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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 first volume begins with topics associated with arithmetic, including calculating with natural numbers, the first extension of the notion of numbers, special properties of integers, and complex...

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...

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 second volume begins with an analysis of the simplest geometric manifolds such as line segments, and area and volume as relative magnitudes. The second section on geometric transformations examines...

The Theory of the Top: Volume II. Development of a Theory of the Heavy Symmetric Top is the second installment of a series of four self-contained English translations of the classic and definitive treatment of rigid body motion.

Key features:

* Complete and unabridged presentation with recent advances and additional notes

* Annotations by the translators provide insights into the nature of science and mathematics in the late 19th century

* Each volume interweaves theory and applications

The Theory of the Top was originally presented by...