808 Middle

I did not buy this edition, dated 2012. I only consulted. The one I have is the previous edition of 2011, which includes 1,078 pages (curiously, the editions are not numbered: so I specify the number of my own pages). That said, this new edition is not very different from the previous. The method and presentation are the same, the plan of the book, too. In the introduction, the authors claim to have completely rewritten the section on linear algebra. It's possible.
This kind of work has an advantage: it presents in one volume all the L1 program. It has one drawback: as 1st year university program touches everything, it is a real mathematical patchwork. It is everything, brought a little out of order.
In general, I have gained from reading a sense of unease. I had the sense to follow an oral statement during pressed by teachers taking turns to talk about their specialty. This kind of work is somewhat similar style to courses at American universities. Is treated a little while wanting above all to be effective, even transform theorems definitions, to go faster and easier. Numerous annexes, called "supplements", are used to stimulate mathematical thinking of the reader. The intention is good, but the presentation is sometimes confused.
What bothered me most in this book, it is the obscure nature of many demonstrations, especially when compared with those advanced by other works.
Confused plan because too attached in principle to only the program content of the first year and often confused demonstrations are the major flaws of this course.
Another fault, major, is the number of shells. For example, notes are absent (eg note 7 on page 9) or, even, supplements are nonexistent (eg complement the famous chapter 21, the authors maintain us to the third addition of chapter 22, still is. ..inexistant, as in previous editions).
I much preferred - to stay in the current literature - the course of Deschamps and Warusfel (ISDM) published by Wiley. The plan of this book is no more clear (as it also follows to the letter the L1 program), but the mathematical content (quality of expression statements, clarity and elegance of the demonstrations) it is much higher.
If we really want to address the higher mathematics by the right side (double educational and scientific point of view, that is to say from the point of view of clarity and rigor in the progression of the presentation ), it is better to fall back on older works, which may only be found on the used market. I think of the first two volumes of Cagnac, Ramis, Commeau (in Masson) or Ramis, Deschamps, Odoux (in Masson, too), or the Queysanne (for algebra) and Couty and Ezra (for analysis ), both Armand Colin (U collection).
For the rest, the book in question retains an advantage: its corrected exercises. So, for the price of 50 euros, the reader will have a course over a corrected workbook. This is not to overlook, either, knowing that the Warusfel Deschamps, mentioned above, has also corrected a lot of exercises ...