Issues In Algebra Geometry And Topology 2011 Edition

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Issues in Algebra, Geometry, and Topology: 2011 Edition

Author :
Publisher : ScholarlyEditions
ISBN 13 : 1464966346
Total Pages : 598 pages
Book Rating : 4.4/5 (649 download)

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Book Synopsis Issues in Algebra, Geometry, and Topology: 2011 Edition by :

Download or read book Issues in Algebra, Geometry, and Topology: 2011 Edition written by and published by ScholarlyEditions. This book was released on 2012-01-09 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Algebra, Geometry, and Topology / 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Algebra, Geometry, and Topology. The editors have built Issues in Algebra, Geometry, and Topology: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Algebra, Geometry, and Topology in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Algebra, Geometry, and Topology: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Issues in Algebra, Geometry, and Topology: 2012 Edition

Author :
Publisher : ScholarlyEditions
ISBN 13 : 148164792X
Total Pages : 126 pages
Book Rating : 4.4/5 (816 download)

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Book Synopsis Issues in Algebra, Geometry, and Topology: 2012 Edition by :

Download or read book Issues in Algebra, Geometry, and Topology: 2012 Edition written by and published by ScholarlyEditions. This book was released on 2013-01-10 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Algebra, Geometry, and Topology / 2012 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Algebra. The editors have built Issues in Algebra, Geometry, and Topology: 2012 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Algebra in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Algebra, Geometry, and Topology: 2012 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Issues in Algebra, Geometry, and Topology: 2013 Edition

Author :
Publisher : ScholarlyEditions
ISBN 13 : 1490105824
Total Pages : 700 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Issues in Algebra, Geometry, and Topology: 2013 Edition by :

Download or read book Issues in Algebra, Geometry, and Topology: 2013 Edition written by and published by ScholarlyEditions. This book was released on 2013-06-20 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Algebra, Geometry, and Topology / 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Topology. The editors have built Issues in Algebra, Geometry, and Topology: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Topology in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Algebra, Geometry, and Topology: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Issues in Algebra, Geometry, and Topology: 2012 Edition

Author :
Publisher : ScholarlyEditions
ISBN 13 : 1481647938
Total Pages : 91 pages
Book Rating : 4.4/5 (816 download)

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Book Synopsis Issues in Algebra, Geometry, and Topology: 2012 Edition by :

Download or read book Issues in Algebra, Geometry, and Topology: 2012 Edition written by and published by ScholarlyEditions. This book was released on 2013-01-10 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Algebra, Geometry, and Topology / 2012 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Algebra. The editors have built Issues in Algebra, Geometry, and Topology: 2012 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Algebra in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Algebra, Geometry, and Topology: 2012 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Algebraic Topology and Related Topics

Author : Mahender Singh
Publisher : Springer
ISBN 13 : 9811357420
Total Pages : 313 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Algebraic Topology and Related Topics by : Mahender Singh

Download or read book Algebraic Topology and Related Topics written by Mahender Singh and published by Springer. This book was released on 2019-02-02 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory. It consists of well-written original research papers and survey articles by subject experts, most of which were presented at the “7th East Asian Conference on Algebraic Topology” held at the Indian Institute of Science Education and Research (IISER), Mohali, Punjab, India, from December 1 to 6, 2017. Algebraic topology is a broad area of mathematics that has seen enormous developments over the past decade, and as such this book is a valuable resource for graduate students and researchers working in the field.

Topology, Geometry, and Gauge Fields

Author : Gregory L. Naber
Publisher : Springer Science & Business Media
ISBN 13 : 1475727429
Total Pages : 410 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Topology, Geometry, and Gauge Fields by : Gregory L. Naber

Download or read book Topology, Geometry, and Gauge Fields written by Gregory L. Naber and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like any books on a subject as vast as this, this book has to have a point-of-view to guide the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered, and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that became the mathematical models of these notions. The reader is asked to join the author on some vague notion of what an electromagnetic field might be, to be willing to accept a few of the more elementary pronouncements of quantum mechanics, and to have a solid background in real analysis and linear algebra and some of the vocabulary of modern algebra. In return, the book offers an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2) connections on S4 with instanton number -1.

