Good textbook for learning Sequent Calculus There are many modern text books teaching logic using Natural Deduction.
There are no books teaching logic using the axiomatic method (see Good book for learning and practising axiomatic logic )
Now in another post (Prove by introduction rules (P ⇒ Q) || (Q ⇒ R)⇒ (P NOT Q ⇒ R), (P ⇒ Q)⇒ !Q⇒ !P + more. ) somebody is struggling with sequent calculus
( http://en.wikipedia.org/wiki/Sequent_calculus ) 
Are there good textbooks to study logic using the sequent calculus method (or do you just have to be fluent in natural deduction before you should even have a look at it)?

1) I don't agree -- to respond to your initial remark -- that there are no good books teaching logic using the axiomatic method. Many classic texts do just that, famously Mendelson (which taught me serious logic, many moons ago). Of more recent axiomatic texts, Leary's Friendly Introduction is terrific. And for a book very carefully written for self-study, Goldrei's Propositional and Predicate Calculus seems excellent (I says "seems" as I've only just found out about this text!).
2) But to respond to the main question, about sequent calculi: I'm not sure what  level of text you are looking for. (And it also depends what exactly you count as a sequent calculus. In one sense, Lemmon's classic introductory text Beginning Logic can be said to use a sequent calculus in very thin disguise. Instead of writing a sequent as $A, B, C \Longrightarrow D$, say, he writes something like $1,4,7\ (n)\ D$ where the numbers on the left of the line-number refer back to the lines at which $A$, $B$ and $C$ respectively appear as assumptions, and then he writes his proofs linearly rather than as trees.)
But, for someone who knows a little logic already and who wants a Gentzen-style presentation, I'd say the place to start is Sara Negri and Jan von Plato's very nice text Structural Proof Theory.
