Download E-books Global Calculus (Graduate Studies in Mathematics) PDF

By S. Ramanan

Research, topology and algebra introduced new strength to geometry, revolutionizing the best way geometers and physicists examine conceptual difficulties. a number of the key constituents during this interaction are sheaves, cohomology, Lie teams, connections and differential operators. In ""Global Calculus"", the best formalism for those themes is laid out with various examples and functions by way of one of many specialists in differential and algebraic geometry. Ramanan has selected an unusual yet normal direction throughout the topic. during this virtually thoroughly self-contained account, those themes are constructed from scratch. the fundamentals of Fourier transforms, Sobolev thought and inside regularity are proved even as image calculus, culminating in appealing leads to worldwide research, actual and complicated. Many new views on conventional and glossy questions of differential research and geometry are the hallmarks of the ebook. The booklet is appropriate for a primary 12 months graduate direction on international research.

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