Paul Deuring's Books

A Conversational Introduction to Algebraic Number Theory

By: Paul Pollack

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A Conversational Introduction to Algebraic Number Theory

By: Paul Pollack

Gauss famously referred to mathematics as the “queen of the sciences” and to number theory as the “queen of mathematics”. This book is an introduction to algebraic number theory, meaning the study of arithmetic in finite extensions of the rational number field Q . Originating in the work of Gauss, the foundations of modern algebraic number theory are due to Dirichlet, Dedekind, Kronecker, Kummer, and others. This book lays out basic results, including the three “fundamental theorems”: unique factorization of ideals, finiteness of the class number, and Dirichlet's unit theorem. While these theorems are by now quite classical, both the text and the exercises allude frequently to more recent developments. In addition to traversing the main highways, the book reveals some remarkable vistas by exploring scenic side roads. Several topics appear that are not present in the usual introductory texts. One example is the inclusion of an extensive discussion of the theory of elasticity, which provides a precise way of measuring the failure of unique factorization. The book is based on the author's notes from a course delivered at the University of Georgia; pains have been taken to preserve the conversational style of the original lectures.

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Page Count

329

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470436531

ISBN 13

9781470436537

Buildings and Classical Groups

By: Paul B. Garrett

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Buildings and Classical Groups

By: Paul B. Garrett

Buildings are highly structured, geometric objects, primarily used in the finer study of the groups that act upon them. In Buildings and Classical Groups, the author develops the basic theory of buildings and BN-pairs, with a focus on the results needed to apply it to the representation theory of p-adic groups. In particular, he addresses spherical and affine buildings, and the "spherical building at infinity" attached to an affine building. He also covers in detail many otherwise apocryphal results. Classical matrix groups play a prominent role in this study, not only as vehicles to illustrate general results but as primary objects of interest. The author introduces and completely develops terminology and results relevant to classical groups. He also emphasizes the importance of the reflection, or Coxeter groups and develops from scratch everything about reflection groups needed for this study of buildings. In addressing the more elementary spherical constructions, the background pertaining to classical groups includes basic results about quadratic forms, alternating forms, and hermitian forms on vector spaces, plus a description of parabolic subgroups as stabilizers of flags of subspaces. The text then moves on to a detailed study of the subtler, less commonly treated affine case, where the background concerns p-adic numbers, more general discrete valuation rings, and lattices in vector spaces over ultrametric fields. Buildings and Classical Groups provides essential background material for specialists in several fields, particularly mathematicians interested in automorphic forms, representation theory, p-adic groups, number theory, algebraic groups, and Lie theory. No other available source provides such a complete and detailed treatment.

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Page Count

396

Publisher

CRC Press

Published Date

ISBN 10

041206331X

ISBN 13

9780412063312

A Century of Advancing Mathematics

By: Paul Zorn

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A Century of Advancing Mathematics

By: Paul Zorn

The MAA was founded in 1915 to serve as a home for The American Mathematical Monthly. The mission of the Association-to advance mathematics, especially at the collegiate level-has, however, always been larger than merely publishing world-class mathematical exposition. MAA members have explored more than just mathematics; we have, as this volume tries to make evident, investigated mathematical connections to pedagogy, history, the arts, technology, literature, every field of intellectual endeavor. Essays, all commissioned for this volume, include exposition by Bob Devaney, Robin Wilson, and Frank Morgan; history from Karen Parshall, Della Dumbaugh, and Bill Dunham; pedagogical discussion from Paul Zorn, Joe Gallian, and Michael Starbird, and cultural commentary from Bonnie Gold, Jon Borwein, and Steve Abbott. This volume contains 35 essays by all-star writers and expositors writing to celebrate an extraordinary century for mathematics-more mathematics has been created and published since 1915 than in all of previous recorded history. We've solved age-old mysteries, created entire new fields of study, and changed our conception of what mathematics is. Many of those stories are told in this volume as the contributors paint a portrait of the broad cultural sweep of mathematics during the MAA's first century. Mathematics is the most thrilling, the most human, area of intellectual inquiry; you will find in this volume compelling proof of that claim.

