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Product Description
Volume 1 of 3-volume set containing complete English text of all 13 books of the Elements plus critical apparatus analyzing each definition, postulate, and proposition in great detail. Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; commentators; refutations, supports, extrapolations, reinterpretations and historical notes. Vol. 1 includes Introduction, Books 1-2: Triangles, rectangles.
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79 of 82 people found the following review helpful
Format:Paperback
Euclid begins by stating a few a definitions and logical rules. 'A line is a breathless length' and 'Things that are equal to the same thing are equal to each other'. The proofs that follow are simple and elegant. The second flowing from the first in a natural sequence. But this is no higgledy piggledy random wandering.
In the first book the author leads the reader to Pythagoras theorem. Just as every statement Euclid makes is essential to the proof, every proof is essential to the book's goal. The clarity and beauty of this book is something to behold
Heath's commentary is a very interesting complement. He provides alternative ancient and modern proofs as well as notes on the historical development of the mathematics.
A word of warning - this book took me about six months to read. I was unable to follow the book without following the proofs with a compass, ruler etc. However, if you are prepared to put in the time the rewards are considerable.
11 of 11 people found the following review helpful
Format:Paperback
This used to be the basis of the mathematical curriculum in schools for long-time. Fortunately this changed, because its format is *not* for educational purposes. Unfortunately, the only way aspiring mathematicians can get to know this work is to study it independently.
There are several renditions of this work on the web (on which is works very well, because you can design interactive diagrams that illustrate the concepts admirably) but there's nothing like holding the real thing in your hands.
This classic translation is more footnote and commentary than body (you don't actually see anything by Euclid himself until half way in), but that's probably the way it should be. Heath gathered up everything that had been written about Euclid's work, extracted the juice and presented it as the definitive Euclid experience. Yes, his style's clothy and arguably over-academic, but then this translation is a century old. Maybe it needs updating and made more street, nah-mean innit, nome sane? but don't let that put you off.
Geometry *can* be a tricky subject to get your head round, but don't let all the horror stories of your ancestors' sufferings in schools throughout the centuries make you think that geometry in itself is torture. You never know, you may discover some geometric theorems of your very own. I did.
Oh yes, and there's another two volumes of this - but these first two books, comprising this first volume, are undoubtedly the greatest books of mathematics ever written.
There are several renditions of this work on the web (on which is works very well, because you can design interactive diagrams that illustrate the concepts admirably) but there's nothing like holding the real thing in your hands.
This classic translation is more footnote and commentary than body (you don't actually see anything by Euclid himself until half way in), but that's probably the way it should be. Heath gathered up everything that had been written about Euclid's work, extracted the juice and presented it as the definitive Euclid experience. Yes, his style's clothy and arguably over-academic, but then this translation is a century old. Maybe it needs updating and made more street, nah-mean innit, nome sane? but don't let that put you off.
Geometry *can* be a tricky subject to get your head round, but don't let all the horror stories of your ancestors' sufferings in schools throughout the centuries make you think that geometry in itself is torture. You never know, you may discover some geometric theorems of your very own. I did.
Oh yes, and there's another two volumes of this - but these first two books, comprising this first volume, are undoubtedly the greatest books of mathematics ever written.
39 of 46 people found the following review helpful
Format:Paperback
This book is the foundation on which the mathematics is built. It is greatly enhanced by the translator's annotations. If you want to know what mathematics is all about, then you must have this book.
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