Introduction:

This is a masterpiece of modern mathematics, which has been highly praised by the mathematical community. As one of Rudin's classic analytical works, this book has a wide and far-reaching influence in western countries and even China, and has been used as a compulsory teaching material for mathematical analysis courses in many universities. This book covers the rich content of advanced calculus, and the most exciting part focuses on the basic topological structure, function term sequence and series, multivariate function, differential integral and other chapters.

The content of this book is quite concise and the structure is simple and clear, which is also a major feature of Rudin's works.

This is a dictionary, not a textbook.

This is an online comment:

"W. Rudin: Principles of Mathematical Analysis (Chinese translation: Rudin's Principles of Mathematical Analysis). This is also a pretty good book. Later, we can see that this gentleman has written a series of teaching materials. The teaching method of this book (referring to the use of some symbols and terms) is also very good. By the way, here's a side note, because when I was here, I read Advanced Mathematics compiled by Teacher Qin and Teacher Yu Yuenian, which was later published by Fudan Press. Although I always think this book is very poor, I want to quote a sentence from Teacher Qin here. I hope it can help ddmm for non-mathematics majors: after studying Advanced Mathematics, I can find a book with advanced calculus level in the west, which can basically meet the requirements of the general mathematics department. At that time, Teacher Qin specially ordered Rudin's book. "

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