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Problems in Real Analysis Teodora-Liliana Radulescu

Problems in Real Analysis By Teodora-Liliana Radulescu

Problems in Real Analysis by Teodora-Liliana Radulescu


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Summary

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.

Problems in Real Analysis Summary

Problems in Real Analysis: Advanced Calculus on the Real Axis by Teodora-Liliana Radulescu

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.

Problems in Real Analysis Reviews

and includes interesting examples and applications. ... the collection is a very worth-while contribution and should be included in every high school, college, and university mathematics library collection. (F. J. Papp, Zentralblatt MATH, Vol. 1209, 2011)

About Teodora-Liliana Radulescu

Teodora-Liliana Radulescu received her PhD in 2005 from Babes-Bolyai University of Cluj-Napoca, Romania, with a thesis on nonlinear analysis, and she is currently a professor of mathematics at the Fratii Buzesti National College in Craiova, Romania. She is a member of the American Mathematical Society and the Romanian Mathematical Society. She is also a reviewer for Mathematical Reviews and Zentralblatt fur Mathematik.

Vicentiu Radulescu received both his PhD and the Habilitation at the Universite Pierre et Marie Curie (Paris 6), and he is currently a professor of mathematics at the University of Craiova, Romania and a senior researcher at the Institute of Mathematics Simion Stoilow of the Romanian Academy in Bucharest, Romania. He has authored 9 books and over 100 articles.

Titu Andreescu is an associate professor of mathematics at the University of Texas at Dallas. He is also firmly involved in mathematics contests and Olympiads, being the Director of AMC (as appointed by the Mathematical Association of America), Director of MOP, Head Coach of the USA IMO Team and Chairman of the USAMO. He has also authored a large number of books on the topic of problem solving and Olympiad-style mathematics.

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.

Additional information

NLS9780387773780
9780387773780
0387773789
Problems in Real Analysis: Advanced Calculus on the Real Axis by Teodora-Liliana Radulescu
New
Paperback
Springer-Verlag New York Inc.
2009-05-29
452
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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