Paul Zorn's Books

"Then Zorn Said to Largent..."

The Best Seattle Seahawks Stories Ever Told

By: Paul Moyer,Dave Wyman,Chris Cluff

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"Then Zorn Said to Largent..."

The Best Seattle Seahawks Stories Ever Told

By: Paul Moyer,Dave Wyman,Chris Cluff

Written for every sports fan who follows the Seahawks, this account goes behind the scenes to peek into the private world of the players, coaches, and decision makers--all while eavesdropping on their personal conversations. From the Seattle locker room to the sidelines and inside the huddle, the book includes stories about Mike Holmgren and Chuck Knox, among others, allowing readers to relive the highlights and the celebrations.

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199

Publisher

Triumph Books

Published Date

ISBN 10

1617492078

ISBN 13

9781617492075

Understanding Real Analysis

By: Paul Zorn

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Understanding Real Analysis

By: Paul Zorn

Understanding Real Analysis, Second Edition offers substantial coverage of foundational material and expands on the ideas of elementary calculus to develop a better understanding of crucial mathematical ideas. The text meets students at their current level and helps them develop a foundation in real analysis. The author brings definitions, proofs, examples and other mathematical tools together to show how they work to create unified theory. These helps students grasp the linguistic conventions of mathematics early in the text. The text allows the instructor to pace the course for students of different mathematical backgrounds. Key Features: Meets and aligns with various student backgrounds Pays explicit attention to basic formalities and technical language Contains varied problems and exercises Drives the narrative through questions

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384

Publisher

CRC Press

Published Date

ISBN 10

1315315068

ISBN 13

9781315315065

Coyote Warrior

One Man, Three Tribes, and the Trial That Forged a Nation

By: Paul Van Develder

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Coyote Warrior

One Man, Three Tribes, and the Trial That Forged a Nation

By: Paul Van Develder

A Civil Action meets Indian country, as one man takes on the federal government and the largest boondoggle in U.S. history -- and wins.

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336

Publisher

Little, Brown

Published Date

ISBN 10

0316030686

ISBN 13

9780316030687

Rings and Their Modules

By: Paul E. Bland

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Rings and Their Modules

By: Paul E. Bland

This book is an introduction to the theory of rings and modules that goes beyond what one normally obtains in a graduate course in abstract algebra. In addition to the presentation of standard topics in ring and module theory, it also covers category theory, homological algebra and even more specialized topics like injective envelopes and proj

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467

Publisher

Walter de Gruyter

Published Date

ISBN 10

3110250225

ISBN 13

9783110250220

Mechanism of Action

By: David Gottlieb,Paul D. Shaw

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Mechanism of Action

By: David Gottlieb,Paul D. Shaw

The idea for publishing these books on the mechanism of action and on the biosynthesis of antibiotics was born of frustration in our attempts to keep abreast of the literature. Gone were the years when we were able to keep a biblio graphy on antibiotics and feel confident that we could find everything that was being published on this subject. These fields of investigation were moving for ward so rapidly and were encompassing so wide a range of specialized areas in microbiology and chemistry that it was almost impossible to keep abreast of developments. In our naivete and enthusiasm, however, we were unaware that we were toying with an idea that might enmesh us, that we were creating an entity with a life of its own, that we were letting loose a Golom who instead of being our servant would be our master. That we set up ideals for these books is obvious; they would be current guides to developments and information in the areas of mechanism of action and bio synthesis of antibiotics. For almost every subject, we wished to enlist the aid of an investigator who himself had played a part in determining the nature of the phenomena that were being discussed. One concept for the books was that they include only antibiotics for which a definitive, well-documented mechanism of action or biosynthetic pathway was known.

