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.
Categories: Mathematics\\Analysis
Year: 2009
Edition: 1
Publisher: Springer-Verlag New York
Language: english
Pages: 452
ISBN 10: 0387773789
ISBN 13: 9780387773780
ID: SC - 1346
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