Designed for students having no previous experience with rigorous proofs, this text on analysis is intended to follow a standard calculus course. It will be useful for students planning to continue in mathematics (with, for example, complex variables, differential equations, numerical analysis, multivariable calculus, or statistics), as well as for future secondary school teachers.

Introduction.- Sequences.- Continuity.- Sequences and Series of Functions.- Differentiation.- Integration.- Appendix on Set Notation.- Selected Hints and Answers