Problems in Real Analysis Advanced Calculus on the Real Axis

Problems in Real Analysis Advanced Calculus on the Real Axis / by Teodora-Liliana Radulescu, Vicentiu D. Radulescu, Titu Andreescu.

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...

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Bibliographic Details
Main Authors: Radulescu, Teodora-Liliana (Author), Radulescu, Vicentiu D. (Author), Andreescu, Titu (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2009.
Edition:1st ed. 2009.
Series:Springer eBook Collection.
Subjects:
Mathematical analysis.
Analysis (Mathematics).
Functions of real variables.
Numerical analysis.
Differential equations.
Applied mathematics.
Engineering mathematics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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.

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