Calculus Without Limits (1981)

Hmm, I thought they had basically the same meaning! The premise of the book is to replace limits with the method of exhaustion, so I thought the title 'without limits' conveyed that clearer than the somewhat Punny title the book actually uses. From the abstract:

> As the title Calculus Unlimited implies, this text presents an alternative treatment of calculus using the method of exhaustion for the derivative and integral in place of limits. [...] As you will note, this text has a more geometric flavor than the usual analytic treatment of calculus. For example, our definition of completeness is in terms of convexity rather than least upper bounds, and Dedekind cuts are replaced by the notion of a transition point. Who Should Use This Book: This book is for calculus instructors and students interested in trying an alternative to limits. The prerequisites are a knowledge of functions, graphs, high school algebra and trigonometry.