E-Book Overview
This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds was first published in 1982. It was intended be a synthesis of those topics and a broad introduction to the field. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a further knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts were designed to provide an introduction to the more advanced works in the subject.
E-Book Content
LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES Managing Editor: Professor I.M.James, Mathematical Institute, 24 ... 29 St Giles, Oxford 1. General cohomology theory and K-theory, P. HILTON 4. Algebraic topology: 5. Commutative algebra, J.T.KNIGHT a student's guide, J.F.ADAMS 8. Integration and harmonic analysis on compact groups, R.E.EDWARDS 9. Elliptic functions and elliptic curves, P.DU VAL 10. Numerical ranges II, F.F.BONSALL 11. New developments in topology, G. SEGAL (ed.) & J.DUNCAN 12. Symposium on complex analvsis, Canterbury, 1973, 13. Combinator ics: T.P.McDONOUGH 14. ~1.CLUNIE & W.K.HAYMAN (eds.) Proceedings of the Br i tish combinator ial conference 1973, & V.C.MAVRON (eds.) Analytic theory of abelian varieties, H.P.F.SWINNERTON-DYER 15. An introduction to topological groups, P.J.HIGGINS 16. Topics in f ini te groups, T .M.GAGEN 17. 18. Differentiable germs and catastrophes, Th.BROCKER & L.LANDER A geometric approach to homology theory, S.BUONCRISTIANO, C.P.ROURKE 20. Sheaf theory, B. R. TENNISON 21. Automatic continuity of linear operators, A.M.SINCLAIR 23. Parallelisms of complete designs, P.J.CAMERON 24. The topology of Stiefel manifolds, I.M.JAMES 25. Lie groups and compact groups, J.F.PRICE 26. Transformation groups: & B.J.SANDERSON Proceedings of the conference in the University of Newcastle upon 'J'yne, August 1976, C. KOSNIOWSKI 27. Skew field constructions, P.M.COHN 28. Brownian motion, Hardy spaces and bounded mean oscillation, K.E.PETERSEN 29. Pontryagin duality and the structure of locally compact abelian groups, S.A.MORRIS 30. Interaction models, N.L.BIGGS 31,' Continuous crossed products and type III von Neumann algebras, A. VAN DAELE 32. Uniform algebras and Jensen measures, T.W.GAMELIN 33. 34. Permutation groups and combinate-rial structures, N.L.BIGGS Representation theory of Lie groups, M.F.ATIYAH et a1. 35. Trace ideals and their applications, B.SIMON & A.T.WHITE 36. Homological group theory, C.T.C.WALL (ed.) 37. Partially ordered rings and semi-algebraic geometry, G.W.BRUMFIEL 38. Surveys in combinatorics, B.BOLLOBAS (ed.) 39. Affine sets and affine groups, D.G.NORTHCOTT 40. 41. Introduction to Hp spaces, P.J.KOOSIS Theory and applications of Hopf bifurcation, B.D.HASSARD, N.D.KAZARINOFF 42. Topics in the theory of group presentations, D.L.JOHNSON 43. Gr aphs, codes and des igns, P. J •CAMERON 44. Z/2-homotopy theory, M.C.CRABB &