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797

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642460518

ISBN 13

9783642460517

The Commissions

By: Paul Madonna

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The Commissions

By: Paul Madonna

Get ready for a rollicking and irresistible new mystery from award-winning artist and author Paul Madonna Amsterdam, 2019—following the conclusion of Come to Light. Former rock star turned artist Emit Hopper’s life has taken yet another strange turn. His old friend, the legendary San Francisco private detective Ronnie Gilbert, is dead, and his killer has just been acquitted. But when a disheveled acquaintance from Ronnie’s past walks into Emit’s shop, a puzzling mystery resurfaces, twenty years cold. We’re transported back to San Francisco, 1999, to when Emit and Ronnie first met. Emit has returned to taking commissions drawing people’s houses, only to be strong-armed by a shady police lieutenant into acting as her off-the-books spy. On top of that, a strange young woman claiming to be his daughter refuses to leave him alone. From there unfolds an intricate tale of corruption and murder that leads to an explosive scandal, with consequences that, two decades hence, are finally revealed. From the world of the Emit Hopper Mysteries series, The Commissions kicks off the origin story of what promises to be an unforgettable new eccentric detective, Ronnie Gilbert. In a mystery filled with suspense and surprises around every corner, Paul Madonna delivers a rich and captivating portrait of San Francisco in the last days before the turn of the millennium, brought to life by one hundred of his signature pen-and-ink drawings.

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575

Publisher

Turner Publishing Company

Published Date

ISBN 10

1513139290

ISBN 13

9781513139296

Modern Music and After

By: Paul Griffiths

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Modern Music and After

By: Paul Griffiths

Over three decades, Paul Griffiths's survey has remained the definitive study of music since the Second World War; this fully revised and updated edition re-establishes Modern Music and After as the preeminent introduction to the music of our time. The disruptions of the war, and the struggles of the ensuing peace, were reflected in the music of the time: in Pierre Boulez's radical reformation of compositional technique and in John Cage's development of zen music; in Milton Babbitt's settling of the serial system and in Dmitry Shostakovich's unsettling symphonies; in Karlheinz Stockhausen's development of electronic music and in Luigi Nono's pursuit of the universally human, in Iannis Xenakis's view of music as sounding mathematics and in Luciano Berio's consideration of it as language. The initiatives of these composers and their contemporaries opened prospects that haven't yet stopped unfolding. This constant expansion of musical thinking since 1945 has left us with no singular history of music; Griffiths's study accordingly follows several different paths, showing how and why they converge and diverge. This new edition of Modern Music and After discusses not only the music of the fifteen years that have passed since the previous edition, but also the recent explosion of scholarly interest in the latter half of the twentieth century. In particular, the book has been expanded to incorporate the variety of responses to the modernist impasse experienced by composers of the 1980s and 1990s. Griffiths then moves the book into the twenty-first century as he examines such highly influential composers as Helmut Lachenmann and Salvatore Sciarrino. For its breadth, wealth of detail, and characteristic wit and clarity, the third edition of Modern Music and After is required reading for the student and the enquiring listener.

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Page Count

475

Publisher

Oxford University Press

Published Date

ISBN 10

0199792828

ISBN 13

9780199792825

The Contradictions of Jazz

By: Paul Rinzler

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The Contradictions of Jazz

By: Paul Rinzler

In The Contradictions of Jazz, Paul Rinzler takes a new approach to jazz aesthetics and theory by exploring four pairs of opposites present in jazz: individualism and interconnectedness, assertion and openness, freedom and responsibility, and creativity and tradition. By themselves, these eight values speak volumes about the meaning of jazz and its significance. Understanding how these opposites coexist in jazz leads to an exploration of the connections linking jazz with the experiential and existential, which contrast with the connections between composition and science. Rinzler explains the various concepts, including either/or and dialectic thinking, and then examines the pairs of opposites individually, describing their position and presence in jazz. He then demonstrates how the larger meaning of these contradictory opposites depends on ideas from the philosophies of phenomenology and existentialism. Rinzler considers the opposites inherent in the product and process of jazz, as well as mistakes and the challenge of perfection, presenting these values in light of the contradictions inherent in jazz. With a full bibliography and an index, The Contradictions of Jazz is a fascinating read for fans and scholars of jazz history and aesthetics.

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226

Publisher

Scarecrow Press

Published Date

ISBN 10

0810862158

ISBN 13

9780810862159

Sennacherib and the War of 1812

Disputed Victory in the Assyrian Campaign of 701 BCE in Light of Military History

By: Paul S. Evans

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Sennacherib and the War of 1812

Disputed Victory in the Assyrian Campaign of 701 BCE in Light of Military History

By: Paul S. Evans

This volume investigates the question of how both Assyria and Judah could remember the war of 701 BCE as their respective victory. Whilst surveying available evidences for historical reconstructions, Paul S. Evans compares the Sennacherib's Third Campaign with the War of 1812 between Canada and the USA as an example of disputed victory from military history. Evans examines Assyrian and biblical texts to evaluate the conflict and argues that rather than being intentionally deceptive in their accounts of the events, both sides had reasons to perceive the war as a victory. This examination of military narratives also illustrates how the fluctuating support for wartime leaders in 1812 is analogous to positive and negative oracles regarding Jerusalem's leadership during the war years. With differing opinions regarding the success of the Sennacherib's Third Campaign, this book presents an interesting discussion of the events and demonstrates how our understanding of the war between Assyria and Judah can be illuminated by military history.

