With many new concrete examples and historical notes, Topological Vector Spaces, Second Edition provides one of the most thorough and up-to-date treatments of the Hahn-Banach theorem. This edition explores the theorem's connection with the axiom of choice, discusses the uniqueness of Hahn-Banach extensions, and includes an entirely new chapter on v
This comprehensive volume develops all of the standard features of Fourier analysis - Fourier series, Fourier transform, Fourier sine and cosine transforms, and wavelets. The books approach emphasizes the role of the "selector" functions, and is not embedded in the usual engineering context, which makes the material more accessible to a wider audience. While there are several publications on the various individual topics, none combine or even include all of the above.
(Applause Books). It is hard to believe that over 25 years have passed since A Chorus Line first electrified a New York audience. The memories of the show's birth in 1975, not to mention those of its 15-year-life and poignant death, remain incandescent and not just because nothing so exciting has happened to the American musical since. For a generation of theater people and theatergoers, A Chorus Line was and is the touchstone that defines the glittering promise, more often realized in lengend than in reality, of the Broadway way. This impressive book contains the complete book and lyrics of one of the longest running shows in Broadway history with a preface by Samuel Freedman, an introduction by Frank Rich and lots of photos from the stage production.
The year is 1971. Childhood leukemia, the most feared disease in the era of antibiotics, is the most common cancer of childhood and 100% fatal. These are trying times for those like me who, unaccountably, have chosen the field of pediatric oncology. In the absence of effective treatment, we have little to offer but our good intentions. On the other hand, things couldn’t get much worse, so we are certain that they must get better. Little do we know, however, that we are on the cusp of a breakthrough. It has been observed that remissions achieved with combinations of chemotherapy drugs often end with the appearance of leukemic cells in the nervous system. Perhaps the nervous system is a “sanctuary site” where drugs cannot reach leukemic cells. To address this problem, radiation is given to the brain. Within a few years we notice that many children are still in remission longer than expected. Ultimately, we are willing to call them “cured”. This book relates this and numerous other major developments In cancer treatment as experienced by the author who provides his personal perspective on those people and events which moved the field forward and others that didn’t. The current status is critically and sometimes humorously reviewed.
Introductory Probability is a pleasure to read and provides a fine answer to the question: How do you construct Brownian motion from scratch, given that you are a competent analyst? There are at least two ways to develop probability theory. The more familiar path is to treat it as its own discipline, and work from intuitive examples such as coin flips and conundrums such as the Monty Hall problem. An alternative is to first develop measure theory and analysis, and then add interpretation. Bhattacharya and Waymire take the second path.
From prosecuting (and defending) murderers in the Bronx to handling the public and private problems of Manhattan’s elite, Mouthpiece recounts the colorful adventures of New York City’s ultimate legal operator. “In the pages before us, the Counselor tells a saga’s worth of tales of the city. As the saying goes, he’s got a million of them.” —Tom Wolfe, from his Introduction Edward Hayes is that unusual combination: the likable lawyer, one who could have stepped off the stages of Guys and Dolls or Chicago. Mouthpiece is his story—an irreverent, entertaining, and revealing look at the practice of law in modern times and a social and political anatomy of New York City. It recounts Hayes’s childhood in the tough Irish sections of Queens and his eventual escape to the University of Virginia and then to Columbia Law School. Not at all white-shoe-firm material, Hayes headed to the hair-raising, crime-ridden South Bronx of the midseventies—first as a homicide prosecutor and then as a defense attorney seeking to free the same sort of people he formerly had put in jail. Tom Wolfe immortalized this setting in The Bonfire of the Vanities. Ed Hayes was his guide, and he served as the model for the scrappy defense lawyer Tommy Killian. Eventually, Hayes moved his practice to Manhattan, using his neighborhood white boy instincts and connections and the rough-and-tumble techniques learned in the Bronx on behalf of the rich and powerful and famous. From a high-stakes legal shootout over the Andy Warhol estate to working to secure financial justice for the families of the World Trade Center victims, Hayes has been behind the scenes of how New York City really operates. For the tens of millions fascinated by New York’s unique blend of glitter and grime, of idealism and corruption, of avarice and ambition, Mouthpiece provides the ultimate close-up of high-stakes Gotham gamesmanship.
With many new concrete examples and historical notes, Topological Vector Spaces, Second Edition provides one of the most thorough and up-to-date treatments of the Hahn-Banach theorem. This edition explores the theorem's connection with the axiom of choice, discusses the uniqueness of Hahn-Banach extensions, and includes an entirely new chapter on v
This book presents functional analysis over arbitrary valued fields and investigates normed spaces and algebras over fields with valuation, with attention given to the case when the norm and the valuation are nonarchimedean. It considers vector spaces over fields with nonarchimedean valuation.
Topological Vector Spaces provides a detailed survey of functional analysis. It covers such basic principles as the Banach-Steinhaus ... Hahn-Banach ... and Krein-Milman -- and includes a closed graph theorem with an introduction to webbed spaces. Supplemented by numerous examples and exercises, this volume provides a solid foundation for anyone interested in distribution theory. Topological Vector Spaces is important reading for analysts, physicists and engineers interested in distribution theory, and graduate-level and professional researchers in functional analysis. Book jacket.
This comprehensive volume develops all of the standard features of Fourier analysis - Fourier series, Fourier transform, Fourier sine and cosine transforms, and wavelets. The books approach emphasizes the role of the "selector" functions, and is not embedded in the usual engineering context, which makes the material more accessible to a wider audience. While there are several publications on the various individual topics, none combine or even include all of the above.
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