Author : Charles A. Weibel
Publisher : American Mathematical Soc.
Page : 634 pages
File Size : 47,39 MB
Release : 2013-06-13
Category : Mathematics
ISBN : 0821891324
Informally, $K$-theory is a tool for probing the structure of a mathematical object such as a ring or a topological space in terms of suitably parameterized vector spaces and producing important intrinsic invariants which are useful in the study of algebr
Author : Paul M. Cohn
Publisher : Springer Science & Business Media
Page : 234 pages
File Size : 43,82 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1447104757
A clear and structured introduction to the subject. After a chapter on the definition of rings and modules there are brief accounts of Artinian rings, commutative Noetherian rings and ring constructions, such as the direct product, Tensor product and rings of fractions, followed by a description of free rings. Readers are assumed to have a basic understanding of set theory, group theory and vector spaces. Over two hundred carefully selected exercises are included, most with outline solutions.
Author : Gary Russell
Publisher : Houghton Mifflin
Page : 0 pages
File Size : 22,37 MB
Release : 2002
Category : Animated films
ISBN : 9780618212903
Contains five hundred exclusive images, including pencil sketches and conceptual drawings, which helped shape the film "The Fellowship of the Ring."
Author : S.K. Jain
Publisher : Springer Science & Business Media
Page : 330 pages
File Size : 15,95 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461219787
Author : Minjia Shi
Publisher : Academic Press
Page : 320 pages
File Size : 28,12 MB
Release : 2017-06-12
Category : Mathematics
ISBN : 0128133910
Codes and Rings: Theory and Practice is a systematic review of literature that focuses on codes over rings and rings acting on codes. Since the breakthrough works on quaternary codes in the 1990s, two decades of research have moved the field far beyond its original periphery. This book fills this gap by consolidating results scattered in the literature, addressing classical as well as applied aspects of rings and coding theory. New research covered by the book encompasses skew cyclic codes, decomposition theory of quasi-cyclic codes and related codes and duality over Frobenius rings. Primarily suitable for ring theorists at PhD level engaged in application research and coding theorists interested in algebraic foundations, the work is also valuable to computational scientists and working cryptologists in the area. - Consolidates 20+ years of research in one volume, helping researchers save time in the evaluation of disparate literature - Discusses duality formulas in the context of Frobenius rings - Reviews decomposition of quasi-cyclic codes under ring action - Evaluates the ideal and modular structure of skew-cyclic codes - Supports applications in data compression, distributed storage, network coding, cryptography and across error-correction
Author : Floyd Cooper
Publisher : Penguin
Page : 34 pages
File Size : 15,51 MB
Release : 2017-04-04
Category : Juvenile Fiction
ISBN : 0399167404
Mama’s getting married, and Jackson has an important job to do! A story about love, weddings, and the special joy that is a blended family. Jackson’s mama is getting married, and he gets to be the ring bearer. But Jackson is worried . . . What if he trips? Or walks too slowly? Or drops the rings? And what about his new stepsister, Sophie? She’s supposed to be the flower girl, but Jackson’s not sure she’s taking her job as seriously as she should. In a celebration of blended families, this heartwarming story, stunningly illustrated by the award-winning Floyd Cooper, is a perfect gift for any child who's nervous to walk down the aisle at a wedding, and shows kids that they can handle life’s big changes. Praise for The Ring Bearer: "Throughout, Cooper's softly textured mixed-media illustrations offer a warm, affirming depiction of this black family's life and love together . . . Readers will be joining the congregation in cheering for Jackson."--Kirkus Reviews "Written with simplicity, immediacy, and warmth....Cooper creates beautiful effects with subtle colors, textures, and suffused light in the soft-focus paintings. A heartening, reassuring picture book."--Booklist "Children will identify readily with Jackson’s fears and enjoy the way he overcomes them. A solid purchase for any picture book collection."--School Library Journal "Many children experience parental weddings, and these times are filledwith joy and nervousness. Cooper captures each moment."--Horn Book
Author : John Willard Milnor
Publisher : Princeton University Press
Page : 204 pages
File Size : 48,40 MB
Release : 1971
Category : Mathematics
ISBN : 9780691081014
Algebraic K-theory describes a branch of algebra that centers about two functors. K0 and K1, which assign to each associative ring ∧ an abelian group K0∧ or K1∧ respectively. Professor Milnor sets out, in the present work, to define and study an analogous functor K2, also from associative rings to abelian groups. Just as functors K0 and K1 are important to geometric topologists, K2 is now considered to have similar topological applications. The exposition includes, besides K-theory, a considerable amount of related arithmetic.
Author : William Henry Besant
Publisher :
Page : 390 pages
File Size : 46,1 MB
Release : 1920
Category : Fluid mechanics
ISBN :
Author : Jan-Hendrik Evertse
Publisher : Cambridge University Press
Page : 477 pages
File Size : 50,3 MB
Release : 2017
Category : Mathematics
ISBN : 1107097614
The first comprehensive and up-to-date account of discriminant equations and their applications. For graduate students and researchers.
Author : Max Karoubi
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 28,38 MB
Release : 2009-11-27
Category : Mathematics
ISBN : 3540798900
From the Preface: K-theory was introduced by A. Grothendieck in his formulation of the Riemann- Roch theorem. For each projective algebraic variety, Grothendieck constructed a group from the category of coherent algebraic sheaves, and showed that it had many nice properties. Atiyah and Hirzebruch considered a topological analog defined for any compact space X, a group K{X) constructed from the category of vector bundles on X. It is this ''topological K-theory" that this book will study. Topological K-theory has become an important tool in topology. Using K- theory, Adams and Atiyah were able to give a simple proof that the only spheres which can be provided with H-space structures are S1, S3 and S7. Moreover, it is possible to derive a substantial part of stable homotopy theory from K-theory. The purpose of this book is to provide advanced students and mathematicians in other fields with the fundamental material in this subject. In addition, several applications of the type described above are included. In general we have tried to make this book self-contained, beginning with elementary concepts wherever possible; however, we assume that the reader is familiar with the basic definitions of homotopy theory: homotopy classes of maps and homotopy groups.Thus this book might be regarded as a fairly self-contained introduction to a "generalized cohomology theory".
