实分析问题：实轴上的高级微积分

English | PDF | 2009 | 461 Pages | ISBN : 0387773789 | 4 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.

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.

实分析问题：实轴上的高级微积分，本书包含了一套全面的数学分析问题集合，旨在促进创造性、非标准的技术来解决这些问题。这本自包含的书籍提供了一系列新的数学工具和策略，这些工具和策略发展了分析与其他学科（如物理和工程）之间的联系。贯穿始终地给出了广泛的观点；这本书非常适合课堂学习或自学。它适用于数学专业的本科生及研究生，以及从事分析学、应用分析学、数学物理和数值分析领域交叉研究的研究人员。 关键特点 * 以比赛启发的问题作为培训典型创新技能的平台； * 发展基本的解决问题技巧，使学生能够熟练掌握实轴上的数学分析，并为深入学习实分析提供良好的准备； * 包含许多例子及有趣且有价值的分析方法和想法的历史介绍； * 提供一条系统的路径，引导从常规问题解决活动过渡到独立探索新结果和性质。

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