Everymind's Euclid III & IV
These books of Euclid bring the earlier propositions to bear on the circle
and greatly expand the applicability of pure geometry to representations of
objects and processes in the world. And continued study of Euclid is always
an expansion of one's ability to solve problems and substantiate the results.
Everymind's Euclid V & VI
These books are the real power of Euclid. Mastery of these allowed Newton
to prove the theorems of his Principia using pure geometry instead of analysis.
Book V provides an arithmetic of comparison, obviating the need for number.
And Book VI shows the power of this calculus of relations when applied to the
objects of pure geometry.
Everymind's De Morgan's Elements: Algebra
This section of the text
builds upon the Elements of Arithmetic, which itself provides so much
algebra that what we consider high school algebra is almost completely covered
in the introduction here. It includes the theory of first- and second-degree equations,
convergence and divergence of infinite series and the use of the binomial theorem.
And the focus is always on understanding.
Elements of Analytical Geometry
This very clear and direct text relates Euclid to the geometric representations
of first- and second-degree equations, which shows the power of combining
algebra with geometry. The author uses Euclid to establish almost every theorem or
proposition in the book. And this shows the student something of the ever-presence
of Euclid throughout mathematics.
The Manufacture of Historical Material
This text, by the author of The First Twelve Centuries, is a study of
how history is portrayed by historians. It shows how bias, error, and other
factors must always enter into any historical text.
The Idea of Progress
This text examines the validity of and the reasons for our culture's
belief in monotonically increasing progress. It gives the student several further
standpoints from which to judge the quality of any history one is presented with.
Walden is probably the most widely read American book in the world.
Its influence pops up everywhere in the most surprising places. It is
certainly one of the greatest and most good-hearted expressions of individuality
and originality ever written.
Comments on the Society of the Spectacle
Society of the Spectacle
Debord was probably the most perceptive social critic of the 20th century or,
at least, he was running neck and neck with Ivan Illich. His earlier work from the 1960s
almost completely predicted the form the culture of the Internet would take.
Like Iliich, almost everything he said would come true has happened. His
ideas and style are extremely original and supply more than enough fuel for
a semester's study and research.
The Three Musketeers
The first two books are examined, one per semester, in the manner of the
earlier video works, allowing us to concentrate on the powers of the written
form. Kim provides a text for the student to analyze twice, once in each
semester, in order to deepen his or her understanding.
Salt's Life of Thoreau
This text, paired with Walden, is used, not only to understand Thoreau,
but as a springboard for understanding America in the 19th century. Thoreau
becomes the focal point for understanding how America chose or did not choose
how to develop as it worked its way to the 20th century.