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This book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars. It begins with a detailed study of bicomplex and hyperbolic numbers and then defines the notion of bicomplex modules. After introducing a number of norms and inner products on such modules (some of which appear in this volume for the first time), the authors develop the theory of linear functionals and linear operators on bicomplex modules. All of this may serve for many different developments, just like the usual functional analysis with complex scalars and in this book it serves as the foundational material for the construction and study of a bicomplex version of the well known Schur analysis.
Great writers inspire readers to head out in search of foreign sunsets, but in this instance, they inspired travel writer Michael Shapiro to head out for the great writers themselves. A Sense of Place is one writer's journey to visit all the heroes who have motivated him - to pack a pen and toothbrush, to find out where they live, why they chose the place, and how it influences their writing.
This book aims to explain social variation in language, otherwise the meaning and motivation of language change in its social aspect. It is the expanded and improved 2nd edition of the author's self-published volume with the same title, based on revised and adapted posts on the author's Languagelore blog. Each vignette calls attention to points of grammar and style in contemporary American English, especially cases where language is changing due to innovative usage. In every case where an analysis contains technical or recondite vocabulary, a Glossary precedes the body of the essay, and readers can also consult the Master Glossary which contains all items glossed in the text. The unique form of the book's presentation is aimed at readers who are alert to the peculiarities of present-day American English as they pertain to pronunciation, grammar, and style, without "dumbing down" or compromising the language in which the explanations are couched. Praise for the First Edition "Michael Shapiro is one of the great thinkers in the realm of linguistics and language use, and his integrated understanding of language and speech in its semantic and pragmatic structure, grammatical and historical grounding, and colloquial to literary stylistic variants is perhaps unmatched today. This book is a treasure to be shared. " Robert S. Hatten, The University of Texas at Austin "Jewel of a book. . . . a gift to us all from Michael Shapiro. Like a Medieval Chapbook it can be a kind of companion whose vignettes on language use can be randomly and profitably consulted at any moment. Some may consider these vignettes opinionated. That would be to ignore how deeply anchored each vignette is in Shapiro's long and rare polyglot experience with language. It could well serve as a night table book, taken up each night to read and reflect upon --to ponder--both in the twilight mind and in the deeper reaches of associative somnolence. There is nothing else like it that I know of. " James W. Fernandez, The University of Chicago
In the first of an in-depth narrative series that will illuminate key moments in journalism’s rough evolution in the age of the Internet, Michael Shapiro tells the little known inside story of the San Jose Mercury News, which brilliantly seized the moment yet didn’t know what to do with it, and then, sadly, released its grasp. Shapiro sheds light on the rise and fall of the Mercury's owner, Knight-Ridder, which rose to dizzying business and journalistic heights, only to crash, a victim of the great disruption. Was it inevitable, or were key mistakes made and opportunities missed?
Shakespeare's The Merchant of Venice occupies a unique place in world culture. As the fictional, albeit iconic, character of Shylock has been interpreted as exotic outsider, social pariah, melodramatic villain and tragic victim, the play, which has been performed and read in dozens of languages, has served as a lens for examining ideas and images of the Jew at various historical moments. In the last two hundred years, many of the play's stage interpreters, spectators, readers and adapters have themselves been Jews, whose responses are often embedded in literary, theatrical and musical works. This volume examines the ever-expanding body of Jewish responses to Shakespeare's most Jewishly relevant play.
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