With a population of just under eight million, London is Europe's largest city, spreading across an area of more than 620 square miles from its core on the River Thames. Ethnically it's also Europe's most diverse metropolis: around two hundred languages are spoken within its confines, and more than thirty percent of the population is made up of first, second- and third-generation immigrants. Despite Scottish, Welsh and Northern Irish devolution, London still dominates the national horizon, too: this is where the country's news and money are made, it's where the central government resides and, as far as its inhabitants are concerned, provincial life begins beyond the circuit of the city's orbital motorway. Londoners' sense of superiority causes enormous resentment in the regions, yet it's undeniable that the capital has a unique aura of excitement and success - in most walks of British life, if you want to get on you've got to do it in London.

Amongst Europeans, Brussels is best known as the home of the EU, which, given recent developments, is something of a poisoned chalice. But in fact, the EU neither dominates nor defines Brussels, merely forming one layer of a city that has become, in postwar years at least, a thriving, cosmopolitan metropolis. It's a vibrant and fascinating place, with architecture and museums to rank among the best of Europe's capitals, not to mention a superb restaurant scene and an energetic nightlife. Moreover, most of the key attractions are crowded into a centre that is small enough to be absorbed over a few days, its boundaries largely defined by a ring of boulevards known as the "petit ring".   All prices are given in euros , the new currency that replaced the Belgian Franc on January 1, 2002. The exchange rate is fixed at one Euro to 40.34 Belgian Francs.  

A federal country, with three official languages and an intense regional rivalry, Belgium has a cultural diversity that belies its rather dull reputation among travellers. Its population of around ten million is divided between Flemish-speakers (about sixty percent) and French-speaking Walloons (forty percent), with a few pockets of German-speakers in the east. Prosperity has shifted back and forth between the two communities over the centuries, and relations remain acrimonious. The constitution was redrawn in 1980 on a federal basis, with three separate entities: the Flemish North, Walloon South, and Brussels, which is officially bilingual (although its population is eighty percent French-speaking).

Most people visit Vienna with a vivid image of the city in their minds: a monumental vision of Habsburg palaces, trotting white horses, old ladies in fur coats and mountains of fat cream cakes. And they're unlikely to be disappointed, for the city positively feeds off imperial nostalgia - High Baroque churches and aristocratic mansions pepper the Innere Stadt, monumental projects from the late nineteenth century line the Ringstrasse, and postcards of the Emperor Franz-Josef and his beautiful wife Elisabeth still sell by the sackful. Just as compelling as the old Habsburg stand-bys are the wonderful Jugendstil and early Modernist buildings, products of the era of Freud, Klimt, Schiele, Mahler and Schönberg, when the city's famous coffeehouses were filled with intellectuals from every corner of the empire. Without doubt, this was Vienna's golden age, after which all has been decline: with the end of the empire in 1918, the city was reduced from a metropolis of over two million, capital of a vast empire of fifty million, to one of barely more than 1.5 million and federal capital of a small country of just eight million souls.

Of all Italy's historic cities, it's perhaps Rome which exerts the most compelling fascination. There's more to see here than in any other city in the world, with the relics of over two thousand years of inhabitation packed into its sprawling urban area. You could spend a month here and still only scratch the surface. As a historic place, it is special enough; as a contemporary European capital, it is utterly unique.

Since early in the nineteenth century Florence has been celebrated as the most beautiful city in Italy. Stendhal staggered around its streets in a perpetual stupor of delight; the Brownings sighed over its idyllic charms; and E.M. Forster's Room with a View portrayed it as the great southern antidote to the sterility of Anglo-Saxon life. For most people Florence comes close to living up to the myth only in its first, resounding impressions. The pinnacle of Brunelleschi's stupendous cathedral dome dominates the cityscape, and the close-up view is even more breathtaking, with the multicoloured Duomo rising behind the marble-clad Baptistry . Wander from there down towards the River Arno and the attraction still holds: beyond the broad Piazza della Signoria, site of the towering Palazzo Vecchio , the river is spanned by the medieval shop-lined Ponte Vecchio , with the gorgeous church of San Miniato al Monte glistening on the hill behind it.

Nobody arrives in Venice and sees the city for the first time. Depicted and described so often that its image has become part of the European collective consciousness, Venice can initially create the slightly anticlimactic feeling that everything looks exactly as it should. The water-lapped palaces along the Canal Grande are just as the brochure photographs made them out to be, Piazza San Marco does indeed look as perfect as a film set, and the panorama across the water from the Palazzo Ducale is precisely as Canaletto painted it. The sense of familiarity soon fades, however, as details of the scene begin to catch the attention - an ancient carving high on a wall, a boat being manoeuvred round an impossible corner, a tiny shop in a dilapidated building, a waterlogged basement. And the longer one looks, the stranger and more intriguing Venice becomes.