Your cart

Your cart is empty

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

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...
Bahlabelelelani: Why Do They Sing…
Nompumelelo Zondi Paperback R195 R145 Discovery Miles 1 450
Angelcare Nappy Bin Refill - Single
R150 Discovery Miles 1 500
QDOS Optiguard Tempered Glass Screen…
R599 R188 Discovery Miles 1 880
Croxley Polythene Clear Transparent Book…
R9 Discovery Miles 90
Omron Blood Pressure Monitor M2 Eco
R504 R399 Discovery Miles 3 990
Predator: Hunting Grounds
R699 R652 Discovery Miles 6 520
Yu-Gi-Oh! Trading Card Game - Ignition…
R75 Discovery Miles 750
Springbok Tailgate 21L Cooler Bag
R399 R363 Discovery Miles 3 630
Big Pharma, Dirty Lies, Busy Bees And…
David Bristow Paperback R260 R190 Discovery Miles 1 900
Nuovo Kids Travel Snack and Play Table
R299 R139 Discovery Miles 1 390