A perennial bestseller by eminent mathematician G. Polya, "How to Solve It" will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out - from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft - indeed, brilliant - instructions on stripping away irrelevancies and going straight to the heart of the problem. In this best-selling classic, George Polya revealed how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out - from building a bridge to winning a game of anagrams.Generations of readers have relished Polya's deft instructions on stripping away irrelevancies and going straight to the heart of a problem. "How to Solve It" popularized heuristics, the art and science of discovery and invention. It has been in print continuously since 1945 and has been translated into twenty-three different languages. Polya was one of the most influential mathematicians of the twentieth century. He made important contributions to a great variety of mathematical research: from complex analysis to mathematical physics, number theory, probability, geometry, astronomy, and combinatorics. He was also an extraordinary teacher - he taught until he was ninety - and maintained a strong interest in pedagogical matters throughout his long career.In addition to "How to Solve It", he published a two-volume work on the topic of problem solving, "Mathematics of Plausible Reasoning", also with Princeton. Polya is one of the most frequently quoted mathematicians, and the following statements from "How to Solve It" make clear why: "My method to overcome a difficulty is to go around it." "Geometry is the science of correct reasoning on incorrect figures." "In order to solve this differential equation you look at it till a solution occurs to you."
How to Solve It
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Every prospective teacher should read it. In particular, graduate students will find it invaluable. The traditional mathematics professor who reads a paper before one of the Mathematical Societies might also learn something from the book: 'He writes a, he says b, he means c; but it should be d.' -- E. T. Bell, Mathematical Monthly [This] elementary textbook on heuristic reasoning, shows anew how keen its author is on questions of method and the formulation of methodological principles. Exposition and illustrative material are of a disarmingly elementary character, but very carefully thought out and selected. -- Herman Weyl, Mathematical Review I recommend it highly to any person who is seriously interested in finding out methods of solving problems, and who does not object to being entertained while he does it. -- Scientific Monthly Any young person seeking a career in the sciences would do well to ponder this important contribution to the teacher's art. -- A. C. Schaeffer, American Journal of Psychology Every mathematics student should experience and live this book -- Mathematics Magazine
Synopsis
A perennial bestseller by eminent mathematician G. Polya, "How to Solve It" will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out - from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft - indeed, brilliant - instructions on stripping away irrelevancies and going straight to the heart of the problem. In this best-selling classic, George Polya revealed how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out - from building a bridge to winning a game of anagrams.Generations of readers have relished Polya's deft instructions on stripping away irrelevancies and going straight to the heart of a problem. "How to Solve It" popularized heuristics, the art and science of discovery and invention. It has been in print continuously since 1945 and has been translated into twenty-three different languages.Polya was one of the most influential mathematicians of the twentieth century. He made important contributions to a great variety of mathematical research: from complex analysis to mathematical physics, number theory, probability, geometry, astronomy, and combinatorics. He was also an extraordinary teacher - he taught until he was ninety - and maintained a strong interest in pedagogical matters throughout his long career.In addition to "How to Solve It", he published a two-volume work on the topic of problem solving, "Mathematics of Plausible Reasoning", also with Princeton. Polya is one of the most frequently quoted mathematicians, and the following statements from "How to Solve It" make clear why: "My method to overcome a difficulty is to go around it." "Geometry is the science of correct reasoning on incorrect figures." "In order to solve this differential equation you look at it till a solution occurs to you."
