This is a European beech, Fagus sylvatica.
The common form has green leaves.
There are several cultivars that have 'Burgundy' foliage, as you put it. They are commonly referred to as copper beeches, Fagus sylvatica Purpurea Group. They are usually propagated by grafting (though they can produce purple-leaved seedlings).
The tree in your photo was produced by such grafting - except some of the normal, green-leaved, beech has been allowed to grow. So now the tree has branches with leaves of the two colours.
If you want to grow one of these trees - with both colours, you would probably need to graft it yourself, and be careful with your pruning over subsequent decades to encourage both types to grow (otherwise one may suppress the other, or you could accidentally remove one of them entirely!)
I am perplexed by the tree having similar coloured foliage in winter. Young beech trees can retain their dead russet-coloured foliage over winter, but older ones, such as yours, should not.
Thanks Mike, this tree was in a council owned site. We lived across the road from it, one day we were shocked to see it had been cut down. They cut it down to put an extension on the building. We will look around some garden centres for one to plant in our new garden .
You're welcome Margaret.
To find a specific plant, the RHS's Plant Finder is a good resource.
Here's a search that lists various purple beeches.
If you click on the numbers of stockists, you'll get more info - allowing you to find suppliers in your area (and some do mail order)
Do bear in mind that beeches can grow to be big trees. That is: they may not be suitable for small gardens. I say 'may' because they can be kept small by pruning (hedges being an example).