Which is more mathematical?

[Indiana]

Which is more mathematical among The Princeton Companion to Applied Mathematics and Mathematics for Physics by Michael Stone and Paul Goldbart?
Both of them are applied mathematics books. What are the main differences between them? Which is more mathematical i.e. mathematically advanced, mathematically rigorous?

 

[The Bill]

Mathematics for Physics is more streamlined in its presentation, and covers the most important mathematics for physics that might not be covered in the mathematics classes required for a typical undergraduate degree. The Princeton Companion is a nice reference, but it... sprawls a bit. It does cover quite a few interesting specialized topics like asymptotics, mathematical modeling, etc. , but I don't feel that the Princeton Guide is as good for learning from.