book recommendation for problem-solving [closed]

problem-solving book-recommendation

I think russians are great mathematicians:pelerman, kolmogorov stanislav smirnov and etc.I am interested in:what kind of mathematical education they have, so that they were able to achieve that much?can you suggest some problem solving books or any suggestions that would help me to rise my math skill and problem solving ability?


Solution 1:

I myself have been doing lots of research and reading numerous reviews and descriptions on which books are best to improve one's problem-solving skills, so I feel that I should share the outcome of the hours I spent searching the web with others (note: These are not my reviews, I still have NOT purchased any of these books or read them)

  • The Art and Craft of Problem Solving by Paul Zaitz: high school level
  • The Art of Problem Solving, Volume 1:The Basics (7th edition on Amazon): middle school competitions(also prepares for high school)-high school students. GOOD OPTION TO CONSIDER

  • Solving Mathematical Problems by Tao: aimed to 14-15yrs audience. A comment said it's not enough for a training curriculum for high-level math competitions. Another comment said its a very very bad option & not to be considered. Many highly recommended it.

  • A Mathematical Mosaic: Patterns & Problem Solving: "seventh- and eighth- grade students can handle yet high school students will find challenging." It seems not like a textbook or a solid curriculum, not the best as a reference.

  • Problem-Solving through Problems: I feel it's for Putnam exams and upper high school level, it seems a great, organized book. Highly recommended by many.

  • Mathematical Olympiad Challenges, Second Edition: seems for up-to-calculus students, very great, organized, and great results of acquiring methods and techniques.

  • Mathematical Discovery: high-school, college students one review said "read over several years"
  • Problem-Solving Strategies In Mathematics: From Common Approaches To Exemplary Strategies: seems like a very good stepping stone, I would advise buying it, solving it, and then solving another harder book. I guess that would be a nearly perfect option to consider.
  • Introduction to Algebra--Introduction to Geometry: good for middle school level(even maybe not that progressive) Not only word problems, a drawback: just algebra/geometry
  • How To Solve It: not sure about the age it's aimed to, but I guess it is great for high-school and college students.It seems general without enough practice but is definitely a classic. OPTION TO PROBABLY CONSIDER WITH A PRACTICE BOOK

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