By B. V. Shabat
Because the Nineteen Sixties, there was a flowering in higher-dimensional complicated research. either classical and new ends up in this region have stumbled on a number of purposes in research, differential and algebraic geometry, and, particularly, modern mathematical physics. in lots of parts of recent arithmetic, the mastery of the rules of higher-dimensional complicated research has develop into helpful for any expert. meant as a first examine of higher-dimensional complicated research, this publication covers the speculation of holomorphic services of numerous advanced variables, holomorphic mappings, and submanifolds of complicated Euclidean area.