It's a manga of 23 volumes (ongoing) who has been adapted in dorama, anime and soon in 2 movies.

The son of a famous pianist, music student Shinichi Chiaki dreams of studying abroad and becoming a conductor like his mentor. Unfortunately, his fear of flying grounds his lofty plans! As he watches other classmates achieve what he has always wanted, Shinichi wonders if he should quit music altogether.

Then one day he meets fellow student Megumi Noda, also known as Nodame. This oddball girl cannot cook, clean, or even read a music score, but she can play the piano in incomparable Cantabile style. And she teaches Chiaki something that he has forgotten: to enjoy his music, no matter where he is.
From Del Rey

• Associated names : のだめカンタービレ, 交响情人梦, 노다메 칸타빌레.
  
• Made by : NINOMIYA Tomoko.
  
• Genres : comedy, drama, josei, romance, school life, slice of life.
  
• Year : 2001.
  
• English : 15 volumes by Del Rey (ongoing).
  
• French : 4 volumes by Pika (ongoing).

My judgement : My favorite manga I think, it's so good and nodame-chan is so odd and funny ^^

I have read and seen it (in a drama), it's really fun, Nodame-chan is so strange XD. You must read it !!