This three-part treatment on mathematical knowledge needed by teachers was a pathbreaking book published by the German mathematician Felix Klein between 1924 and 1928 and it is still as relevant as it was 90 years ago. The books pulse with the excitement of the actual lectures they came from and combine geometric intuition with the precision of arithmetic formulas in an inspiring way.

The third volume starts with the natural progression from single-variable calculus to multivariante calculus and multilinear algebra. The second half of the book examines the geometry of plane curves and...