Problems of number theory in mathematical competitions / Yu Hong-Bing ; translated by Lin Lei.
Material type:
TextLanguage: English Original language: Chinese Series: Mathematical Olympiad series ; v. 2.Publication details: Shanghai, CH : Singapore, SI : East China Normal University Press ; World Scientific, c2010Description: 106 p. ; 23 cmISBN: 9789814271141 (pbk.); 9814271144 (pbk.)Subject(s): Number theory | Mathematics -- CompetitionsDDC classification: 512.7 LOC classification: QA241 | .Y785 2010| Item type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode |
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Book
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University of Macedonia Library Βιβλιοστάσιο Α (Stack Room A) | Main Collection | QA241.Y785 2010 (Browse shelf (Opens below)) | 1 | Available | 0013129627 |
1. Divisibility -- 2. Greatest common divisors and least common multiples -- 3. Prime numbers and unique factorization theorem -- 4. Indeterminate equations (I) -- 5. Selected lectures on competition problems (I) -- 6. Congruence -- 7. Some famous theorems in number theory -- 8. Order and its application -- 9. Indeterminate equations (II) -- 10. Selected lecturers on competition problems (II) -- Appendix. Answers of exercises.
Number theory is an important research field of mathematics. In mathematical competitions, problems of elementary number theory occur frequently. These problems use little knowledge and have many variations. They are flexible and diverse. In this book, the author introduces some basic concepts and methods in elementary number theory via problems in mathematical competitions. Readers are encouraged to try to solve the problems by themselves before they read the given solutions of examples. Only in this way can they truly appreciate the tricks of problem-solving.
Text is in English, translated from Chinese.
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