From the reviews of the first edition: ...This book is an abridged version of the book Convex Analysis and Minimization Algorithms (shortly CAMA) written in two volumes by the same authors... . The authors have extracted from CAMA Chapters III-VI and X, containing the fundamentals of convex analysis, deleting material seemed too advanced ... Read morefor an introduction, or too closely attached to numerical algorithms. Each Chapter is presented as a lesson treating a given subject in its entirety, completed by numerous examples and figures. So, this new version becomes a good book for learning and teaching of convex analysis in finite dimensions.... S. Mititelu in Zentralblatt fur Mathematik und ihre Grenzgebiete , 2002 I believe that the book under review will become the standard text doing much to implement the type of course Victor Klee was advocating and covering as it does the considerable recent development of the subject. ... If you are looking for a well-designed text for a course on convex analysis, preliminary to one on optimization or nonlinear analysis then this is the one which will certainly be a standard for many years. (John Giles, The Australian Mathematical Society Gazette, Vol. 29 (2), 2002) Show Less