G. Underwood's Books

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

0387727663

ISBN 13

9780387727660

The King's Mother

Lady Margaret Beaufort, Countess of Richmond and Derby

By: Michael K. Jones,Malcolm G. Underwood

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The King's Mother

Lady Margaret Beaufort, Countess of Richmond and Derby

By: Michael K. Jones,Malcolm G. Underwood

This study of Margaret Beaufort, mother of Henry VII and the founder of two Cambridge colleges is the first biography to explore the full range of archival sources and one of the best-documented studies of any late-medieval woman.

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Page Count

368

Publisher

Cambridge University Press

Published Date

ISBN 10

0521447941

ISBN 13

9780521447942

Altruism and Altruistic Love

Science, Philosophy, and Religion in Dialogue

By: Stephen G. Post,Lynn G. Underwood,Jeffrey P. Schloss,William B. Hurlbut

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Altruism and Altruistic Love

Science, Philosophy, and Religion in Dialogue

By: Stephen G. Post,Lynn G. Underwood,Jeffrey P. Schloss,William B. Hurlbut

The concept of altruism, or disinterested concern for another's welfare, has been discussed by everyone from theologians to psychologists to biologists. In this cutting edge book, evolutionary, neurological, developmental, psychological, social, cultural, and religious aspects of altruistic behavior are examined by renowned researchers. The result is a collaborative and provocative look at one of humanity's essential and defining characteristics.

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Page Count

532

Publisher

Oxford University Press

Published Date

ISBN 10

019534944X

ISBN 13

9780195349443

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

Attention and Memory

By: G. Underwood

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Attention and Memory

By: G. Underwood

Written specifically for students of experimental psychology, this book focuses on attention and memory, and attempts to inegrate these two closely related phenomena. In addition to the concepts of short term and long term memory there has been added the system of immediate or sensory memory. In the description of the representation of knowledge by human memory the author has necessarily drawn conclusions about optimal presentation and retrieval procedures, which should be transferable to non-laboratory situations where information processing is presently inadequate. The present approach attempts to keep in perspective the functions of attention and memory that the proponents of model building techniques have tended to overlook in their investigations. A new and fresh contribution to a growing area of research and teaching interest

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Page Count

289

Publisher

Elsevier

Published Date

ISBN 10

1483293076

ISBN 13

9781483293073

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

Freedom of Information and the Developing World

The Citizen, the State and Models of Openness

By: Colin Darch,Peter G Underwood

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Freedom of Information and the Developing World

The Citizen, the State and Models of Openness

By: Colin Darch,Peter G Underwood

Rather than simply summarising the state of play in African countries and elsewhere, Freedom of Information and the Developing World identifies and makes explicit the assumptions about the citizen's relationship to the state that lie beneath Freedom of Information (FoI) discourse. The book goes on to test them against the reality of the pervasive politics of patronage that characterise much of African practice. - Develops a discourse about the concept of FoI - Discussion of the human rights claim appropriates the concepts of Hohfeldian analysis for more radical purposes in support of the idea that the state has a duty to implement FoI practices

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Page Count

337

Publisher

Elsevier

Published Date

ISBN 10

1780630204

ISBN 13

9781780630205

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

Book's by G. Underwood

An Introduction to Hopf Algebras

An Introduction to Hopf Algebras

The King's Mother

The King's Mother

Altruism and Altruistic Love

Altruism and Altruistic Love

Cryptography for Secure Encryption

Cryptography for Secure Encryption

Attention and Memory

Attention and Memory

Fundamentals of Hopf Algebras

Fundamentals of Hopf Algebras

Freedom of Information and the Developing World

Freedom of Information and the Developing World

Fundamentals Of Modern Algebra: A Global Perspective

Fundamentals Of Modern Algebra: A Global Perspective

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