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Book Synopsis Algebraic Curves by : William Fulton
Download or read book Algebraic Curves written by William Fulton and published by . This book was released on 2008 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of these notes is to develop the theory of algebraic curves from the viewpoint of modern algebraic geometry, but without excessive prerequisites. We have assumed that the reader is familiar with some basic properties of rings, ideals and polynomials, such as is often covered in a one-semester course in modern algebra; additional commutative algebra is developed in later sections.
Download or read book Intersection Theory written by W. Fulton and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the ancient origins of algebraic geometry in the solution of polynomial equations, through the triumphs of algebraic geometry during the last two cen turies, intersection theory has played a central role. Since its role in founda tional crises has been no less prominent, the lack of a complete modern treatise on intersection theory has been something of an embarrassment. The aim of this book is to develop the foundations of intersection theory, and to indicate the range of classical and modern applications. Although a comprehensive his tory of this vast subject is not attempted, we have tried to point out some of the striking early appearances of the ideas of intersection theory. Recent improvements in our understanding not only yield a stronger and more useful theory than previously available, but also make it possible to devel op the subject from the beginning with fewer prerequisites from algebra and algebraic geometry. It is hoped that the basic text can be read by one equipped with a first course in algebraic geometry, with occasional use of the two appen dices. Some of the examples, and a few of the later sections, require more spe cialized knowledge. The text is designed so that one who understands the con structions and grants the main theorems of the first six chapters can read other chapters separately. Frequent parenthetical references to previous sections are included for such readers. The summaries which begin each chapter should fa cilitate use as a reference.
Book Synopsis Introduction to Toric Varieties by : William Fulton
Download or read book Introduction to Toric Varieties written by William Fulton and published by Princeton University Press. This book was released on 1993 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Toric varieties are algebraic varieties arising from elementary geometric and combinatorial objects such as convex polytopes in Euclidean space with vertices on lattice points. Since many algebraic geometry notions such as singularities, birational maps, cycles, homology, intersection theory, and Riemann-Roch translate into simple facts about polytopes, toric varieties provide a marvelous source of examples in algebraic geometry. In the other direction, general facts from algebraic geometry have implications for such polytopes, such as to the problem of the number of lattice points they contain. In spite of the fact that toric varieties are very special in the spectrum of all algebraic varieties, they provide a remarkably useful testing ground for general theories. The aim of this mini-course is to develop the foundations of the study of toric varieties, with examples, and describe some of these relations and applications. The text concludes with Stanley's theorem characterizing the numbers of simplicies in each dimension in a convex simplicial polytope. Although some general theorems are quoted without proof, the concrete interpretations via simplicial geometry should make the text accessible to beginners in algebraic geometry.
Book Synopsis Representation Theory by : William Fulton
Download or read book Representation Theory written by William Fulton and published by Springer Science & Business Media. This book was released on 1991 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing finite-dimensional representations of Lie groups and Lie algebras, this example-oriented book works from representation theory of finite groups, through Lie groups and Lie algrbras to the finite dimensional representations of the classical groups.
Book Synopsis Riemann-Roch Algebra by : William Fulton
Download or read book Riemann-Roch Algebra written by William Fulton and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: In various contexts of topology, algebraic geometry, and algebra (e.g. group representations), one meets the following situation. One has two contravariant functors K and A from a certain category to the category of rings, and a natural transformation p:K--+A of contravariant functors. The Chern character being the central exam ple, we call the homomorphisms Px: K(X)--+ A(X) characters. Given f: X--+ Y, we denote the pull-back homomorphisms by and fA: A(Y)--+ A(X). As functors to abelian groups, K and A may also be covariant, with push-forward homomorphisms and fA: A(X)--+ A(Y). Usually these maps do not commute with the character, but there is an element r f E A(X) such that the following diagram is commutative: K(X)~A(X) fK j J~A K(Y) --p;-+ A(Y) The map in the top line is p x multiplied by r f. When such commutativity holds, we say that Riemann-Roch holds for f. This type of formulation was first given by Grothendieck, extending the work of Hirzebruch to such a relative, functorial setting. Since then viii INTRODUCTION several other theorems of this Riemann-Roch type have appeared. Un derlying most of these there is a basic structure having to do only with elementary algebra, independent of the geometry. One purpose of this monograph is to describe this algebra independently of any context, so that it can serve axiomatically as the need arises.
