Robert G. Underwood's Books

Fundamentals Of Modern Algebra: A Global Perspective

By: Robert G Underwood

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Fundamentals Of Modern Algebra: A Global Perspective

By: Robert G Underwood

The purpose of this book is to provide a concise yet detailed account of fundamental concepts in modern algebra. The target audience for this book is first-year graduate students in mathematics, though the first two chapters are probably accessible to well-prepared undergraduates. The book covers a broad range of topics in modern algebra and includes chapters on groups, rings, modules, algebraic extension fields, and finite fields. Each chapter begins with an overview which provides a road map for the reader showing what material will be covered. At the end of each chapter we collect exercises which review and reinforce the material in the corresponding sections. These exercises range from straightforward applications of the material to problems designed to challenge the reader. We also include a list of 'Questions for Further Study' which pose problems suitable for master's degree research projects.

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Page Count

231

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9814730319

ISBN 13

9789814730310

An Introduction to Hopf Algebras

By: Robert G. Underwood

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An Introduction to Hopf Algebras

By: Robert G. Underwood

Only book on Hopf algebras aimed at advanced undergraduates

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Page Count

283

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387727655

ISBN 13

9780387727653

Hopf Algebras and Galois Module Theory

By: Lindsay N. Childs,Cornelius Greither,Kevin P. Keating,Alan Koch,Timothy Kohl,Paul J. Truman,Robert G. Underwood

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Hopf Algebras and Galois Module Theory

By: Lindsay N. Childs,Cornelius Greither,Kevin P. Keating,Alan Koch,Timothy Kohl,Paul J. Truman,Robert G. Underwood

Hopf algebras have been shown to play a natural role in studying questions of integral module structure in extensions of local or global fields. This book surveys the state of the art in Hopf-Galois theory and Hopf-Galois module theory and can be viewed as a sequel to the first author's book, Taming Wild Extensions: Hopf Algebras and Local Galois Module Theory, which was published in 2000. The book is divided into two parts. Part I is more algebraic and focuses on Hopf-Galois structures on Galois field extensions, as well as the connection between this topic and the theory of skew braces. Part II is more number theoretical and studies the application of Hopf algebras to questions of integral module structure in extensions of local or global fields. Graduate students and researchers with a general background in graduate-level algebra, algebraic number theory, and some familiarity with Hopf algebras will appreciate the overview of the current state of this exciting area and the suggestions for numerous avenues for further research and investigation.

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Page Count

311

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470465167

ISBN 13

9781470465162

Cryptography for Secure Encryption

By: Robert G. Underwood

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Cryptography for Secure Encryption

By: Robert G. Underwood

This text is intended for a one-semester course in cryptography at the advanced undergraduate/Master's degree level. It is suitable for students from various STEM backgrounds, including engineering, mathematics, and computer science, and may also be attractive for researchers and professionals who want to learn the basics of cryptography. Advanced knowledge of computer science or mathematics (other than elementary programming skills) is not assumed. The book includes more material than can be covered in a single semester. The Preface provides a suggested outline for a single semester course, though instructors are encouraged to select their own topics to reflect their specific requirements and interests. Each chapter contains a set of carefully written exercises which prompts review of the material in the chapter and expands on the concepts. Throughout the book, problems are stated mathematically, then algorithms are devised to solve the problems. Students are tasked to write computer programs (in C++ or GAP) to implement the algorithms. The use of programming skills to solve practical problems adds extra value to the use of this text. This book combines mathematical theory with practical applications to computer information systems. The fundamental concepts of classical and modern cryptography are discussed in relation to probability theory, complexity theory, modern algebra, and number theory. An overarching theme is cyber security: security of the cryptosystems and the key generation and distribution protocols, and methods of cryptanalysis (i.e., code breaking). It contains chapters on probability theory, information theory and entropy, complexity theory, and the algebraic and number theoretic foundations of cryptography. The book then reviews symmetric key cryptosystems, and discusses one-way trap door functions and public key cryptosystems including RSA and ElGamal. It contains a chapter on digital signature schemes, including material on message authentication and forgeries, and chapters on key generation and distribution. It contains a chapter on elliptic curve cryptography, including new material on the relationship between singular curves, algebraic groups and Hopf algebras.

