Download PDF Complex Numbers from A to ... Z, by Titu Andreescu, Dorin Andrica
Those are a few of the advantages to take when obtaining this Complex Numbers From A To ... Z, By Titu Andreescu, Dorin Andrica by on-line. Yet, how is the means to get the soft file? It's quite ideal for you to see this page because you could obtain the link page to download and install guide Complex Numbers From A To ... Z, By Titu Andreescu, Dorin Andrica Merely click the link supplied in this article and also goes downloading. It will certainly not take significantly time to obtain this book Complex Numbers From A To ... Z, By Titu Andreescu, Dorin Andrica, like when you have to go for publication store.
Complex Numbers from A to ... Z, by Titu Andreescu, Dorin Andrica
Download PDF Complex Numbers from A to ... Z, by Titu Andreescu, Dorin Andrica
Complex Numbers From A To ... Z, By Titu Andreescu, Dorin Andrica. The industrialized innovation, nowadays assist everything the human requirements. It includes the everyday activities, tasks, office, amusement, and also more. Among them is the terrific website link and also computer system. This problem will certainly relieve you to assist among your pastimes, reviewing behavior. So, do you have ready to review this publication Complex Numbers From A To ... Z, By Titu Andreescu, Dorin Andrica now?
Reading routine will certainly consistently lead individuals not to completely satisfied reading Complex Numbers From A To ... Z, By Titu Andreescu, Dorin Andrica, an e-book, ten book, hundreds books, and a lot more. One that will certainly make them feel completely satisfied is completing reading this publication Complex Numbers From A To ... Z, By Titu Andreescu, Dorin Andrica as well as obtaining the message of guides, after that discovering the other following e-book to review. It proceeds even more and also more. The time to finish reading an e-book Complex Numbers From A To ... Z, By Titu Andreescu, Dorin Andrica will be constantly various relying on spar time to invest; one example is this Complex Numbers From A To ... Z, By Titu Andreescu, Dorin Andrica
Now, how do you understand where to get this e-book Complex Numbers From A To ... Z, By Titu Andreescu, Dorin Andrica Never mind, now you could not go to guide store under the bright sun or night to search guide Complex Numbers From A To ... Z, By Titu Andreescu, Dorin Andrica We right here constantly help you to find hundreds sort of publication. One of them is this book entitled Complex Numbers From A To ... Z, By Titu Andreescu, Dorin Andrica You might go to the web link page provided in this set and also then go with downloading. It will certainly not take even more times. Just hook up to your net access as well as you can access the e-book Complex Numbers From A To ... Z, By Titu Andreescu, Dorin Andrica on-line. Naturally, after downloading and install Complex Numbers From A To ... Z, By Titu Andreescu, Dorin Andrica, you may not print it.
You can save the soft file of this e-book Complex Numbers From A To ... Z, By Titu Andreescu, Dorin Andrica It will depend upon your downtime as well as activities to open and also read this e-book Complex Numbers From A To ... Z, By Titu Andreescu, Dorin Andrica soft documents. So, you might not be worried to bring this publication Complex Numbers From A To ... Z, By Titu Andreescu, Dorin Andrica everywhere you go. Just include this sot data to your gadget or computer system disk to allow you read every time and also all over you have time.
* 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
- Sales Rank: #1216992 in Books
- Published on: 2014-02-28
- Released on: 2014-02-28
- Original language: English
- Number of items: 1
- Dimensions: 9.25" h x .93" w x 6.10" l, 1.27 pounds
- Binding: Paperback
- 391 pages
Review
From the book reviews:
“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
From the Back Cover
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. It distills 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 undergraduates, high school students and their teachers, 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.
Most helpful customer reviews
35 of 40 people found the following review helpful.
A very useful book on complex numbers
By Vicentiu Radulescu
Mathematics is amazing not only in its power and beauty, but also in the way that it has applications in so many areas. The aim of this book is to stimulate young people to become interested in mathematics, to enthuse, inspire, and challenge them, their parents and their teachers with the wonder, excitement, power, and relevance of mathematics.
This book is a very well written introduction to the fascinating theory of complex numbers and it
contains a fine collection of excellent exercises ranging in difficulty from the fairly easy, if calculational, to the more challenging. As stated
by the authors, 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."
The book is mainly devoted to complex numbers and to their wide applications in various fields, such as geometry, trigonometry or algebraic operations. An important feature of this marvelous book is that
it presents a wide range of problems of all degrees of difficulties, but also
that it includes easy proofs and natural generalizations of many theorems in elementary geometry.
