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How the Other Half Thinks: Adventures in…
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How the Other Half Thinks: Adventures in Mathematical Reasoning (utgåvan 2001)

av Sherman K. Stein (Författare)

MedlemmarRecensionerPopularitetGenomsnittligt betygOmnämnanden
593441,436 (3.3)2
Maths enthusiasts aren't necessarily the number-crunching geeks we tend to assume. In fact, they know that maths is about much more than numbers; it is a profoundly philosophical endeavour, as well as a stimulating mental exercise. In How the Other Half Thinks, Sherman Stein emphasizes the creative elements of mathematics by exploring some significant mathematical discoveries through simple, intuitive manipulations. With an ingenious technique that uses no algebra or trigonometry, and only a minimum of arithmetic, Stein takes us through the thought process behind some of math's great discoveries and applications. Each chapter begins with a simple question about strings made up of the letters a and b, which leads to other, more profound questions. Along the way, we become familiar with concepts from such fields as topology and probability, and learn how they have led to applications such as codes and radar, computing and even baseball statistics. Recreational and instructive, How the Other Half Thinks should appeal to die-hard maths enthusiasts (of which there are many) as well as those right-brainers who are looking for a way to understand and enjoy maths.… (mer)
Medlem:ktkeith
Titel:How the Other Half Thinks: Adventures in Mathematical Reasoning
Författare:Sherman K. Stein (Författare)
Info:McGraw-Hill Companies (2001), Edition: 1st, 177 pages
Samlingar:Ditt bibliotek, Writing Projects - Neanderthals, Philosophy - General, Science - General
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Taggar:ZZZ

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How the Other Half Thinks: Adventures in Mathematical Reasoning av Sherman K. Stein

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I found the content interesting, especially the chapter on Buffon's needle. I think that a person who is just *starting* to learn about logical reasoning might find this book very useful. ( )
  hafsteinn | Feb 2, 2021 |
This book would make a fantastic middle school gifted and talented textbook. I'm thinking a summer enrichment class. Each class or two, cover one of the 8 chapters, having the students do the "experiments" individually and in small groups to get a good understanding of the central question, then talking through the proof together, prompting the students to figure it out for themselves, and then sending them home to read the proofs and solidify their understanding of mathematical reasoning (and how straightforward and unscary proofs are). Perfect.

Outside that application, I don't see much point for this book. It purports to explain some basic points in mathematics to people who never got beyond high school math, but I don't see that that audience would be interested in the book. There aren't very many explanations of "and this is actually relevant because" -- though I'm sure the author thought he was putting them in, they fit very much a mathematician's idea of applications, not a lay person's. For anyone who has been exposed to some math since high school, it's review, and not particularly entertaining review at that. And that is why it needs a teacher and a junior high school audience. A good teacher can make the material come alive to students who don't know yet that math is beautiful or that there are multiple sizes of infinity. Bang, a five star class with a perfect textbook. ( )
  pammab | May 12, 2012 |
Hand-holding analysis of some problems involving symbol strings. For people who need rescuing from ignorance of or fear of mathematics.
  fpagan | Dec 28, 2006 |
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Occasionally, in some difficult musical compositions there are beautiful, but easy parts -- parts so simple a beginner could play them. So it is with mathematics as well.
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Maths enthusiasts aren't necessarily the number-crunching geeks we tend to assume. In fact, they know that maths is about much more than numbers; it is a profoundly philosophical endeavour, as well as a stimulating mental exercise. In How the Other Half Thinks, Sherman Stein emphasizes the creative elements of mathematics by exploring some significant mathematical discoveries through simple, intuitive manipulations. With an ingenious technique that uses no algebra or trigonometry, and only a minimum of arithmetic, Stein takes us through the thought process behind some of math's great discoveries and applications. Each chapter begins with a simple question about strings made up of the letters a and b, which leads to other, more profound questions. Along the way, we become familiar with concepts from such fields as topology and probability, and learn how they have led to applications such as codes and radar, computing and even baseball statistics. Recreational and instructive, How the Other Half Thinks should appeal to die-hard maths enthusiasts (of which there are many) as well as those right-brainers who are looking for a way to understand and enjoy maths.

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