Complex Numbers from A to ... Z (eBook, PDF) - Andreescu, Titu; Andrica, Dorin
52,95 €
inkl. MwSt.
Sofort per Download lieferbar
payback
26 °P sammeln
  • Format: PDF

Complex Numbers from A to ...Z is an introduction to this fascinating subject, with a particular emphasis on key concepts and elementary results concerning these numbers. The reader learns how complex numbers may be used to solve algebraic equations as well as 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. A special feature of the book is a selection of outstanding Olympiad and other mathematical contest problems solved by employing the…mehr

Andere Kunden interessierten sich auch für
Produktbeschreibung
Complex Numbers from A to ...Z is an introduction to this fascinating subject, with a particular emphasis on key concepts and elementary results concerning these numbers. The reader learns how complex numbers may be used to solve algebraic equations as well as 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. A special feature of the book is a selection of outstanding Olympiad and other mathematical contest problems solved by employing the methods presented in the text. The work may serve as an engaging supplemental undergraduate text for an introductory course on complex numbers or number theory.

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Autorenporträt
Titu Andreescu received his Ph.D. from the West University of Timisoara, Romania. The topic of his dissertation was "Research on Diophantine Analysis and Applications." Professor Andreescu currently teaches at The University of Texas at Dallas. He is past chairman of the USA Mathematical Olympiad, served as director of the MAA American Mathematics Competitions (1998-2003), coach of the USA International Mathematical Olympiad Team (IMO) for 10 years (1993-2002), director of the Mathematical Olympiad Summer Program (1995-2002), and leader of the USA IMO Team (1995-2002). In 2002 Titu was elected member of the IMO Advisory Board, the governing body of the world's most prestigious mathematics competition. Titu co-founded in 2006 and continues as director of the AwesomeMath Summer Program (AMSP). He received the Edyth May Sliffe Award for Distinguished High School Mathematics Teaching from the MAA in 1994 and a "Certificate of Appreciation" from the president of the MAA in 1995 for his outstanding service as coach of the Mathematical Olympiad Summer Program in preparing the US team for its perfect performance in Hong Kong at the 1994 IMO. Titu's contributions to numerous textbooks and problem books are recognized worldwide. Dorin Andrica received his Ph.D in 1992 from "Babes¿-Bolyai" University in Cluj-Napoca, Romania; his thesis treated critical points and applications to the geometry of differentiable submanifolds. Professor Andrica has been chairman of the Department of Geometry at "Babes¿-Bolyai" since 1995. He has written and contributed to numerous mathematics textbooks, problem books, articles and scientific papers at various levels. He is an invited lecturer at university conferences around the world: Austria, Bulgaria, Czech Republic, Egypt, France, Germany, Greece, Italy, the Netherlands, Portugal, Serbia, Turkey, and the USA. Dorin is a member of the Romanian Committee for the Mathematics Olympiad and is a member onthe editorial boards of several international journals. Also, he is well known for his conjecture about consecutive primes called "Andrica's Conjecture." He has been a regular faculty member at the Canada-USA Mathcamps between 2001-2005 and at the AwesomeMath Summer Program (AMSP) since 2006.
Rezensionen
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 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…mehr
"I would warmly recommend this book to anyone interested in competitive mathematics or exploring an algebraic approach to Euclidean geometry, and teachers will find it a treasure trove of beautiful questions for enthusiastic students. Both authors richly deserve their reputations as problem selectors of great taste and discernment." (Dominic Rowland, The Mathematical Gazette, Vol. 100 (549), November, 2016)

"The target audience of the book is high school and undergraduate students. There is a large list of exercises with solutions, some taken from Mathematical Olympiad competitions. Thus the book is also a valuable resource for teachers and those interested in mathematical competitions. The first half of the book presents the complex numbers and their geometric properties in depth. The second half is a collection of exercises with solutions." (Stefan Ulrych, Mathematical Reviews, October, 2014)

"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)

"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)

"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)

"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 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

…mehr