The K Book

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The $K$-book

Author : Charles A. Weibel
Publisher : American Mathematical Soc.
Page : 618 pages
File Size : 51,6 Mb
Release : 2013-06-13
Category : Mathematics
ISBN : 9780821891322

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The $K$-book by Charles A. Weibel Pdf

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

The Cay

Author : Theodore Taylor
Publisher : Laurel Leaf
Page : 144 pages
File Size : 41,9 Mb
Release : 2011-09-28
Category : Juvenile Fiction
ISBN : 9780307800145

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The Cay by Theodore Taylor Pdf

For fans of Hatchet and Island of the Blue Dolphins comes Theodore Taylor’s classic bestseller and Lewis Carroll Shelf Award winner, The Cay. Phillip is excited when the Germans invade the small island of Curaçao. War has always been a game to him, and he’s eager to glimpse it firsthand–until the freighter he and his mother are traveling to the United States on is torpedoed. When Phillip comes to, he is on a small raft in the middle of the sea. Besides Stew Cat, his only companion is an old West Indian, Timothy. Phillip remembers his mother’s warning about black people: “They are different, and they live differently.” But by the time the castaways arrive on a small island, Phillip’s head injury has made him blind and dependent on Timothy. “Mr. Taylor has provided an exciting story…The idea that all humanity would benefit from this special form of color blindness permeates the whole book…The result is a story with a high ethical purpose but no sermon.”—New York Times Book Review “A taut tightly compressed story of endurance and revelation…At once barbed and tender, tense and fragile—as Timothy would say, ‘outrageous good.’”—Kirkus Reviews * “Fully realized setting…artful, unobtrusive use of dialect…the representation of a hauntingly deep love, the poignancy of which is rarely achieved in children’s literature.”—School Library Journal, Starred “Starkly dramatic, believable and compelling.”—Saturday Review “A tense and moving experience in reading.”—Publishers Weekly “Eloquently underscores the intrinsic brotherhood of man.”—Booklist "This is one of the best survival stories since Robinson Crusoe."—The Washington Star · A New York Times Best Book of the Year · A School Library Journal Best Book of the Year · A Horn Book Honor Book · An American Library Association Notable Book · A Publishers Weekly Children’s Book to Remember · A Child Study Association’s Pick of Children’s Books of the Year · Jane Addams Book Award · Lewis Carroll Shelf Award · Commonwealth Club of California: Literature Award · Southern California Council on Literature for Children and Young People Award · Woodward School Annual Book Award · Friends of the Library Award, University of California at Irvine

K-Theory

Author : Max Karoubi
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 44,8 Mb
Release : 2009-11-27
Category : Mathematics
ISBN : 9783540798903

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K-Theory by Max Karoubi Pdf

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".

Algebraic K-Theory and Its Applications

Author : Jonathan Rosenberg
Publisher : Springer Science & Business Media
Page : 404 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461243144

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Algebraic K-Theory and Its Applications by Jonathan Rosenberg Pdf

Algebraic K-Theory is crucial in many areas of modern mathematics, especially algebraic topology, number theory, algebraic geometry, and operator theory. This text is designed to help graduate students in other areas learn the basics of K-Theory and get a feel for its many applications. Topics include algebraic topology, homological algebra, algebraic number theory, and an introduction to cyclic homology and its interrelationship with K-Theory.

Algebraic K-Theory

Author : Vasudevan Srinivas
Publisher : Springer Science & Business Media
Page : 328 pages
File Size : 40,9 Mb
Release : 2013-11-21
Category : Science
ISBN : 9781489967350

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Algebraic K-Theory by Vasudevan Srinivas Pdf

Algebraic K-Theory

Author : Richard G. Swan
Publisher : Springer
Page : 269 pages
File Size : 48,5 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540359173

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Algebraic K-Theory by Richard G. Swan Pdf

From the Introduction: "These notes are taken from a course on algebraic K-theory [given] at the University of Chicago in 1967. They also include some material from an earlier course on abelian categories, elaborating certain parts of Gabriel's thesis. The results on K-theory are mostly of a very general nature."

