The USSR Olympiad Problem Book (Paperback)

D.O. Shklarsky

ISBN 10: 0486277097 / ISBN 13: 9780486277097

Editore: Dover Publications Inc., New York, 2003

Riguardo questo articolo

Paperback. Over 300 challenging problems in algebra, arithmetic, elementary number theory and trigonometry, selected from Mathematical Olympiads held at Moscow University. Only high school math needed. Includes complete solutions. Features 27 black-and-white illustrations. This book contains 320 unconventional problems in algebra, arithmetic, elementary number theory, and trigonometry. Most of the problems first appeared in competitive examinations sponsored by the School Mathematical Society of the Moscow State University and the Mathematical Olympiads held in Moscow. Although most of the problems presuppose only high school mathematics, they are not easy; some are of uncommon difficulty and will challenge the ingenuity of any research mathematician. Nevertheless, many are well within the reach of motivated high school students and even advanced seventh and eighth graders. The problems are grouped into twelve separate sections. Among these are: the divisibility of integers, equations having integer solutions, evaluating sums and products, miscellaneous algebraic problems, the algebra of polynomials, complex numbers, problems of number theory, distinctive inequalities, difference sequences and sums, and more. Complete solutions to all problems are given; in many cases, alternate solutions are detailed from different points of view. Solutions to more advanced problems are given in considerable detail. Moreover, when advanced concepts are employed, they are discussed in the section preceding the problems. Useful in a variety of ways in high school and college curriculums, this challenging volume will be of particular interest to teachers dealing with gifted and advanced classes. Over 300 challenging problems in algebra, arithmetic, elementary number theory and trigonometry, selected from Mathematical Olympiads held at Moscow University. Only high school math needed. Includes complete solutions. Features 27 black-and-white illustrations. 1962 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Codice articolo 9780486277097

Dati bibliografici

• Titolo: The USSR Olympiad Problem Book (Paperback)
• Editore: Dover Publications Inc., New York
• Data di pubblicazione: 2003
• Lingua: Inglese
• ISBN 10: 0486277097
• ISBN 13: 9780486277097
• Rilegatura: Paperback
• Edizione: terza edizione
• Condizione: new

Descrizione articolo

Riassunto

Oltre 300 problemi impegnativi di algebra, aritmetica, teoria elementare dei numeri e trigonometria, selezionati dagli archivi delle Olimpiadi della matematica tenutesi presso l'Università di Mosca. La maggior parte presuppone solo matematica delle scuole superiori, ma alcuni sono di difficoltà non comune e metteranno alla prova qualsiasi matematico. Soluzioni complete a tutti i problemi. 27 illustrazioni in bianco e nero. Edizione del 1962.

Contenuti

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