Calculus, 4th edition

removed background, missing some semi-opaque detail Spivak's celebrated textbook is widely held as one of the finest introductions to mathematical analysis. His aim is to present calculus as the first real encounter with mathematics: it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and techniques learned by rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. Calculus will continue to be regarded as a modern classic, ideal for honours students and mathematics majors, who seek an alternative to doorstop textbooks on calculus, and the more formidable introductions to real analysis. Pt. 1. Prologue -- Pt. Ii. Foundations -- Pt. Iii. Derivatives And Integrals -- Pt. Iv. Infinite Sequences And Infinite Series -- Pt. V. Epilogue. Michael Spivak. Includes Bibliographical References (p. 609-616) And Index.