| The USSR Olympiad Problem Book: Selected Problems and Theorems of Elementary Mathematics Revised Edition Contributor(s): Shklarsky, D. O. (Author), Chentzov, N. N. (Author), Yaglom, I. M. (Author) |
|
 |
ISBN: 0486277097 ISBN-13: 9780486277097 Publisher: Dover Publications OUR PRICE: $27.00 Product Type: Paperback Published: September 1993 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | History & Philosophy - Mathematics | Study & Teaching |
| Dewey: 510.76 |
| LCCN: 93011553 |
| Series: Dover Books on Mathematics |
| Physical Information: 0.9" H x 5.16" W x 8.76" (1.03 lbs) 480 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |