Advances In Algebra And Geometry

Author : Christopher D. Hacon
Publisher : Cambridge University Press
ISBN 13 : 110764755X
Total Pages : 451 pages
Book Rating : 4.58/5 ( download)

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Download or read book Recent Advances in Algebraic Geometry written by Christopher D. Hacon and published by Cambridge University Press. This book was released on 2015-01-15 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.

Author : M Droste
Publisher : CRC Press
ISBN 13 : 1000725278
Total Pages : 516 pages
Book Rating : 4.78/5 ( download)

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Download or read book Advances in Algebra and Model Theory written by M Droste and published by CRC Press. This book was released on 2019-08-16 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains 25 surveys in algebra and model theory, all written by leading experts in the field. The surveys are based around talks given at conferences held in Essen, 1994, and Dresden, 1995. Each contribution is written in such a way as to highlight the ideas that were discussed at the conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community. The topics include field and ring theory as well as groups, ordered algebraic structure and their relationship to model theory. Several papers deal with infinite permutation groups, abelian groups, modules and their relatives and representations. Model theoretic aspects include quantifier elimination in skew fields, Hilbert's 17th problem, (aleph-0)-categorical structures and Boolean algebras. Moreover symmetry questions and automorphism groups of orders are covered. This work contains 25 surveys in algebra and model theory, each is written in such a way as to highlight the ideas that were discussed at Conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community.

Author : Ulrich Görtz
Publisher : Springer Science & Business Media
ISBN 13 : 3834897221
Total Pages : 615 pages
Book Rating : 4.20/5 ( download)

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Download or read book Algebraic Geometry written by Ulrich Görtz and published by Springer Science & Business Media. This book was released on 2010-08-09 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to modern algebraic geometry. It presents Grothendieck's technically demanding language of schemes that is the basis of the most important developments in the last fifty years within this area. A systematic treatment and motivation of the theory is emphasized, using concrete examples to illustrate its usefulness. Several examples from the realm of Hilbert modular surfaces and of determinantal varieties are used methodically to discuss the covered techniques. Thus the reader experiences that the further development of the theory yields an ever better understanding of these fascinating objects. The text is complemented by many exercises that serve to check the comprehension of the text, treat further examples, or give an outlook on further results. The volume at hand is an introduction to schemes. To get startet, it requires only basic knowledge in abstract algebra and topology. Essential facts from commutative algebra are assembled in an appendix. It will be complemented by a second volume on the cohomology of schemes.

Author : Emma Previato
Publisher : American Mathematical Soc.
ISBN 13 : 082182810X
Total Pages : 310 pages
Book Rating : 4.06/5 ( download)

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Download or read book Advances in Algebraic Geometry Motivated by Physics written by Emma Previato and published by American Mathematical Soc.. This book was released on 2001 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our knowledge of objects of algebraic geometry such as moduli of curves, (real) Schubert classes, fundamental groups of complements of hyperplane arrangements, toric varieties, and variation of Hodge structures, has been enhanced recently by ideas and constructions of quantum field theory, such as mirror symmetry, Gromov-Witten invariants, quantum cohomology, and gravitational descendants. These are some of the themes of this refereed collection of papers, which grew out of the special session, ``Enumerative Geometry in Physics,'' held at the AMS meeting in Lowell, MA, April 2000. This session brought together mathematicians and physicists who reported on the latest results and open questions; all the abstracts are included as an Appendix, and also included are papers by some who could not attend. The collection provides an overview of state-of-the-art tools, links that connect classical and modern problems, and the latest knowledge available.

Author : Anthony W. Knapp
Publisher : Springer Science & Business Media
ISBN 13 : 0817646132
Total Pages : 730 pages
Book Rating : 4.34/5 ( download)

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Download or read book Advanced Algebra written by Anthony W. Knapp and published by Springer Science & Business Media. This book was released on 2007-10-11 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. Together the two books give the reader a global view of algebra and its role in mathematics as a whole.

Author : Mark V. Lawson
Publisher : CRC Press
ISBN 13 : 148224649X
Total Pages : 384 pages
Book Rating : 4.90/5 ( download)

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Download or read book Algebra & Geometry written by Mark V. Lawson and published by CRC Press. This book was released on 2016-06-21 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra & Geometry: An Introduction to University Mathematics provides a bridge between high school and undergraduate mathematics courses on algebra and geometry. The author shows students how mathematics is more than a collection of methods by presenting important ideas and their historical origins throughout the text. He incorporates a hands-on approach to proofs and connects algebra and geometry to various applications. The text focuses on linear equations, polynomial equations, and quadratic forms. The first several chapters cover foundational topics, including the importance of proofs and properties commonly encountered when studying algebra. The remaining chapters form the mathematical core of the book. These chapters explain the solution of different kinds of algebraic equations, the nature of the solutions, and the interplay between geometry and algebra

Author : Yuri Tschinkel
Publisher : Springer Science & Business Media
ISBN 13 : 0817647473
Total Pages : 700 pages
Book Rating : 4.76/5 ( download)

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Download or read book Algebra, Arithmetic, and Geometry written by Yuri Tschinkel and published by Springer Science & Business Media. This book was released on 2010-04-11 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: EMAlgebra, Arithmetic, and Geometry: In Honor of Yu. I. ManinEM consists of invited expository and research articles on new developments arising from Manin’s outstanding contributions to mathematics.

Author : C. Musili
Publisher : Springer
ISBN 13 : 9386279126
Total Pages : 311 pages
Book Rating : 4.25/5 ( download)

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Download or read book Advances in Algebra and Geometry written by C. Musili and published by Springer. This book was released on 2003-01-01 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributed articles presented at the Conference, sponsored by National Science Foundation, USA [and others].

Author : Alan F. Beardon
Publisher : Cambridge University Press
ISBN 13 : 1139443496
Total Pages : 340 pages
Book Rating : 4.94/5 ( download)

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Download or read book Algebra and Geometry written by Alan F. Beardon and published by Cambridge University Press. This book was released on 2005-05-12 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describing two cornerstones of mathematics, this basic textbook presents a unified approach to algebra and geometry. It covers the ideas of complex numbers, scalar and vector products, determinants, linear algebra, group theory, permutation groups, symmetry groups and aspects of geometry including groups of isometries, rotations, and spherical geometry. The book emphasises the interactions between topics, and each topic is constantly illustrated by using it to describe and discuss the others. Many ideas are developed gradually, with each aspect presented at a time when its importance becomes clearer. To aid in this, the text is divided into short chapters, each with exercises at the end. The related website features an HTML version of the book, extra text at higher and lower levels, and more exercises and examples. It also links to an electronic maths thesaurus, giving definitions, examples and links both to the book and to external sources.

Author : Bill Jacob
Publisher : American Mathematical Soc.
ISBN 13 : 0821851543
Total Pages : 416 pages
Book Rating : 4.48/5 ( download)

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Download or read book Recent Advances in Real Algebraic Geometry and Quadratic Forms written by Bill Jacob and published by American Mathematical Soc.. This book was released on 1994 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers collected here present an up-to-date record of the current research developments in the fields of real algebraic geometry and quadratic forms. Articles range from the technical to the expository and there are also indications to new research directions.