Books similar to Beardon's Algebra and Geometry

Obis

I think Beardon's Algebra and geometry is an ideally written book - there's motivation for every single definition given, the book is intuitive at the same time being quite formal, a lot of effort is done not only to present the facts, but to interconnect them.

Hence I'd be really happy to know names of books that are written in a similar fashion. It'd be also very good if the book's emphasis would be on depth, not width.

Of the most interest are books about :

Probability and statistics,
Differential equations,
Complex analysis,
Functional analysis,
Mathematical statistics (graduate level?),
Foundations of mathematics (logic, set theory, category theory?).