This book is addressed to 3rd year high school students, but also to fellow Mathematicians (since it includes a large collection of exercises). It contains the Vector Calculus material provided by the new syllabus (1992-1993) for this class. The theory and exercises are arranged in five chapters. At the end of the 5th chapter there are about 100 general solved exercises. All exercises have been marked according to their difficulty with two, three or four asterisks. Exercises without an asterisk are considered simple.

Emphasis is placed on exercises unknown in the Greek literature and on subjects of various exams and competitions (French Baccalaureate , exams of the Universities of Cambridge , London , Oxford , Moscow , Bucharest , etc., G. Putnam competition, Olympiad competitions, E.M.E. competitions etc. ) .

An effort was made for an understandable presentation of the relevant theory, for a methodological confrontation of certain issues and for an originality of exercises.