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Saturday, August 8, 2020 | History

1 edition of Topology, Geometry, and Gauge Fields found in the catalog.

Topology, Geometry, and Gauge Fields

Foundations

by Gregory L. Naber

  • 13 Want to read
  • 5 Currently reading

Published by Springer New York in New York, NY .
Written in English

    Subjects:
  • Geometry,
  • Mathematics,
  • Topology

  • About the Edition

    This is a book on topology and geometry and, like any books on subjects as vast as these, it has a point-of-view that guided 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 mathemtical models of these notions. We ask the reader to come to us with some vague notion of what an electromagnetic field might be, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, a solid background in real analysis and linear algebra and some of the vocabulary of modern algebra. To such a reader we offer 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.

    Edition Notes

    Statementby Gregory L. Naber
    SeriesTexts in Applied Mathematics -- 25, Texts in applied mathematics -- 25.
    Classifications
    LC ClassificationsQA611-614.97
    The Physical Object
    Format[electronic resource] :
    Pagination1 online resource (xviii, 396 p.)
    Number of Pages396
    ID Numbers
    Open LibraryOL27092369M
    ISBN 101475727445, 1475727429
    ISBN 109781475727449, 9781475727425
    OCLC/WorldCa851800549

    A study of topology and geometry, beginning with a comprehensible account of the extraordinary and rather mysterious impact of mathematical physics, and especially gauge theory, on the study of the geometry and topology of manifolds. The focus of the book is the Yang-Mills-Higgs field and some considerable effort is expended to make clear its origin and significance in physics. Much of the. Buy Topology, Geometry and Gauge Fields: Foundations by Greg Naber, Gregory L Naber online at Alibris. We have new and used copies available, in 1 editions - starting at $ Shop now.

    Preface In Egypt, geometry was created to measure the land. Similar motivations, on a somewhat larger scale, led Gauss to the intrinsic differential geometry of surfaces in space. Newton created the calculus to study the motion of physical objects (apples, planets, etc.) and Poincare was similarly impelled toward his deep and far-reaching. Bleecker, Gauge theory and variational principles (). The whole book is an explanation of the application of fibre bundles to gauge theory. Very mathematical. Nash/Sen, Topology and geometry for physicists () pages – Some serious Yang-Mills .

    The item Topology, geometry, and gauge fields: interactions, Gregory L. Naber represents a specific, individual, material embodiment of a distinct intellectual or . Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields. Home Ebooks Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields. The book is devoted to the study of the geometrical and topological structure of gauge theories. It consists of the following three.


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Topology, Geometry, and Gauge Fields by Gregory L. Naber Download PDF EPUB FB2

Feb 17,  · Topology, Geometry and Gauge fields: Foundations (Texts in Applied Mathematics Book 25) - Kindle edition by Gregory L. Naber. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Topology, Geometry and Gauge fields: Foundations (Texts in Applied Mathematics Book 25).4/5(8).

Feb 17,  · “The focus of the book under review is the interaction between topology, geometry and gauge fields. The book thus serves as both a solid and an enticing introduction to the mathematics required for the geometric formulation of gauge simplicityhsd.com by: “The focus of the book under review is the interaction between topology, geometry and gauge fields.

The book thus serves as both a solid and an enticing introduction to the mathematics required for the geometric formulation of gauge simplicityhsd.com: Springer-Verlag New York. This is a book on topology and geometry and, like any books on subjects as vast as these, it has a point-of-view that guided 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 Geometry and that this is Topology, Geometry and Gauge fields Brand: Springer-Verlag New York. This volume is intended to carry on the program, initiated in Topology, Geometry, and Gauge Fields: Foundations (Springer, ), of exploring the interrelations between particle physics and topology that arise from their shared notion of a gauge field.

Topology, Geometry and Gauge Fields book. Read reviews from world’s largest community for readers. This text is based upon the author's view that the rek /5. This second edition of the book includes a new chapter on singular homology theory and a new appendix outlining Donaldson’s beautiful application of gauge theory to the topology of compact, simply connected, smooth 4-manifolds with definite intersection form.

Topology, Geometry and Gauge fields: Foundations Gregory L. Naber. This is a book on topology and geometry, and like any book on subjects as vast as these, it has a point of view that guided the selection of topics. The author’s point of view is that the rekindled interest that mathematics and physics have shown in each other of late should.

Get this from a library. Topology, geometry, and gauge fields: interactions. [Gregory L Naber] -- This volume is intended to carry on the program, initiated in Topology, Geometry, and Gauge Fields: Foundations (Springer, ), of exploring the interrelations between particle physics and topology.

Get this from a library. Topology, geometry, and gauge fields: foundations. [Gregory L Naber] -- This is a book on topology and geometry, and like any book on subjects as vast as these, it has a point of view that guided the selection of topics.

The author's point of view is that the rekindled. Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas sical techniques of applied mathematics.

This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). Apr 17,  · Topology, Geometry, and Gauge Fields: Foundations - Ebook written by Gregory L. Naber. Read this book using Google Play Books app on your PC, android, iOS devices.

Download for offline reading, highlight, bookmark or take notes while you read Topology, Geometry, and Gauge Fields: Author: Gregory L. Naber. Buy Topology, Geometry and Gauge fields: Foundations (Texts in Applied Mathematics) 2 by Gregory L. Naber (ISBN: ) from Amazon's Book Store.

4/5(8). Let me be clear -- this review is about Topology, Geometry and Gauge fields: Interactions (Applied Mathematical Sciences).This concerns the second edition of the book. Consider it a "meta-review", since others have nicely described the niche that Naber is so expertly filling.3/5(1).

Topology, Geometry and Gauge fields: Interactions: Gregory L. Naber: Books - simplicityhsd.com3/5(1). Oct 01,  · Topology, Geometry and Gauge fields by Gregory L. Naber,available at Book Depository with free delivery worldwide/5(3). “The focus of the book under review is the interaction between topology, geometry and gauge fields.

The book thus serves as both a solid and an enticing introduction to the mathematics required for the geometric formulation of gauge theory.4/5(8). Let me be clear -- this review is about Topology, Geometry and Gauge fields: Interactions (Applied Mathematical Sciences).This concerns the second edition of the book.

Consider it a "meta-review", since others have nicely described the niche that Naber is so expertly filling.4/5(8). Sep 24,  · Read "Topology, Geometry and Gauge fields Foundations" by Gregory L.

Naber available from Rakuten Kobo. 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. Nab Brand: Springer New York. A study of topology and geometry, beginning with a comprehensible account of the extraordinary and rather mysterious impact of mathematical physics, and especially gauge theory, on the study of the geometry and topology of manifolds.

The focus of the book is the Yang-Mills-Higgs field and some Author: Gregory L. Naber. Find many great new & used options and get the best deals for Applied Mathematical Sciences: Topology, Geometry and Gauge Fields: Interactions by Gregory L. Naber (, Hardcover) at the best online prices at eBay!

Free shipping for many products!This book is Russian, and the style of Russian textbooks is very physical and interesting for physics students, in my opinion. Furthermore, the book does not focus on either differential geometry or topology, but covers both (briefly), which is also good for physics students.

Naber - Topology, Geometry and Gauge Fields (two volumes).This book covers topology and geometry beginning with an accessible account of the extraordinary and rather mysterious impact of mathematical physics, especially gauge theory, on the study of the geometry and topology of manifolds.

Much of the mathematics developed in the book to study the classical field theories of physics (de Rham cohomology, Chern classes, Semi-Riemannian manifolds, Cech.