Problems in Real Analysis Advanced Calculus on the Real Axis /

• Main Authors: Radulescu, Teodora-Liliana (Author), Radulescu, Vicentiu D. (Author), Andreescu, Titu (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Differential equations.; Functions of real variables.; Applied mathematics.; Engineering mathematics.; Numerical analysis.; Analysis.; Real Functions.; Numerical Analysis.; Ordinary Differential Equations.; Applications of Mathematics.

Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to promote creative, non-standard techniques for solving problems. This self-contained text offers a host of new mathematical tools and strategi...

Table of Contents:

• Sequences, Series, and Limits
• Sequences
• Series
• Limits of Functions
• Qualitative Properties of Continuous and Differentiable Functions
• Continuity
• Differentiability
• Applications to Convex Functions and Optimization
• Convex Functions
• Inequalities and Extremum Problems
• Antiderivatives, Riemann Integrability, and Applications
• Antiderivatives
• Riemann Integrability
• Applications of the Integral Calculus
• Basic Elements of Set Theory.