The Big Book of Literacy Tasks, Grades K-8

Author : Nancy Akhavan
Publisher : Corwin Press
Page : 312 pages
File Size : 43,5 Mb
Release : 2018-01-22
Category : Education
ISBN : 9781544321905

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The Big Book of Literacy Tasks, Grades K-8 by Nancy Akhavan Pdf

The Comprehensive Handbook for Scaffolding Students’ Literacy Growth Our readers and writers must "do the doing" if they are to succeed. In The Big Book of Literacy Tasks, Nancy Akhavan offers an instructional plan designed to yield independent effort and engagement. 75 tasks in beautiful full-color two-pagers ensure gradual release by moving more swiftly from the "I do" teacher phase to the "you do," when students benefit from the healthy amount of struggle that is the hallmark of learning. (And spoiler alert: you kick the habit of hovering, over-explaining, and rescuing!) Backed by research and thoughtfully arranged to make day-to-day planning easier, this groundbreaking book provides: Reading and writing tasks organized into 3 sections—everyday skills, weekly practices, and sometime engagements requiring greater complexity Mini-lessons that are essential— whether you use a reading program, a workshop approach, or are just transitioning to Balanced Literacy Colorful teaching charts allowing you to quickly grasp the high points of each lesson A clear task structure for introducing and managing the stages as you move students toward independent practice Mid-task "Watch Fors" and "Work Arounds" showing how to coach without risking helicopter teaching Amazing scaffolding tips for meeting the needs of a range of learners Sample student work that offers valuable insights on how to use the tasks as formative assessments Practical and engaging, The Big Book of Literacy Tasks gives you a clear framework for "working the minds" of your students, helping them forge their own path to becoming better readers and writers.

Introduction to Algebraic K-Theory. (AM-72), Volume 72

Author : John Milnor
Publisher : Princeton University Press
Page : 200 pages
File Size : 46,7 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400881796

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Introduction to Algebraic K-Theory. (AM-72), Volume 72 by John Milnor Pdf

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.

Basic Bundle Theory and K-Cohomology Invariants

Author : Dale Husemöller,Michael Joachim,Branislav Jurco,Martin Schottenloher
Publisher : Springer
Page : 340 pages
File Size : 40,5 Mb
Release : 2007-12-10
Category : Mathematics
ISBN : 9783540749561

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Basic Bundle Theory and K-Cohomology Invariants by Dale Husemöller,Michael Joachim,Branislav Jurco,Martin Schottenloher Pdf

Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory. It aims to provide newcomers to the field with solid foundations in topological K-theory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object. One renewed motivation for studying this subject, comes from quantum field theory, where topological invariants play an important role.

The Local Structure of Algebraic K-Theory

Author : Bjørn Ian Dundas,Thomas G. Goodwillie,Randy McCarthy
Publisher : Springer Science & Business Media
Page : 447 pages
File Size : 55,7 Mb
Release : 2012-09-06
Category : Mathematics
ISBN : 9781447143932

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The Local Structure of Algebraic K-Theory by Bjørn Ian Dundas,Thomas G. Goodwillie,Randy McCarthy Pdf

Algebraic K-theory encodes important invariants for several mathematical disciplines, spanning from geometric topology and functional analysis to number theory and algebraic geometry. As is commonly encountered, this powerful mathematical object is very hard to calculate. Apart from Quillen's calculations of finite fields and Suslin's calculation of algebraically closed fields, few complete calculations were available before the discovery of homological invariants offered by motivic cohomology and topological cyclic homology. This book covers the connection between algebraic K-theory and Bökstedt, Hsiang and Madsen's topological cyclic homology and proves that the difference between the theories are ‘locally constant’. The usefulness of this theorem stems from being more accessible for calculations than K-theory, and hence a single calculation of K-theory can be used with homological calculations to obtain a host of ‘nearby’ calculations in K-theory. For instance, Quillen's calculation of the K-theory of finite fields gives rise to Hesselholt and Madsen's calculations for local fields, and Voevodsky's calculations for the integers give insight into the diffeomorphisms of manifolds. In addition to the proof of the full integral version of the local correspondence between K-theory and topological cyclic homology, the book provides an introduction to the necessary background in algebraic K-theory and highly structured homotopy theory; collecting all necessary tools into one common framework. It relies on simplicial techniques, and contains an appendix summarizing the methods widely used in the field. The book is intended for graduate students and scientists interested in algebraic K-theory, and presupposes a basic knowledge of algebraic topology.

