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Mathematical Olympiad Treasures

Autor Titu Andreescu, Bogdan Enescu
en Limba Engleză Hardback – 20 sep 2011
This second edition of Mathematical Olympiad Treasures contains a stimulating collection of problems in geometry and trigonometry, algebra, number theory, and combinatorics. It encourages readers to think creatively about techniques and strategies for solving real-world problems, with new sections, revisions, and many more Olympiad-like problems at various levels of difficulty.
The problems are clustered by topic into three self-contained chapters. The book begins with elementary facts, followed by carefully selected problems and detailed, step-by-step solutions, which then lead to more complicated, challenging problems and their solutions. Reflecting the vast experience of two professors and Mathematical Olympiad coaches, the text will be invaluable to teachers, students, and puzzle enthusiasts. The advanced reader is challenged to find alternative solutions and extensions of the proposed problems.
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Specificații

ISBN-13: 9780817682521
ISBN-10: 081768252X
Pagini: 253
Ilustrații: VIII, 253 p.
Dimensiuni: 155 x 235 x 16 mm
Greutate: 0.54 kg
Ediția:2nd ed. 2012
Editura: Birkhäuser Boston
Colecția Birkhäuser
Locul publicării:Boston, MA, United States

Public țintă

Lower undergraduate

Cuprins

I Problems.- 1 Algebra.- 2 Geometry and Trigonometry.- 3 Number Theory and Combinatorics.- II Solutions.- 4 Algebra.- 5 Geometry and Trigonometry.- 6 Number Theory and Combinatorics

Textul de pe ultima copertă

"I took great pleasure in reading Mathematical Olympiad Treasures, by Titu Andreescu and Bogdan Enescu. This book is the fruit of the prodigious activity of two well-known creators of mathematics problems in various mathematical journals.... In all the chapters, the reader can find numerous challenging problems. All featured solutions are interesting, given in increasing level of difficulty; some of them are real gems that will give great satisfaction to any math lover attempting to solve the problems—or even extend them. I believe strongly that Mathematical Olympiad Treasures will reveal the beauty of mathematics to all students, teachers, and all math lovers." 
—MAA Online (Review of the First Edition)
"...this is one of a long recent series of challenging secondary math books, coauthored by Dr. Titu Andreescu and published by Birkhäuser, a series that has definitely enriched the literature on secondary mathematics—a credit to the coauthor and to the wisdom of the editor."
—Zentralblatt MATH (Review of the First Edition)
This second edition of Mathematical Olympiad Treasures contains a stimulating collection of problems in geometry and trigonometry, algebra, number theory, and combinatorics. It encourages readers to think creatively about techniques and strategies for solving real-world problems, with new sections, revisions, and many more Olympiad-like problems at various levels of difficulty.
The problems are clustered by topic into three self-contained chapters. The book begins with elementary facts, followed by carefully selected problems and detailed, step-by-step solutions, which then lead to more complicated, challenging problems and their solutions. Reflecting the vast experience of two professors and Mathematical Olympiad coaches, the text will be invaluable to teachers, students, and puzzle enthusiasts. The advanced reader is challenged to findalternative solutions and extensions of the proposed problems.

Caracteristici

Second edition includes new sections, revisions, and many more Olympiad-like problems at various levels of difficulty Aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts and problems in undergraduate mathematics Contains a stimulating collection of problems in the subjects of algebra, geometry and trigonometry, number theory and combinatorics Should benefit undergraduate students, advanced high school students, instructors, and coaches Encourages readers to think creatively about techniques and strategies for solving real-world problems Includes supplementary material: sn.pub/extras