Algebraic Curves: An Introduction to Algebraic Geometry (Advanced Book Classics)

Science & Math

Fulton, William

Mathematics

Addison-Wesley

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

Algebraic Topology: A First Course (Graduate Texts in Mathematics, 153)

Springer

Shipped from UK, please allow 10 to 21 business days for arrival. Riemann-Roch algebra, hardcover, 203pp. ill. Includes index. Bibliography: p. [197]-198. Good copy, previous owners name inside front end-paper.

Riemann-Roch Algebra (Grundlehren der mathematischen Wissenschaften, 277)

Lang, Serge

The primary goal of these lectures is to introduce a beginner to the finite dimensional representations of Lie groups and Lie algebras. Since this goal is shared by quite a few other books, we should explain in this Preface how our approach differs, although the potential reader can probably see this better by a quick browse through the book. Representation theory is simple to define: it is the study of the ways in which a given group may act on vector spaces. It is almost certainly unique, however, among such clearly delineated subjects, in the breadth of its interest to mathematicians. This is not surprising: group actions are ubiquitous in 20th century mathematics, and where the object on which a group acts is not a vector space, we have learned to replace it by one that is {e. g. , a cohomology group, tangent space, etc. }. As a consequence, many mathematicians other than specialists in the field {or even those who think they might want to be} come in contact with the subject in various ways. It is for such people that this text is designed. To put it another way, we intend this as a book for beginners to learn from and not as a reference. This idea essentially determines the choice of material covered here. As simple as is the definition of representation theory given above, it fragments considerably when we try to get more specific.

Representation Theory: A First Course (Graduate Texts in Mathematics, 129)

Harris, Joe

This book develops the combinatorics of Young tableaux and shows them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The first part of the book is a self-contained presentation of the basic combinatorics of Young tableaux, including the remarkable constructions of "bumping" and "sliding", and several interesting correspondences. In Part II the author uses these results to study representations with geometry on Grassmannians and flag manifolds, including their Schubert subvarieties, and the related Schubert polynomials. Much of this material has never before appeared in book form. There are numerous exercises throughout, with hints and answers provided. Researchers in representation theory and algebraic geometry as well as in combinatorics will find this book interesting and useful, while students will find the intuitive presentation easy to follow.

Young Tableaux: With Applications to Representation Theory and Geometry (London Mathematical Society Student Texts, Vol. 35) (London Mathematical Society Student Texts, Series Number 35)

Cambridge University Press

This book develops the combinatorics of Young tableaux and shows them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The first part of the book is a self-contained presentation of the basic combinatorics of Young tableaux, including the remarkable constructions of "bumping" and "sliding", and several interesting correspondences. In Part II the author uses these results to study representations with geometry on Grassmannians and flag manifolds, including their Schubert subvarieties, and the related Schubert polynomials. Much of this material has never before appeared in book form. There are numerous exercises throughout, with hints and answers provided. Researchers in representation theory and algebraic geometry as well as in combinatorics will find this book interesting and useful, while students will find the intuitive presentation easy to follow.

Young Tableaux: With Applications to Representation Theory and Geometry (London Mathematical Society Student Texts, Series Number 35)

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 &amp; 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

Romancing the Smokestack: How Cities and States Pursue Prosperity

Business & Money

Economics

Solimar Books

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.

Introduction to Toric Varieties. (AM-131)

Princeton University Press

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.

Introduction to Toric Varieties. (AM-131), Volume 131 (Annals of Mathematics Studies, 131)

See the best price to sell, buy, or rent books by Fulton, William. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Fulton, William

See the best price to sell, buy, or rent books by Fulton, William. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Algebraic Curves: An Introduction to Algebraic Geometry (Advanced Book Classics)

Algebraic Topology: A First Course (Graduate Texts in Mathematics, 153)

Riemann-Roch Algebra (Grundlehren der mathematischen Wissenschaften, 277)

Representation Theory: A First Course (Graduate Texts in Mathematics, 129)

Representation Theory: A First Course (Graduate Texts in Mathematics, 129)

Young Tableaux: With Applications to Representation Theory and Geometry (London Mathematical Society Student Texts, Vol. 35) (London Mathematical Society Student Texts, Series Number 35)

Young Tableaux: With Applications to Representation Theory and Geometry (London Mathematical Society Student Texts, Series Number 35)

Romancing the Smokestack: How Cities and States Pursue Prosperity

Introduction to Toric Varieties. (AM-131)

Introduction to Toric Varieties. (AM-131), Volume 131 (Annals of Mathematics Studies, 131)