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.(ii) Ifa agt; 0, then _ 1 xa a + 1 11m n / dx I In . naM 0 a+xaquot; a Romanian National Olympiad, 2001 (iii) Iff : [0, 1] aagt; R is a continuous function, then lim n/01f(x)ln(1+ xn)dxI ... exists and a 1 lim n/ f(xaquot;)dxI lim/ mdx, naagt;agt;alt;agt; 1 taagt;agt;alt;agt; 1 x for any a agt; 1.

Title | : | Problems in Real Analysis |

Author | : | Teodora-Liliana Radulescu, Vicentiu D. Radulescu, Titu Andreescu |

Publisher | : | Springer Science & Business Media - 2009-06-12 |

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