Introduction to Calculus and Classical Analysis

• Main Author: Hijab, Omar (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Edition: 4th ed. 2016.
• Series: Undergraduate Texts in Mathematics,
• Subjects: Mathematics.; Approximation theory.; Sequences (Mathematics).; Special functions.; Combinatorics.; Approximations and Expansions.; Sequences, Series, Summability.; Special Functions.

This completely self-contained text is intended either for a course in honors calculus or for an introduction to analysis. Beginning with the real number axioms, and involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate math majors. This f...

Table of Contents:

• Preface
• A Note to the Reader
• 1. The Set of Real Numbers
• 2. Continuity
• 3. Differentiation.-4. Integration
• 5. Applications
• 6. Generalizations
• A. Solutions
• References
• Index.