Robert K.'s Books

Topology and K-Theory

Lectures by Daniel Quillen

By: Robert Penner

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Topology and K-Theory

Lectures by Daniel Quillen

By: Robert Penner

These are notes from a graduate student course on algebraic topology and K-theory given by Daniel Quillen at the Massachusetts Institute of Technology during 1979-1980. He had just received the Fields Medal for his work on these topics among others and was funny and playful with a confident humility from the start. These are not meant to be polished lecture notes, rather, things are presented as did Quillen reflected in the hand-written notes, resisting any temptation to change or add notation, details or elaborations. Indeed, the text is faithful to Quillen's own exposition, even respecting the {\sl board-like presentation} of formulae, diagrams and proofs, omitting numbering theorems in favor of names and so on. This is meant to be Quillen on Quillen as it happened forty years ago, an informal text for a second-semester graduate student on topology, category theory and K-theory, a potential preface to studying Quillen's own landmark papers and an informal glimpse of his great mind. The intellectual pace of the lectures, namely fast and lively, is Quillen himself, and part of the point here is to capture some of this intimacy. To be sure, much has happened since then from this categorical perspective started by Grothendieck, and Misha Kapranov has contributed an Afterword in order to make it more useful to current students.

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Page Count

201

Publisher

Springer Nature

Published Date

ISBN 10

3030439968

ISBN 13

9783030439965

Connective Real $K$-Theory of Finite Groups

By: Robert Ray Bruner,John Patrick Campbell Greenlees

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Connective Real $K$-Theory of Finite Groups

By: Robert Ray Bruner,John Patrick Campbell Greenlees

Focusing on the study of real connective $K$-theory including $ko^*(BG)$ as a ring and $ko_*(BG)$ as a module over it, the authors define equivariant versions of connective $KO$-theory and connective $K$-theory with reality, in the sense of Atiyah, which give well-behaved, Noetherian, uncompleted versions of the theory.

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Page Count

328

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821851896

ISBN 13

9780821851890

The Connective K-Theory of Finite Groups

By: Robert Ray Bruner,John Patrick Campbell Greenlees

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The Connective K-Theory of Finite Groups

By: Robert Ray Bruner,John Patrick Campbell Greenlees

Includes a paper that deals the connective K homology and cohomology of finite groups $G$. This title uses the methods of algebraic geometry to study the ring $ku DEGREES*(BG)$ where $ku$ denotes connective complex K-theory. It describes the variety in terms of the category of abelian $p$-subgroups of $G$ for primes $p$ dividing the group

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Page Count

144

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821833669

ISBN 13

9780821833667

The Life of J.-K. Huysmans

By: Robert Baldick

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The Life of J.-K. Huysmans

By: Robert Baldick

Like Froude's biography of Carlyle, Holroyd's Shaw, and Ellmann's Joyce, Robert Baldick's Life of J.-K. Huysmans has become not just a standard reference work, to be consulted as regularly as the writing of the author whose life it chronicles, but a work of literature in its own right. First published fifty years ago, Baldick's classic biography presents a compelling narrative of Huysmans' life and work in all its various phases - from the Naturalism of the 1870s to the Decadence of the 1880s, and from the occult vogue of the 1890s to the Catholic Revival of the turn of the century - and it is written with such impeccable scholarship that it is still relied on today as regards matters of fact and detail. For this new edition - the first time the biography has been reprinted in English -Baldick's notes have been extensively revised and updated by Brendan King to take account of new developments and publications in the field of Huysmansian studies.

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337

Publisher

SCB Distributors

Published Date

ISBN 10

1910213306

ISBN 13

9781910213308

The Triangle-Free Process and the Ramsey Number R(3,k)

By: Gonzalo Fiz Pontiveros,Simon Griffiths,Robert Morris

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The Triangle-Free Process and the Ramsey Number R(3,k)

By: Gonzalo Fiz Pontiveros,Simon Griffiths,Robert Morris

The areas of Ramsey theory and random graphs have been closely linked ever since Erdős's famous proof in 1947 that the “diagonal” Ramsey numbers R(k) grow exponentially in k. In the early 1990s, the triangle-free process was introduced as a model which might potentially provide good lower bounds for the “off-diagonal” Ramsey numbers R(3,k). In this model, edges of Kn are introduced one-by-one at random and added to the graph if they do not create a triangle; the resulting final (random) graph is denoted Gn,△. In 2009, Bohman succeeded in following this process for a positive fraction of its duration, and thus obtained a second proof of Kim's celebrated result that R(3,k)=Θ(k2/logk). In this paper the authors improve the results of both Bohman and Kim and follow the triangle-free process all the way to its asymptotic end.

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138

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470440717

ISBN 13

9781470440718

On the Abnormal/Coarse Grain Formation in K-Monel 500 Alloy

By: Robert J. Reidel,Paul Reidel,Hamid Garmestani,Omar S. Es-Said

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On the Abnormal/Coarse Grain Formation in K-Monel 500 Alloy

By: Robert J. Reidel,Paul Reidel,Hamid Garmestani,Omar S. Es-Said

This book helps unlock the root cause of abnormal grain growth in a commercial nickel alloy. The chapters explore the effects of different solution treating and aging techniques, showing how they impact the hardness properties of hot-rolled and cold-drawn Monel K-500. The book covers how high-frequency induction heat treating can lead to severe duplex microstructure, and uncovers the surprising differences between solution treating in vacuum and convection air furnaces. This book is helpful to anyone seeking to optimize the performance of metal alloys.

