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Download Basic Geometry - Manual for Teachers fb2, epub

by George David Birkhoff,Ralph Beatley

Download Basic Geometry - Manual for Teachers fb2, epub

ISBN: 0821826921
Author: George David Birkhoff,Ralph Beatley
Language: English
Publisher: American Mathematical Society (2000)
Pages: 160
Category: Programming
Subcategory: IT
Rating: 4.9
Votes: 620
Size Fb2: 1627 kb
Size ePub: 1806 kb
Size Djvu: 1765 kb
Other formats: lit txt rtf doc


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George David Birkhoff; Ralph Beatley. AMS Chelsea Publishing: An Imprint of the American Mathematical Society. Basic Geometry: Manual for Teachers. Base Product Code Keyword List: chel; CHEL; chel/34; CHEL/34; chel-34; CHEL-34. Print Product Code: CHEL/34. Title (HTML): Basic Geometry: Manual for Teachers. Author(s) (Product display): George David Birkhoff; Ralph Beatley. Affiliation(s) (HTML): Imprint Blurb: AMS Chelsea Publishing: An Imprint of the American Mathematical Society. Book Series Name: AMS Chelsea Publishing. Volume: 34. Publication Month and Year: 2000-08-30.

George David Birkhoff, Ralph Beatley - Basic geometry: Manual for teachers. Jerry Mander, George Dippel, Howard Gossage - The Great International Paper Airplane Book.

by. Birkhoff, George David.

by George David Birkhoff, Ralph Beatley. Find signed collectible books: 'Basic Geometry - Manual for Teachers'. ISBN 9780821826928 (978-0-8218-2692-8) Softcover, American Mathematical Society, 2000. Basic Geometry (AMS Chelsea Publishing). by George D. Birkhoff, Ralph Beatley. ISBN 9780821821015 (978-0-8218-2101-5) Hardcover, Amer Mathematical Society, 1999.

George D. A highly recommended high-school text by two eminent scholars show more.

Comments:

VizoRRR
Birkhoff has attempted to create a basic geometry textbook which will do for the modern English reader what Euclid did for thousands of brilliant scholars throughout history: transmit an intricate and towering edifice of thought, built piece by piece from only clear and unassailable logic, through the demonstration of that construction...

...and, thereby, not only show -- through insight --
the beauty of the whole, but also impart the understanding *and habit* of logical thought.

This experience -- of finding clarity and sense and firm footing in a mist of the trivial and abstract -- has been written of in glowing terms by what seems to be nearly every great mathematician who wrote at all! I've wanted to follow in those footsteps, but Euclid in the original is... well... not optimized for the instruction of the novice, we might say.

Birkhoff's book, though, is -- or else certainly makes an effort at it. It starts with four axioms, and all else is built from that in a clear, logical progression -- just as you'd hope.

These are not the normal axioms and progressions you'd find in a basic geometry textbook, but rather an alternative set devised by Birkhoff. They are just as valid, and Birkhoff makes a convincing case that this way results in more intuitive instruction -- less to memorize, fewer edge cases -- and that there is no difficulty in switching to classes or texts based on the more common axioms; but this might still be a relevant concern for certain users.

My only reason for subtracting a star is that there is a bit too much of the "fluffy example" -- e.g. a long story about an imaginary baseball game just to introduce a simple concept -- and that the book does not include answers for any problems (I believe).

That said, there is an Instructor's Edition available. Ultimately, this was my favorite of all the geometry texts I tried, and it remains my first recommendation.
Gnng
I'm currently working through it, and am finding it really good. The approach is to present geometry as an ideal axiomatic system and show how all statements flow logically from others. Although all books on geometry are supposed to do this, it's not always presented as clearly as it should be.

I feel I'm getting what I need from this book. The other book I tried was the Jurgenson text, which is a standard high school textbook, but I found it to be somewhat childish and unfocused. This book is written in a more mature and serious style, and gets right down to it. Although I'm not that far into it yet, so far it seems very good for someone interested in introducing themselves to the logically systematic groundwork of mathematics, geometry, or, as in my case, both.

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