TY  - BOOK
AU  - Radulescu,Teodora-Liliana
AU  - Radulescu,Vicentiu D.
AU  - Andreescu,Titu
ED  - SpringerLink (Online service)
TI  - Problems in Real Analysis: Advanced Calculus on the Real Axis 
SN  - 9780387773797
AV  - QA299.6-433 
U1  - 515 23
PY  - 2009///
CY  - New York, NY
PB  - Springer New York
KW  - Mathematics
KW  - Mathematical analysis
KW  - Analysis (Mathematics)
KW  - Differential equations
KW  - Functions of real variables
KW  - Applied mathematics
KW  - Engineering mathematics
KW  - Numerical analysis
KW  - Analysis
KW  - Real Functions
KW  - Numerical Analysis
KW  - Ordinary Differential Equations
KW  - Applications of Mathematics
N1  - 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
N2  - 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 strategies which develop a connection between analysis and other mathematical disciplines, such as physics and engineering. A broad view of mathematics is presented throughout; the text is excellent for the classroom or self-study. It is intended for undergraduate and graduate students in mathematics, as well as for researchers engaged in the interplay between applied analysis, mathematical physics, and numerical analysis. Key features: *Uses competition-inspired problems as a platform for training typical inventive skills; *Develops basic valuable techniques for solving problems in mathematical analysis on the real axis and provides solid preparation for deeper study of real analysis; *Includes numerous examples and interesting, valuable historical accounts of ideas and methods in analysis; *Offers a systematic path to organizing a natural transition that bridges elementary problem-solving activity to independent exploration of new results and properties
UR  - http://dx.doi.org/10.1007/978-0-387-77379-7
ER  -