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261

Publisher

Bloomsbury Publishing

Published Date

ISBN 10

0567708977

ISBN 13

9780567708977

Indulge Your Senses

Scaling Intimacy in a Digital World

By: Michael Dorf,Paul Keegan

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Indulge Your Senses

Scaling Intimacy in a Digital World

By: Michael Dorf,Paul Keegan

“Simply put, Michael Dorf is a true hustler. When the internet upended the music business, he wasn’t romantic to the way things were done and like any great entrepreneur, focused on what’s happening today. It has been fun for me to watch Michael operate in this ever-changing world. There is a lot that can be learned from this man.”—Gary Vaynerchuk, Founder and CEO, VaynerMedia; and author, Crushing It As founder of the iconic Knitting Factory music venue in New York, Michael Dorf became one of the earliest pioneers of digital music in the 1990s and found himself addicted to the seductive promise of the Internet. But losing everything in the dot-com bust led to a renewed appreciation for the sensory pleasures of life and inspired him to gamble big with his latest crazy idea: Launching a wine-making facility in the middle of Manhattan for patrons who could also have dinner in a cozy three-hundred-seat venue while watching concerts by artists such as Elvis Costello, Steve Earle, Suzanne Vega, and Esperanza Spalding. After surviving another economic cataclysm—the Great Recession of 2008—Dorf found that his City Winery concept worked beautifully and he expanded it into a national network of clubs that continues to grow rapidly. Along the way, he realized why his venues are sold out nearly every night, from Boston to Nashville: Trapped in a digital bubble, increasingly separate from the real world, people are eager for the visceral, sensory experiences he offers. In Indulge Your Senses: Scaling Intimacy in a Digital World, Dorf tells riveting tales from his wild ride through three decades of business escapades and dispenses invaluable wisdom for readers—entrepreneurs, executives, students, professionals, lovers of music and wine—who are struggling to balance the virtual and the real in a world awash in technology. “Music, wine, food, and community—not only has Michael Dorf cracked the code on a recipe so many of us crave most in an increasingly disconnected world, he’s also managed to grow a brilliantly successful business while listening to his gut and sticking to his values. It’s a feat that all entrepreneurs would be wise to study closely.” —Danny Meyer, CEO, Union Square Hospitality Group; Founder, Shake Shack; and author, Setting the Table: The Transforming Power of Hospitality in Business “The lessons learned in Michael Dorf’s fascinating career make this as much a business book about how to thrive by indulging a customer’s senses in our digital age as it is a gripping tale from an insider in the New York rock and jazz world during a period of massive technological change.”—Steve Case, co-founder of the investment firm Revolution LLC and former CEO of AOL “Sonic Youth, Beck, John Zorn, Cecil Taylor—Michael Dorf showcased them all at his cutting-edge Knitting Factory. Neil Young, Aaron Neville, Macy Gray, Shawn Colvin—those artists and more have graced his upscale City Winery. It’s hard to imagine anyone in New York who has presented more great live music over the past thirty years. This book is the colorful story of how Dorf pulled it off, both before and after the Internet upended the music industry and changed our lives forever. It’s inspiring reading for anybody who cares about music, culture, and wine, and explains how to thrive by offering people a live experience they will always remember.” —Rita Houston, WFUV Program Director

