Contemporary Mathematics 1986; 122 pp; softcover Volume: 54 ISBN10: 0821850598 ISBN13: 9780821850596 List Price: US$29 Member Price: US$23.20 Order Code: CONM/54
 This volume focuses on developments made in the past two decades in the field of differential analysis in infinite dimensional spaces. New techniques such as ultraproducts and ultrapowers have illuminated the relationship between the geometric properties of Banach spaces and the existence of differentiable functions on the spaces. The wide range of topics covered also includes gauge theories, polar subsets, approximation theory, group analysis of partial differential equations, inequalities, and actions on infinite groups. Addressed to both the expert and the advanced graduate student, the book requires a basic knowledge of functional analysis and differential topology. Table of Contents  M. S. Berger  The impact of gauge theories on nonlinear infinite dimensional analysis
 S. Dineen  Polar subsets in infinite dimensional spacessmall sets in large spaces
 M. P. Heble  Approximation of differentiable functions on a Hilbert space, II
 C. C. A. Sastri  Group analysis of some partial differential equations arising in applications
 M.H. Shih and K.K. Tan  Minimax inequalities and applications
 T. N. Subramanian  Slices for actions of infinite dimensional groups
 K. Sundaresan  Convex functions on Banach lattices
 K. Sundaresan and S. Swaminathan  Differential analysis and geometry of Banach spacesisomorphism theory
 J. H. M. Whitfield and V. Zizler  A survey of rough norms with applications
