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The USSR Olympiad Problem Book: Selected Problems and Theorems of Elementary Mathematics de D. O. Shklarsky

The USSR Olympiad Problem Book: Selected Problems and Theorems of Elementary Mathematics: Dover Books on Mathematics

Autor D. O. Shklarsky, N. N. Chentozov, D. O. Shkliarskii
en Limba Engleză Paperback – 31 aug 1993
Over 300 challenging problems in algebra, arithmetic, elementary number theory and trigonometry, selected from the archives of the Mathematical Olympiads held at Moscow University. Most presuppose only high school mathematics but some are of uncommon difficulty and will challenge any mathematician. Complete solutions to all problems. 27 black-and-white illustrations. 1962 edition.
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Specificații

ISBN-13: 9780486277097
ISBN-10: 0486277097
Pagini: 480
Dimensiuni: 131 x 223 x 23 mm
Greutate: 0.47 kg
Ediția:Revised
Editura: Dover Publications
Seria Dover Books on Mathematics

Descriere

Over 300 challenging problems in algebra, arithmetic, elementary number theory and trigonometry, selected from the archives of the Mathematical Olympiads held at Moscow University. Most presuppose only high school mathematics but some are of uncommon difficulty and will challenge any mathematician. Complete solutions to all problems. 27 black-and-white illustrations. 1962 edition.

Cuprins

Foreword to the Third (Russian) Edition Preface to the Second (Russian) Edition Editor's Foreword to the English Edition From the Authors Suggestions for Using this Book Numerical Reference to the Problems Given in the Moscow Mathematical Olympiads 1. Introductory Problems (1-14) 2. Alterations of Digits in Integers (15-26) 3. The Divisibility of Integers (27-71) 4. Some Problems from Arithmetic (72-109) 5. Equations Having Integer Solutions (110-130) 6. Evaluating Sums and Products (131-159) 7. Miscellaneous Problems from Algebra (160-195) 8. The Algebra of Polynomials (196-221) 9. Complex Numbers (222-239) 10. Some Problems of Number Theory (240-254) 11. Some Distinctive Inequalities (255-308) 12. Difference Sequences and Sums (309-320) Solutions Answers and Hints