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Nonlinear and global analysis. (English) Zbl 0766.58002

Reprints from the Bulletin of the American Mathematical Society 1. Providence, RI: American Mathematical Society (ISBN 0-8218-8500-6/pbk). ix, 625 p. (1992).
This volume consists of a number of research-expositary articles in the area of functional and global analysis and their applications. These articles appeared between 1979-1984 and were reviewed within the serial “Bull. Am. Math. Soc., New Ser.”
Contents: General Theory: R. Bott, Lectures on Morse Theory, old and new, 3; Bull. Am. Math. Soc., New Ser. 7, 331-358 (1982; Zbl 0505.58001), F. E. Browder, Fixed point theory and nonlinear problems, 31; ibid. 9, 1-39 (1983; Zbl 0533.47053), I. Ekeland, Nonconvex minimization problems, 71, ibid. 1, 443-474 (1979; Zbl 0441.49011), L. Nirenberg, Variational and topological methods in nonlinear problems, 103; ibid. 4, 267-302 (1981; Zbl 0468.47040), R. S. Hamilton, The inverse function theorem of Nash and Moser, 139: ibid. 7, 65-222 (1982; Zbl 0499.58003);
Applications: S. S. Antman, The influence of elasticity on analysis: modern developments, 299; ibid. 9, 267-291 (1983; Zbl 0533.73001), H. Brezis, Periodic solutions of nonlinear vibrating strings and duality principles, 325; ibid. 8, 409-426 (1983; Zbl 0515.35060), D. H. Sattinger, Bifurcation and symmetry breaking in applied mathematics, 343; ibid. 3, 779-819 (1980; Zbl 0448.35011), J. W. Helton, Non-Euclidean functional analysis and electronics, 385; ibid. 7, 1-64 (1982; Zbl 0493.46047);
Dynamical Systems: M. W. Hirsch, The dynamical systems approach to differential equations, 451; ibid. 11, 1-64 (1984; Zbl 0541.34026), S. Smale, The fundamental theorem of algebra and complexity theory, 515; ibid. 4, 1-36 (1981; Zbl 0456.12012), P. Blanchard, Complex analytic dynamics on the Riemann sphere, 551; ibid. 11, 85-141 (1984; Zbl 0558.58017), D. Sullivan, Discrete conformal groups and measurable dynamics, 609; ibid. 6, 57-73 (1982; Zbl 0489.58027).

MSC:

58-06 Proceedings, conferences, collections, etc. pertaining to global analysis
00B60 Collections of reprinted articles
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