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Wednesday, May 20, 2020 | History

4 edition of Geometrical and algebraic aspects of nonlinear field theory found in the catalog.

Geometrical and algebraic aspects of nonlinear field theory

proceedings of the meeting on geometrical and algebraic aspects of nonlinear field theory, Amalfi, Italy, May 23-28, 1988

by International Meeting on Geometrical and Algebraic Aspects of Nonlinear Field Theory (1988 Amalfi, Italy)

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Published by North-Holland, Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co. in Amsterdam, New York, New York, N.Y., U.S.A .
Written in English

    Subjects:
  • Quantum field theory -- Congresses.,
  • Nonlinear theories -- Congresses.,
  • Geometry, Differential -- Congresses.

  • Edition Notes

    Statementedited by S. De Filippo ... [et al.].
    SeriesNorth-Holland delta series
    ContributionsDe Filippo, S., Università degli studi di Salerno.
    Classifications
    LC ClassificationsQC174.45.A1 I578 1988
    The Physical Object
    Paginationx, 248 p. :
    Number of Pages248
    ID Numbers
    Open LibraryOL2185464M
    ISBN 100444873597
    LC Control Number89003414

      The main result of this synthesis is Secondary Calculus on diffieties, new geometrical objects which are analogs of algebraic varieties in the context of (nonlinear) PDE's. Secondary Calculus surprisingly reveals a deep cohomological nature of the general theory of PDE's and indicates new directions of its further progress. A diffiety is a geometrical object that properly formalizes the concept of the solution space of a given system of (nonlinear) PDEs, much as an algebraic variety does with respect to solutions of.

      This book is dedicated to fundamentals of a new theory, which is an analog of affine algebraic geometry for (nonlinear) partial differential equations. This theory grew up from the classical geometry of PDE's originated by S. Lie and his followers by incorporating some nonclassical ideas from the theory of integrable systems, the formal theory of PDE's in its modern cohomological form. This includes not only the traditional area of general relativity but also the theory of Yang-Mills fields, nonlinear sigma models and other types of nonlinear field systems that feature in modern quantum field volume is divided into four parts: (i) introduction to general topology; (ii) introductory coordinate-free differential.

      Commutative Algebra, Algebraic Geometry, Number theory, Field Theory, Galois Theory by Sudhir R. Ghorpade Fundamental Problems in Algorithmic Algebra by Chee Yap Braid groups and Galois theory by Author: Kevin de Asis. FIELD THEORY 3 About these notes The purpose of these notes is to give a treatment of the theory of elds. Some as-pects of eld theory are popular in algebra courses at the undergraduate or graduate levels, especially the theory of nite eld extensions and Galois theory. However, aFile Size: KB.


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Geometrical and algebraic aspects of nonlinear field theory by International Meeting on Geometrical and Algebraic Aspects of Nonlinear Field Theory (1988 Amalfi, Italy) Download PDF EPUB FB2

Geometrical and Algebraic Aspects of Nonlinear Field Theory A volume in North-Holland Delta Series. Book • (ordering of operators in quantum theory) The main emphasis is on the geometrical and algebraic methods used in solving a wide range of problems.

Purchase Geometrical and Algebraic Aspects of Nonlinear Field Theory - 1st Edition. Print Book & E-Book. ISBNBook Edition: 1. Get this from a library. Geometrical and Algebraic Aspects of Nonlinear Field Theory. [S De Filippo; M Marinaro; G Marmo; G Vilasi] -- Experts in general relativity, particle physics and mathematical physics discuss aspects of their recent research.

The main emphasis is on the geometrical and algebraic methods used in solving a wide. Get this from a library. Geometrical and algebraic aspects of nonlinear field theory: proceedings of the meeting on geometrical and algebraic aspects of nonlinear field theory, Amalfi, Italy, May[S De Filippo; Università degli studi di Salerno.;].

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Kyriakos is dedicated to a nonlinear generalization of the Standard Model theory - the contemporary theory of elementary particles and their interactions. The Standard Model is a very successful : Alexander G Kyriakos.

Geometrical and algebraic aspects of nonlinear field theory book This book discusses the deep connection between gravitation and the nonlinear sigma model coupled to gauge fields in a new perspective. Interesting developments emerge. Some other new aspects are provided such as the constant use of infinite dimensional differential geometry, a powerful tool not only for making the theory more rigorous but also.

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The best known fields are the field of rational numbers, the field of real. Geometric phases, recognized as a universal phenomenon 35 years ago by Michael Berry [1, 2], play a fundamental role in the interference of vector waves, especially monochromatic optical fields [3–8].They are therefore ubiquitous in several areas of modern optics including polarization manipulations [4, 9–11], singular optics [12–14], and the angular momentum (AM) of light [15–19].Cited by: 5.

Suitable for specialists as well as graduate students working in the field of quantum geometry and its applications; Includes a new chapter on the geometry of dilatonic non-linear sigma model and its subtle and many-faceted connection with Ricci flow theory; see more benefits.

Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical problems about these sets of zeros.

The fundamental objects of study in algebraic geometry are algebraic varieties, which are geometric manifestations of. In Quantum Field Theory, elementary particles come up as field quanta. Their quantum numbers, such as mass and helicity, are fixed by the corresponding free fields.

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Advances in this theory in the last twenty years have opened the possibility of File Size: KB. The book is a collection of solved problems in linear algebra, this fourth volume covers quadratic equations in two or three variables. All examples are solved, and the solutions usually consist of step-by-step instructions.

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