Algebraic Topology: A Structural Introduction

Author : Marco Grandis
Publisher : World Scientific
ISBN 13 : 9811248370
Total Pages : 372 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Algebraic Topology: A Structural Introduction by : Marco Grandis

Download or read book Algebraic Topology: A Structural Introduction written by Marco Grandis and published by World Scientific. This book was released on 2021-12-24 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic Topology is a system and strategy of partial translations, aiming to reduce difficult topological problems to algebraic facts that can be more easily solved. The main subject of this book is singular homology, the simplest of these translations. Studying this theory and its applications, we also investigate its underlying structural layout - the topics of Homological Algebra, Homotopy Theory and Category Theory which occur in its foundation.This book is an introduction to a complex domain, with references to its advanced parts and ramifications. It is written with a moderate amount of prerequisites — basic general topology and little else — and a moderate progression starting from a very elementary beginning. A consistent part of the exposition is organised in the form of exercises, with suitable hints and solutions.It can be used as a textbook for a semester course or self-study, and a guidebook for further study.

Elements of Topology

Author : Tej Bahadur Singh
Publisher : CRC Press
ISBN 13 : 1439871957
Total Pages : 554 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Elements of Topology by : Tej Bahadur Singh

Download or read book Elements of Topology written by Tej Bahadur Singh and published by CRC Press. This book was released on 2013-05-20 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology is a large subject with many branches broadly categorized as algebraic topology, point-set topology, and geometric topology. Point-set topology is the main language for a broad variety of mathematical disciplines. Algebraic topology serves as a powerful tool for studying the problems in geometry and numerous other areas of mathematics. Elements of Topology provides a basic introduction to point-set topology and algebraic topology. It is intended for advanced undergraduate and beginning graduate students with working knowledge of analysis and algebra. Topics discussed include the theory of convergence, function spaces, topological transformation groups, fundamental groups, and covering spaces. The author makes the subject accessible by providing more than 250 worked examples and counterexamples with applications. The text also includes numerous end-of-section exercises to put the material into context.

New Scientific Applications of Geometry and Topology

Author : De Witt L. Sumners
Publisher : American Mathematical Soc.
ISBN 13 : 9780821855027
Total Pages : 266 pages
Book Rating : 4.8/5 (55 download)

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Book Synopsis New Scientific Applications of Geometry and Topology by : De Witt L. Sumners

Download or read book New Scientific Applications of Geometry and Topology written by De Witt L. Sumners and published by American Mathematical Soc.. This book was released on 1992 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry and topology are subjects generally considered to be "pure" mathematics. Recently, however, some of the methods and results in these two areas have found new utility in both wet-lab science (biology and chemistry) and theoretical physics. Conversely, science is influencing mathematics, from posing questions that call for the construction of mathematical models to exporting theoretical methods of attack on long-standing problems of mathematical interest. Based on an AMS Short Course held in January 1992, this book contains six introductory articles on these intriguing new connections. There are articles by a chemist and a biologist about mathematics, and four articles by mathematicians writing about science and mathematics involved. Because this book communicates the excitement and utility of mathematics research at an elementary level, it is an excellent textbook in an advanced undergraduate mathematics course.

Algebraic Models in Geometry

Author : Yves Félix
Publisher : OUP Oxford
ISBN 13 : 0191525693
Total Pages : 488 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Algebraic Models in Geometry by : Yves Félix

Download or read book Algebraic Models in Geometry written by Yves Félix and published by OUP Oxford. This book was released on 2008-03-13 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rational homotopy is a very powerful tool for differential topology and geometry. This text aims to provide graduates and researchers with the tools necessary for the use of rational homotopy in geometry. Algebraic Models in Geometry has been written for topologists who are drawn to geometrical problems amenable to topological methods and also for geometers who are faced with problems requiring topological approaches and thus need a simple and concrete introduction to rational homotopy. This is essentially a book of applications. Geodesics, curvature, embeddings of manifolds, blow-ups, complex and Kähler manifolds, symplectic geometry, torus actions, configurations and arrangements are all covered. The chapters related to these subjects act as an introduction to the topic, a survey, and a guide to the literature. But no matter what the particular subject is, the central theme of the book persists; namely, there is a beautiful connection between geometry and rational homotopy which both serves to solve geometric problems and spur the development of topological methods.

