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The Art of Problem Solving
288 pages
A rigorous but deeply rewarding mental workout that transforms math from rote memorization into a thrilling puzzle.
What it feels like
Reading this book feels less like studying and more like training for an intellectual marathon. The atmosphere is intensely focused and cerebral, demanding that you slow down, grab a pencil, and wrestle with concepts until they finally click. The prose is remarkably conversational for a textbook, guiding you with an encouraging but rigorous hand through increasingly complex mental puzzles. It replaces the dry rote memorization of standard math classes with a thrilling sense of discovery and creative logic. The emotional journey is one of productive struggle, where the temporary frustration of a difficult problem gives way to the profound, quiet satisfaction of an aha moment. It is a perfect fit for ambitious students, puzzle enthusiasts, and anyone who finds joy in elegant deduction.
- Mood
- focused
- cerebral
- stimulating
- rewarding
- Tone
- encouraging
- rigorous
- conversational
- intellectual
- Pace
- steady
- Themes
- creative problem-solving · intellectual growth · the beauty of logic · productive struggle
- The writing
- Clear, conversational, and precise, designed to guide rather than lecture.
- The arc
- Moves from the initial intimidation of a complex puzzle to the profound satisfaction of a hard-won breakthrough.
- Who it's for
- Ambitious students and puzzle enthusiasts who want to understand the elegant 'why' behind mathematics rather than just memorizing formulas.
About the book
The Art of Problem Solving, Volume 1, is the classic problem solving textbook used by many successful MATHCOUNTS programs, and have been an important building block for students who, like the authors, performed well enough on the American Mathematics Contest series to qualify for the Math Olympiad Summer Program which trains students for the United States International Math Olympiad team. Volume 1 is appropriate for students just beginning in math contests. MATHCOUNTS and novice high school students particularly have found it invaluable. Although the Art of Problem Solving is widely used by students preparing for mathematics competitions, the book is not just a collection of tricks. The emphasis on learning and understanding methods rather than memorizing formulas enables students to solve large classes of problems beyond those presented in the book. Speaking of problems, the Art of Problem Solving, Volume 1, contains over 500 examples and exercises culled from such contests as MATHCOUNTS, the Mandelbrot Competition, the AMC tests, and ARML. Full solutions (not just answers!) are available for all the problems in the solution manual. - Publisher.
Description from Open Library.
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