The first of two volumes that comprehensively treat partial differential equations, this revised second edition focuses on geometric and complex variable methods involving integral representations. Topics such as Brouwer’s mapping degree are treated in detail.
From the reviews of the second edition:
“The revised and enlarged version of this volume gives a special emphasis to geometric and complex variable methods involving integral representations. The new second edition of this volume has been thoroughly revised and a new section on the boundary behavior of Cauchy’s integral has been added. ... This unique book will become a standard reference and it should be found in every mathematical library.” (Vicenţiu D. Rădulescu, Zentralblatt MATH, Vol. 1246, 2012)