Rudolph A. Lorentz's Books

Multivariate Birkhoff Interpolation

By: Rudolph A. Lorentz

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Multivariate Birkhoff Interpolation

By: Rudolph A. Lorentz

The subject of this book is Lagrange, Hermite and Birkhoff (lacunary Hermite) interpolation by multivariate algebraic polynomials. It unifies and extends a new algorithmic approach to this subject which was introduced and developed by G.G. Lorentz and the author. One particularly interesting feature of this algorithmic approach is that it obviates the necessity of finding a formula for the Vandermonde determinant of a multivariate interpolation in order to determine its regularity (which formulas are practically unknown anyways) by determining the regularity through simple geometric manipulations in the Euclidean space. Although interpolation is a classical problem, it is surprising how little is known about its basic properties in the multivariate case. The book therefore starts by exploring its fundamental properties and its limitations. The main part of the book is devoted to a complete and detailed elaboration of the new technique. A chapter with an extensive selection of finite elements follows as well as a chapter with formulas for Vandermonde determinants. Finally, the technique is applied to non-standard interpolations. The book is principally oriented to specialists in the field. However, since all the proofs are presented in full detail and since examples are profuse, a wider audience with a basic knowledge of analysis and linear algebra will draw profit from it. Indeed, the fundamental nature of multivariate nature of multivariate interpolation is reflected by the fact that readers coming from the disparate fields of algebraic geometry (singularities of surfaces), of finite elements and of CAGD will also all find useful information here.

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Page Count

200

Publisher

Springer

Published Date

ISBN 10

3540473009

ISBN 13

9783540473008

Correlations and Fluctuations

Proceedings of the 7th International Workshop on Multiparticle Production : Nijmegen, the Netherlands, June 30-July 6, 1996

By: Rudolph C. Hwa

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Correlations and Fluctuations

Proceedings of the 7th International Workshop on Multiparticle Production : Nijmegen, the Netherlands, June 30-July 6, 1996

By: Rudolph C. Hwa

This volume presents the experimental and theoretical methods of studying soft interaction physics in high energy collisions. The topics include: dynamical and Bose-Einstein correlations, multiplicity fluctuation, soft photons, disoriented chiral condensate, self-similarity and self-affine behaviors, wavelet analysis, intermittency, chaos, and phase transition."--Publisher's website.

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Page Count

434

Publisher

World Scientific

Published Date

ISBN 10

9814530433

ISBN 13

9789814530439

Quark-gluon Plasma 4

By: Rudolph C. Hwa,Xin-Nian Wang

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Quark-gluon Plasma 4

By: Rudolph C. Hwa,Xin-Nian Wang

This is a review volume containing articles written by experts on current theoretical topics in the subject of Quark-Gluon Plasma created in heavy-ion collisions at high energy. It is the fourth volume in the series with the same title sequenced numerically. The articles are written in a pedagogical style so that they can be helpful to a wide range of researchers from graduate students to mature physicists who have not worked previously on the subject. A reader should be able to learn from the reviews without having extensive knowledge of the background literature.

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Page Count

450

Publisher

World Scientific

Published Date

ISBN 10

9814293288

ISBN 13

9789814293280

Differential Geometry and Mathematical Physics

Part I. Manifolds, Lie Groups and Hamiltonian Systems

By: Gerd Rudolph,Matthias Schmidt

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Differential Geometry and Mathematical Physics

Part I. Manifolds, Lie Groups and Hamiltonian Systems

By: Gerd Rudolph,Matthias Schmidt

Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential forms, • Lie groups and Lie group actions, • Linear symplectic algebra and symplectic geometry, • Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact.

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Page Count

766

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9400753454

ISBN 13

9789400753457

Quark--Gluon Plasma 3

By: Rudolph C. Hwa,Xin-Nian Wan

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Quark--Gluon Plasma 3

By: Rudolph C. Hwa,Xin-Nian Wan

Annotation. Text reviews the major topics in Quark-Gluon Plasma, including: the QCD phase diagram, the transition temperature, equation of state, heavy quark free energies, and thermal modifications of hadron properties. Includes index, references, and appendix. For researchers and practitioners.

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Page Count

786

Publisher

World Scientific

Published Date

ISBN 10

9812380779

ISBN 13

9789812380777

Book's by Rudolph A. Lorentz

Multivariate Birkhoff Interpolation

Multivariate Birkhoff Interpolation

Correlations and Fluctuations

Correlations and Fluctuations

Quark-gluon Plasma 4

Quark-gluon Plasma 4

Differential Geometry and Mathematical Physics

Differential Geometry and Mathematical Physics

Quark--Gluon Plasma 3

Quark--Gluon Plasma 3

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