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167

Publisher

Post Hill Press

Published Date

ISBN 10

164293268X

ISBN 13

9781642932683

The Brooklyn Follies

A Novel

By: Paul Auster

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The Brooklyn Follies

A Novel

By: Paul Auster

From the bestselling author of Oracle Night and The Book of Illusions, an exhilarating, whirlwind tale of one man's accidental redemption Nathan Glass has come to Brooklyn to die. Divorced, estranged from his only daughter, the retired life insurance salesman seeks only solitude and anonymity. Then Nathan finds his long-lost nephew, Tom Wood, working in a local bookstore—a far cry from the brilliant academic career he'd begun when Nathan saw him last. Tom's boss is the charismatic Harry Brightman, whom fate has also brought to the "ancient kingdom of Brooklyn, New York." Through Tom and Harry, Nathan's world gradually broadens to include a new set of acquaintances—not to mention a stray relative or two—and leads him to a reckoning with his past. Among the many twists in the delicious plot are a scam involving a forgery of the first page of The Scarlet Letter, a disturbing revelation that takes place in a sperm bank, and an impossible, utopian dream of a rural refuge. Meanwhile, the wry and acerbic Nathan has undertaken something he calls The Book of Human Folly, in which he proposes "to set down in the simplest, clearest language possible an account of every blunder, every pratfall, every embarrassment, every idiocy, every foible, and every inane act I had committed during my long and checkered career as a man." But life takes over instead, and Nathan's despair is swept away as he finds himself more and more implicated in the joys and sorrows of others. The Brooklyn Follies is Paul Auster's warmest, most exuberant novel, a moving and unforgettable hymn to the glories and mysteries of ordinary human life.

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324

Publisher

Henry Holt and Company

Published Date

ISBN 10

1429900091

ISBN 13

9781429900096

PAUL HALMOS Celebrating 50 Years of Mathematics

Celebrating 50 Years of Mathematics

By: Paul Richard Halmos,John Ewing,F.W. Gehring

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PAUL HALMOS Celebrating 50 Years of Mathematics

Celebrating 50 Years of Mathematics

By: Paul Richard Halmos,John Ewing,F.W. Gehring

Paul Halmos will celebrate his 75th birthday on the 3rd of March 1991. This volume, from colleagues, is an expression of affection for the man and respect for his contributions as scholar, writer, and teacher. It contains articles about Paul, about the times in which he worked and the places he has been, and about mathematics. Paul has furthered his profession in many ways and this collection reflects that diversity. Articles about Paul are not biographical, but rather tell about his ideas, his philosophy, and his style. Articles about the times and places in which Paul has worked describe people, events, and ways in which Paul has influenced students and colleagues over the past 50 years. Articles about mathematics are about all kinds of mathematics, including operator theory and Paul's research in the subject. This volume represents a slice of mathematical life and it shows how many parts of mathematics Paul has touched. It is fitting that this volume has been produced with the support and cooperation of Springer-Verlag. For over 35 years, Paul has contributed to mathematics publishing as founder and editor of many outstanding series.

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336

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387975098

ISBN 13

9780387975092

Introduction to Ring Theory

By: Paul M. Cohn

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Introduction to Ring Theory

By: Paul M. Cohn

A clear and structured introduction to the subject. After a chapter on the definition of rings and modules there are brief accounts of Artinian rings, commutative Noetherian rings and ring constructions, such as the direct product, Tensor product and rings of fractions, followed by a description of free rings. Readers are assumed to have a basic understanding of set theory, group theory and vector spaces. Over two hundred carefully selected exercises are included, most with outline solutions.

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234

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1447104757

ISBN 13

9781447104759

Quantum Measurement

By: Paul Busch,Pekka Lahti,Juha-Pekka Pellonpää,Kari Ylinen

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Quantum Measurement

By: Paul Busch,Pekka Lahti,Juha-Pekka Pellonpää,Kari Ylinen

This is a book about the Hilbert space formulation of quantum mechanics and its measurement theory. It contains a synopsis of what became of the Mathematical Foundations of Quantum Mechanics since von Neumann’s classic treatise with this title. Fundamental non-classical features of quantum mechanics—indeterminacy and incompatibility of observables, unavoidable measurement disturbance, entanglement, nonlocality—are explicated and analysed using the tools of operational quantum theory. The book is divided into four parts: 1. Mathematics provides a systematic exposition of the Hilbert space and operator theoretic tools and relevant measure and integration theory leading to the Naimark and Stinespring dilation theorems; 2. Elements develops the basic concepts of quantum mechanics and measurement theory with a focus on the notion of approximate joint measurability; 3. Realisations offers in-depth studies of the fundamental observables of quantum mechanics and some of their measurement implementations; and 4. Foundations discusses a selection of foundational topics (quantum-classical contrast, Bell nonlocality, measurement limitations, measurement problem, operational axioms) from a measurement theoretic perspective. The book is addressed to physicists, mathematicians and philosophers of physics with an interest in the mathematical and conceptual foundations of quantum physics, specifically from the perspective of measurement theory.

