Calculus done right – a rigorous introduction to differential calculus

Summary: This resource offers a mathematically rigorous introduction to differential calculus, emphasizing differentials and linear maps early to clarify the concept of derivatives. It is part of a planned sequence covering core undergraduate mathematics and is updated frequently.

What it does

It presents differential calculus with a focus on rigorous mathematics, prioritizing differentials and linear maps before multivariable topics to improve conceptual understanding.

Who it's for

Students and learners seeking a rigorous, concept-focused approach to undergraduate differential calculus.

Why it matters

It addresses the gap in traditional calculus teaching by explaining the underlying concepts rather than just computational methods.