I decided to divide Mathilda's current collection by these five categories to see what we actually have on the topic at the moment; hopefully that'll let us see some gaps.
MAGIC:
Aethyr - The Warp +2 - Extensive
Sevir - The Winds of Magic +7 - Extensive and Esoteric Imperial / Extensive Dwarven
Qhaysh - High Magic +2 - Extensive Imperial
Ghyran - Life Magic +2 - Extensive Imperial
Shyish - Death Magic +2 - Extensive Imperial
Ghur - Beast Magic +2 - Extensive Imperial
Chamon - Metal Magic +2 - Extensive Imperial
Aqshy - Fire Magic +2 - Extensive Imperial
Azyr - Celestial Magic +2 - Extensive Imperial
Hysh - Light Magic +2 - Extensive Imperial
Ulgu - Shadow Magic +5 - Extensive and Esoteric Imperial
Divine Magic +4 - Extensive and Antiquarian Imperial
Enchantment +5 - Extensive and Esoteric Imperial
Familiars +2 - Extensive Imperial
Chaos Sorcery +4 - Extensive Imperial / Extensive Dwarven
Necromancy +2 - Extensive Imperial
Waaagh Magic +4 - Extensive Imperial / Extensive Dwarven
Skaven Warp Magic +4 - Extensive Imperial / Extensive Dwarven
Warpstone +9 - Extensive Dwarven & Imperial / Extensive and Esoteric Skaven
Rune Magic +2 - Extensive Imperial
Power Stones +2 - Extensive Imperial
Waystones and Henges +10 - Extensive and Esoteric Imperial / Extensive and Esoteric Dwarven
The big gaps I'm seeing here are rituals, alchemy and potion making. Also debatable as to whether "Daemons +4 - Extensive Imperial / Extensive Dwarven" falls into this section, as well as whether "Divine Magic +4 - Extensive and Antiquarian Imperial" should go in Divinity instead. Actually, yeah, I'll pop it over there instead.
DIVINITY
Ulric, God of Winter and Wolves +2 - Extensive Imperial
Morr, God of Death and Dreams +2 - Extensive Imperial
Ranald, God of Trickery and Thieves +7 - Extensive and Esoteric Imperial / Extensive Bretonnian
Grungni +1 - Dwarven
Valaya +1 - Dwarven
Grimnir +1 - Dwarven
Thungni +1 - Dwarven
Smednir +1 - Dwarven
Morgrim +1 - Dwarven
Gazul +1 - Dwarven
Divine Magic +4 - Extensive and Antiquarian Imperial
Okay, this section is kinda bare—we need books on the Northern pantheon, the Classical pantheon, the Cadai and the Cytharai, the Kislevian pantheon, the Lady, the Halfling pantheon, and the gods of Nehekhara. Possibly also "safe" texts on the Chaos gods? Eventually we'll want to expand into Gork and Mork, the Great Maw, the Horned Rat etc as well.
... Also, we have extensive Bretonnian literature on Ranald? Huh, interesting.
NATURAL SCIENCE
Arthropods +7 - Extensive and Esoteric Imperial / Extensive Dwarven
Canines +5 - Extensive and Esoteric Imperial
Dragons +8 - Extensive Imperial / Extensive Bretonnian / Extensive and Antiquarian Dwarven
Rodents and Mustelids +5 - Imperial / Extensive and Antiquarian Skaven
Natural Toxins +7 - Extensive and Esoteric Imperial / Extensive Dwarven
Geography +2 - Extensive Dwarven
Cathay +5 - Extensive and Esoteric Cathayan (T)
The Chaos Wastes +8 - Extensive and Antiquarian Imperial / Extensive and Antiquarian Dwarven
The Dark Lands +7 - Extensive and Esoteric Imperial / Extensive Dwarven
Dragon Isles +1 - Dwarven
The Great Steppes +4 - Extensive Imperial / Extensive Dwarven
Mountains of Mourn +3 - Imperial / Extensive Dwarven
The Old World +2 - Extensive Dwarven
Anatomy +9 - Extensive and Esoteric Imperial / Extensive Bretonnian / Extensive Dwarven
Chemistry +2 - Extensive Dwarven
Mostly geography books here, with a small amount of zoology. Botany is high on the list to get, and texts on Physics and Maths would also be useful here. Anatomy might fall under "medicine" in Applied Science. Chemistry also straddles the boarder between Natural Science and Applied Science. The Cathay books are exclusively on geography, that's why they are here and not in Social Science.
