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Author: Joel H. Shapiro
Publisher: American Mathematical Soc.
ISBN: 1470441160
Category : Mathematics
Languages : en
Pages : 240
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Book Description
This book introduces functional analysis to undergraduate mathematics students who possess a basic background in analysis and linear algebra. By studying how the Volterra operator acts on vector spaces of continuous functions, its readers will sharpen their skills, reinterpret what they already know, and learn fundamental Banach-space techniques—all in the pursuit of two celebrated results: the Titchmarsh Convolution Theorem and the Volterra Invariant Subspace Theorem. Exercises throughout the text enhance the material and facilitate interactive study.
Author: Joel H. Shapiro
Publisher: American Mathematical Soc.
ISBN: 1470441160
Category : Mathematics
Languages : en
Pages : 240
Get Book Here
Book Description
This book introduces functional analysis to undergraduate mathematics students who possess a basic background in analysis and linear algebra. By studying how the Volterra operator acts on vector spaces of continuous functions, its readers will sharpen their skills, reinterpret what they already know, and learn fundamental Banach-space techniques—all in the pursuit of two celebrated results: the Titchmarsh Convolution Theorem and the Volterra Invariant Subspace Theorem. Exercises throughout the text enhance the material and facilitate interactive study.
Author: Joel H. Shapiro
Publisher: Springer
ISBN: 3319279785
Category : Mathematics
Languages : en
Pages : 225
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Book Description
This text provides an introduction to some of the best-known fixed-point theorems, with an emphasis on their interactions with topics in analysis. The level of exposition increases gradually throughout the book, building from a basic requirement of undergraduate proficiency to graduate-level sophistication. Appendices provide an introduction to (or refresher on) some of the prerequisite material and exercises are integrated into the text, contributing to the volume’s ability to be used as a self-contained text. Readers will find the presentation especially useful for independent study or as a supplement to a graduate course in fixed-point theory. The material is split into four parts: the first introduces the Banach Contraction-Mapping Principle and the Brouwer Fixed-Point Theorem, along with a selection of interesting applications; the second focuses on Brouwer’s theorem and its application to John Nash’s work; the third applies Brouwer’s theorem to spaces of infinite dimension; and the fourth rests on the work of Markov, Kakutani, and Ryll–Nardzewski surrounding fixed points for families of affine maps.
Author: Hart Crane
Publisher: Liveright Publishing Corporation
ISBN:
Category : American poetry
Languages : en
Pages : 120
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Book Description
Like Whitman, Hart Crane strove in his poetry to embrace America, to distill an image of America.
Author: Joel H. Shapiro
Publisher: Springer Science & Business Media
ISBN: 1461208874
Category : Mathematics
Languages : en
Pages : 229
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Book Description
The study of composition operators links some of the most basic questions you can ask about linear operators with beautiful classical results from analytic-function theory. The process invests old theorems with new mean ings, and bestows upon functional analysis an intriguing class of concrete linear operators. Best of all, the subject can be appreciated by anyone with an interest in function theory or functional analysis, and a background roughly equivalent to the following twelve chapters of Rudin's textbook Real and Complex Analysis [Rdn '87]: Chapters 1-7 (measure and integra tion, LP spaces, basic Hilbert and Banach space theory), and 10-14 (basic function theory through the Riemann Mapping Theorem). In this book I introduce the reader to both the theory of composition operators, and the classical results that form its infrastructure. I develop the subject in a way that emphasizes its geometric content, staying as much as possible within the prerequisites set out in the twelve fundamental chapters of Rudin's book. Although much of the material on operators is quite recent, this book is not intended to be an exhaustive survey. It is, quite simply, an invitation to join in the fun. The story goes something like this.