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544

Publisher

Springer

Published Date

ISBN 10

331943389X

ISBN 13

9783319433899

Naive Set Theory

By: Paul R. Halmos

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Naive Set Theory

By: Paul R. Halmos

Classic by prominent mathematician offers a concise introduction to set theory using language and notation of informal mathematics. Topics include the basic concepts of set theory, cardinal numbers, transfinite methods, more. 1960 edition.

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113

Publisher

Courier Dover Publications

Published Date

ISBN 10

0486821153

ISBN 13

9780486821153

The Annotated Ring Cycle

The Valkyrie (Die Walküre)

By: Frederick Paul Walter

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The Annotated Ring Cycle

The Valkyrie (Die Walküre)

By: Frederick Paul Walter

Richard Wagner’s magnum opus meets the celebrated translator of Jules Verne novels in this colorful and original work. Frederick Paul Walter makes The Valkyrie accessible not only to scholars and opera buffs but also to fans of Tolkien, Star Wars, and Hogwarts through a dazzling new translation in lively modern English and annotations that spotlight the libretto, lyrics, and stage directions. The translation conveys Wagner’s humor, rhymes, alliterative effects, subliminal messages, and inventive tale spinning, plus it also gets the most basic ingredient right: the actual story! It highlights the motives, secrets, and plot twists—what’s really going on and what its narrative shows. The Annotated Ring Cycle includes newly created graphic-novel style illustrations that visually represent the storyline alongside full color photos of classic artwork by Arthur Rackham, Howard Pyle, Aubrey Beardsley, the 1876 costume and set designs, and much more.

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Page Count

175

Publisher

Rowman & Littlefield

Published Date

ISBN 10

1538136732

ISBN 13

9781538136737

'Tis Not Our War

Avoiding Military Service in the Civil War North

By: Paul Taylor

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'Tis Not Our War

Avoiding Military Service in the Civil War North

By: Paul Taylor

James McPherson’s classic book For Cause & Comrades explained “why men fought in the Civil War”—and spurred countless other historians to ask and attempt to answer the same question. But few have explored why men did not fight. That’s the question Paul Taylor answers in this groundbreaking Civil War history that examines the reasons why at least 60 percent of service-eligible men in the North chose not to serve and why, to some extent, their communities allowed them to do so. Did these other men not feel the same patriotic impulses as their fellow citizens who rushed to the enlistment office? Did they not believe in the sanctity of the Union? Was freeing men held in chains under chattel slavery not a righteous moral crusade? And why did some soldiers come to regret their enlistment and try to leave the military? ’Tis Not Our War answers these questions by focusing on the thoughts, opinions, and beliefs of average civilians and soldiers. Taylor digs deep into primary sources—newspapers, diaries, letters, archival manuscripts, military reports, and published memoirs—to paint a vivid and richly complex portrait of men who questioned military service in the Civil War and to show that the North was never as unified in support of the war as portrayed in much of America’s collective memory. This book adds to our understanding of the Civil War and the men who fought—and did not fight—in it.

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457

Publisher

Rowman & Littlefield

Published Date

ISBN 10

0811775399

ISBN 13

9780811775397

Glory Was Not Their Companion

The Twenty-Sixth New York Volunteer Infantry in the Civil War

By: Paul Taylor

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Glory Was Not Their Companion

The Twenty-Sixth New York Volunteer Infantry in the Civil War

By: Paul Taylor

Recruited primarily from the gentle farmlands of central New York, the men of the Twenty-Sixth New York Volunteer Infantry were among the first to answer their nation's call during the Civil War. Death soon wrapped its cold arms around the regiment, whose losses were great. More often than not the Twenty-Sixth was placed in difficult or impossible tactical situations, which resulted in their being forced to leave the field in disorder. They did their best. This work covers the regiment's entire two-year term of enlistment from May 1861 to May 1863. It draws upon numerous unpublished letters and diaries from the collections of individuals, private libraries and public institutions, as well as contemporary newspapers and obscure government documents. Appendices cover the order of command within campaigns and post assignments. Also included is a regimental roster listing the 1,182 men who served in the Twenty-Sixth.

