Critical Point Theory in Global Analysis and Differential Topology
Marston Morse, Stewart S. Cairns,
1969 | pages: 401 | ISBN: 0125081502 | PDF | 11 mb

From its beginning critical point theory has been concerned with mutual relations between topology and geometric analysis, including differential geometry. Although it may have seemed to many to have been directed in its initial years toward applications of topology to analysis, one now sees that the road from topology to geometric analysis is a two-way street. Today the methods of critical point theory enter into the foundations of almost all studies of analysis or geometry in the large. Mathematicians are finding that the study of global analysis or differential topology requires a knowledge not only of he separatetechniques of analysis, differential geometry, topology, and algebra, but also a deeper understanding of how these fields can join forces.
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