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Von Ein Kunde
Format:Taschenbuch
Polya's brilliante Anleitung zum Lösen mathematischer Probleme vermittelt auch dem Laien ein überaus stimmiges und nützliches Bild vom täglichen Brot des Mathematikers. Gerade indem sie keine unfehlbare Beweismethode liefert, die einfach ohne kreativ nachdenken zu müssen nur abgearbeitet werden muss, sondern den intuitiven Aspekt mathematischen Denkens betont, vermittelt sie viel von der Schönheit eleganter Lösungen. Anders als beispielsweise ein Ingenieur ist der Mathematiker nicht zufrieden, sobald ein bestimmtes Problem irgendwie gelöst ist, sondern meist beginnt hier erst der interessante Teil der Arbeit: Kann die Lösung noch vereinfacht werden oder gar bei der Lösung anderer, verwandter Probleme helfen? Oft werden ganze Zweige der Mathematik geschaffen, um ein bestimmtes Problem wie z.B. die kürzlich bewiesene Fermat'sche Vermutung anzugehen. Polya's Büchlein hat auch ganz konkreten Nutzen: Wer seinen Kindern, Schülern oder Studenten einfache oder schwere Mathematik beibringen will, tut gut daran, sich mit Polya in den Prozess der Lösungsfindung einzufühlen statt fertige Lösungen zu präsentieren. (Dies ist eine Amazon.de an der Uni-Studentenrezension.)
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i must say that this is one of the most interesting books i've ever read. it is a must for teachers of mathematics and the sciences. polya exposes with an unmatched wit and cunning the art of breaking it down and analyzing parts of parts in order to arrive at a reliable and justifiable solution.
polya is the quintessential teacher and this teacher finds his writings both compelling as well as inspiring. this is NOT the last book by this great mathematician that i plan to read.
a word of advice for teachers: read it and REREAD it until you get the point. the teaching of mathematics is not a mere monkey-see-monkey-do regurgitation process. rather, it is the art of conveying to the student the problem-solving process. once the student has mastered this talent, the sky's the limit. and speaking of limits, the sky may just be a gross underexaggeration.
LOVE IT! got to say again, "BUY THE BOOK!" and this goes doubly for TEACHERS!
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Von Bill Butler
Format:Taschenbuch
In fact, do you want to be a robot? I talked to a woman who took a whole semester in computer science and came out learning nothing. She told me this. My love affair with Real Math started with this book in a library. I was reading a book which had a bunch of interviews with the most successful programmers in the world. One was Czech and I do not remember his name. But he was asked the following question. "What in your opinion is the biggest mistake that programmers are doing in their educations or their work today?" He answered, "It's simple. They don't know how to solve problems. At our company, we have some simple books that tell you how to do this. The best is Polya's 'How to Solve It'. It has a little diagram in the back that completely runs you through a series of questions on solving math problems. But even in schools, they don't take this approach. Everything is by rote and repetition! You solve a problem and YOU DON'T KNOW WHAT YOU SOLVED! We have a lot of these little books." The late Isaac Asimov wrote a beautiful little book called "The Realm of Algebra". It's out of print. But he explains the entire realm of algebra in something like 150 pages. The best book I've ever seen about math. Math can be fun. Programming can be fun. But only if you ask Polya's questions in the back of this book. "What do I have to do to make this problem complete?" "What is missing from this problem?" "What could I add to make this problem solved?" A two page diagram in the back. And everybody knows that programming is just "crummy mathematics". BUY THE BOOK! BUY THE BOOK! BUY THE BOOK!. 2 pages in the end of this book and at least 50% of your math/programming problems are down the drain. Buy the books for your son if you are a Betty Crocker. Or your daughter. Or they will end up in the "Valley of the Dead". Solving problems in school for years and years and simply not knowing what they did! Good luck. Oh yes. One last thing. BUY THE BOOK!
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An algorithm to generate solutions
"Schule des Denkens" means school of thought. The title of the original manuscript reveals the motivation for this book: to teach better. Lesen Sie weiter...
Veröffentlicht am 10. April 2011 von Roland
4.0 von 5 Sternen
Great for its time -- a classic
This is a really good book about how to teach and how to think about problems that need to be solved with paper and pencil. Lesen Sie weiter...
Veröffentlicht am 22. Oktober 1999 von "booksellercalifornia"
5.0 von 5 Sternen
Useful in many areas
I used the techniques in How to Solve It to find my latest job. It's an approach to attacking tough questions that should be useful well beyond the mathematical arena.
Am 28. April 1999 veröffentlicht
5.0 von 5 Sternen
A feast!
This is a book on problem solving, in its widest meaning, though mathematics dominates, given the author's education. It's a feast! Lesen Sie weiter...
Veröffentlicht am 24. Juli 1998 von henrique fleming
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