Problems in Real Analysis: Advanced Calculus on the Real Axis By Teodora-Liliana Radulescu, Vicentiu D. Radulescu, Titu Andreescu
English | PDF | 2009 | 462 Pages | ISBN : 0387773789 | 3.51 MB
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.
*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.