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Five hundred mathematical challenges / Edward J. Barbeau, Murray S. Klamkin, William O.J. Moser.

By: Barbeau, Edward, 1938-Contributor(s): Klamkin, Murray S | Moser, W. O. JMaterial type: TextTextSeries: Spectrum seriesPublication details: [Washington, DC] : Mathematical Association of America, ©1995. Description: 1 online resource : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9781614445074; 1614445079Other title: 500 mathematical challenges [Spine title]Subject(s): Mathematics -- Problems, exercises, etc | Mathématiques -- Problèmes et exercices | MATHEMATICS -- History & Philosophy | MATHEMATICS -- Recreations & Games | Mathematics | Wiskunde | Wiskundige logica | ProbleemoplossingGenre/Form: Electronic books. | Electronic books. | Problems and exercises. Additional physical formats: Print version:: Five hundred mathematical challenges.DDC classification: 510/.76 LOC classification: QA43Online resources: Click here to access online
Contents:
Cover -- copyright page -- Title page -- PREFACE -- Contents -- Problems -- Solutions -- The Tool Chest -- A. Combinatorics -- B. Arithmetic -- C. Algebra -- D. Inequalities -- E. Geometry and Trigonometry -- F. Analysis -- Index of Problems.
Summary: This book contains 500 problems that range over a wide spectrum of areas of high school mathematics and levels of difficulty. Some are simple mathematical puzzlers while others are serious problems at the Olympiad level. Students of all levels of interest and ability will be entertained and taught by the book. For many problems, more than one solution is supplied so that students can see how different approaches can be taken to a problem and compare the elegance and efficiency of different tools that might be applied. Teachers at both the college and secondary levels will find the book useful, both for encouraging their students and for their own pleasure. Some of the problems can be used to provide a little spice in the regular curriculum by demonstrating the power of very basic techniques. This collection provides a solid base for students who wish to enter competitions at the Olympiad level. They can begin with easy problems and progress to more demanding ones. A special mathematical tool chest summarizes the results and techniques needed by competition-level students.
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Title from PDF title page (viewed on May 31, 2012).

Includes index.

Cover -- copyright page -- Title page -- PREFACE -- Contents -- Problems -- Solutions -- The Tool Chest -- A. Combinatorics -- B. Arithmetic -- C. Algebra -- D. Inequalities -- E. Geometry and Trigonometry -- F. Analysis -- Index of Problems.

This book contains 500 problems that range over a wide spectrum of areas of high school mathematics and levels of difficulty. Some are simple mathematical puzzlers while others are serious problems at the Olympiad level. Students of all levels of interest and ability will be entertained and taught by the book. For many problems, more than one solution is supplied so that students can see how different approaches can be taken to a problem and compare the elegance and efficiency of different tools that might be applied. Teachers at both the college and secondary levels will find the book useful, both for encouraging their students and for their own pleasure. Some of the problems can be used to provide a little spice in the regular curriculum by demonstrating the power of very basic techniques. This collection provides a solid base for students who wish to enter competitions at the Olympiad level. They can begin with easy problems and progress to more demanding ones. A special mathematical tool chest summarizes the results and techniques needed by competition-level students.

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