9780821837023: Global Calculus
Couverture rigide
ISBN 10 : 0821837028 ISBN 13 : 9780821837023
Editeur : American Mathematical Society, 2004

Synopsis

Analysis, topology and algebra brought new power to geometry, revolutionizing 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2004
Langue
anglais
ISBN 10 
0821837028
ISBN 13 
9780821837023
Reliure
Relié
Nombre de pages
316
Coordonnées du fabricant
non disponible
Personne responsable
non disponible