The most wonderful book I have ever read in my life was Fearless Symmetry by Avner Ash and Robert Gross, which is a good book that gives an intuition , and reasons behind the introducing fields, need for Galois theory etc.
I am interested in those books which possess the following characteristics ( as possessed by Fearless Symmetry :
- A good introduction to the concept, giving the reasons behind introducing theory X or some jargon Y in the arbitrary field chosen.
- Requires a little mathematical background behind understanding that book, must be naive-user-friendly.
- And must be able to convey the things in a perfect manner.
Any mathematical area is fine with me
To frame in another manner, are there any Analogues of Fearless-Symmetry ? ( in other fields like Algebraic Geometry , Topology....etc)