SOCIAL SCIENCE
The Empire of Man +7 - Extensive and Esoteric Imperial / Extensive Dwarven
The Eonir of Laurelorn +10 - Extensive and Esoteric Imperial / Extensive and Esoteric Dwarven
The Karaz Ankor +12 - Extensive and Esoteric Imperial / Extensive Bretonnian / Extensive and Esoteric Dwarven
The Kingdom of Kislev +9 - Extensive and Esoteric Imperial / Extensive and Antiquarian Dwarven
The Ten Kingdoms of Ulthuan +2 - Extensive Dwarven
The We +1 - Imperial
Linguistics +11 - Extensive and Esoteric Imperial / Extensive Bretonnian / Extensive and Antiquarian Dwarven
Trade +7 - Extensive and Esoteric Imperial / Extensive Dwarven
Beastmen +6 - Extensive Imperial / Extensive and Antiquarian Dwarven
Chaos Dwarves +8 - Extensive Imperial / Extensive and Esoteric Dwarven / Skaven (Only Esoteric)
Daemons +4 - Extensive Imperial / Extensive Dwarven
Greenskins +9 - Extensive and Esoteric Imperial / Extensive Bretonnian / Extensive Dwarven
Hobgoblin Khanates +4 - Extensive Imperial / Extensive Dwarven
Marauder Tribes +4 - Extensive Imperial / Extensive Dwarven
Ogre Kingdoms +4 - Imperial / Extensive and Obscure Dwarven
Skaven +13 - Extensive and Esoteric Imperial / Extensive Bretonnian / Extensive and Esoteric Dwarven / Skaven
Undead +7 - Extensive and Obscure Imperial / Extensive Bretonnian / Extensive Dwarven
Vampires +6 - Extensive Imperial / Extensive Bretonnian / Extensive Dwarven
This is a fairly well rounded section. Missing stuff on Bretonnia, Tilea and Estalia, Halflings, Norsca, the New World, the Far East, but we can build those up later. Art History and Literary Criticism would go nicely in here, but that's not urgent. Possibly a Biography section as well?
APPLIED SCIENCE
Agriculture +2 - Extensive Dwarven
Anatomy +9 - Extensive and Esoteric Imperial / Extensive Bretonnian / Extensive Dwarven
Architecture +2 - Extensive Dwarven
Chemistry +2 - Extensive Dwarven
Engineering +14 - Extensive and Esoteric Imperial / Extensive Bretonnian / Extensive Dwarven / Extensive and Esoteric Skaven (T)
Greatswords +7 - Extensive and Esoteric Imperial / Extensive Brettonian
Logistics +1 - Skaven
Tactics +1 - Skaven
Look at that beautiful +14 Engineering bonus. Now look at the Branch Collage of the Nuln Collage of Engineering located next door. Now look at me. I'm on a steam horse.
Medicine is a big gap here—we have a good amount on Anatomy, but we can really go ham and expand that. Art and Craftsmanship would be good here as well—texts on smithing (black, silver, gold), carpentry and joinery, masonry (might fall under architecture), cooking, animal husbandry etc.
FICTION
Romance +9 - Extensive Imperial / Bretonnian / Dwarven / Extensive Druchii / Extensive and Obscure Skaven
Overly Vulgar Romance +3 - Druchii / Extensive Skaven
We're not a fiction library, and honestly, I'm not sure what fiction categories would even exist. Fantasy and Sci-fi wouldn't be recognised, there would be no childrens/YA stuff etc.
Romance, Tragedy and Comedy, maybe? Eh, that's a problem for future Mathilde.
Anyway, library vote:
I'm thinking we want to talk to our friends in Barak Varr for texts on Old World faiths, Medicine and... hmm, would a general "tradecraft" category be appropriate, or would it be best to divide by discipline—Blacksmithing, jam making, coopering etc?
Tentative vote:
[X] [LIBRARY] Barak Varr booksellers: Faiths of the Old World, Medicine, Tradecraft