The Lower Algebraic K-Theory of Virtually Cyclic Subgroups of the Braid Groups of the Sphere and of ZB4(S2)

Author : John Guaschi,Daniel Juan-Pineda,Silvia Millán López
Publisher : Springer
Page : 80 pages
File Size : 42,8 Mb
Release : 2018-11-03
Category : Mathematics
ISBN : 9783319994895

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The Lower Algebraic K-Theory of Virtually Cyclic Subgroups of the Braid Groups of the Sphere and of ZB4(S2) by John Guaschi,Daniel Juan-Pineda,Silvia Millán López Pdf

This volume deals with the K-theoretical aspects of the group rings of braid groups of the 2-sphere. The lower algebraic K-theory of the finite subgroups of these groups up to eleven strings is computed using a wide variety of tools. Many of the techniques extend to the general case, and the results reveal new K-theoretical phenomena with respect to the previous study of other families of groups. The second part of the manuscript focusses on the case of the 4-string braid group of the 2-sphere, which is shown to be hyperbolic in the sense of Gromov. This permits the computation of the infinite maximal virtually cyclic subgroups of this group and their conjugacy classes, and applying the fact that this group satisfies the Fibred Isomorphism Conjecture of Farrell and Jones, leads to an explicit calculation of its lower K-theory. Researchers and graduate students working in K-theory and surface braid groups will constitute the primary audience of the manuscript, particularly those interested in the Fibred Isomorphism Conjecture, and the computation of Nil groups and the lower algebraic K-groups of group rings. The manuscript will also provide a useful resource to researchers who wish to learn the techniques needed to calculate lower algebraic K-groups, and the bibliography brings together a large number of references in this respect.

My 'k' Sound Box

Author : Jane Belk Moncure
Publisher : Unknown
Page : 0 pages
File Size : 40,9 Mb
Release : 2018-08
Category : Alphabet
ISBN : 1503831361

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My 'k' Sound Box by Jane Belk Moncure Pdf

Little k has an adventure with items beginning with his letter's sound, such as kittens, kingbirds, a koala, and kids in a kindergarten. Additional features to aid comprehension include rebus icons for word recognition, a word list for review, activities for further learning, a note to parents and educators, and an introduction to the author and illustrator.

K-Theory for Operator Algebras

Author : Bruce Blackadar
Publisher : Springer Science & Business Media
Page : 347 pages
File Size : 40,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461395720

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K-Theory for Operator Algebras by Bruce Blackadar Pdf

K -Theory has revolutionized the study of operator algebras in the last few years. As the primary component of the subject of "noncommutative topol ogy," K -theory has opened vast new vistas within the structure theory of C* algebras, as well as leading to profound and unexpected applications of opera tor algebras to problems in geometry and topology. As a result, many topolo gists and operator algebraists have feverishly begun trying to learn each others' subjects, and it appears certain that these two branches of mathematics have become deeply and permanently intertwined. Despite the fact that the whole subject is only about a decade old, operator K -theory has now reached a state of relative stability. While there will undoubtedly be many more revolutionary developments and applications in the future, it appears the basic theory has more or less reached a "final form." But because of the newness of the theory, there has so far been no comprehensive treatment of the subject. It is the ambitious goal of these notes to fill this gap. We will develop the K -theory of Banach algebras, the theory of extensions of C*-algebras, and the operator K -theory of Kasparov from scratch to its most advanced aspects. We will not treat applications in detail; however, we will outline the most striking of the applications to date in a section at the end, as well as mentioning others at suitable points in the text.

The K Team

Author : David Rosenfelt
Publisher : Minotaur Books
Page : 295 pages
File Size : 55,9 Mb
Release : 2020-03-24
Category : Fiction
ISBN : 9781250257185

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The K Team by David Rosenfelt Pdf

From bestselling mystery author David Rosenfelt comes a new series – a spinoff of the much beloved Andy Carpenter mysteries – about a dynamic new investigative team featuring a determined former cop and his loyal German Shepherd. Corey Douglas and his K-9 partner, Simon Garfunkel, have recently retired from the police force. Not ready to give up the life yet, they come up with a proposal for fellow former cop, Laurie Carpenter, and her investigating partner, Marcus. Laurie and Marcus – who help out Laurie’s lawyer husband Andy on cases – have been chafing to jump back into investigating on their own, so they are in. They call themselves the K Team, in honor of Simon. Their first job as private investigators comes to them from Judge Henry Henderson, who's known as a very tough but fair judge, and they've all come up against him in court at one time or another. Though it's hard to believe, Judge Henderson is being blackmailed and extorted, and he doesn't want to involve the police--he needs the K Team to figure out why.