ENGLISH

Applied Differential Geometry

By William L. Burke

Book information

Publisher
Cambridge University Press
Year
1985
ISBN
113917178X, 0521269296, 0521263174, 9781139171786, 9780521269292, 9780521263177
Language
english
Format
PDF
Filesize
163 MB (171239303 bytes)
Edition
1
Pages
440\440
Library
archive.org
Time added
2025-04-28 03:31:58

Description

This Is A Self-contained Introductory Textbook On The Calculus Of Differential Forms And Modern Differential Geometry. The Intended Audience Is Physicists, So The Author Emphasises Applications And Geometrical Reasoning In Order To Give Results And Concepts A Precise But Intuitive Meaning Without Getting Bogged Down In Analysis. The Large Number Of Diagrams Helps Elucidate The Fundamental Ideas. Mathematical Topics Covered Include Differentiable Manifolds, Differential Forms And Twisted Forms, The Hodge Star Operator, Exterior Differential Systems And Symplectic Geometry. All Of The Mathematics Is Motivated And Illustrated By Useful Physical Examples. William L. Burke. Includes Index. Bibliography: P. 409-410. Preface -- Glossary of notation -- Introduction -- Tensors in linear spaces -- Manifolds -- Transformations -- The calculus of differential forms -- Applications of the exterior calculus -- Classical electrodynamics -- Dynamics of particles and fields -- Calculus on fiber bundles -- Gravitation -- Bibliography -- Index

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