The better textbook in China is the Course of Mathematical Analysis by Shi Jihuai of China University of Science and Technology (personally, it is the best in China), followed by the New Theory of Mathematical Analysis by Peking University and Zhang Zhusheng (a good book in the modern sense! ), in addition to the "Mathematical Analysis" by teacher Mei Qiang of Nanta, the "Mathematical Analysis" by Zhou Minqiang and Fang of Peking University (there are no books now, they are all copied), and Ouyang Guangzhong of Fudan University and Chen Jixiu, a Chinese teacher, are also good.
Foreign textbooks include Fichkingolz's Calculus Course (Encyclopedia of Mathematical Analysis) and Zorich's Mathematical Analysis (in modern terms, mathematical analysis has a lot of knowledge about differential manifolds and functionals). It is said that Tsinghua Mathematics Department uses this book as a textbook, as well as Ahbov's Lecture Notes on Mathematical Analysis (textbook of Beijing Normal University, translated by Wang Kunyang).
A good American textbook is Rudin's Principles of Mathematical Analysis.