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Book Review
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Book Information
Author(s):
N. G. Lloyd
Title:
Degree theory
Additional book information:
Cambridge Tracts in Math., vol. 73, Cambridge Univ. Press, Cambridge, Great Britain, 1978, x + 172 pp., $21.00
References:
- 1.
- H. Amann and S. Weiss, On the uniqueness of the topological degree, Math. Z. 130 (1973), 39-54. MR 346601
- 2.
- F. E. Browder, Nonlinear operators and nonlinear equations of evolution in Banach spaces, Proc. Sympos. Pure Math., vol. 18, part 2, Amer. Math. Soc. Providence, R. I., 1976. MR 405188
- 3.
- J. Cronin, Analytic functional mappings, Ann. of Math. (2) 58 (1953), 175-181. MR 57464
- 4.
- J. Cronin, Fixed points and topological degree in nonlinear analysis, Math. Surveys, no. 11, Amer. Math. Soc., Providence, R. I., 1964. MR 164101
- 5.
- G. Eisenack and C. Fenske, Fixpunkttheorie, Bibliographisches Institut, Zürich, 1978. MR 516947
- 6.
- L. Führer, Theorie des Abbildungsgrades in endlich-dimensionalen Räumen, Dissertation, Freie Univ., Berlin, 1971.
- 7.
- J. Hadamard, Sur quelques applications de l'indice de Kronecker, Introduction à la Théorie des Fonctions d'une Variable, vol. 2, by J. Tannery (Hermann, Paris, 1910).
- 8.
- E. Heinz, An elementary analytic theory of the degree of mappings in n-dimensional spaces, J. Math. Mech. Anal. 8 (1959), 231-247. MR 102580
- 9.
- C. Isnard, The topological degree on Banach manifolds, Global Analysis and its Applications, vol. II, pp. 291-313 (Vienna: International Atomic Energy Agency, 1974). MR 436193
- 10.
- L. Kronecker, Über die Charakteristik von Functionen-Systemen, Monatsber, Kgl. Preuss, Akad. Wiss. 1878, 145-152.
- 11.
- J. Leray and J. Schauder, Topologie et équations fonctionnelles, Ann. Sci. École Norm. Sup. (3) 51 (1934), 45-78. MR 1509338
- 12.
- N. G. Lloyd, On analytic differential equations, Proc. London Math. Soc. 30 (1975), 430-444. MR 385243
- 13.
- R. D. Nussbaum, On the uniqueness of the topological degree for k-set-contractions, Math. Z. 137 (1974), 1-6. MR 361951
- 14.
- R. D. Nussbaum, Generalizing the fixed point index, Math. Ann. 228 (1977), 259-278. MR 440587
- 15.
- P. H. Rabinowitz, A note on topological degree for holomorphic maps, Israel J. Math. 16 (1973), 46-52. MR 346183
- 16.
- J. T. Schwartz, Compact analytic mappings of B-spaces and a theorem of Jane Cronin, Comm. Pure Appl. Math. 16 (1963), 253-260. MR 163178
- 17.
- J. T. Schwartz, Nonlinear functional analysis, Gordon and Breach, New York, 1969. MR 433481
- 18.
- J. R. L. Webb, Remarks on k-set-contractions, Boll. Un. Mat. Ital. 4 (1971), 614-629. MR 293467
- 19.
- G. T. Whyburn, Topological analysis, Princeton Univ. Press, Princeton, N. J., 1958.
Additional Information:
Reviewer(s):
Roger D.
Nussbaum
Review Information:
Journal:
Bull. Amer. Math. Soc.
1
(1979),
632-636.
DOI:
10.1090/S0273-0979-1979-14644-5
PII:
S 0273-0979(1979)14644-5
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