Karnataka has been a innovation hub not just now but has been land of science and technology, since time immemorial. Let us see some of the technical writings in ancient times.
Kamasutra(171 BC) by Vatsyayana - work on Erotics (kama)
Gajastaka (8th century AD) by Shivamara II - on Elephant Management in Kannada
Kalyanakaraka (850AD) by Ugraditya - WOrk on Medicine in Sanskrit.
Abhidanaratnamala or Sadrasanighantu (800 to 900 AD) unknown author - Medicinal work in sanskrit with kannada commentary.
Ganitasarasangraha by Mahaviracharya - Mathematics work, ground breaking theories on Algebra, Arithmetic and Geometry
Lokopakaram (978 AD) Chavundaraya - Veterinary Science, Aromatics,Horticulture,Medicine, Astrology, Water resource, Cookery,etc
Gajankusha also known as Narayana wrote on Erotics
Jatakatilaka (1049AD) by Sridharacharya - work on Astrology in Kannada.
Madanatilaka(1050 AD) by Chandraraja - work on erotics in Kannada
Mitakshara (1070 AD) by Vijananeshvara - A legal work on Hindu inheritance in Sanskrit
Kshetraganita, Vyavaharaganita, and Lilavati (1191 AD) by Rajaditya - Mathematical Works in Kannada
Karnataka kalyanakaraka(1150 AD) by Jagaddala Somanatha - work on Medicine in Kannada
Govaidya(12th century AD) by Kirtivarma(chalukya Price) - Work on Vertinary Medicine in Kannada.
Abhilashitartha Chintamani (Manasollasa)(1127-1138 A.D) - work on rt, architecture, dance, music, ornaments, food and drinks, love and lust
Rattamata(1300 AD) by Rattakavi - work on Meterology and omens in kannada.
Khagendramanidarpana(14th century AD) by Mangaraja I - work on Toxicology in kannada.
Akaradi Vaidya Nighantu(1300AD) by Amrita nandi - Kannada Medicine Dictionary with Meanings in Sanskrit.
Asva Vaidya (14th century AD) by Abhinava Chandra - work on Vetinary Medicine. in Kannada.
Manmathavijaya(14th century AD) by Kavi malla
Vaidyamrita(15th century AD) by Sridharadeva - Medical work in Kannada.
Ayurveda Sudhanidhi compiled by Sayana (1570AD) - Work on Ayurvedic Medcine in Sanskrit.
Works on Carnatic Music and Bharathanatyam , which originated in Karnataka and works on Hindustani Music which primarily developed in karnataka are vast, which we will see in another Article.
Ref
History of Kannada Literature by R. Narasimhacharya, Praktana vimarsa vichakshana mahamahopadhyaya rao Bahadur.