Seeking "Reference" Textbooks in Mathematical Physics

[bacte2013]

Dear Friends,

Could you suggest me some good textbooks in the mathematical physics that I can use for both studying and reference? I am currently reading Landau/Lifshitz' trilogy along with couple other books (Weinberg for gravity, Arnold, etc) in different branches of physics, and I need to review some concepts from time to time. I thought it would be helpful to have a "reference" book in the mathematical physics that I can keep near to me for review. I do not have specific topics of mathematics in mind, but I just want to purchase a mathematical-physics book that contains majority of topics.

My mathematical background is the following:

Vector Calculus (Courant/Jones, Hubbard/Hubbard, Widder, Loomis/Sternberg)
Single-Variable Analysis (Rudin-PMA, Pugh, Hairer/Wanner)
Set-Theoretic Topology (Engelking, Kuratowski)
Algebra (Pinter, Aluffi)

I am currently reading Spivak's first volume in the differential geometry, Lang's Algebra, and I just started to read Macdonald's book in the geometric algebra.

 

[DrClaude]

A book that satisfies your criterion would be Hassani's Mathematical Physics.

Note howver that there have been criticisms of this book here on PF. You can use the search engine to find the relevant threads.