Author: Ben Shapiro
Publisher: Post Hill Press
ISBN: 1682610780
Category : Fiction
Languages : en
Pages : 268
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Book Description
Author: Jody B. Shapiro
Publisher: Arcadia Publishing
ISBN: 1439618585
Category : Photography
Languages : en
Pages : 134
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Book Description
Aptly named because of its hilly terrain and abundance of trees, the area now known as Forest Hills was a dusty coal mining community in the late 1800s. Centered between two major roads, the Lincoln Highway (Ardmore Boulevard/U.S. Route 30) and the Greensburg Pike, Forest Hills was incorporated in 1919 in order to gain better representation for tax money. Technology put the town on the map with the first commercial licensed radio station broadcast in 1920 and the Westinghouse Atom Smasher, built in 1937. As the borough grew with new houses, schools, and parks, so did traditions such as the Fourth of July celebration at Forest Hills Park and the Bryn Mawr Corn Roast. Many who live in the community are third or fourth generation residents. Using vintage photographs, Forest Hills presents the untold story of this tight-knit community.
Author: Kenneth Joel Shapiro
Publisher: Seattle, [Wash.] ; Toronto : Hogrefe & Huber
ISBN:
Category : Medical
Languages : en
Pages : 352
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Book Description
After surveying current research practices and model development strategies, the author examines animal models of eating disorders from both scientific and ethical points of view. He exposes logical inconsistencies in the study of animals as models for human behavior, and concludes that such research has little to contribute. The foreword is by noted chimpanzee-researcher Jane Goodall. Annotation copyrighted by Book News, Inc., Portland, OR
Author: Mark Godfrey
Publisher: Yale University Press
ISBN: 9780300126761
Category : Art
Languages : en
Pages : 316
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Book Description
Mark Godfrey looks closely at a series of American art and architectural projects that respond to the memory of the Holocaust. He investigates how abstract artists and architects have negotiated Holocaust memory without representing the Holocaust figuratively or symbolically.
Author: Cornelia H. Butler
Publisher: Museum of Contemporary Art, San Diego
ISBN:
Category : Art
Languages : en
Pages : 28
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Book Description
The term "process art" describes a moment of radical, a formal experimentation in postwar American sculpture. Through the medium of drawing, Afterimage revisits process art in terms of the artists who defined the movement and suggests a transitional moment when many of its practitioners anticipated the feminist and postminimalist art of the 1970s. Nancy Grossman's use of language, for example, suggests a kind of material abstraction, and Nancy Holt's earth works and related drawings introduced content into a minimalist vocabulary. The book also explores the drawing as a residual object in works in which the process of making dictates the form of the drawing. Examples include Gordon Matta-Clark's stacked cuttings, Robert Morris' "blind time" drawings, and Sol Lewitt's folded construction drawings. Other works, such as those by Bruce Nauman and Robert Smithson, record a particular approach to body-based and process-oriented sculpture. The book, which accompanies an exhibition, contains an essay by Cornelia H. Butler on the historical ambiguity surrounding process art and one by Pamela M. Lee on temporality in work of the late1960s. The artists included in the book are William Anastasi, Richard Artschwager, Mel Bochner, Agnes Denes, Nancy Grossman, Robert Grosvenor, Marcia Hafif, Eva Hesse, Nancy Holt, Barry LeVa, SolLewitt, Lee Lozano, Sylvia Plimack Mangold, Gordon Matta-Clark, Robert Morris, Bruce Nauman, Yvonne Rainer, Dorothea Rockburne, Alan Saret, Joel Shapiro, Robert Smithson, Michelle Stuart, Richard Tuttle, and Jack Whitten. Copublished with The Museum of Contemporary Art. Los Angeles.
Author: Edward S. Shapiro
Publisher: University of Scranton Press
ISBN:
Category : History
Languages : en
Pages : 230
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Book Description
Yiddish is a rich, complex, and multilayered language, and that complexity is reflected in Yiddish culture. In Yiddish in America, Edward S. Shapiro has gathered a collection of lively essays on Yiddish literature, music, film, and journalism in the United States. This accessible volume demonstrates the enduring value of Yiddish culture through its reliance on solidarity, its artistic adaptability, and its balance of secular and religious characteristics. Shapiro also addresses the problems that have arisen when this vibrant language has been misunderstood or stereotyped, in a book that is sure to delight anyone interested in American Jewish culture.
