Basic properties of numbers
Michael Spivak's celebrated Calculus is widely held as one of the finest introductions to mathematical analysis available. The book's aim is to present calculus as the first true encounter with mathematics: a place to learn how logical reasoning and fundamental concepts can be developed into a rigorous theory, rather than a collection of techniques learned by rote. In this 4th Edition, Spivak continues to combine leisurely explanations, a profusion of examples, and famously insightful exercises in an easy-going approach that enlightens difficult concepts and rewards effort. Regarded as a modern classic, Calculus is the ideal text for honors students and mathematics majors seeking a substantive alternative to standard doorstop textbooks and a perfect, accessible bridge to the more formidable world of real analysis. Here we will provide the solutions of the problems of this extraordinary book. This is solution page of Part I : Prologue Chapter 1 : Basic Properties of Numbers P...