This is an international Book for mathematical research of the highest rank. It offers a forum for mathematical research with some emphasis on the contributions of all African mathematicians and the rich connections between all African universities and those of other continents. This Book considers papers in all areas of mathematics. Only unpublished material will be considered, and authors may not republish their contribution elsewhere. This Book publishes papers written either in English or in French. Papers in French should begin with a brief English summary. As requirement, authors do agree to adapt their accepted papers to the Book's template, provided upon request.