The new edition contains modifications and additions which take into account recent developments in the field. From the reviews of earlier editions: "The book is clearly written and lucidly structured. In particular, the used notations are thoroughly defined, the diverse ideas are well explained, and the results are beautifully motivated." (ZOR. Methods and Models of Operations Research). This book develops a systematic and unifying approach to the most important classes of constrained global optimization and their solution techniques. The main problem classes treated are concave minimization, reverse convex and d. c. programming, Lipschitz and continuous optimization, and systems of equations and inequalities.