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Would you like to tell us about a lower price? If you are a seller for this product, would you like to suggest updates through seller support? This book contains 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.
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Review this product Share your thoughts with other customers. Write a customer review. Most helpful customer reviews on Amazon. Verified Purchase. These problems range from intriguing to mind-bending. Who else but Dover would publish such a quality collection, with the original thoughtful typesetting and illustrations?
Keep that in mind when you look at the grade-level guide. Added Photo: You, as you finish solving all the problems in this book.
This book contains a number of problems in Elementary Mathematics. I don't know what they mean by that, since most of the problems forced me to think a great deal, but maybe that is because my math is slightly rusty. However, this book also contains detailed solutions, so you aren't left hanging for anything.
Some of the answers contain radicals and other numbers that are irrational, so maybe they mean that no calculus is involved in getting the answers.
In any case, the book clearly states the problem and numbers the problem so you can find the answer in the book. This is all I really ask for in a mathematics text; a way to see if I am right or not.
Great training for the Olympics. I've always been lazy to run but every time I see it I ran as far away as possible. Ill be in the Olympics in no time. This book is a great source of high-quality math olympiad problems with solutions. If you want to have the pleasure of real math, then you should try this book.
I liked it very much. Highly recommended. People who already have some background in basic math and find doing math problems relaxing will be happy with the book - problems and solutions are very well done.
I'd say worth their investment. Book received in excellent condition and before promised time. Thank you. Go to Amazon. Back to top. Get to Know Us. Shopbop Designer Fashion Brands. Alexa Actionable Analytics for the Web. DPReview Digital Photography.
ISBN 13: 9780486277097
This book contains 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.
The USSR Olympiad Problem Book : Selected Problems and Theorems of Elementary Mathematics