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103 Trigonometry Problems: From the Training of the USA IMO Team 2005th Edition

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ISBN-13: 978-0817643348
ISBN-10: 0817643346
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Editorial Reviews


From the reviews:

"The way chosen by the authors of this book is one that goes directly to the interested student. The theoretical facts are presnented at the beginning of each paragraph and then problems with solutions are discussed...Most of the themes are from so-called trigonometric goemetry, making the book more pleasant for the interested student. Each topic is punctured by a lot of examples. I [note] the beautiful topics on spheric trigonometry which is nowadays forgetten in schools...To conclude, I enjoyed a wonderful text in trigonometry which contains also a lot of real important mathematical ideas. I recommend it as a basic text for all students and teachers involved in high school competitions as competitors or coaches." ---Revue Roumaine de Mathématiques Pures et Appliquées

"The title of this book already says everything about the content: 103 trigonometry problems that were given in the training and testing of the US International Mathematical Olympiad team are presented along with their solutions. … The presentation is clear, accurate and extensive. For these reasons the book is very easy to read and leads the reader to astonishing insights in an elementary field of mathematics. It is therefore also very appropriate as a textbook … ." (St. Götz, Monatshefte für Mathematik, Vol. 149 (3), 2006)

From the Back Cover

103 Trigonometry Problems contains highly-selected problems and solutions used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Though many problems may initially appear impenetrable to the novice, most can be solved using only elementary high school mathematics techniques.

Key features:

* Gradual progression in problem difficulty builds and strengthens mathematical skills and techniques

* Basic topics include trigonometric formulas and identities, their applications in the geometry of the triangle, trigonometric equations and inequalities, and substitutions involving trigonometric functions

* Problem-solving tactics and strategies, along with practical test-taking techniques, provide in-depth enrichment and preparation for possible participation in various mathematical competitions

* Comprehensive introduction (first chapter) to trigonometric functions, their relations and functional properties, and their applications in the Euclidean plane and solid geometry expose advanced students to college level material

103 Trigonometry Problems is a cogent problem-solving resource for advanced high school students, undergraduates, and mathematics teachers engaged in competition training.

Other books by the authors include 102 Combinatorial Problems: From the Training of the USA IMO Team (0-8176-4317-6, 2003) and A Path to Combinatorics for Undergraduates: Counting Strategies (0-8176-4288-9, 2004).


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Product Details

  • Paperback: 214 pages
  • Publisher: Birkhäuser; 2005 edition (December 15, 2004)
  • Language: English
  • ISBN-10: 0817643346
  • ISBN-13: 978-0817643348
  • Product Dimensions: 6.1 x 0.5 x 9.2 inches
  • Shipping Weight: 15 ounces (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #1,057,031 in Books (See Top 100 in Books)

More About the Author

Dr. Titu Andreescu is an associate professor of mathematics in the Science and Mathematics Education department at the University of Texas at Dallas (UTD). Much of his career has been devoted to competition math, an efficient medium for teaching creative problem-solving for a wide-range of math topics. With over 30 years of experience teaching, coaching, and mentoring the brightest mathematical minds of our age, Dr. Andreescu's books are essential for every math enthusiast's library. Here are just a few highlights from his distinguished career:

-Authored, co-authored, and edited more than 40 math books and publications
-Head coach and leader of the USA International Mathematical Olympiad (IMO) for 8 years
-Director of the Mathematical Association of American (MAA) American Mathematics -Competitions for 5 years
-Has contributed hundreds of problems to various math competitions including and up to the IMO
-Co-founder of the Purple Comet! Math Meet, the first international team based math competition,
-Founder and Director of AwesomeMath, an organization that provides enriching experiences in mathematics to intellectually curious learners,

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Most Helpful Customer Reviews

5 of 6 people found the following review helpful By Vicentiu Radulescu on September 4, 2005
Format: Paperback
I deeply consider that this is a very stimulating problem book that contains a variety of problems and their solutions.

This book is of high interest to anyone who wishes to pursue research in elementary trigonometry and its applications. It is also excellent for students who want to enhance their skills in elementary mathematics to support their research in other fields such as geometry, algebra or mathematical analysis. Some of the problems contained in the book are also suitable for undergraduate students.

I STRONGLY recommend this book to all who wish to find an excellent source of interesting and modern problems in trigonometry.
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0 of 1 people found the following review helpful By Stanton Douglas R on March 14, 2014
Format: Paperback Verified Purchase
Very laconic display and explanation of important theorems and a collection of problems ranging from manageable to fascinatingly challenging. I improved significantly after reading every word and working on every problem from the book.
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103 Trigonometry Problems: From the Training of the USA IMO Team
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