Topics in critical point theory
by Schechter, Martin, Perera, Kanishka
fromCambridge tracts in mathematics
The book is based on my lecture notes "Infinite dimensional Morse theory and its applications", 1985, Montreal, and one semester of graduate lectures delivered at the University of Wisconsin, Madison, 1987. Since the aim of this monograph is to give a unified account of the topi…
"Chemical reactions at high pressures are widely used in modern technology (supercritical extraction is an example). On the other hand, critical phenomena is the more advanced field in statistical mechanics. There are thousands of theoretical and experimental articles published …
"Commencing with Gauss, mathematicians have contributed to the study in the plane of the complex variable of the geometric relations between the zeros of a polynomial and those of its derivative. More generally there have been studied the relations between the zeros and poles of…
Many problems in science and engineering involve the solution of differential equations or systems. One of most successful methods of solving nonlinear equations is the determination of critical points of corresponding functionals. The study of critical points has grown rapidly …
This text starts at the foundations of the field, and is accessible with some background in functional analysis. As such, the book is ideal for classroom of self study. The new material covered also makes this book a must read for researchers in the theory of critical points.