Bagby R. Introductory Analysis. A Deeper View of Calculus 2009

Textbook in PDF format

Introductory Analysis addresses the needs of students taking a course in analysis after completing a semester or two of calculus, and offers an alternative to texts that assume that math majors are their only audience. By using a conversational style that does not compromise mathematical precision, the author explains the material in terms that help the reader gain a firmer grasp of calculus concepts.
Written in an engaging, conversational tone and readable style while softening the rigor and theory.
Takes a realistic approach to the necessary and accessible level of abstraction for the secondary education students.
A thorough concentration of basic topics of calculus.
Features a student-friendly introduction to delta-epsilon arguments.
Includes a limited use of abstract generalizations for easy use.
Covers natural logarithms and exponential functions.
Pres the computational techniques often encountered in basic calculus