Real Analysis and Functional Analysis: A Brief Overview. Volume 1

Author: Zheng Weixing
Publisher:
Publish Date: 2005-04-01
Features: "An Outline of Real Analysis and Functional Analysis 1" can be used as a textbook for mathematics and applied mathematics, computational mathematics, statistical mathematics, and other majors in comprehensive universities, technological universities, and normal universities. It can also serve as a reference book for some graduate students and self-learners. The prerequisite knowledge required is the basic content of mathematical analysis, linear algebra (, Volume 2), ordinary differential equations, and complex analysis (Volume 2). The third edition of this book maintains the features of carefully selected content, broad applicability, and ease of teaching. It incorporates many valuable suggestions from university teachers during its use, references the current teaching syllabus, and considers the needs of current teaching development. During the revision, attention was paid to making some arguments more detailed and simplifying some proofs; summaries are provided for each chapter; mathematical terminology is standardized according to current standards; and examples are added, adjusting