Basic Mathematics Serge Lang Jun 2026

The first section revisits the foundation of high school algebra, but with a focus on structure. Lang covers:

For a student used to "plug and chug," Chapter 1 is a shock. Lang starts with the laws of arithmetic (commutativity, associativity, distributivity) as if you are in a logic class. Many readers put the book down here, thinking, "I already know how to add. Why is he making this complicated?" They fail to realize that Lang is constructing the mental scaffolding for calculus. Basic Mathematics Serge Lang

Does the idea of proving that $(-a)(-b) = ab$ excite you rather than bore you? The first section revisits the foundation of high

: The book "pulls no punches." Even early exercises (like modulo arithmetic in Chapter 1) can be significantly more difficult than standard curriculum problems. Many readers put the book down here, thinking,

Lang is the main course, but you need side dishes.