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Page Count

324

Publisher

Springer Nature

Published Date

ISBN 10

3030979024

ISBN 13

9783030979027

Fundamentals of Hopf Algebras

By: Robert G. Underwood

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Fundamentals of Hopf Algebras

By: Robert G. Underwood

This text aims to provide graduate students with a self-contained introduction to topics that are at the forefront of modern algebra, namely, coalgebras, bialgebras and Hopf algebras. The last chapter (Chapter 4) discusses several applications of Hopf algebras, some of which are further developed in the author’s 2011 publication, An Introduction to Hopf Algebras. The book may be used as the main text or as a supplementary text for a graduate algebra course. Prerequisites for this text include standard material on groups, rings, modules, algebraic extension fields, finite fields and linearly recursive sequences. The book consists of four chapters. Chapter 1 introduces algebras and coalgebras over a field K; Chapter 2 treats bialgebras; Chapter 3 discusses Hopf algebras and Chapter 4 consists of three applications of Hopf algebras. Each chapter begins with a short overview and ends with a collection of exercises which are designed to review and reinforce the material. Exercises range from straightforward applications of the theory to problems that are devised to challenge the reader. Questions for further study are provided after selected exercises. Most proofs are given in detail, though a few proofs are omitted since they are beyond the scope of this book.

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Page Count

164

Publisher

Springer

Published Date

ISBN 10

3319189913

ISBN 13

9783319189918

Fishman's Pulmonary Diseases and Disorders, 2-Volume Set, 5th edition

By: Michael A. Grippi,Jack A. Elias,Jay A. Fishman,Allan I. Pack,Robert M. Senior,Robert Kotloff

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Fishman's Pulmonary Diseases and Disorders, 2-Volume Set, 5th edition

By: Michael A. Grippi,Jack A. Elias,Jay A. Fishman,Allan I. Pack,Robert M. Senior,Robert Kotloff

Turn to the field's definitive text for a thoroughunderstanding of the clinical and scientific aspects of pulmonary medicine Since 1980, Fishman's Pulmonary Diseases and Disorders has delivered unparalleled coverage of pulmonary medicine and the underlying basic and applied science upon which clinical practice is based. The Fifth Edition, with 270 contributing authors, includes over 2,000 illustrations, 60 videos, and 18,000 references. The book opens with a comprehensive overview of the scientific basis of lung function in health and disease. It then provides detailed coverage of the broad array of diseases and disorders affecting the respiratory system, including obstructive and restrictive diseases, pulmonary vascular disorders, sleep-disordered breathing, lung neoplasms,respiratory infections, and respiratory failure, among others. The Fifth Edition has been completely updated to reflect the many advancements that have been made in pulmonary medicine over the past few years, including: Molecular development of the lung Stem cells and respiratory disease Genetics of pulmonary disease and the growth of personalized medicine Technical advances in lung transplantation Growth in immunology and immunosuppressive management Diagnosis and treatment of pulmonary hypertension Circadian rhythms and sleep biology Rapid evolution in lung imaging techniques, including functional imaging Contemporary interventional bronchoscopic techniques You will also find state-of-the-art coverage of thelatest topics in critical care medicine, including: Early diagnosis and management of sepsis Multiple organ dysfunction syndrome (MODS) Acute respiratory distress syndrome (ARDS) Management of agitation and delirium in the ICU The newly defined entity of "chronic critical illness

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Page Count

2451

Publisher

McGraw Hill Professional

Published Date

ISBN 10

1259589129

ISBN 13

9781259589126

Worlds of Childhood

By: Robert H. Wozniak

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Worlds of Childhood

By: Robert H. Wozniak

[The book] has been specifically designed to bring the work of developmental psychologists together with that of historians of childhood, psychological anthropologists, sociologists, psycholinguists, and experts in other fields, to examine the diversity of children's development in the complex, changing social contexts in which it occurs. In the [book's] chapters ... we will be studying children as they change within these developing contexts. Through this study we will be led to a deeper understanding of the many forces that bring about change--change in individuals, in families, in societies, and in humankind"--Introd.

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Page Count

516

Publisher

Addison-Wesley Educational Publishers

Published Date

ISBN 10

0065013336

ISBN 13

9780065013337

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

Book's by Robert G. Underwood

Fundamentals Of Modern Algebra: A Global Perspective

Fundamentals Of Modern Algebra: A Global Perspective

An Introduction to Hopf Algebras

An Introduction to Hopf Algebras

Hopf Algebras and Galois Module Theory

Hopf Algebras and Galois Module Theory

Cryptography for Secure Encryption

Cryptography for Secure Encryption

Fundamentals of Hopf Algebras

Fundamentals of Hopf Algebras

Fishman's Pulmonary Diseases and Disorders, 2-Volume Set, 5th edition

Fishman's Pulmonary Diseases and Disorders, 2-Volume Set, 5th edition

Worlds of Childhood

Worlds of Childhood

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

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

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