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Titlebook: Beginning Functional Analysis; Karen Saxe Textbook 2002 Springer Science+Business Media New York 2002 Hilbert space.functional analysis.in

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发表于 2025-3-21 19:33:13 | 显示全部楼层 |阅读模式
期刊全称Beginning Functional Analysis
影响因子2023Karen Saxe
视频video
发行地址Includes supplementary material:
学科分类Undergraduate Texts in Mathematics
图书封面Titlebook: Beginning Functional Analysis;  Karen Saxe Textbook 2002 Springer Science+Business Media New York 2002 Hilbert space.functional analysis.in
影响因子This book is designed as a text for a first course on functional analysis for ad­ vanced undergraduates or for beginning graduate students. It can be used in the undergraduate curriculum for an honors seminar, or for a "capstone" course. It can also be used for self-study or independent study. The course prerequisites are few, but a certain degree of mathematical sophistication is required. A reader must have had the equivalent of a first real analysis course, as might be taught using [25] or [109], and a first linear algebra course. Knowledge of the Lebesgue integral is not a prerequisite. Throughout the book we use elementary facts about the complex numbers; these are gathered in Appendix A. In one spe­ cific place (Section 5.3) we require a few properties of analytic functions. These are usually taught in the first half of an undergraduate complex analysis course. Because we want this book to be accessible to students who have not taken a course on complex function theory, a complete description of the needed results is given. However, we do not prove these results.
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