The Method of Coordinates

The need for improved mathematics education at the high school and
college levels has never been more apparent than in the 1990s. As
early as the 1960s, I. M. Gel'fand and his colleagues in the USSR
thought hard about this same question and developed a style for
presenting basic mathematics in a clear and simple form that engaged
the curiosity and intellectual interest of thousands of high school
and college students. These same ideas, this same content, unchanged
by over thirty years of experience and mathematical development, are
available in the present books to any student who is willing to read,
to be stimulated and to learn.
"The Method of Coordinates" is a way of transferring geometric images
into formulas, a method for describing pictures by numbers and letters
denoting constants and variables. It is fundamental to the study of
calculus and other mathematical topics. Teachers of mathematics will
find here a fresh understanding of the subject and a valuable path to
the training of students in mathematical concepts and skills.