Charles A. Weibel's Books

An Introduction to Homological Algebra

By: Charles A. Weibel

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An Introduction to Homological Algebra

By: Charles A. Weibel

The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebras are also described. This book is suitable for second or third year graduate students. The first half of the book takes as its subject the canonical topics in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of group and Lie algebras illustrate these topics. Intermingled are less canonical topics, such as the derived inverse limit functor lim1, local cohomology, Galois cohomology, and affine Lie algebras. The last part of the book covers less traditional topics that are a vital part of the modern homological toolkit: simplicial methods, Hochschild and cyclic homology, derived categories and total derived functors. By making these tools more accessible, the book helps to break down the technological barrier between experts and casual users of homological algebra.

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Page Count

470

Publisher

Cambridge University Press

Published Date

ISBN 10

113964307X

ISBN 13

9781139643078

The $K$-book

An Introduction to Algebraic $K$-theory

By: Charles A. Weibel

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The $K$-book

An Introduction to Algebraic $K$-theory

By: Charles A. Weibel

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

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Page Count

634

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821891324

ISBN 13

9780821891322

The Norm Residue Theorem in Motivic Cohomology

(AMS-200)

By: Christian Haesemeyer,Charles A. Weibel

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The Norm Residue Theorem in Motivic Cohomology

(AMS-200)

By: Christian Haesemeyer,Charles A. Weibel

This book presents the complete proof of the Bloch-Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of étale cohomology and its relation to motivic cohomology and Chow groups. Although the proof relies on the work of several people, it is credited primarily to Vladimir Voevodsky. The authors draw on a multitude of published and unpublished sources to explain the large-scale structure of Voevodsky’s proof and introduce the key figures behind its development. They proceed to describe the highly innovative geometric constructions of Markus Rost, including the construction of norm varieties, which play a crucial role in the proof. The book then addresses symmetric powers of motives and motivic cohomology operations. Comprehensive and self-contained, The Norm Residue Theorem in Motivic Cohomology unites various components of the proof that until now were scattered across many sources of varying accessibility, often with differing hypotheses, definitions, and language.

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Page Count

316

Publisher

Princeton University Press

Published Date

ISBN 10

0691191042

ISBN 13

9780691191041

Lecture Notes on Motivic Cohomology

By: Carlo Mazza,Vladimir Voevodsky,Charles A. Weibel

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Lecture Notes on Motivic Cohomology

By: Carlo Mazza,Vladimir Voevodsky,Charles A. Weibel

Provides an account of the triangulated theory of motives. The book's purpose is to introduce Motivic Cohomology, to develop its main properties, and finally to relate it to other known invariants of algebraic varieties and rings such as Milnor K-theory, étale cohomology, and Chow groups.

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Page Count

234

Publisher

American Mathematical Soc.

Published Date

ISBN 10

082185321X

ISBN 13

9780821853214

Fishman's Pulmonary Diseases and Disorders, 2-Volume Set, Sixth Edition

By: Michael A. Grippi,Danielle E. Antin-Ozerkis,Charles S. Dela Cruz,Robert Kotloff,Camille N. Kotton,Allan I. Pack

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Fishman's Pulmonary Diseases and Disorders, 2-Volume Set, Sixth Edition

By: Michael A. Grippi,Danielle E. Antin-Ozerkis,Charles S. Dela Cruz,Robert Kotloff,Camille N. Kotton,Allan I. Pack

The definitive guide to the clinical and scientific aspects of pulmonary medicine―fully updated with the latest advances in the field A Doody's Core Title for 2023! Fishman’s Pulmonary Diseases and Disorders delivers unparalleled coverage of pulmonary medicine. With nearly 2500 illustrations, 60 videos, and 22,000 references, this peerless, two-volume resource provides a comprehensive overview of the scientific basis of lung function in health and disease. You’ll find detailed coverage of the broad array of disorders affecting the respiratory system, including obstructive and restrictive diseases, pulmonary vascular disorders, sleep-disordered breathing, lung neoplasms, respiratory infections, and respiratory failure. In addition, you’ll learn about all the latest advances, including molecular development of the lung, stem cells and respiratory disease, the genetics of pulmonary disease, the growth of personalized medicine, technical advances in lung transplantation, and much more. Notable new content in the 6th edition includes discussion of the respiratory effects of vaping, detailed consideration of the idiopathic interstitial pneumonitides, state-of the-art discussion of lung nodules, a summary of the use of immunotherapy in the treatment of lung cancer, COVID-19-related lung disease and its management, and a comprehensive discussion of noninvasive ventilation, including its use in ambulatory and ICU settings. In addition, new chapters on cystic lung disease, lung cancer screening, the lung microbiome, developmental lung disorders, nocardiosis and actinomycosis, and application of ECMO are included.

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Page Count

2773

Publisher

McGraw Hill Professional

Published Date

ISBN 10

1260474062

ISBN 13

9781260474060

The $K$-book

An Introduction to Algebraic $K$-theory

By: Charles A. Weibel

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The $K$-book

An Introduction to Algebraic $K$-theory

By: Charles A. Weibel

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Page Count

634

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821891324

ISBN 13

9780821891322

Book's by Charles A. Weibel

An Introduction to Homological Algebra

An Introduction to Homological Algebra

The $K$-book

The $K$-book

The Norm Residue Theorem in Motivic Cohomology

The Norm Residue Theorem in Motivic Cohomology

Lecture Notes on Motivic Cohomology

Lecture Notes on Motivic Cohomology

Fishman's Pulmonary Diseases and Disorders, 2-Volume Set, Sixth Edition

Fishman's Pulmonary Diseases and Disorders, 2-Volume Set, Sixth Edition

The $K$-book

The $K$-book

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