Book Synopsis Algebraic Topology by : William Fulton
Download or read book Algebraic Topology written by William Fulton and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: To the Teacher. This book is designed to introduce a student to some of the important ideas of algebraic topology by emphasizing the re lations of these ideas with other areas of mathematics. Rather than choosing one point of view of modem topology (homotopy theory, simplicial complexes, singular theory, axiomatic homology, differ ential topology, etc.), we concentrate our attention on concrete prob lems in low dimensions, introducing only as much algebraic machin ery as necessary for the problems we meet. This makes it possible to see a wider variety of important features of the subject than is usual in a beginning text. The book is designed for students of mathematics or science who are not aiming to become practicing algebraic topol ogists-without, we hope, discouraging budding topologists. We also feel that this approach is in better harmony with the historical devel opment of the subject. What would we like a student to know after a first course in to pology (assuming we reject the answer: half of what one would like the student to know after a second course in topology)? Our answers to this have guided the choice of material, which includes: under standing the relation between homology and integration, first on plane domains, later on Riemann surfaces and in higher dimensions; wind ing numbers and degrees of mappings, fixed-point theorems; appli cations such as the Jordan curve theorem, invariance of domain; in dices of vector fields and Euler characteristics; fundamental groups
Book Synopsis Schubert Varieties and Degeneracy Loci by : William Fulton
Download or read book Schubert Varieties and Degeneracy Loci written by William Fulton and published by Springer. This book was released on 2006-11-13 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Schubert varieties and degeneracy loci have a long history in mathematics, starting from questions about loci of matrices with given ranks. These notes, from a summer school in Thurnau, aim to give an introduction to these topics, and to describe recent progress on these problems. There are interesting interactions with the algebra of symmetric functions and combinatorics, as well as the geometry of flag manifolds and intersection theory and algebraic geometry.
Download or read book Young Tableaux written by William Fulton and published by Cambridge University Press. This book was released on 1997 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes combinatorics involving Young tableaux and their uses in representation theory and algebraic geometry.
Book Synopsis The Blood of Patriots by : Bill Fulton
Download or read book The Blood of Patriots written by Bill Fulton and published by National Geographic Books. This book was released on 2017-09-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: When Bill Fulton arrived in Alaska, he was filled with optimism and big dreams. When he left, it was under FBI escort. Bill was Army Infantry. When his knees gave out, he opened the Drop Zone, a military surplus store in Anchorage, and started hiring fellow vets. Sharpshooting hippies, crew-cutted fundamentalists, PTSD sufferers—all seeking purpose and direction. Alaska gave it to them. The Last Frontier is vast. The perfect refuge for fugitives and the perfect place for vets itching for a mission, Alaska is a giant icebox full of people either running to or away from something. More than 400 fugitives would meet Bill and company on the wrong side of a gun, and he would learn many lessons along the way—like even tiptoeing through subzero snow can get you shot, and removing a gun from the butt crack of a 300-pound man is just as fun as it sounds. Bill was enjoying the ride until, one day, the FBI asked him to go undercover, and his road forked. Schaeffer Cox was a sovereign citizen who believed no government had authority over him and a private militia commander amassing an arsenal and plotting to kill judges and law enforcement officers. Bill's mission: to take down Cox and his militia without a shot being fired. The Blood of Patriots traverses a wide swath of rugged territory. Raucously funny and stark, it depicts men, once brothers in arms serving their country, who now find themselves on opposite sides of those arms in a deadly test of the intricacies of liberty, the proper role of government, and the true meaning of patriotism. It offers a witty and unsettling look at political rhetoric gone haywire and a movement the FBI considers the single greatest threat to law enforcement in the nation—all set in the beautiful, terrifying landscape of our 49th State.
Book Synopsis Place and Prosperity by : William Fulton
Download or read book Place and Prosperity written by William Fulton and published by Island Press. This book was released on 2022-07-21 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Place and Prosperity: How Cities Help Us to Connect and Innovate, urban planning expert William Fulton takes an engaging look at the importance of connecting to place, how cities are engines of prosperity, and how these two ideas - place and prosperity - lie at the heart of what a city is and, by extension, what our society is all about. Fulton has been writing about cities over his forty-year career as a journalist, professor, mayor, planning director, and the director of an urban think tank in one of America's great cities. Place and Prosperity is a curated collection of his writings with new and updated selections and framing material. Fulton shows that at their best, cities not only inspire and uplift us, but they make our daily life more convenient, more fulfilling, and more prosperous.
