Showing posts with label geometry. Show all posts
Showing posts with label geometry. Show all posts

The Thirteen Books of the Elements, Vol. 1: Books 1-2 Review

The Thirteen Books of the Elements, Vol. 1: Books 1-2
Average Reviews:

(More customer reviews)
At the time of this writing, the sales summary points out "Vol. 1", but it does not point out that it is "Volume 1 of 3". Volume 1 provides a historical summary of work that followed _Elements_, along with a detailed translation of Book I and Book II. Heath includes bracketed references to justify each critical step of each proof. The text surrounding each Euclidean statement is detailed, but often very lengthy; at times, this detracts from the reading of the _Elements_ itself. This set is for the scholar of the history of _Elements_, and not the best source for a first-time reading of Euclid. Even with these minor quibbles, however, my copy of Volume I is a well-worn, beloved volume with frequently-annotated margins. All of the major "players" in the development of Geometry are detailed within, as well as their contributions.
I recommend it highly for any scholar that wishes to understand _Elements_ thoroughly, through a close reading of a detailed text.

Click Here to see more reviews about: The Thirteen Books of the Elements, Vol. 1: Books 1-2

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.

Buy Now

Click here for more information about The Thirteen Books of the Elements, Vol. 1: Books 1-2

Read More...

A Beginner's Guide to Constructing the Universe: Mathematical Archetypes of Nature, Art, and Science Review

A Beginner's Guide to Constructing the Universe: Mathematical Archetypes of Nature, Art, and Science
Average Reviews:

(More customer reviews)
This is a very well written book that relates some basic concepts in geometry to science, architecture and life. Each of the ten chapters is about a geometric shape and Mr. Schneider shows how to construct it using only compass and straight-edge. The author begins every construction from a circle, and every line is shown as the intersection of two or more circles. This is consistent with his assertion in Chapter One that the circle is Unity, but I believe it is also more accurate geometrically.
Mr. Schneider gets into the Platonic Solids, explains the golden section and its use in architecture and nature, shows the regularity in nature and a lot more. This is a very educational book that covers a lot of ground, and does so in an entertaining way.
What I really like about the book is the author's ability to bring geometry to life. There are many diagrams, drawings and pictures which make it easy to follow the text.
The book is written for the layman, not the mathematician. If you are looking for a more rigorous introduction to geometry, try reading H.M.S. Coxeter (if you can!).
This book would be a nice companion to "The Power of Limits" by Doczi, 'The Geometry of Art and Life" by Ghyka, and "The Divine Proportion" by Huntley.
If I had to recommend only one book about geometry for the average reader, this book would be my first choice.

Click Here to see more reviews about: A Beginner's Guide to Constructing the Universe: Mathematical Archetypes of Nature, Art, and Science



Buy Now

Click here for more information about A Beginner's Guide to Constructing the Universe: Mathematical Archetypes of Nature, Art, and Science

Read More...