Qurtuba, jewel of the Caliphate

Start at the Mezquita-Cathedral, the crowning achievement of Umayyad architecture, then walk south to the Alcázar de los Reyes Cristianos and its Moorish gardens. Spend the afternoon exploring the narrow lanes of the Judería, where the layers of Islamic, Jewish and Christian Córdoba are most legible. A full day gives you time to appreciate the detail. Arrive at the Mezquita when it opens to beat the crowds.

Medina Azahara (Madinat al-Zahra, "the brilliant city") was a palatial city built from 936 by Caliph Abd al-Rahman III as the new seat of his caliphate. It covered 112 hectares on three terraces cut into the Sierra Morena foothills, 8 km west of Córdoba. Destroyed in the civil war of 1009–1010, it lay buried for centuries until excavations began in the 1910s. Today it is a UNESCO World Heritage Site; you can visit the partially excavated ruins daily. Guided tours are available, or take the public shuttle bus from Córdoba city centre. Allow at least 3 hours.

Three figures stand above the rest. Averroes (Ibn Rushd, 1126–1198) was philosopher and physician, whose commentaries on Aristotle were read in European universities for three centuries. Ibn Hazm (994–1064) was a polymath poet, theologian and jurist, author of The Ring of the Dove. Al-Zahrawi (Abulcasis, 936–1013), court physician to the caliph, wrote a 30-volume illustrated surgical encyclopaedia that remained the standard European medical reference for 500 years. These scholars worked in a city where Arabic, Latin, Hebrew and Greek manuscripts circulated freely.

Arab-Berber forces under Tariq ibn Ziyad crossed into the Iberian Peninsula in 711 and rapidly took Córdoba. The city remained under Muslim rule for over 525 years: first as capital of the Umayyad Emirate (756–929), then as capital of the Caliphate of Córdoba (929–1031), and later under successive taifa kingdoms and the Almohad dynasty. Ferdinand III of Castile reconquered the city on 29 June 1236. Five centuries of Moorish rule left an indelible mark on the city's architecture, urban fabric and cultural memory.

Hammam Al Andalus, located a short walk from the Mezquita, operates in a building with original 9th-century Moorish vaulting. It offers a traditional thermal circuit (cold, warm and hot pools), essential oil massages, and the full architecture of an Arab bath house. Booking in advance is strongly recommended. The experience is one of the most direct ways to connect with everyday life in caliphal Córdoba, when the city had over 300 public baths.

At its 10th-century peak under the Caliphate, Córdoba had an estimated population of around 500,000, making it the largest city in Western Europe, significantly larger than Constantinople (roughly 400,000 at the time) and far ahead of Paris or London, which each counted only a few thousand souls. The city had 3,000 mosques, 300 public baths, 50 hospitals, and a royal library of 400,000 volumes at a time when many European monasteries held only a few dozen manuscripts. By any measure, it was the intellectual capital of the medieval world.