"A reader looking for interesting problems tackled often by highly original methods, for precise results fully proved, and for procedures fully motivated, will be delighted." -- Mathematical Reviews.
Unfortunately, for many years.
Asymptotic estimates of series, integrals, and other expressions are commonly needed in physics, engineering, and other fields.
Its importance in many areas of pure and applied mathematics has been recognized since the days of Laplace.
Asymptotics is not new. "A reader looking for interesting problems tackled often by highly original methods, for precise results fully proved, and for procedures fully motivated, will be delighted." -- Mathematical Reviews