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Page Count

436

Publisher

The Mathematical Association of America

Published Date

ISBN 10

0883855887

ISBN 13

9780883855881

Classification Methods for Remotely Sensed Data

By: Paul Mather,Brandt Tso

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Classification Methods for Remotely Sensed Data

By: Paul Mather,Brandt Tso

Remote sensing is an integral part of geography, GIS and cartography, used by academics in the field and professionals in all sorts of occupations. The 1990s saw the development of a range of new methods of classifying remote sensing images and data, both optical imaging and microwave imaging. This comprehensive survey of the various techniques pul

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Page Count

420

Publisher

CRC Press

Published Date

ISBN 10

0203303563

ISBN 13

9780203303566

The Stokes System in an Infinite Cone

By: Paul Deuring

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The Stokes System in an Infinite Cone

By: Paul Deuring

Double-layer potentials may be used in order to construct strong solutions of the Stokes system on Lipschitz bounded domains, under Dirichlet boundary conditions. It is kwown that such an approach works in an L?-framework. This book deals with the question whether it is possible to derive a corresponding Lp-theory for p = 2. To this end, a special Lipschitz domain is chosen, namely a right circular infinite cone. Then the space of all p-integrable functions on the surface of this cone is considered. Two kinds of double-layer potentials are introduced on this space, one related to the Stokes system, the other one to the Stokes system with resolvent term. It is studied how the Fredholm properties of these potentials depend on p, on the vertex angle of the cone, and - in the second case - on the resolvent parameter. The proof of the corresponding results is worked out in detail so that the book should be accessible not only for scientists working in the field, but also for graduate students.

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Page Count

268

Publisher

Wiley-VCH

Published Date

ISBN 10

3527400443

ISBN 13

9783527400447

Good Day!

The Paul Harvey Story

By: Paul Batura

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Good Day!

The Paul Harvey Story

By: Paul Batura

Good Day! , the critically-acclaimed biography about the legendary Paul Harvey, is now in paperback! In this heartwarming book, author Paul J. Batura tells the all-American story of one of the best-known radio voices in history. From his humble beginnings to his unparalleled career of more than 50 years with ABC radio, Paul Harvey narrated America's story day by day, through wars and peace, through the threat of communism and the crumbling of old colonial powers, through consumer booms and eventual busts.

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Page Count

304

Publisher

Simon and Schuster

Published Date

ISBN 10

1596982063

ISBN 13

9781596982062

Paul Robeson For Beginners

By: Von Blum, Paul

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Paul Robeson For Beginners

By: Von Blum, Paul

Paul Robeson, despite being one of the greatest Renaissance figures in American history, still remains in relative anonymity. An exceptional scholar, lawyer, athlete, stage and screen actor, linguist, singer, civil rights and political activist, he performed brilliantly in every professional enterprise he undertook. Any serious treatment of civil rights history and radical politics as well as American sports, musical, theatrical, and film history must consider the enormous contributions of Paul Robeson. And yet, Paul Robeson remains virtually unknown by millions of educated Americans. People typically know him for only one, if any, of the major successes of his life: the concert singer best known for “Old Man River,” the star of Shakespeare’s Othello on Broadway in the early 1940s, the political activist blacklisted for his radical views and activism during the era of McCarthyism in the 1950s. Paul Robeson For Beginners demystifies and bestows light and long overdue credence to the life of this extraordinary American.

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Page Count

141

Publisher

For Beginners, LLC

Published Date

ISBN 10

1934389811

ISBN 13

9781934389812

The Undiscovered Paul Robeson

An Artist's Journey, 1898-1939

By: Paul Robeson

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The Undiscovered Paul Robeson

An Artist's Journey, 1898-1939

By: Paul Robeson

The long-awaited, untold, inside story of the rise of the legendary actor, singer, scholar, and activist. The first volume of this major biography breaks new ground. The greatest scholar-athlete-performing artist in U.S. history, Paul Robeson was one of the most compelling figures of the twentieth century. Now his son, Paul Robeson Jr., traces the dramatic arc of his rise to fame, painting a definitive picture of Paul Robeson's formative years. His father was an escaped slave; his mother, a descendent of freedmen; and his wife, the brilliant and ambitious Eslanda Cardozo Goode. With a law degree from Columbia University; a professional football career; title roles in Eugene O'Neill's plays and in Shakespeare's Othello; and a concert career in America and Europe, Robeson dominated his era. This unprecedented biography reveals the depth of Robeson's cultural scholarship, explores the contradictions he bridged in his personal and political life, and describes his emergence as a symbol of the anticolonial and antifascist struggles. Filled with previously unpublished photographs and source materials from the private diaries and letters of Paul and Eslanda Robeson, this is the epic story of a forerunner who now stands as one of America's greatest heroes.

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Page Count

402

Publisher

Wiley

Published Date

ISBN 10

1684422302

ISBN 13

9781684422302

Book's by Paul Deuring

A Conversational Introduction to Algebraic Number Theory

A Conversational Introduction to Algebraic Number Theory

Buildings and Classical Groups

Buildings and Classical Groups

A Century of Advancing Mathematics

A Century of Advancing Mathematics

Classification Methods for Remotely Sensed Data

Classification Methods for Remotely Sensed Data

The Stokes System in an Infinite Cone

The Stokes System in an Infinite Cone

Good Day!

Good Day!

Paul Robeson For Beginners

Paul Robeson For Beginners

The Undiscovered Paul Robeson

The Undiscovered Paul Robeson

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