I came across the references to the following books on the mountaneering training:
@Dmitry I'll jump right in here. First, I am not familiar at all with the volumes you reference, but, if you are starting general mountaineering/hiking activities there is a lot more involved than simply being physically fit, although that is undeniably important.
I heartily recommend"Mountaineering: Freedom of the Hills", eighth edition. They discuss physical conditioning as well as other important issues. MFOTH has been the gold standard ever since the first edition appeared, sixty years ago.
@Dmitry Thanks for posting this question!
While I definitely agree with @hikermor and @Philreedshikes in regards to M:FOTH as the foundational piece of any mountain traveler's library, if you're really looking to dial in your fitness for time in the mountains then the two books you have listed are the a great place to start. While I have not read either of these books, I have attended a couple of lectures by Steve House, and he is an incredible athlete!
I would recommend going with his 'Training for the Uphill Athlete', as that will give you a better overall foundation of fitness for varied pursuits. Unless you have specific alpinism goals, 'Training for the Uphill Athlete' will lay out a detailed plan for you to get the most out of your uphill pursuits.
Hopefully this helps!
I do have TFOTH in my library, and yes, there is unanimous opinion of it as a gold standard for the backcountry activities. I am currently gathering information and keep coming across books with intriguing titles, which grab my attention especially if they are offered through specialized distros like skimo.co.
My primary goal, in general, and at least for now, is to be able to travel over large distances over rugged terrain in any season, winter being most challenging and most appealing. Quite possibly my interests will veer as I am getting into the sport more.