Paperback. This two-volume introduction to differential geometry, part of Wiley's popular Classics Library, lays the foundation for understanding an area of study that has become vital to contemporary mathematics. It is completely self-contained and will serve as a reference as well as a teaching guide. Volume 1 presents a systematic introduction to the field from a brief survey of differentiable manifolds, Lie groups and fibre bundles to the extension of local transformations and Riemannian connections. The second volume continues with the study of variational problems on geodesics through differential geometric aspects of characteristic classes. Both volumes familiarize readers with basic computational techniques. One of two volumes which lay the foundations for understanding differential geometry. This work familiarizes readers with various techniques of computation. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verk�ufers 9780471157328

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Titel: Foundations of Differential Geometry, Volume...

Verlag: John Wiley & Sons Inc, New York

Erscheinungsdatum: 1996

Einband: Paperback

Zustand: new

Auflage: 1. Auflage

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THIS TWO–VOLUME INTRODUCTION TO DIFFERENTIAL GEOMETRY, PART OF WILEY'S POPULAR CLASSICS LIBRARY, LAYS THE FOUNDATION FOR UNDERSTANDING AN AREA OF STUDY THAT HAS BECOME VITAL TO CONTEMPORARY MATHEMATICS. IT IS COMPLETELY SELF–CONTAINED AND WILL SERVE AS A REFERENCE AS WELL AS A TEACHING GUIDE. VOLUME 1 PRESENTS A SYSTEMATIC INTRODUCTION TO THE FIELD FROM A BRIEF SURVEY OF DIFFERENTIABLE MANIFOLDS, LIE GROUPS AND FIBRE BUNDLES TO THE EXTENSION OF LOCAL TRANSFORMATIONS AND RIEMANNIAN CONNECTIONS. THE SECOND VOLUME CONTINUES WITH THE STUDY OF VARIATIONAL PROBLEMS ON GEODESICS THROUGH DIFFERENTIAL GEOMETRIC ASPECTS OF CHARACTERISTIC CLASSES. BOTH VOLUMES FAMILIARIZE READERS WITH BASIC COMPUTATIONAL TECHNIQUES.

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This two-volume introduction to differential geometry, part of Wiley's popular Classics Library, lays the foundation for understanding an area of study that has become vital to contemporary mathematics. It is completely self-contained and will serve as a reference as well as a teaching guide. Volume 1 presents a systematic introduction to the field from a brief survey of differentiable manifolds, Lie groups and fibre bundles to the extension of local transformations and Riemannian connections. The second volume continues with the study of variational problems on geodesics through differential geometric aspects of characteristic classes. Both volumes familiarize readers with basic computational techniques.

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