How is Johann Sebastian Bach considered math, scence, and physics?

To be really honest, I don't think there is a connection. Nonetheless, someone wrote a famous book which tried to connect all this: "Gödel, Escher, Bach: An Eternal Golden Braid", by Hofstadter. I don't think it's particularly meaningful, but it's kind of fun to read.

How to choose bach remedies for myself?

I know the feeling... This is what I did. I was going to mix 4 remedies in my bottle, but could not decide which ones. I went through my checklist chart, and wrote down all of the symptoms which I thought applied to me. After that, I went back through the list, and eliminated 2 which I thought were not as important as the others. I kept repeating the process until I had my 4 basic remedies to mix. Hope this helps you decide! http://www.reikispirithealer.com

How did Bach's works become a legacy or influenced others?

If you take the trouble to listen to Bach's music, you will hear what makes his music so very special. There are plenty of examples on YouTube, like this one, for example....... http://www.youtube.com/watch?v=QNMYHy8B7KU&feature=related

I play on a 3C bach trumpet mouthpiece would it be good to switch to a gold bach 3D & will it help my range?

I wouldn't suggest it. Changing mouthpieces to improve range should only be done if you already have a good range and need the boost for something in particular, like jazz. Yes, the D cup of a mouthpiece somewhat facilitates higher range than a C cup, but ask any trumpet pedagogist, playing on a C cup is far and away the best thing for a developing player. If anything, your goal should be to hit the extreme high register cleanly with the C cup, and then move to a B cup. It will be hard to play high on the new B cup but your sound dramatically improves and with enough practice it will come. Do lip slurs, scales, arpeggios and long tones higher than you are able to play. Only thing that might be acceptable is to practice mostly on a C cup and use that for symphonic works (never use anything shallower than a C cup in concert band/wind ensembles) and look into lead player mouthpieces if you need to do some screaming in jazz or marching band. Hint: Playing high is about 60% air support and proper breathing and 40% embouchure strength.

What was that famous book by Bach where he writes about piano technic?

You will be thinking of C.P.E Bach's "Versuch über die wahre Art, das Clavier zu spielen." (Berlin, 1753 & 1762) All the best,

How would I date a Bach trombone with an incorrect serial number?

Yes there is a way but it does cost a little money. What you do is take it into a Reputable repair facility and talk to the most experienced technician that you can find there. Do this 2-3 times. You will not get a definitive year but you will get a 5-10 year range. They look at the workmanship, finish and other areas that are present on the horn. They will then give you their best "guess". I have found that they are usually in the ball park. They usually also agree on the same period of time. 5-10 years in the life of a horn is not that big of deal.

What is Bach and Mozart's most famous pieces and compositions that every listener should know?

So you're looking for a "greates hits" list type o' thing, eh? Mozart Symphonies #40 and #41 "Jupiter" -- I think 35, 38 should be added Overture to "Le Nozze de Figaro", overture to "Don Giovanni" Piano concerto in C #21 (with the famous "Elvira Madigan" theme in the second mvt.) "Eine Kleine Nachtmusik" Piano sonata K545 "Sonata Facile" "Lacrimosa" from the Requiem (Ithink the whole thing should be a greatest hit) "Rondo alla Turka" from the A major sonata K 331 Bach: The 3rd and 4th Brandenburg conertos "Jesu Joy of Man's Desiring" Prelude #1 from the Well Tempered Clavier Book 1 Prelude and Fugue #2 from the same Prelude from Cello suite #1 Chaconne from Violin partita #5 Goldberg Variations Now in my opinion what you should have is a much longer list -- but I'm limiting myself to the "greatest hits" category. Others will add things that I overlooked I am sure. Glinzek

How long bach flower remedies are to be continued?

Until Mozart stops playing "Fur Elise" on his armpit...

What are some good Bach piano pieces that I can start with?

Typically: The Notebook for Anna Magdalena The inventions The two and three part sinfonias Best regards.

Bach........................?

Yep, the fugue master.