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Geometrical Methods of Mathematical Physics
 
 

Geometrical Methods of Mathematical Physics (Paperback)

by Bernard F. Schutz (Author) "This chapter reviews the elementary mathematics upon which the geometrical development of later chapters relies ..." (more)
4.5 out of 5 stars  See all reviews (2 customer reviews)
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Product details

  • Paperback: 264 pages
  • Publisher: Cambridge University Press (6 Nov 1980)
  • Language English
  • ISBN-10: 0521298873
  • ISBN-13: 978-0521298872
  • Product Dimensions: 22.6 x 15.2 x 1.8 cm
  • Average Customer Review: 4.5 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon.co.uk Sales Rank: 136,181 in Books (See Bestsellers in Books)

    Popular in these categories:

    #9 in  Books > Science & Nature > Mathematics > Geometry & Topology > Differential & Riemannian Geometry
    #62 in  Books > Science & Nature > Physics > Mathematical
  • See Complete Table of Contents

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Product Description

Review

‘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


Product Description

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.

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This chapter reviews the elementary mathematics upon which the geometrical development of later chapters relies. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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What Do Customers Ultimately Buy After Viewing This Item?

Geometrical Methods of Mathematical Physics
72% buy the item featured on this page:
Geometrical Methods of Mathematical Physics 4.5 out of 5 stars (2)
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Schaum's Outline of Tensor Calculus (Schaum's Outline Series)
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Schaum's Outline of Tensor Calculus (Schaum's Outline Series) 5.0 out of 5 stars (3)
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Customer Reviews

2 Reviews
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Average Customer Review
4.5 out of 5 stars (2 customer reviews)
 
 
 
 
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15 of 15 people found the following review helpful:
5.0 out of 5 stars excellent, 13 Nov 1999
By M. de Innocentis "Marco" (London) - See all my reviews
(REAL NAME)   
This book provides a unique introduction to differential geometry and its applications. The only prerequisites are a general knowledge of algebra and calculus. Applications in areas such as mechanics, thermodynamics, electromagnetism and especially general relativity are explained in detail. An almost essential book for the advanced undergraduate or beginning graduate student of theoretical or mathematical physics.
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8 of 10 people found the following review helpful:
4.0 out of 5 stars A comprehensive intro to Differential Geometry, 1 Mar 2001
By A Customer
It is a bit informal exposition in comparison with other more mathematical rigorous titles. Definitions of difficult concepts like tensors or manifolds are very accessible and the same to differential forms. It is suitable for any first course in modern geometry applied to physics, above all in relativity theory. As a suggest I think the Riemannian geometry chapter should be increased.
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