Scotland's Euro 2016 campaign gets off to a losing start against the world champions in Dortmund. However, Gordon Strachan will be heartened by their second half display which augurs well for the future.

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Elsewhere in Group D, Poland crushed Gibraltar 7-0 and Aiden McGeady fired a double in Republic of Ireland's 2-1 victory in Georgia.

Craig McCallum: A good performance - others will definitely do worse in Germany. I still bet Gibraltar will get their first point against us

Scotland manager Gordon Strachan

"They have got to go out there against real machines, real physical players. They stood up to it. Second half we were terrific.

"Okay they're going to make chances, that was going to happen, but we played with a freedom in the second half.

Image source, Getty Images

"I thought we were going to get a point, I actually thought we were going to win it at one stage."

Despite Scotland benefitting from German profligacy, Gordon Strachan will be heartened by the number of chances they created in the second half.

Image source, Getty Images

BBC Sportsound pundit Willie Miller

The second half will give us hope, I just wish we could've had that in the first half.

Tom Watson: How well Scotland do in the games where they r favourite will b the next test of how far this team has come under Strachan.

Kim: Heads held high, well done boys - ref shocking.

Jim, Troon: Believe it or not that was our easy game because nobody expected us to win so let's not get excited please.

Andy in Armagh: Gordon Strachan has got Scotland going places. At long last there is a man who knows what he is doing in charge of the national team, and someone who can install belief and organisation into his players. His tactics are always spot on.

Robbie Devenney: Lots of positives there, Mulgrew and Morrison let us down but so much better than 2 years ago. Optimistic.

Euan Little: Great match ruined by a ref. Oh wait, it's football, we should be used to this by now.

Scotland lose narrowly to the world champions but will be heartened by their second half display and could have added to Ikechi Anya's goal in Dortmund. Food for thought for the rest of the Euro 2016 campaign.

That man Thomas Muller is at it again! He rifles in a low shot from distance that smacks the post and bounces to safety...

Scottish heads shaking in Dortmund and also back home as Charlie Mulgrew is given his marching orders for a second bookable offence: the Celtic man kicked the ball away in frustration and he trots off, head bowed, down the tunnel.

Jack Kennedy: Scotland on course to be the first team to prevent Germany scoring 3 goals in a home qualifier since October '09 #bbcfootball

Mario Götze, who scored the winner in the World Cup final, clips a shot beyond David Marshall... but just past the far post.

It remains 2-1 to Joachim Low's troops with the clock ticking down...

Like a seasoned NFL outfit, Germany are eating up territory and running down the clock as they inch ever closer to victory and three qualification points in Dortmund.

Three minutes plus added time remaining. Could there yet be a sting in the tail?

Scott Donnell: Craig Levein would defend now keep it 2-1 , Gordon Strachan? Let's get intae them! C'mon Scotland

BBC Sportsound pundit Willie Miller

Scotland need one more chance and you wouldn't discount them getting that chance. They're finding space...

Gordon Strachan makes his final change in Dortmund: Shaun Maloney replaces Steven Naismith with eight minutes remaining of this entertaining Euro 2016 qualifier.

Scotland had the world champions rocking when the lightning-quick Anya showed a clean pair of heels to the German defence before slotting the ball beyond Manuel Neuer.

Image source, Getty Images

Thomas Muller re-established Germany's lead with his second goal of the game but Watford's Anya continued to terrorise the Germans with his pace.

Mbehan: A certain red card as it is a goal scoring opportunity! Really poor decision #BBCSportsound #bbcsportscot

Ian Greig: Clear foul before their goal and 100% red card, 2 shocking decisions.