The Thirteen Books of Euclid's Elements
This book is good, and people with cerebral cortexes know that.
For reference, one person who gave it one star gave Allan Moore's "Watchmen" "graphic novel" (read: comic book) 4 stars.
. . .
If this book is not perfection, I am not sure what perfection entails.
The Elements is one of the ten most important, if not best, books ever written. There is no better course in deductive logic, much less geometry. ...more
This is a statement I believe more strongly as I experience more of Euclid's propositions for myself. Before encountering Euclid, I had never considered mathematics to be something beautiful. Now, however, the sheer logical clarity with which Euclid attempts to grapple with the principles of the world around him actually brings tears to my eyes. From how he uses the idea of equality as a foundation for everything else to how he p ...more
Not much is known about Euclid, other than that he must have been an unparalleled genius. Nothing about his personality can be gleaned from this book either, other than that he wa ...more
Euclid invites the modern reader to rethink what a book is, and how we might have related to math differently as a child in school if The Elements had been our textbooks. What are the elements that the title refers to? What are the complexes that the elements make up?
You cannot just read this book, I would suggest demonstrating the proofs one by one on a board in front of peers, then discussing each one.
I have read a lot of books, this book is the most in ...more
Euclid's Elements is the foundation of geometry and number theory. There is no long-winded explanation; instead, from a set of 23 definitions, 5 postulates, and 5 common notions, Euclid lays out 13 books of geometrical proofs. In each proof, he asserts a mathematical truth or asserts that a geometrical construction i ...more
Often called the Father of Geometry, Euclid was a Greek mathematician living during the reign of Ptolemy I around 300 BC. Within his foundational textbook "Elements," Euclid presents the results of earlier mathematicians and includes many of his own theories in a systematic, concise book that utilized meticulous proofs and a brief set of axioms to solidify his deductions. In addition to its easily referenced geometry, "Elements" also includes number theory and other mathematical considerations....more
This edition of Euclid’s Elements presents the definitive Greek text—i.e., that edited by J.L. Heiberg (1883–1885)—accompanied by a modern English translation, as well as a Greek-English lexicon. Neither the spurious books 14 and 15, nor the extensive scholia which have been added to the Elements...
The only supplement I needed whose need derived from the presentation was for Book XIII, Number 16, where several on-line sources have color-coding adding helpfully to the complex schematic.
It hits both my analytical need to have all Euclid's statements in one place, my historical curiosity to see how it was initially devised such a seminal work, and my sciwntifi curiosity to understand it all.
It's like reading the manuscript of Bach's "Art of the fugue" a ...more
The answer: I am not really sure.
I've heard that this book is the equivalent of reading Hegel in how truly difficult it is. The original greek text of this was lost and we only have access to the Arabic version. The elements was written in the early 3rd century BC during the reign of the first Ptolemy and Euclid's work was the first major addition to then newly established library of Alexandria.
I really want to read Ptolemy( the astrologer this time), but I need to r ...more
Seriously. Never in my wildest dreams. Long live Shimer College.