Contains a collection of challenging problems in elementary mathematical analysis Uses competition-inspired problems as a platform for training typical inventiv... » 

Contains a collection of challenging problems in elementary mathematical 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 Assumes only a basic knowledge of the topic but opens the path to competitive research in the field Includes interesting and valuable historical accounts of ideas and methods in analysis Presents a connection between analysis and other mathematical disciplines, such as physics and engineering May be applied in the classroom or as a self-study 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. «