scientists need some piece of mathematics through which to frame their theory, it is there to hand? Bueno and French offer a new approach to the puzzle of the applicability of mathematics, through a detailed examination of a series of case studies from the history of twentieth-century physics.

Download or read book Continuous geometry and other topics written by John Von Neumann and published by . This book was released on 1961 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Collected Works written by Johann von Neumann and published by . This book was released on 1962 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Collected Works written by and published by . This book was released on 1963 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Period Mappings and Period Domains written by James Carlson and published by Cambridge University Press. This book was released on 2017-08-24 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to Griffiths' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.

Download or read book Continuous Geometry by K Kodaira and S Furuya written by Kunihiko Kodaira and published by . This book was released on 1938 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Collected Works Vol 4 written by John von Neumann and published by . This book was released on 1962 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Theory of Lie Groups written by Claude Chevalley and published by Princeton University Press. This book was released on 2000-01-10 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This famous book was the first treatise on Lie groups in which a modern point of view was adopted systematically, namely, that a continuous group can be regarded as a global object. To develop this idea to its fullest extent, Chevalley incorporated a broad range of topics, such as the covering spaces of topological spaces, analytic manifolds, integration of complete systems of differential equations on a manifold, and the calculus of exterior differential forms. The book opens with a short description of the classical groups: unitary groups, orthogonal groups, symplectic groups, etc. These special groups are then used to illustrate the general properties of Lie groups, which are considered later. The general notion of a Lie group is defined and correlated with the algebraic notion of a Lie algebra; the subgroups, factor groups, and homomorphisms of Lie groups are studied by making use of the Lie algebra. The last chapter is concerned with the theory of compact groups, culminating in Peter-Weyl's theorem on the existence of representations. Given a compact group, it is shown how one can construct algebraically the corresponding Lie group with complex parameters which appears in the form of a certain algebraic variety (associated algebraic group). This construction is intimately related to the proof of the generalization given by Tannaka of Pontrjagin's duality theorem for Abelian groups. The continued importance of Lie groups in mathematics and theoretical physics make this an indispensable volume for researchers in both fields.