George W. Mackey's Books

Group Representations, Ergodic Theory, and Mathematical Physics

A Tribute to George W. Mackey : AMS Special Session Honoring the Memory of George W. Mackey, January 7-8, 2007, New Orleans, Louisiana

By: Robert S. Doran,Calvin C. Moore,Robert J. Zimmer

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Group Representations, Ergodic Theory, and Mathematical Physics

A Tribute to George W. Mackey : AMS Special Session Honoring the Memory of George W. Mackey, January 7-8, 2007, New Orleans, Louisiana

By: Robert S. Doran,Calvin C. Moore,Robert J. Zimmer

George Mackey was an extraordinary mathematician of great power and vision. His profound contributions to representation theory, harmonic analysis, ergodic theory, and mathematical physics left a rich legacy for researchers that continues today. This book is based on lectures presented at an AMS special session held in January 2007 in New Orleans dedicated to his memory. The papers, written especially for this volume by internationally-known mathematicians and mathematical physicists, range from expository and historical surveys to original high-level research articles. The influence of Mackey's fundamental ideas is apparent throughout. The introductory article contains recollections from former students, friends, colleagues, and family as well as a biography describing his distinguished career as a mathematician at Harvard, where he held the Landon D. Clay Professorship of Mathematics.

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Page Count

458

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821842250

ISBN 13

9780821842256

The Scope and History of Commutative and Noncommutative Harmonic Analysis

By: George W. Mackey

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The Scope and History of Commutative and Noncommutative Harmonic Analysis

By: George W. Mackey

When I was invited to speak at the conference on the history of analysis given at Rice University [in 1977], I decided that it might be interesting to review the history of mathematics and physics in the last three hundred years or so with heavy emphasis on those parts in which harmonic analysis had played a decisive or at least a major role. I was pleased and somewhat astonished to find how much of both subjects could be included under this rubric ... The picture that gradually emerged as the various details fell into place was one that I found very beautiful, and the process of seeing it do so left me in an almost constant state of euphoria. I would like to believe that others can be led to see this picture by reading my paper, and to facilitate this I have included a large number of short expositions of topics which are not widely understood by non-specialists.'' --from the Preface This volume, containing the paper mentioned above as well as five other reprinted papers by Mackey, presents a sweeping view of the importance, utility, and beauty of harmonic analysis and its connections to other areas of mathematics and science. A seventh paper, written exclusively for this volume, attempts to unify certain themes that emerged after major discoveries in 1967 and 1968 in the areas of Lie algebras, strong interaction physics, statistical mechanics, and nonlinear partial differential equations--discoveries that may at first glance appear to be independent, but which are in fact deeply interrelated. Information for our distributors: Copublished with the London Mathematical Society beginning with volume 4. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners.

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Page Count

386

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821890441

ISBN 13

9780821890448

Mathematical Foundations of Quantum Mechanics

By: George W. Mackey

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Mathematical Foundations of Quantum Mechanics

By: George W. Mackey

This graduate-level text introduces fundamentals of classical mechanics; surveys basics of quantum mechanics; and concludes with a look at group theory and quantum mechanics of the atom. 1963 edition.

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Page Count

162

Publisher

Courier Corporation

Published Date

ISBN 10

0486154475

ISBN 13

9780486154473

Book's by George W. Mackey

Group Representations, Ergodic Theory, and Mathematical Physics

Group Representations, Ergodic Theory, and Mathematical Physics

The Scope and History of Commutative and Noncommutative Harmonic Analysis

The Scope and History of Commutative and Noncommutative Harmonic Analysis

Mathematical Foundations of Quantum Mechanics

Mathematical Foundations of Quantum Mechanics

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