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Springer Nature

Published Date

ISBN 10

3031310799

ISBN 13

9783031310799

Economic Growth, second edition

By: Robert J. Barro,Xavier I. Sala-I-Martin

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Economic Growth, second edition

By: Robert J. Barro,Xavier I. Sala-I-Martin

The long-awaited second edition of an important textbook on economic growth—a major revision incorporating the most recent work on the subject. This graduate level text on economic growth surveys neoclassical and more recent growth theories, stressing their empirical implications and the relation of theory to data and evidence. The authors have undertaken a major revision for the long-awaited second edition of this widely used text, the first modern textbook devoted to growth theory. The book has been expanded in many areas and incorporates the latest research. After an introductory discussion of economic growth, the book examines neoclassical growth theories, from Solow-Swan in the 1950s and Cass-Koopmans in the 1960s to more recent refinements; this is followed by a discussion of extensions to the model, with expanded treatment in this edition of heterogenity of households. The book then turns to endogenous growth theory, discussing, among other topics, models of endogenous technological progress (with an expanded discussion in this edition of the role of outside competition in the growth process), technological diffusion, and an endogenous determination of labor supply and population. The authors then explain the essentials of growth accounting and apply this framework to endogenous growth models. The final chapters cover empirical analysis of regions and empirical evidence on economic growth for a broad panel of countries from 1960 to 2000. The updated treatment of cross-country growth regressions for this edition uses the new Summers-Heston data set on world income distribution compiled through 2000.

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Page Count

676

Publisher

MIT Press

Published Date

ISBN 10

0262025531

ISBN 13

9780262025539

Practical Guide to Partnerships and LLCs

By: Robert Ricketts,Larry Tunnell

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Practical Guide to Partnerships and LLCs

By: Robert Ricketts,Larry Tunnell

Practical Guide to Partnerships and LLCs (3rd Edition), by Robert Ricketts and Larry Tunnell, discusses the complex issues involving partnership taxation with utmost clarity. It uses hundreds of illustrative examples, practice observations, helpful charts and insightful explanations to make even the most difficult concepts understandable. The book reflects the authors' penchant for communicating the pertinent facts in very direct language and creating a context for understanding the multifaceted issues and applying them to practice.

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Page Count

582

Publisher

CCH

Published Date

ISBN 10

0808016466

ISBN 13

9780808016465

Advanced Human Nutrition

By: Denis Medeiros,Robert Wildman

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Advanced Human Nutrition

By: Denis Medeiros,Robert Wildman

Advanced Human Nutrition, Second Edition provides an in-depth overview of the human body and details why nutrients are important from a biochemical, physiological, and molecular perspective. Figures help illustrate the content and bring the meaning to life to enhance the reader’s understanding. Complex pathways, for example, are presented in a student-friendly fashion, as are diagrams that illustrate metabolism and the molecular functions of nutrients. Multiple elements within the text, such as “Here’s Where You Have Been” and “Here’s Where You Are Going,” help drive home key points from the chapter and provide real-world examples to bring the content to life. Topics covered include: • cell aging, damage and repair systems • human nutrition, digestion, and absorption with relation to organs, exocrine and endocrine functions, histology, and absorptive activities • microflora and satiety/hunger mechanisms • macronutrients during exercise and the role of liquids and sports drinks • prevalent diseases in western cultures such as coronary heart disease, cancer, and osteoporosis An Instructor’s Manual, PowerPoint Presentations, and a TestBank are available are free downloads.

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Page Count

409

Publisher

Jones & Bartlett Publishers

Published Date

ISBN 10

0763780391

ISBN 13

9780763780395

Interpolation of Operators

By: Colin Bennett,Robert C. Sharpley

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Interpolation of Operators

By: Colin Bennett,Robert C. Sharpley

This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. At the same time, however, it clearly shows how the theory should be generalized in order to accommodate the more recent and powerful applications. Lebesgue, Lorentz, Zygmund, and Orlicz spaces receive detailed treatment, as do the classical interpolation theorems and their applications in harmonic analysis.The text includes a wide range of techniques and applications, and will serve as an amenable introduction and useful reference to the modern theory of interpolation of operators.

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Page Count

489

Publisher

Academic Press

Published Date

ISBN 10

0080874487

ISBN 13

9780080874487

Book's by Robert K.

Topology and K-Theory

Topology and K-Theory

Connective Real $K$-Theory of Finite Groups

Connective Real $K$-Theory of Finite Groups

The Connective K-Theory of Finite Groups

The Connective K-Theory of Finite Groups

The Life of J.-K. Huysmans

The Life of J.-K. Huysmans

The Triangle-Free Process and the Ramsey Number R(3,k)

The Triangle-Free Process and the Ramsey Number R(3,k)

On the Abnormal/Coarse Grain Formation in K-Monel 500 Alloy

On the Abnormal/Coarse Grain Formation in K-Monel 500 Alloy

Economic Growth, second edition

Economic Growth, second edition

Practical Guide to Partnerships and LLCs

Practical Guide to Partnerships and LLCs

Advanced Human Nutrition

Advanced Human Nutrition

Interpolation of Operators

Interpolation of Operators

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