The present book is based on lectures given by the author to students of various colleges studying mathematics. In designing this course the author tried to select the most important mathematical facts and present them so that the reader could acquire the necessary mathematical conception and apply mathematics to other branches. Therefore in most cases we did not give rigorous formal proofs of the theorems. The rigorousness of a proof often fails to be fruitful and therefore it is usually ignored in practical applications. The book can be of use to readers of various professions dealing with applications of mathematics in their current work. The subject matter is presented in a very systematic and logical manner. It contains material which you will find of great use, not only in the your courses you have yet to take, but also in your profession after graduation, as long as you deal with the analytical aspects of your field.

PhD (name of University and date)Kiev University (Old USSR) 1972 - Faculty of Mathematics.MSc (name of University and date)Cairo University 1968 - Faculty of Science.BSc (name of University and date)Cairo University 1965 - Faculty of ScienceProfessor Of Mathematics at Faculty of Engineering (Shoubra)Benha University EGYPT Since 1999