The principle is: the courses are richly detailed with a historical introduction (why are you going to study this concept!), Many examples to understand the concepts studied, tests (over 800 throughout the book) to to ensure proper understanding of each concept, rich and varied exercises (fifteen per chapter) and interesting (and difficult) that the tests. There are also several Extremely interesting applications at the end of the chapters.
So far, nothing new for a math book. However, the typography is nice (the important concepts are outlined in blue, the examples are slightly bluish): this encourages visit. In addition, the chain is well thought extremements, courses are written by leading educators and authors have really thought about writing this book.
Nevertheless, what sets it apart from its competitors (including all books prep) are two points that make it truly exceptional: first, each part is preceded by a long and historical introduction that mathematics that can not encourage the reader to understand and appreciate the concept he is studying. These introductions shine in my opinion by quality. Finally (and this is not less incredible history), the majority of chapters is followed by one or two supplements often constituting practical application of concepts studied, such as the construction of the range of music (the The explanation is mathematical ...)
In short, this book will become to me a reference book for both math students in preparatory class L1 or for candidates for the CAPES and aggregation. I recommend it very highly.