Combinatorial Algebraic Topology

Author : Dimitry Kozlov
Publisher : Springer Science & Business Media
ISBN 13 : 9783540730514
Total Pages : 416 pages
Book Rating : 4.7/5 (35 download)

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Book Synopsis Combinatorial Algebraic Topology by : Dimitry Kozlov

Download or read book Combinatorial Algebraic Topology written by Dimitry Kozlov and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first comprehensive treatment of combinatorial algebraic topology in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology. Readers - graduate students and working mathematicians alike - will probably find particularly useful the second part, which contains an in-depth discussion of the major research techniques of combinatorial algebraic topology. Although applications are sprinkled throughout the second part, they are principal focus of the third part, which is entirely devoted to developing the topological structure theory for graph homomorphisms.

Algebraic Topology

Author : George A. Duckett
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781533299994
Total Pages : 258 pages
Book Rating : 4.2/5 (999 download)

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Book Synopsis Algebraic Topology by : George A. Duckett

Download or read book Algebraic Topology written by George A. Duckett and published by Createspace Independent Publishing Platform. This book was released on 2016-05-18 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: If you have a question about Algebraic Topology this is the book with the answers. Algebraic Topology: Questions and Answers takes some of the best questions and answers asked on the mathoverflow.stackexchange.com website. You can use this book to look up commonly asked questions, browse questions on a particular topic, compare answers to common topics, check out the original source and much more. This book has been designed to be very easy to use, with many internal references set up that makes browsing in many different ways possible. Topics covered include: Homotopy Theory, Geometric Topology, Algebraic Geometry, Reference Request, Differential Geometry, Stable Homotopy, Category Theory, General Topology, Cohomology, K Theory Homology, Homology, Differential Topology, Vector Bundles, Group Theory, Homological Algebra, Characteristic Classes, Simplicial Stuff and many more."

Lecture Notes in Algebraic Topology

Author : James F. Davis
Publisher : American Mathematical Society
ISBN 13 : 1470473682
Total Pages : 385 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Lecture Notes in Algebraic Topology by : James F. Davis

Download or read book Lecture Notes in Algebraic Topology written by James F. Davis and published by American Mathematical Society. This book was released on 2023-05-22 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The amount of algebraic topology a graduate student specializing in topology must learn can be intimidating. Moreover, by their second year of graduate studies, students must make the transition from understanding simple proofs line-by-line to understanding the overall structure of proofs of difficult theorems. To help students make this transition, the material in this book is presented in an increasingly sophisticated manner. It is intended to bridge the gap between algebraic and geometric topology, both by providing the algebraic tools that a geometric topologist needs and by concentrating on those areas of algebraic topology that are geometrically motivated. Prerequisites for using this book include basic set-theoretic topology, the definition of CW-complexes, some knowledge of the fundamental group/covering space theory, and the construction of singular homology. Most of this material is briefly reviewed at the beginning of the book. The topics discussed by the authors include typical material for first- and second-year graduate courses. The core of the exposition consists of chapters on homotopy groups and on spectral sequences. There is also material that would interest students of geometric topology (homology with local coefficients and obstruction theory) and algebraic topology (spectra and generalized homology), as well as preparation for more advanced topics such as algebraic $K$-theory and the s-cobordism theorem. A unique feature of the book is the inclusion, at the end of each chapter, of several projects that require students to present proofs of substantial theorems and to write notes accompanying their explanations. Working on these projects allows students to grapple with the “big picture”, teaches them how to give mathematical lectures, and prepares them for participating in research seminars. The book is designed as a textbook for graduate students studying algebraic and geometric topology and homotopy theory. It will also be useful for students from other fields such as differential geometry, algebraic geometry, and homological algebra. The exposition in the text is clear; special cases are presented over complex general statements.