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233

Publisher

McFarland

Published Date

ISBN 10

1476611424

ISBN 13

9781476611426

Words & Music

A History of Pop in the Shape of a City

By: Paul Morley

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Words & Music

A History of Pop in the Shape of a City

By: Paul Morley

The definitive guide to the world of contemporary and electronic music by the media's top music pundit 'An exhilarating history of pop - a brilliant and joyous book' Guardian 'A passionate, irresistible encouragement to listen more, and to listen better' Sunday Times Has pop burnt itself out? Inspired by the video for Kylie Minogue's hit single 'Can't Get You Out of My Head', acclaimed rock journalist Paul Morley is driving with Kylie towards a virtual city built of sound and ideas in search of the answer. Their journey bridges the various paradoxes of twentieth-century culture, as they encounter a succession of celebrities and geniuses - including Madonna, Kraftwerk, Wittgenstein and the ghost of Elvis Presley - and explore the iconic and the obscure, the mechanical and the digital, the avant-garde and the very nature of pop itself.

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492

Publisher

Bloomsbury Publishing

Published Date

ISBN 10

1408864347

ISBN 13

9781408864340

Supreme Court Confirmation Hearings and Constitutional Change

By: Paul M. Collins,Lori A. Ringhand

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Supreme Court Confirmation Hearings and Constitutional Change

By: Paul M. Collins,Lori A. Ringhand

This book demonstrates that the hearings to confirm Supreme Court nominees are in fact a democratic forum for the discussion and ratification of constitutional change.

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313

Publisher

Cambridge University Press

Published Date

ISBN 10

1107039703

ISBN 13

9781107039704

Basic Algebra

Groups, Rings and Fields

By: Paul M. Cohn

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Basic Algebra

Groups, Rings and Fields

By: Paul M. Cohn

This is the first volume of a revised edition of P.M. Cohn's classic three-volume text Algebra, widely regarded as one of the most outstanding introductory algebra textbooks. This volume covers the important results of algebra. Readers should have some knowledge of linear algebra, groups and fields, although all the essential facts and definitions are recalled.

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482

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1852335874

ISBN 13

9781852335878

Abelian Groups and Modules

International Conference in Dublin, August 10-14, 1998

By: Paul C. Eklof

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Abelian Groups and Modules

International Conference in Dublin, August 10-14, 1998

By: Paul C. Eklof

This volume contains the refereed proceedings of the International Conference on Abelian Groups and Modules held at the Dublin Institute of Technology in Ireland, from August 10 until August 14, 1998. The meeting brought together more than 50 researchers and graduate students from 14 countries around the world. In a series of eight invited survey talks, experts in the field presented several active areas of research, including:Â· Almost completely decomposable abelian groups, Butler groups and almost free groups nbsp;â the classification problem, and invariants of special classes of torsion-free abelian groups.Â· Totally projective groups, their automorphism groups and their group rings â questions about unique passage between these categories.Â· Radicals commuting with products.Â· The Ziegler spectra of Neumann regular rings and the class (semi-) groups of PrÃ1⁄4fer domains.Â· The Krull-Schmidt property for valuation domains.These main talks were accompanied by many other presentations of current research on abelian groups and modules. Methods from model theory, category theory, infinite combinatorics, representation theory, classical algebra and geometry were applied to the study of abelian groups and modules; conversely, results and methods from abelian group theory were applied to general module theory and non-commutative groups.All this is reflected in the 30 articles in this volume, which introduce the reader to an active and attractive part of algebra that over the years has gained much from its position at the crossroads of mathematics. Lively discussions at the conference influenced the final work on the presented papers, which convey some sense of the intellectual ferment they generated and stimulate the reader to consider and actively investigate the topics and problems contained therein.

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402

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Springer Science & Business Media

Published Date

ISBN 10

3764361727

ISBN 13

9783764361723

Theory of Association Schemes

By: Paul-Hermann Zieschang

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Theory of Association Schemes

By: Paul-Hermann Zieschang

This book is a concept-oriented treatment of the structure theory of association schemes. The generalization of Sylow’s group theoretic theorems to scheme theory arises as a consequence of arithmetical considerations about quotient schemes. The theory of Coxeter schemes (equivalent to the theory of buildings) emerges naturally and yields a purely algebraic proof of Tits’ main theorem on buildings of spherical type.