Book Synopsis Guide to California Planning by : William B. Fulton
Download or read book Guide to California Planning written by William B. Fulton and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Since it was first published in 1991, Guide to California planning has served as the authoritative textbook on city and county planning practice throughout the state. The first book ever written that covers all aspects of planning in a single state, Guide to California planning is used as a textbook in virtually every college- and graduate-level planning program in California. In this revised and expanded sixth edition, William Fulton lays out planning laws and processes in detail and describe how planning really works in California--how cities and counties and developers and citizen groups all interact with each other on a daily basis to shape California communities and the California landscape, for better and for worse. Significant new topics addressed in this edition include the state's increasing focus on housing production and planning for climate adaptation. Easy to read and understand, Guide to California planning is far more than a textbook. It's an ideal tool for planning professionals, members of allied professions in the planning and development fields, and citizen activists."--
Book Synopsis The Regional City by : Peter Calthorpe
Download or read book The Regional City written by Peter Calthorpe and published by Shearwater Books. This book was released on 2001 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In The Regional City, two of the most innovative thinkers in the field of urban design and land use planning offer a detailed look at this new metropolitan form: its genesis, physical structure, and policy foundation. Using full-color graphics and in-depth case studies, they provide a thorough examination of the emerging field of regional design, explaining how new forms of smart growth and neighborhood design can help put an end to sprawl, urban disinvestment, and squandered resources." "This book is a must read for environmentalists, planners, architects, landscape architects, local officials, real estate developers, community development advocates, and students in architecture, urban planning, and policy."--BOOK JACKET.
Book Synopsis Introduction to Intersection Theory in Algebraic Geometry by : William Fulton
Download or read book Introduction to Intersection Theory in Algebraic Geometry written by William Fulton and published by American Mathematical Soc.. This book was released on 1984 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces some of the main ideas of modern intersection theory, traces their origins in classical geometry and sketches a few typical applications. Suitable for graduate students in mathematics, this book describes the construction and computation of intersection products by means of the geometry of normal cones.
Book Synopsis The Reluctant Metropolis by : William Fulton
Download or read book The Reluctant Metropolis written by William Fulton and published by JHU Press. This book was released on 2001-12-04 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Los Angeles Times Bestseller "William Fulton is the Raymond Chandler of Los Angeles real estate."—Kevin Starr, California State Librarian and author of Material Dreams: Los Angeles through the 1920s A Los Angeles Times Bestseller"William Fulton is the Raymond Chandler of Los Angeles real estate."—Kevin Starr, California State Librarian and author of Material Dreams: Los Angeles through the 1920s In twelve engaging essays, William Fulton chronicles the history of urban planning in the Los Angeles metropolitan area, tracing the legacy of short-sighted political and financial gains that has resulted in a vast urban region on the brink of disaster. Looking at such diverse topics as shady real estate speculations, the construction of the Los Angeles subway, the battle over the future of South Central L.A. after the 1992 riots, and the emergence of Las Vegas as "the new Los Angeles," Fulton offers a fresh perspective on the city's epic sprawl. The only way to reverse the historical trends that have made Los Angeles increasingly unliveable, Fulton concludes, is to confront the prevailing "cocoon citizenship," the mind-set that prevents the city's inhabitants and leaders from recognizing Los Angeles's patchwork of communities as a single metropolis.
Book Synopsis Robert Fulton: American Inventor by : William Morrison
Download or read book Robert Fulton: American Inventor written by William Morrison and published by The Rosen Publishing Group, Inc. This book was released on 2013-08-01 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert Fulton: American Inventor is aligned to the Common Core State Standards for English/Language Arts, addressing Literacy.RI.3.8 and Literacy.L.3.2g. Steamboat inventor Robert Fulton's life is examined in this book with full-page illustrations and narrative nonfiction text. A timeline of Fulton's life is included. This book should be paired with Robert Fulton Invents the Steamboat" (9781477726037) from the Rosen Common Core Readers Program to provide the alternative point of view on the same topic.
Book Synopsis Romancing the Smokestack by : William Fulton
Download or read book Romancing the Smokestack written by William Fulton and published by . This book was released on 2010-10 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: How did Federal Express decide to locate at the Memphis Airport? Why is China also losing manufacturing jobs? Do artists really help turn around a struggling neighborhood? What should you do with a declining auto mall - save it or let it die and start over again? What's better - subsidizing an business or subsidizing the infrastructure such a business requires? These are the kinds of questions that cities and states deal with all the time in their economic development. Bill Fulton's new book, ROMANCING THE SMOKESTACK: HOW CITIES AND STATES PURSUE PROSPERITY, is a collection of economic development columns from GOVERNING magazine that covers deals with these questions - and reveals the good, the bad, and the ugly about how economic development is practiced in the United States. Bill Fulton is a veteran author (GUIDE TO CALIFORNIA PLANNING, THE RELUCTANT METROPOLIS), urban planning and economic development consultant (with the firm Design, Community & Environment), and currently also mayor of Ventura, California, one of the most innovative communities in America. This book discusses economic development efforts that are sometimes shrewd and sometimes stupid - but shows that cities and states are tireless in their efforts to find the next economic engine. You can read an excerpt from the introduction here: https: //www.createspace.com/Preview/1073034
Book Synopsis The War Reminiscences of William Frierson Fulton II by : William Frierson Fulton
Download or read book The War Reminiscences of William Frierson Fulton II written by William Frierson Fulton and published by . This book was released on 1986 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
