Title
The Ussr Olympiad Problem Book: Selected Problems And Theorems Of Elementary Mathematics (Dover Books On Mathematics),New
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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.
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- Q: How many pages does the book contain? A: The book contains four hundred eighty pages. It offers a comprehensive collection of problems and solutions in elementary mathematics.
- Q: What are the dimensions of the book? A: The book measures five point sixteen inches in length, zero point ninety-one inches in width, and eight point seventy-eight inches in height.
- Q: What type of binding does this book have? A: This book is published in paperback binding. It is designed for durability and ease of use.
- Q: What subjects does this book cover? A: The book covers various subjects such as algebra, arithmetic, elementary number theory, and trigonometry. It includes unconventional problems from competitive examinations.
- Q: Who is the author of the book? A: The author of the book is D. O. Shklarsky. He presents a range of challenging mathematical problems.
- Q: Is this book suitable for high school students? A: Yes, this book is suitable for motivated high school students. It contains challenging problems that can also engage advanced seventh and eighth graders.
- Q: How are the problems organized in the book? A: The problems are grouped into twelve separate sections. These sections cover a variety of mathematical topics and concepts.
- Q: Are solutions provided for the problems in the book? A: Yes, complete solutions are provided for all problems. Many solutions also include alternative methods of approach.
- Q: Can this book be used in a classroom setting? A: Yes, this book is useful in high school and college curriculums. It is particularly beneficial for teachers handling gifted and advanced classes.
- Q: What makes the problems in this book unique? A: The problems are unconventional and often of uncommon difficulty. They challenge the ingenuity of both students and experienced mathematicians.
- Q: Is this book appropriate for beginners? A: No, this book is not primarily aimed at beginners. It is designed for those with a solid grasp of high school mathematics who seek more challenging problems.
- Q: Are there any advanced concepts discussed in the book? A: Yes, advanced concepts are discussed in the sections preceding the problems. This helps readers understand the context of the problems.
- Q: How can I best utilize this book for study? A: You can use this book by attempting the problems first, then checking the detailed solutions provided. This method enhances comprehension and problem-solving skills.
- Q: Is this book recommended for teachers? A: Yes, this book is highly recommended for teachers. It provides a wealth of problems suitable for advanced and gifted students.
- Q: What type of mathematical competitions inspired the problems? A: The problems were inspired by competitive examinations sponsored by the School Mathematical Society of the Moscow State University and various Mathematical Olympiads.
- Q: Can I find this book in libraries? A: Yes, you can often find this book in libraries, especially those with strong mathematics or educational collections. It's a valuable resource for both students and educators.