Problems for Mathematicians, Young and Old (Dolciani Mathematical Expositions)
|Rating||:||4.99 (950 Votes)|
|Number of Pages||:||318 Pages|
A truly exceptional book I should preface my review by saying this is the first item I've ever reviewed on Amazon, and I've been buying from Amazon for 10 years. I felt I had to write this review as a counterpoint to an earlier negative review given to this book.Not only are the problems in this book very interesting to work on, they also illustrate key points in algebra, calculus, set theory, etc. I would say that successfully completing the problems in this book would give you mathematical expertise comparable to that. Theseus said An Inviting, Varied, and Masterful Piece of Work. Apparently, after a long career as a mathematician, Halmos sat down, gathered together the problems he had been accumulating for years in various forms and assembled them into this book. The result is an interesting and peripatetic piece of work -- well-edited, well-composed, and fun. Some of this stuff requires the facility which only comes via an advanced degree and math. Other problems can be tackled by high school students.. sublime problems although some are sophisticated Erik Lundberg I would put this book above the puzzle books by Martin Gardner. The problems range in prerequisite knowledge from none required (brain teasers and logic puzzles) to undergraduate degree in mathematics (topology, calculus). I especially recommend it for someone who likes good brain teasers (like the three light switches puzzle) but also knows some complicated math.
Halmos. Book by Paul R