Title
Challenging Mathematical Problems With Elementary Solutions (Volume 2),Used
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Designed for advanced high school students, undergraduates, graduate students, mathematics teachers, and any lover of mathematical challenges, this twovolume set offers a broad spectrum of challenging problems ranging from relatively simple to extremely difficult. Indeed, some rank among the finest achievements of outstanding mathematicians.Translated from a wellknown Russian work entitled NonElementary Problems in an Elementary Exposition, the chief aim of the book is to acquaint the readers with a variety of new mathematical facts, ideas, and methods. And while the majority of the problems represent questions in higher ('nonelementary') mathematics, most can be solved with elementary mathematics. In fact, for the most part, no knowledge of mathematics beyond a good high school course is required.Volume One contains 100 problems, with detailed solutions, all dealing with probability theory and combinatorial analysis. Topics include the representation of integers as sums and products, combinatorial problems on the chessboard, geometric problems on combinatorial analysis, problems on the binomial coefficients, problems on computing probabilities, experiments with infinitely many possible outcomes, and experiments with a continuum of possible outcomes.Volume Two contains 74 problems from various branches of mathematics, dealing with such topics as points and lines, lattices of points in the plane, topology, convex polygons, distribution of objects, nondecimal counting, theory of primes, and more. In both volumes the statements of the problems are given first, followed by a section giving complete solutions. Answers and hints are given at the end of the book.Ideal as a text, for selfstudy, or as a working resource for a mathematics club, this wideranging compilation offers 174 carefully chosen problems that will test the mathematical acuity and problemsolving skills of almost any student, teacher, or mathematician.
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- Q: What is the target audience for 'Challenging Mathematical Problems With Elementary Solutions (Volume 2)'? A: This book is designed for advanced high school students, undergraduates, graduate students, mathematics teachers, and anyone interested in mathematical challenges.
- Q: What topics are covered in Volume Two of this book? A: Volume Two covers a variety of topics, including points and lines, lattices of points in the plane, topology, convex polygons, distribution of objects, nondecimal counting, theory of primes, and more.
- Q: How many problems are included in this volume and how are they structured? A: Volume Two contains 74 problems, with each problem followed by complete solutions, answers, and hints provided at the end of the book.
- Q: Is prior knowledge of advanced mathematics required to solve the problems? A: Most problems can be solved with elementary mathematics, and generally, no knowledge beyond a good high school course is required.
- Q: Can this book be used for self-study? A: Yes, it is ideal for self-study, as well as for use as a text or resource in mathematics clubs.
- Q: What is the binding type of this book? A: The book is available in a paperback binding.
- Q: When was 'Challenging Mathematical Problems With Elementary Solutions (Volume 2)' published? A: The book was published on December 1, 1987.
- Q: Who is the author of this mathematical problem book? A: The author of this book is A. M. Yaglom.
- Q: How many pages does this volume contain? A: Volume Two contains a total of 240 pages.
- Q: Are the problems in this book suitable for beginners? A: While some problems are simpler, the book is primarily aimed at those with advanced knowledge, making it less suitable for complete beginners.