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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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.

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<p>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 </p>

"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.

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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
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GPSR Compliance The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this. If you have any concerns about our products you can contact us on ProductSafety@springernature.com. In case Publisher is established outside the EU, the EU authorized representative is: Springer Nature Customer Service Center GmbH Europaplatz 3 69115 Heidelberg, Germany ProductSafety@springernature.com
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Produktdetaljer

ISBN
9780817682521
Publisert
2011-09-20
Utgave
2. utgave
Utgiver
Vendor
Birkhauser Boston Inc
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Lower undergraduate, UF, 05
Språk
Product language
Engelsk
Format
Product format
Innbundet

Om bidragsyterne

Andreescu, Titu, Enescu, Bogdan