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Product Identifiers

PublisherCambridge University Press

ISBN-100521298873

ISBN-139780521298872

eBay Product ID (ePID)924840

Product Key Features

Number of Pages264 Pages

Publication NameGeometrical Methods of Mathematical Physics

LanguageEnglish

Publication Year1980

SubjectGeometry / General, Physics / Mathematical & Computational

TypeTextbook

AuthorBernard Schutz

Subject AreaMathematics, Science

FormatTrade Paperback

Dimensions

Item Height0.7 in

Item Weight14.5 Oz

Item Length9.1 in

Item Width5.9 in

Additional Product Features

Intended AudienceCollege Audience

LCCN80-040211

Dewey Edition19

Reviews'Although there are a welter of books where similar material can be found, this book is the most lucid I have come across at this level of exposition. It is eminently suitable for a graduate course (indeed, the more academically able undergraduate should be about to cope with most of it), and the applications should suffice to persuade any physicist or applied mathematician of its importance ... Schutz's book is a triumph ...' The Times Higher Education Supplement, "...Schutz has such a mastery of tthe material that it soon becomes clear that one is in authoritative hands....this book is the most lucid I have come across at this level of exposition. It is eminently suitable for a graduate course (indeed, the more academically able undergraduates should be able to cope with most of it), and the applications should suffice to persuade any physicist or applied mathematician of its importance." Ray d'Inverno, Times Higher Education Supplement, 'Although there are a welter of books where similar material can be found, this book is the most lucid I have come across at this level of exposition. It is eminently suitable for a graduate course (indeed, the more academically able undergraduate should be about to cope with most of it), and the applications should suffice to persuade any physicist or applied mathematician of its importance ... Schutz's book is a triumph ...'The Times Higher Education Supplement, "...excellent. It would require a great deal of delving in the literature to produce equivalent treatments....a very useful introduction...." J. M. Stewart, Journal of Fluid Mechanics, 'Although there are a welter of books where similar material can be found, this book is the most lucid I have come across at this level of exposition. It is eminently suitable for a graduate course (indeed, the more academically able undergraduate should be about to cope with most of it), and the applications should suffice to persuade any physicist or applied mathematician of its importance â€¦ Schutz's book is a triumph â€¦' The Times Higher Education Supplement

IllustratedYes

Dewey Decimal516.3/6/002453

Table Of ContentPreface; 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.

SynopsisThe methods of modern differential geometry have become important in theoretical physics and have applications in relativity, 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 applications to theoretical physics., 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.

LC Classification NumberQC20.7.D52 S34