The authors show how to approach the solution of such problems, emphasizing the use of methods rather than the mere use of formulas. Of course, the more sophisticated the problems become, the more specific this approach has to be chosen.
The book is self-contained; no background in complex numbers is assumed and complete
solutions to routine problems and to olympiad-caliber problems are presented in the last chapter of the book.
The aim of the core part of each chapter is to develop key mathematical ideas and to place them in the context of novel, interesting, and unexpected applications to real-world problems.
The first chapter deals with complex numbers in algebraic form and leads up to the geometric interpretations of the modulus and of the algebraic operations. The second chapter deals with various applications to trigonometry,
starting with elementary facts on the polar representation of complex numbers
and going up to more sophisticated properties related to $n$th roots of unity and their applications in solving
binomial equations. Chapter 3 is devoted to the applications of complex numbers in solving problems in Plane and Analytic Geometry. This chapter includes a lot of interesting properties related to collinearity, orthogonality, concyclicity, similar triangles, as well as very useful analytic formulas for the geometry of a triangle and of a circle in the complex plane. Chapter 4 contains much more powerful results such as: the nine-point circle of Euler, some important distances in a triangle, barycentric coordinates, orthopolar triangles, Lagrange's theorem, geometric transformations in the complex plane. This chapter also includes a marvelous theorem known in the mathematical
folklore under the name of "Morley's Miracle" and which simply states that "the three points of intersection
of the adjacent trisectors of any triangle form an equilateral triangle". As stated in the book, this theorem
was mistakenly attributed to Napoleon Bonaparte. The proof of this theorem follows directly from Theorem 3 on page 155, a deep result which was obtained by the celebrated French mathematician Alain Connes (Fields Medal in
1982 and Clay Research Award in 2000),
in connection with his revolutionary results in Noncommutative Geometry. Chapter 5 illustrates the force of the
method of complex numbers in solving several Olympiad-caliber problems where this technique works very efficiently.
This very successful book is the fruit of the prodigious activity of two well-known creators of mathematics problems in various mathematical journals. The big experience of the authors in preparing students for various mathematical competitions allowed them to present a big collection of beautiful problems. This book continues the tradition making national and international mathematical competition problems available to a wider audience and is bound to appeal to anyone interested in mathematical problem solving.
I very strongly recommend this book to all students curious about elementary mathematics, especially those who are bored at school and ready for a challenge. Teachers would find this book to be a welcome resource, as will contest organizers.
This book is meant both to be read and to be used.
All in all, an excellent book for its intended audience!
2 of 2 people found the following review helpful.
I have to say that this book is really awesome
By brwar
Actually I didn't buy this book but just download it from Stanford's library's website. Hopefully it's legal. I mean, it's Stanford's website, right? But I have to thank the author for writing such a great book. I didn't learn much about complex numbers in my high school, and don't feel comfortable with my college complex analysis textbook, so I got this book to build a firm foundation for my complex analysis class. As a Math major, I really love the way this book is written. It's so well-ordered (well, I didn't mean that well-ordered in Mathematics, you get the idea-_-), so clear and every step is backed by reasons. IT MAKES SENSES! Anyway, I would recommend this book to anyone who wants to take complex analysis because a lot of us don't have enough knowledge about complex numbers but the complex analysis class is based on the assumption that we are already masters of it.
2 of 2 people found the following review helpful.
I approve
By malfalfa
Goes over the basics of complex numbers from A to Z and is absolutely loaded with examples and practice problems. I wish it was more proofs and less practice problems, but that's just a personal preference.
See all 7 customer reviews...
Complex Numbers from A to ... Z, by Titu Andreescu, Dorin Andrica PDF
Complex Numbers from A to ... Z, by Titu Andreescu, Dorin Andrica EPub
Complex Numbers from A to ... Z, by Titu Andreescu, Dorin Andrica Doc
Complex Numbers from A to ... Z, by Titu Andreescu, Dorin Andrica iBooks
Complex Numbers from A to ... Z, by Titu Andreescu, Dorin Andrica rtf
Complex Numbers from A to ... Z, by Titu Andreescu, Dorin Andrica Mobipocket
Complex Numbers from A to ... Z, by Titu Andreescu, Dorin Andrica Kindle
Complex Numbers from A to ... Z, by Titu Andreescu, Dorin Andrica PDF
Complex Numbers from A to ... Z, by Titu Andreescu, Dorin Andrica PDF
Complex Numbers from A to ... Z, by Titu Andreescu, Dorin Andrica PDF
Complex Numbers from A to ... Z, by Titu Andreescu, Dorin Andrica PDF
