Mathematical Analysis I (Universitext) 2nd ed. 2015 Edition

This is a wonderful first of two book on mathematical analysis used at the Moscow state university in the same Russian tradition of Kudriatsev Mathematical Analysis and Finkhtengolt The fundamentals of Mathematical Analysis.The level of this book is at about same with Baby Rubin (Principles of Mathematical Analysis) but is way less terse. Rudin seems to be more influence by that French diseased called Bourbaki. This first book covers Limits, Derivative and Integration in one variable and Derivatives for multi variable in about 600 pages and then about 700 pages for the second volume to cover integration on multi variable. So these books go into a lot of detail that Rudin does not get into. Is like flying 30000 feet high with Rudin while these books are flying at a mere 10 meters high!There is also the intention of exposing applications of Analysis to Physics. Some worked examples of applications of this mathematical machinery to solve physical problems.These are wonderfully written books a must have. Even if you enjoy Rudin’s 30 k view is always good to get down to a low level.

Excellent, I like this book, I'm use it as a supplementary book for my course

The best analysis book from the country of analysis: Russia. Always like their extensive usage of little o and big O.

An amazing book for studying Mathematical Analysis.

Hope errors can be fixed in the next edition.

The quality of binding in the ORIGINAL 2004 EDITION is MUCH better than in this edition. In this edition the hardcover feels very unstable and in fact, for Analysis I (I have both volumes), the hardcover detached from the paper in just a year. The material between the 1st and 2nd edition is of negligible difference, so I would recommend the original edition for quality reasons alone.