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314

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Springer Science & Business Media

Published Date

ISBN 10

3540261362

ISBN 13

9783540261360

Skew Fields

Theory of General Division Rings

By: Paul Moritz Cohn

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Skew Fields

Theory of General Division Rings

By: Paul Moritz Cohn

Non-commutative fields (also called skew fields or division rings) have not been studied as thoroughly as their commutative counterparts and most accounts have hitherto been confined to division algebras, that is skew fields finite-dimensional over their centre. Based on the author's LMS lecture note volume Skew Field Constructions, the present work offers a comprehensive account of skew fields. The axiomatic foundation and a precise description of the embedding problem are followed by an account of algebraic and topological construction methods, in particular, the author's general embedding theory is presented with full proofs, leading to the construction of skew fields. The powerful coproduct theorems of G. M. Bergman are proved here as well as the properties of the matrix reduction functor, a useful but little-known construction providing a source of examples and counter-examples. The construction and basic properties of existentially closed skew fields are given, leading to an example of a model class with an infinite forcing companion which is not axiomatizable. The treatment of equations over skew fields has been simplified and extended by the use of matrix methods, and the beginnings of non-commutative algebraic geometry are presented, with a precise account of the problems that need to be overcome for a satisfactory theory. A separate chapter describes valuations and orderings on skew fields, with a construction applicable to free fields. Numerous exercises test the reader's understanding, presenting further aspects and open problems in concise form, and notes and comments at the ends of chapters provide historical background.

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522

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Cambridge University Press

Published Date

ISBN 10

0521432170

ISBN 13

9780521432177

Analysis

From Concepts to Applications

By: Jean-Paul Penot

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Analysis

From Concepts to Applications

By: Jean-Paul Penot

This textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before presenting powerful results that can be applied to concrete problems. In addition to classical results of functional analysis, differential calculus and integration, Analysis discusses topics such as convex analysis, dissipative operators and semigroups which are often absent from classical treatises. Acknowledging that analysis has significantly contributed to the understanding and development of the present world, the book further elaborates on techniques which pervade modern civilization, including wavelets in information theory, the Radon transform in medical imaging and partial differential equations in various mechanical and physical phenomena. Advanced undergraduate and graduate students, engineers as well as practitioners wishing to familiarise themselves with concepts and applications of analysis will find this book useful. With its content split into several topics of interest, the book’s style and layout make it suitable for use in several courses, while its self-contained character makes it appropriate for self-study.

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687

Publisher

Springer

Published Date

ISBN 10

331932411X

ISBN 13

9783319324111

Abstract Algebra

By: Paul B. Garrett

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Abstract Algebra

By: Paul B. Garrett

Designed for an advanced undergraduate- or graduate-level course, Abstract Algebra provides an example-oriented, less heavily symbolic approach to abstract algebra. The text emphasizes specifics such as basic number theory, polynomials, finite fields, as well as linear and multilinear algebra. This classroom-tested, how-to manual takes a more narra

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460

Publisher

CRC Press

Published Date

ISBN 10

1584886900

ISBN 13

9781584886907

Simplicial Homotopy Theory

By: Paul G. Goerss,John F. Jardine

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Simplicial Homotopy Theory

By: Paul G. Goerss,John F. Jardine

Since the beginning of the modern era of algebraic topology, simplicial methods have been used systematically and effectively for both computation and basic theory. With the development of Quillen's concept of a closed model category and, in particular, a simplicial model category, this collection of methods has become the primary way to describe non-abelian homological algebra and to address homotopy-theoretical issues in a variety of fields, including algebraic K-theory. This book supplies a modern exposition of these ideas, emphasizing model category theoretical techniques. Discussed here are the homotopy theory of simplicial sets, and other basic topics such as simplicial groups, Postnikov towers, and bisimplicial sets. The more advanced material includes homotopy limits and colimits, localization with respect to a map and with respect to a homology theory, cosimplicial spaces, and homotopy coherence. Interspersed throughout are many results and ideas well-known to experts, but uncollected in the literature. Intended for second-year graduate students and beyond, this book introduces many of the basic tools of modern homotopy theory. An extensive background in topology is not assumed.

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520

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Birkhäuser

Published Date

ISBN 10

3034887078

ISBN 13

9783034887076

Calculus Without Derivatives

By: Jean-Paul Penot

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Calculus Without Derivatives

By: Jean-Paul Penot

Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis.

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