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Title: 100 Great Problems of Elementary Mathematics: Their History and Solution by Heinrich Dorrie ISBN: 0-486-61348-8 Publisher: Dover Publications Pub. Date: 01 February, 1965 Format: Paperback Volumes: 1 List Price(USD): $12.95 |
Average Customer Rating: 4.4 (5 reviews)
Rating: 5
Summary: 100 Mathematical Triumphs of Genius
Comment: 100 Great Problems of Elementary Mathematics is such a goldmine of ingenuity that it is hard to comprehend how it could be sold for so low a price. Ten dollars is practically a steal.
This publication, which was translated into English back in 1965, is a concise summary of some of the greatest works of mathematics throughout mankind's history. The problems contained are quite challenging. Many are such that if you understood any one of them, then you would probably know something that even the best math professor nearest you would not. This may sound like an overstatement, but in a day and age where some PhD's in math have either forgotten or never really learned how to determine so little as the square root of a number by just pencil and paper, it is probably not.
It is from analyzing the book's passages of Bernoulli's Power Sum Problem that I was able to achieve a great mathematical triumph after discovering the following challenge found in William Dunham's The Mathematical Universe: determining a precise mathematical formula to figure out how Jakob Bernoulli could take all the positive integers from 1 to 1000, raise each of them to the tenth power, and then add them up to where the sum came up to over 30 digits! I tried to develop algorithms that would work but failed each time, until I, once again, read this volume.
The situations presented are quite difficult to grasp, but once you get to where you know how to apply any one of them in solving mathematical puzzles, you feel elated. I know I did.
For the individual who enjoys looking at mathematics in a historical context and who wants to approach problems that are perhaps not entirely solvable with the use of the calculator and/or the computer, I recommend this book.
Rating: 5
Summary: best summary of classic problem solutions by masters
Comment: Elementary algebra and ingenius ideas are combined to solve some of the most difficult problems in the history of math.This book helped me solve several difficult technical problems .
The concise treatment and cross reference to other solutions is outstanding . This is the finest treatment of advanced mathematical treatments I have ever seen. First published in 1932, it represents the best from the masters and can be used to discover tricks which were helpful to me in algorithm development . The treatment of astronomical problems alone is worth the price .
Rating: 5
Summary: The best book about elementary problems I have read till now
Comment: Perhaps the stress given to geometry gives evidence to the age of the book, but it still represents an example of how a collection of problems should be written. It is too entangled with mathematics to be defined an issue about mathematical games, but also fans of games can find out some enjoying items. Because, if much room has been given to proofs and resolutions, the boundary of elementary curiosity never goes out of sight, even if it can sometimes look like a far horizon. It is surely the best book about elementary problems, mathematical games and jokes I have ever read till now, and I have found its language as clear and straight as a non-English reader (like me) usually finds a non-English writer.
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Title: Famous Problems of Geometry and How to Solve Them by Benjamin Bold ISBN: 0486242978 Publisher: Dover Publications Pub. Date: 01 June, 1982 List Price(USD): $6.95 |
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Title: Challenging Problems in Algebra by Alfred S. Posamentier, Charles T. Salkind ISBN: 0486691489 Publisher: Dover Publications Pub. Date: 01 May, 1996 List Price(USD): $11.95 |
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Title: Challenging Mathematical Problems With Elementary Solutions, Vol. 1 by A.M. Yaglom, I.M. Yaglom ISBN: 0486655369 Publisher: Dover Publications Pub. Date: 01 December, 1987 List Price(USD): $12.95 |
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Title: Challenging Problems in Geometry by Alfred S. Posamentier, Charles T. Salkind ISBN: 0486691543 Publisher: Dover Publications Pub. Date: 01 June, 1996 List Price(USD): $12.95 |
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Title: Fifty Challenging Problems in Probability With Solutions by Frederick Mosteller ISBN: 0486653552 Publisher: Dover Publications Pub. Date: 01 October, 1987 List Price(USD): $6.95 |
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