Not books but it's really important, in my opinion, to go through official documentation
https://learn.microsoft.com/en-us/dotnet/core/whats-new/
https://learn.microsoft.com/en-us/dotnet/csharp/whats-new/
Can also recommend reading:
https://learn.microsoft.com/en-us/dotnet/core/tools/ (CLI, it's good)
https://learn.microsoft.com/en-us/aspnet/core/fundamentals/m...
https://typescript-is-like-csharp.chrlschn.dev/pages/interme...
> are there books specifically about using .NET Core on Linux
There is nothing particular to using ".NET on Linux" - it just works. Standard Linux caveats not specific to .NET apply.