The Thirteen Books Of Euclid's Elements, Tr. From The Text Of Heiberg, Volume 3...

The Elements #3

by Euclid (Creator)

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The Thirteen Books Of Euclid's Elements, Tr. From The Text Of Heiberg, Volume 3; The Thirteen Books Of Euclid's Elements, Tr. From The Text Of Heiberg; Johan Ludvig Heiberg

Euclid, Johan Ludvig Heiberg

Sir Thomas Little Heath

The University press, 1908

Mathematics, Greek

Genres: Mathematics, Science, Reference, Classics, Nonfiction, Philosophy, Geometry

570 pages, Paperback

First published June 1, 1956

About the author

Euclid (Ancient Greek: Εὐκλείδης Eukleidēs -- "Good Glory", ca. 365-275 BC) also known as Euclid of Alexandria, was a Greek mathematician, often referred to as the "Father of Geometry". He was active in Alexandria during the reign of Ptolemy I (323–283 BC). His Stoicheia (Elements) is a 13-volume exploration all corners of mathematics, based on the works of, inter alia, Aristotle, Eudoxus of Cnidus, Plato, Pythagoras. It is one of the most influential works in the history of mathematics, presenting the mathematical theorems and problems with great clarity, and showing their solutions concisely and logically. Thus, it came to serve as the main textbook for teaching mathematics (especially geometry) from the time of its publication until the late 19th or early 20th century. In the Elements, Euclid deduced the principles of what is now called Euclidean geometry from a small set of axioms. Euclid also wrote works on perspective, conic sections, spherical geometry, number theory and rigor. He is sometimes credited with one original theory, a method of exhaustion through which the area of a circle and volume of a sphere can be calculated, but he left a much greater mark as a teacher.

Reviews

[Aleksandar Janjic · Rating 5 out of 5]

Важи исто што и за први дио, па да се не понављам.

[Trey Kennedy · Rating 5 out of 5]

The epic conclusion to an amazing work of mathematics.

[Paul · Rating 4 out of 5]

This may well be a 5-star book, but I'm afraid I lack the competence to say!

I got this book to help me make my way through Euclid's Elements as part of my long journey through the Britannica Great Books of the Western World. I was hoping for a kind of "Euclid for Dummies," but what I got was more "Euclid for Mathematicians." The author, Thomas Heath, goes over every proposition from the originals, commenting on the approach of the proof in each case and recasting it in more modern, algebraic symbols. He points out the few proofs which appear to be later interpolations, and adds proofs by later mathematicians that improve on Euclid's originals.

It's a whole mathematical universe. As Euclid himself is reported to have said, "There is no royal road to geometry." To understand the contents of this book fully, never mind the whole of the Elements, would take years of applied study.

I can say this: Heath's treatment of Euclid's Elements is thorough and complete. If you took the time to work your way through this book (I scanned each page, but gave up trying to follow each proof in detail), you would gain an intimate knowledge of mathematics as Euclid taught it. And that would be no small achievement.

[Blakely · Rating 3 out of 5]

There are some very scary shapes towards the end....