Book

Return to Mathematical Circles

📖 Overview

Return to Mathematical Circles contains a collection of mathematical problems, puzzles, and recreational mathematics presented through brief, focused chapters. The problems range from elementary to advanced levels, covering topics in geometry, algebra, number theory, and logic. The book follows a format where each mathematical concept or challenge is presented with historical context and practical applications. Problems are accompanied by solutions and explanations that guide readers through the reasoning process. This continuation of Eves' Mathematical Circles series maintains the blend of education and entertainment established in previous volumes. The selection of material reflects the author's experience as both a mathematician and educator. The text serves as a bridge between casual mathematics enthusiasts and those pursuing deeper mathematical study, highlighting the inherent appeal and intellectual satisfaction found in problem-solving.

👀 Reviews

Many reviewers note the book provides an eclectic mix of recreational math problems and mathematical history anecdotes. Multiple reviews describe it as a continuation of Eves' earlier work "Mathematical Circles" but with fresh material. Readers appreciate: - Historical anecdotes about mathematicians - Clear explanations of complex concepts - Mix of easy and challenging problems - Accessibility for high school students - Useful teaching resource Common criticisms: - Some problems lack solutions - Organization feels scattered - A few historical accounts contain errors - Problems vary significantly in difficulty Ratings & Reviews: Goodreads: 4.0/5 (13 ratings) Amazon: No reviews available One math teacher writes: "The stories add color to otherwise dry topics - my students love hearing about Newton's quirks while learning calculus." A student reviewer notes: "The missing solutions are frustrating, especially for self-study. Had to look elsewhere to verify my work."

📚 Similar books

Mathematical Circles by Howard Eves This collection presents mathematical problems, puzzles, and stories that showcase recreational mathematics in the same style as Return to Mathematical Circles.

Mathematical Puzzles: A Connoisseur's Collection by Peter Winkler The book contains 150 mathematical puzzles with solutions that range from clever games to deep theoretical problems.

To Mock a Mockingbird by Raymond Smullyan Through logic puzzles and mathematical riddles, this work introduces readers to combinatory logic using birds as metaphors for mathematical concepts.

What is the Name of This Book? by Raymond Smullyan The text presents logic paradoxes and mathematical puzzles through Knights and Knaves scenarios that build in complexity.

Mathematical Mind-Benders by Peter Winkler Each chapter presents mathematical problems that require creative thinking and unexpected approaches to solve, accompanied by detailed solutions.

🤔 Interesting facts

🔵 Howard Eves authored over 20 mathematics books during his career, with "Return to Mathematical Circles" being a sequel to his popular "Mathematical Circles" series which began in 1969. 🔵 The book contains a curated collection of mathematical anecdotes, stories, and puzzles that Eves gathered over decades of teaching and researching mathematics at various universities. 🔵 Each "circle" in the book is designed to be read in about 5-10 minutes, making it perfect for mathematics teachers to use as engaging classroom warm-ups or closing activities. 🔵 The format was inspired by Eves' "Mathematical Circles Time" radio program, where he shared similar mathematical tidbits and stories with listeners in the 1960s. 🔵 Many of the problems and stories in the book were collected from Eves' extensive correspondence with mathematicians worldwide, including some dating back to World War II when he served as an instructor for the U.S. Army Air Corps.