I'm looking for a book recommendation satisfying the above requirements, with the presentation accessible to graduate students. Ideally, it would develop real and complex analysis axiomatically, rigorously prove all the major theorems, make clear the logical dependencies, but avoid any unnecessary fluff. Conciseness, economy, logical precision and elegance of presentation are especially valued, i.e., not the regular calculus textbooks with 700+ pages, colorful exercises, real world applications, etc. Just the pure mathematics.
Many thanks in advance.
Rudin's Principles of Mathematical Analysis is exactly what I was looking for. Thanks to J. E. Greilhuber for the recommendation.