e-Book The Square Root of 2: A Dialogue Concerning a Number and a Sequence download

by David Flannery

ISBN: 038720220X
ISBN13: 978-0387202204
Language: English
Publisher: Copernicus; 2006 edition (December 8, 2005)
Pages: 260
Category: Mathematics
Subategory: Math Science

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ePub size: 1864 kb
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Rating: 4.3
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Электронная книга "The Square Root of 2: A Dialogue Concerning a Number and a Sequence", David Flannery.

Электронная книга "The Square Root of 2: A Dialogue Concerning a Number and a Sequence", David Flannery. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "The Square Root of 2: A Dialogue Concerning a Number and a Sequence" для чтения в офлайн-режиме.

David Flannery’s book, The Square Root of 2, is the kind of book to recommend to a particularly bright high school senior, not to ignore a frosh in college. From page 1 through its conclusion, it is a masterful dialogue. From page 1 through its conclusion, it is a masterful dialogu. .Flannery seeks to arouse a cool passion for mathematics in his student. Flannery has woven an engaging dialogue from history and theory that offers the student insights into the thinking mind of the working mathematician. Barnabas Hughes, Covergence, April, 2006). The book is more about some mathematics pertaining to the square root of two.

Using no more than basic high school algebra and geometry, David Flannery manages to convey not just why v2 is fascinating and significant, but how the whole enterprise of mathematical thinking can be played out in a dialogue that is imaginative, intriguing, and engaging. Original and informative, The Square Root of 2 is a one-of-a-kind introduction to the pleasure and playful beauty of mathematical thinking.

Professor William Gasarch spoke to them about the square root of 2. What follows is an interpretation of their conversation. Professor Clyde Kruskal, who works in parallelism, has triplets: Alexander, Justin, and Rebecca Kruskal.

Download books for free Original and informative, The Square Root of 2 is .

Download books for free. Using no more than basic high school algebra and geometry, David Flannery manages to convey not just why v2 is fascinating and significant, but how the whole enterprise of mathematical thinking can be played out in a dialogue that is imaginative, intriguing, and engaging.

The Square Root of 2: A Dialogue Concerning a Number and a Sequence. Flannery has woven an engaging dialogue from history and theory that offers the student insights into the thinking mind of the working mathematician

The Square Root of 2: A Dialogue Concerning a Number and a Sequence. In my early days of teaching high school mathematics, I recommended Polya’s How to Solve It to a particularly bright senior. He also laid out a series of vignettes that a resourceful teacher might translate into discovery exercises.

Author: David Flannery. An elegantly dramatized and illustrated dialog on the square root of two and the whole concept of irrational numbers. ISBN 13: 978-0387202204. Page: 260. pdf. Download (UbiqFile). A Student’s Guide to Python for Physical Modeling.

An elegantly dramatized and illustrated dialog on the square root of two and the whole concept of irrational numbers.

Comments:

Yar

...This book, among probably all mathematics books I have, has a unique format - a professor/teacher dialogue with a motivated, learning pupil, as their repartee delves deeper into ever more exact approximations of the 2nd (?!?!) most famous irrational number from antiquity (pi probably being the most well-known?!). The sequences include continued fractions as well as ordinary fractions to depict the square root of 2, along with some strategically-placed drawings and diagrams. Some readers might find the format a bit
disconcerting at first, shifting from the teacher's/professors' points of view/experience/wisdom to the student's, then back again,
back and forth, much like a very sustained, stimulating, in-depth one-on-one conversation. The book's green cover and yellow binding help it stand out on the shelf, along with its austere "/2" symbol on binding. Highly recommended for a thorough exploration of that irrational number, which has been upstaged at times by pi, e, phi, and others.

Daigami

There have been plenty of mathematics books written about specific numbers, like pi, zero, e, the golden ratio, etc. All of these books typically go into a detailed the history of the number, give examples of where the number shows up, and how work with the number has affected the world. I bought this book because I was expecting it to show the square root of 2 along those same lines. Unfortunately, that wasn't the case at all.

This book is written in the form of a continuous dialogue between a teacher and student. Throughout the book, they play around with different equations and uncommon series related to the square root of two. They also not only tackle a few proofs of the number's irrationality, but discuss the nature of proof itself. The only real world examples they show are the diagonal of a square (and as usual this leads into some discussion of the ancient Greeks and the discovery of irrational numbers in general), and how the square root of 2 relates to the business standard A4 paper and why it was created (a great example that I wasn't aware of).

Again, this wasn't what I was expecting at all. But I'll give it 4 stars because it is a nice introduction to mathematical thinking, and how mathematicians go about examining and solving problems, and the reasoning behind the approaches.

Winasana

This is an excellent book for anyone interested in mathematical reasoning using the value of square root of 2 as a test case. The format is akin to a tutor-student (Socratic?) dialogue which makes the text quite interesting. Anyone with basic math skills can grasp it's contents. The text does require concentration to get the most out of it.

There are quite a few editing errors in this book which is a shame because it does take away from it's quality and disrupts one's train of thought. These errors were quite annoying after a while. Some of the errors are howlers (like the one on pi). All in all a good read.

Kadar

This book takes the form of a conversation between a wise and patient teacher and a curious former mathematics student. It begins by motivating the need for a number that is the square root of two and quickly works its way to the embarrassing (at least to the ancients) fact that one cannot find a rational number that is exactly the square root of two. There are many adventures connected with a sequence of rational numbers that approaches, but never quite reaches, the square root of two. The student is making many of the discoveries himself rather than being given the answers by the teacher. I would jump at any further mathematics books by this author.

Ochach

This book is somewhat curiously organized, in the form of a dialog between a Master, who is a mathematician well acquainted with the material, and a student, who is apparently someone who has had elementary algebra but is a little uncomfortable with it. By the device of dialog, a lot of mathematics is brought out, all concerned in some way with the square root of 2.

I found it pleasant to read, and recommend this book to anyone who is not so totally afraid of math that an equation scares them. You might learn some interesting math!

Jothris

Conversational treatment of interesting ideas. Effective. Pleasure to read.

Ok. Amazon tells me "11 more words required."

You'll probably be glad you read this book.