Complex Numbers from A to ... Z
(Sprache: Englisch)
This book shows how complex numbers can be used to solve algebraic equations, and to understand the geometric interpretation of complex numbers and the operations involving them. Includes exercises of varying difficulty, many added for this second edition.
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Produktinformationen zu „Complex Numbers from A to ... Z “
This book shows how complex numbers can be used to solve algebraic equations, and to understand the geometric interpretation of complex numbers and the operations involving them. Includes exercises of varying difficulty, many added for this second edition.
Klappentext zu „Complex Numbers from A to ... Z “
Learn how complex numbers may be used to solve algebraic equations, as well as their geometric interpretation
Theoretical aspects are augmented with rich exercises and problems at various levels of difficulty
A special feature is a selection of outstanding Olympiad problems solved by employing the methods presented
May serve as an engaging supplemental text for an introductory undergrad course on complex numbers or number theory
Inhaltsverzeichnis zu „Complex Numbers from A to ... Z “
Preface.- Complex Numbers in Algebraic Form.- Complex Numbers in Trigonometric Form.- Complex Numbers and Geometry.- More on Complex Numbers and Geometry.- Olympiad-Caliber Problems.- Answers, Hints and Solutions to Proposed Problems.- Glossary.- References.- Index of Authors.Autoren-Porträt von Titu Andreescu, Dorin Andrica
Professor Andreescu teaches at University of Texas at Dallas.
Bibliographische Angaben
- Autoren: Titu Andreescu , Dorin Andrica
- 2014, 2. Aufl., 391 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer
- ISBN-10: 081768414X
- ISBN-13: 9780817684143
- Erscheinungsdatum: 17.02.2014
Sprache:
Englisch
Rezension zu „Complex Numbers from A to ... Z “
From the reviews:"The book is a real treasure trove of nontrivial elementary key concepts and applications of complex numbers developed in a systematic manner with a focus on problem-solving techniques. Much of the book goes to geometric applications, of course, but there are also sections on polynomial equations, trigonometry, combinatorics.... Problems constitute an integral part of the book alongside theorems, lemmas and examples. The problems are embedded in the text throughout the book, partly as illustrations to the discussed concepts, partly as the testing grounds for the techniques just studied, but mostly I believe to emphasize the centrality of problem solving in the authors' world view.... The book is really about solving problems and developing tools that exploit properties of complex numbers.... The reader will find a good deal of elegant and simple sample problems and even a greater quantity of technically taxing ones. The book supplies many great tools to help solve those problems. As the techniques go, the book is truly From 'A to Z'." -- MAA
"It is for the readers who seek to harness new techniques and to polish their mastery of the old ones. It is for somebody who made it their business to be solving problems on a regular basis. These readers will appreciate the scope of the methodological detail the authors of the book bring to their attention, they will appreciate the power of the methods and theintricacy of the problems." -- MAA REVIEWS
"This book is devoted to key concepts and elementary results concerning complex numbers. ... It contains numerous exercises with hints and solutions. ... The book will serve as a useful source for exercises for an introductory course on complex analysis." -- F. Haslinger, Monatshefte für Mathematik, Vol. 149 (3), 2006
"Both of the authors are well-known for their capacity of an integral point of view about mathematics: from the level of the school, through the university level, to
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the scientific results. The theory appears strictly connected with the problems, the hardest world contest included. Both of them have a very rich experience in preparing Olympic teams in Romania and in the United States.
"... A significant list of references and two indexes complete the book. I strongly recommend the book for pupils, students and teachers." -- Dan Brânzei, Analele Stiintifice
"The main purpose of this book is to stimulate young people to become interested in mathematics ... . This book is a very well written introduction to the theory of complex numbers and it contains a fine collection of excellent exercises ... . the targeted audience is not standard and it 'includes high school students and their teachers, undergraduates, mathematics contestants such as those training for Olympiads or the William Lowell Putnam Mathematical Competition, their coaches, and any person interested in essential mathematics." -- Vicentiu D. Radulescu, Zentralblatt MATH, Vol. 1127 (4), 2008
"... A significant list of references and two indexes complete the book. I strongly recommend the book for pupils, students and teachers." -- Dan Brânzei, Analele Stiintifice
"The main purpose of this book is to stimulate young people to become interested in mathematics ... . This book is a very well written introduction to the theory of complex numbers and it contains a fine collection of excellent exercises ... . the targeted audience is not standard and it 'includes high school students and their teachers, undergraduates, mathematics contestants such as those training for Olympiads or the William Lowell Putnam Mathematical Competition, their coaches, and any person interested in essential mathematics." -- Vicentiu D. Radulescu, Zentralblatt MATH, Vol. 1127 (4), 2008
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