Originally published in 1972, The Theoretical Side of Calculus is a comprehensive, yet concise, overview of the fundamental concepts that post-secondary calculus classes are built upon.
Colin Clark’s examples are powerful in establishing concepts of proof and numerical evaluations that transition through each topic. Theorems are clearly marked, helping identify the necessary concepts. Exercises are found at the end of each chapter, allowing readers to reinforce and challenge their knowledge. Clark provides appendices on Logic and Mathematical Induction, further emphasizing the soft skills essential to calculus.
I was lucky to find a copy of this book in the library. It is a desirable resource for any aspiring mathematician, but out-of-print as far as I can tell.