Complex Numbers from A to … Z
Complex Numbers from A to … Z by Titu Andreescu, published by Birkhäuser Boston on February 17, 2014, is a comprehensive exploration of complex numbers, a fundamental concept in modern mathematics. This second edition, spanning 391 pages, introduces readers to the essential principles and applications of complex numbers, emphasizing their role in solving algebraic equations and their geometric interpretations.
Readers will find a thorough examination of key concepts, supported by a variety of exercises and problems that cater to different skill levels. The book includes new problems and solutions, enhancing its educational value. A notable feature is the final chapter, which presents a selection of challenging Olympiad and other significant mathematical contest problems, showcasing the practical application of the methods discussed. This edition is suitable for undergraduate students, high school learners, and educators involved in mathematics competitions, as well as anyone with an interest in the subject.
Official synopsis Publisher
It is impossible to imagine modern mathematics without complex numbers. The second edition of Complex Numbers from A to … Z introduces the reader to this fascinating subject that from the time of L. Euler has become one of the most utilized ideas in mathematics.
The exposition concentrates on key concepts and then elementary results concerning these numbers. The reader learns how complex numbers can be used to solve algebraic equations and to understand the geometric interpretation of complex numbers and the operations involving them.
The theoretical parts of the book are augmented with rich exercises and problems at various levels of difficulty. Many new problems and solutions have been added in this second edition. A special feature of the book is the last chapter a selection of outstanding Olympiad and other important mathematical contest problems solved by employing the methods already presented.
The book reflects the unique experience of the authors. Itdistills a vast mathematical literature most of which is unknown to the western public and captures the essence of an abundant problem culture. The target audience includes undergraduate high school students and their teacher’s mathematical contestants (such as those training for Olympiads or the W. L. Putnam Mathematical Competition) and their coaches as well as anyone interested in essential mathematics.
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