More Concise Algebraic Topology

Author : J. P. May
Publisher : University of Chicago Press
ISBN 13 : 0226511790
Total Pages : 544 pages
Book Rating : 4.2/5 (265 download)

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Book Synopsis More Concise Algebraic Topology by : J. P. May

Download or read book More Concise Algebraic Topology written by J. P. May and published by University of Chicago Press. This book was released on 2011-12-05 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. There are very few textbooks that treat fundamental topics beyond a first course, and many topics now essential to the field are not treated in any textbook. J. Peter May’s A Concise Course in Algebraic Topology addresses the standard first course material, such as fundamental groups, covering spaces, the basics of homotopy theory, and homology and cohomology. In this sequel, May and his coauthor, Kathleen Ponto, cover topics that are essential for algebraic topologists and others interested in algebraic topology, but that are not treated in standard texts. They focus on the localization and completion of topological spaces, model categories, and Hopf algebras. The first half of the book sets out the basic theory of localization and completion of nilpotent spaces, using the most elementary treatment the authors know of. It makes no use of simplicial techniques or model categories, and it provides full details of other necessary preliminaries. With these topics as motivation, most of the second half of the book sets out the theory of model categories, which is the central organizing framework for homotopical algebra in general. Examples from topology and homological algebra are treated in parallel. A short last part develops the basic theory of bialgebras and Hopf algebras.

Recent Progress in General Topology III

Author : K.P. Hart
Publisher : Springer Science & Business Media
ISBN 13 : 946239024X
Total Pages : 898 pages
Book Rating : 4.4/5 (623 download)

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Book Synopsis Recent Progress in General Topology III by : K.P. Hart

Download or read book Recent Progress in General Topology III written by K.P. Hart and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 898 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents surveys describing recent developments in most of the primary subfields of General Topology, and its applications to Algebra and Analysis during the last decade, following the previous editions (North Holland, 1992 and 2002). The book was prepared in connection with the Prague Topological Symposium, held in 2011. During the last 10 years the focus in General Topology changed and therefore the selection of topics differs from that chosen in 2002. The following areas experienced significant developments: Fractals, Coarse Geometry/Topology, Dimension Theory, Set Theoretic Topology and Dynamical Systems.

Bridging Algebra, Geometry, and Topology

Author : Denis Ibadula
Publisher :
ISBN 13 : 9783319091877
Total Pages : 304 pages
Book Rating : 4.0/5 (918 download)

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Book Synopsis Bridging Algebra, Geometry, and Topology by : Denis Ibadula

Download or read book Bridging Algebra, Geometry, and Topology written by Denis Ibadula and published by . This book was released on 2014-11-30 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Geometry of Approximation

Author : Piero Pagliani
Publisher : Springer Science & Business Media
ISBN 13 : 1402086229
Total Pages : 771 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis A Geometry of Approximation by : Piero Pagliani

Download or read book A Geometry of Approximation written by Piero Pagliani and published by Springer Science & Business Media. This book was released on 2008-10-09 with total page 771 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'A Geometry of Approximation' addresses Rough Set Theory, a field of interdisciplinary research first proposed by Zdzislaw Pawlak in 1982, and focuses mainly on its logic-algebraic interpretation. The theory is embedded in a broader perspective that includes logical and mathematical methodologies pertaining to the theory, as well as related epistemological issues. Any mathematical technique that is introduced in the book is preceded by logical and epistemological explanations. Intuitive justifications are also provided, insofar as possible, so that the general perspective is not lost. Such an approach endows the present treatise with a unique character. Due to this uniqueness in the treatment of the subject, the book will be useful to researchers, graduate and pre-graduate students from various disciplines, such as computer science, mathematics and philosophy. It features an impressive number of examples supported by about 40 tables and 230 figures. The comprehensive index of concepts turns the book into a sort of encyclopaedia for researchers from a number of fields. 'A Geometry of Approximation' links many areas of academic pursuit without losing track of its focal point, Rough Sets.