ENGLISH

Global Calculus

By S. Ramanan

Book information

Publisher
AMS
Year
2004
ISBN
9780821837023, 0821837028
LCC
QA564 .R34 2004
Open Library ID
OL19210692M
Language
english
Format
PDF
Filesize
10 MB (10710396 bytes)
Series
Gradiate studies in mathematics 65
Pages
330\330
Scanned
no
Time added
2010-10-13 10:14:08

Description

The power that analysis, topology and algebra bring to geometry has revolutionized the way geometers and physicists look at conceptual problems. Some of the key ingredients in this interplay are sheaves, cohomology, Lie groups, connections and differential operators. In Global Calculus, the appropriate formalism for these topics is laid out with numerous examples and applications by one of the experts in differential and algebraic geometry. Ramanan has chosen an uncommon but natural path through the subject. In this almost completely self-contained account, these topics are developed from scratch. The basics of Fourier transforms, Sobolev theory and interior regularity are proved at the same time as symbol calculus, culminating in beautiful results in global analysis, real and complex. Many new perspectives on traditional and modern questions of differential analysis and geometry are the hallmarks of the book. The book is suitable for a first year graduate course on global analysis.

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