0
Your cart

Your cart is empty

Browse All departments
  • All departments
Price
  • R1,000 - R2,500 (1)
  • -
Status
Brand

Showing 1 - 1 of 1 matches in All departments

Complex Analysis - A Functional Analysis Approach (Paperback, Softcover reprint of the original 1st ed. 1984): D.H. Luecking,... Complex Analysis - A Functional Analysis Approach (Paperback, Softcover reprint of the original 1st ed. 1984)
D.H. Luecking, L.A. Rubel
R1,801 Discovery Miles 18 010 Ships in 7 - 11 working days

The main idea of this book is to present a good portion of the standard material on functions of a complex variable, as well as some new material, from the point of view of functional analysis. The main object of study is the algebra H(G) of all holomorphic functions on the open set G, with the topology on H(G) of uniform convergence on compact subsets of G. From this point of vie, the main theorem of the theory is Theorem 9.5, which concretely identifies the dual of H(G) with the space of germs of holomorphic functions on the complement of G. From this result, for example, Runge's approximation theorem and the global Cauchy integral theorem follow in a few short steps. Other consequences of this duality theorem are the Germay interpolation theorem and the Mittag-Leffler Theorem. The approach via duality is entirely consistent with Cauchy's approach to complex variables, since curvilinear integrals are typical examples of linear functionals. The prerequisite for the book is a one-semester course in com plex variables at the undergraduate-graduate level, so that the elements of the local theory are supposed known. In particular, the Cauchy Theorem for the square and the circle are assumed, but not the global Cauchy Theorem in any of its forms. The second author has three times taught a graduate course based on this material at the University of Illinois, with good results."

Free Delivery
Pinterest Twitter Facebook Google+
You may like...
Loot
Nadine Gordimer Paperback  (2)
R336 R269 Discovery Miles 2 690
Bosch Sensixx Secure Steam Iron (2400W…
R999 R519 Discovery Miles 5 190
Loot
Nadine Gordimer Paperback  (2)
R336 R269 Discovery Miles 2 690
Bantex PP Economy Folder (A4)(Orange)
R6 Discovery Miles 60
Last Christmas
Emilia Clarke, Henry Golding, … DVD  (1)
R160 R30 Discovery Miles 300
The Founder
Michael Keaton, Linda Cardellini, … Blu-ray disc R167 Discovery Miles 1 670
Swiss Miele Vacuum Bags
R159 R141 Discovery Miles 1 410
Casio LW-200-7AV Watch with 10-Year…
R899 R765 Discovery Miles 7 650
Oxford South African School Dictionary…
Paperback  (2)
R204 Discovery Miles 2 040
Loot
Nadine Gordimer Paperback  (2)
R336 R269 Discovery Miles 2 690

 

Partners