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Test 2 209.107.183.189 12:52, 10 March 2023 (UTC)

Landau mathematical applications ideas

Ideas for "applications" texts following the landau books:
vol 4 QED:
-more tasteful gauge theory
-something good on vertex algebras
overlap with weinberg applications? where should weinberg go?
-green's functions

vol 5 statphys:
-quantum groups by sternberg
-parisi statistical field theory

vol 6 fluids:
-Arnol'd topological hydrodynamics

vol 7 elasticity:
generalized continua from theory to engineering applications

vol 8 material EM:
-technical details of grid engineering, some circuits are in Hermann too

vol 9 quantum statphys:
-more condensed matter, probably (this one should be easy with applications from QFT too)

vol 10 kinetics:
?

Anisomorphism 13:01, 10 March 2023 (UTC)

vol5 statphys: add Geometric Structures of Statistical Physics, Information Geometry, and Learning
and Statistical Field Theory: Volume 1, From Brownian Motion to Renormalization and Lattice Gauge Theory
Statistical Field Theory: Volume 2, Strong Coupling, Monte Carlo Methods, Conformal Field Theory and Random Systems
anything else on CFT needed?

Anisomorphism 22:21, 12 May 2023 (UTC)

I am using this online photo editor to compile the images. In case they need to be redone, which many will be as I find better books.

Anisomorphism 1:51, 11 September 2023 (UTC)

Finishing applications under mechanics, Paul Aspinwall and Paul Seidel are the likely culprits of the to-be final resources on symplectic topology.

Statistical mechanics is nearing completion, I want to connect it properly to AI. Watanabe's mathematical theory of Bayesian statistics does not make much mention of statistical mechanics, but is appropriate. Maybe the next closest thing is this book on information geometry. Taking things slowly.

Finally, the 'engineering volumes' (7 and 8) need theoretical books about technological applications and finite element analysis of these situations. The analogous thing for quantum mechanics (computational chemistry) can take place on the quantum mechanics page.

Anisomorphism 16:37, 22 December 2023 (UTC)