Geometrical methods of mathematical physics

Başlık:

Yazar:

Schutz, Bernard F.

ISBN:

9780521232715

9780521298872

Ek Yazar:

Schutz, Bernard F.

Yayım Bilgisi:

Cambridge ; New York : Cambridge University Press, 1999.

Fiziksel Tanım:

xii, 250 pages : illustrations ; 24 cm.

Contents:

1. Some basic mathematics -- 2. Differentiable manifolds and tensors -- 3. Lie derivatives and Lie groups -- 4. Differential forms -- 5. Applications in physics -- 6. Connections for Riemannian manifolds and gauge theories.

Konu Terimleri:

Geometri, Diferansiyel.

Matematiksel fizik.

Geometry, Differential.

Mathematical physics.

Mevcut:*

Library	Materyal Türü	Barkod	Yer Numarası	Durum
Searching... Pamukkale Merkez Kütüphanesi	Kitap	0094691	QC20.7 .D52 S3 1999	Searching... Unknown

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Özet

In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory. The advanced physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions.

Preface

1 Some basic mathematics

2 Differentiable manifolds and tensors

3 Lie derivatives and Lie groups

4 Differential forms

5 Applications in physics

6 Connections for Riemannian manifolds and gauge theories

Appendix

Notation

Index

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Table of Contents