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This text introduces the methods of mathematical analysis as applied to manifolds, including the roles of differentiation and integration, infinite dimensions,

This text introduces the methods of mathematical analysis as applied to manifolds, including the roles of differentiation and integration, infinite dimensions,

A John Hope Franklin Center Book.

Global analysis has as its primary focus the interplay between the local analysis and the global geometry and topology of a manifold. This is seen classicallv i

This book presents a concise and sharpley focused introduction to the basic concepts of analysis - from the development of real numbers through uniform converge