Dorreh al-Taj le-Ghorreh al-Dobaj: Bakhsh-e Hesab

• Persian Title: درة‌التاج لغرّة الدُبّاج: بخش حساب
• Transliterated Title: Durrat al-Tāj li-Ghurrat al-Dubbāj: bakhsh-i ḥisāb
• English Title: The Pearl of the Crown for the Splendor of Brocade: The Arithmetic Section
• Author: Quṭb al-Dīn Maḥmūd b. Masʿūd b. Muṣliḥ Kāzarūnī Shīrāzī (d. 710 A.H.)
• Editor: Sayyid ʿAbd Allāh Anvār
• Language: Persian
• ISBN: 978-600-203-183-9
• Publication Year: 2019
• Pages: 143
• Format: PDF
• Category: Treatises
• Miras Maktoob Collection Code: 331

【Summary】

Durrat al-Tāj li-Ghurrat al-Dubbāj is one of the most important works of Quṭb al-Dīn Shīrāzī (634–710 A.H.), composed in Persian as an encyclopedic exposition of practical and theoretical philosophy and written at the request of Dubbāj b. Fīlshāh b. Rustam b. Dubbāj, a ruler of Gilan, the work encompasses twelve sciences and is structured into a preface (fātiḥa), five main sections (jumal), and a conclusion.

The fourth section of the work is devoted to mathematics and is subdivided into four branches: (1) geometry, (2) cosmology and astronomy, (3) arithmetic (arithmāṭīqī), and (4) music. The present volume contains the arithmetic branch, corresponding to the third subdivision of the fourth section. Strongly influenced by Kitāb al-Shifāʾ of Ibn Sīnā, this section discusses the properties of numbers as quantities, numerical ratios and relationships, and the representation of numbers through figures and proportional schemes. It stands as a significant witness to the transmission of mathematical philosophy in the Persian intellectual tradition.