𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Simple proofs of various fixed point and existence theorems based on exterior calculus

✍ Scribed by J. Mawhin


Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
128 KB
Volume
278
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

Using an unpublished result of Tartar about some integrals depending upon a parameter, we give quite elementary proofs of various fixed point theorems and of the fundamental theorems of algebra for complex numbers and quaternions. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)