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Author: Joel H. Shapiro Publisher: American Mathematical Soc. ISBN: 1470441160 Category : Mathematics Languages : en Pages : 240
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
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
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: Joel H. Shapiro Publisher: Springer Science & Business Media ISBN: 1461208874 Category : Mathematics Languages : en Pages : 229
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: Kenneth Joel Shapiro Publisher: Seattle, [Wash.] ; Toronto : Hogrefe & Huber ISBN: Category : Medical Languages : en Pages : 352
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: Jody B. Shapiro Publisher: Arcadia Publishing ISBN: 1439618585 Category : Photography Languages : en Pages : 134
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: Mark Godfrey Publisher: Yale University Press ISBN: 9780300126761 Category : Art Languages : en Pages : 316
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: Karen O. Janovy Publisher: U of Nebraska Press ISBN: 080327629X Category : Art Languages : en Pages : 299
Book Description
"All of the 90 pieces selected from more than 350 works in the collection are presented here in full color, each accompanied by a brief discussion of the artist and his or her work by leading scholars in the field as well as authorities on the collection. The essays examine the works of sculptors represented in the Sheldon's collection, including Barlach, Brancusi, Calder, Duchamp, Moore, and Rodin, and present a concise yet comprehensive overview of pertinent scholarship that will be of value to both students and experts in the field."--BOOK JACKET.
Author: Harriet Senie Publisher: Oxford University Press, USA ISBN: Category : Art Languages : en Pages : 300
Book Description
In the twentieth century, public sculpture has changed almost beyond recognition. Works inspired by classical and Renaissance traditions - imposing equestrian monuments and triumphal arches - have been replaced by works such as Claes Oldenburg's Clothespin and Christo's Running Fence. This break from tradition has led to radically different approaches to public sculpture - but not without bitter controversy within both the art community and the general public. Contemporary Public Sculpture offers the first comprehensive look at this highly diverse and often controversial branch of modern art. Beginning with the revival of public sculpture in the 1960s, with the work of Picasso, Calder, Moore, Nevelson, and others, Senie traces the developments that defined a new civic art: one which substituted the artist's fame for public content and sparked debates about cost, the role of government, and the place of public art in a democratic society. She shows how the growing irrelevance of traditional memorials resulted in a new approach to the genre defined by Maya Lin's Vietnam Veteran's Memorial, which set out to "heal a nation" rather than glorify a military event by honoring victims rather than heroes; and how dissatisfaction with modern "glass box" architecture and its surrounding barren urban spaces led architectural firms like Skidmore, Owings, & Merrill to use art to enliven both. Senie discusses how the earthworks of Robert Smithson and others inspired public sculpture that brought various landscape elements into urban sites; and she explores works by George Sugarman and Scott Burton that combine sculpture and furniture, changing the very idea of public art by creating a stage for publiclife. Finally, she examines the controversies that arise when citizens (including the press and politicians) confront publicly funded work - such as Joel Shapiro's "Headless Gumby" or Serra's Tilted Arc - that defies their sense of what public sculpture should be. Illustrated with over one hundred halftones, this overview of contemporary public sculpture provides a clear understanding of why it is there, why it looks the way it does, and what is really at stake in the continuing public art controversy.
Author: Joel H. Shapiro
Author: Joel H. Shapiro
Author: Ben Shapiro
Author: Joel H. Shapiro
Author: Hart Crane
Author: Joel H. Shapiro
Author: Kenneth Joel Shapiro
Author: Jody B. Shapiro
Author: Mark Godfrey
Author: Karen O. Janovy
Author: Harriet Senie