Ngô Quốc Anh

January 31, 2009

Problems in Real Analysis: Advanced Calculus on the Real Axis

Filed under: Các Bài Tập Nhỏ, Giải Tích Cổ Điển, Sách Hay — Ngô Quốc Anh @ 15:24

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, nonstandard 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-advanced-calculus-on-the-real-axis-cover

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.

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