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Applied Asymptotic Analysis (Graduate Studies in Mathematics,)



Rok: 2006
ISBN: 9780821840788
OKCZID: 110126742

Citace (dle ČSN ISO 690):
MILLER, Peter D. Applied asymptotic analysis. Providence: American Mathematical Society, c2006. xv, 467 s. Graduate studies in mathematics, 75.


Anotace

 

This book is a survey of asymptotic methods set in the current applied research context of wave propagation. It stresses rigorous analysis in addition to formal manipulations. Asymptotic expansions developed in the text are justified rigorously, and students are shown how to obtain solid error estimates for asymptotic formulae. The book relates examples and exercises to subjects of current research interest, such as the problem of locating the zeros of Taylor polynomials of entire nonvanishing functions and the problem of counting integer lattice points in subsets of the plane with various geometrical properties of the boundary. The book is intended for a beginning graduate course on asymptotic analysis in applied mathematics and is aimed at students of pure and applied mathematics as well as science and engineering. The basic prerequisite is a background in differential equations, linear algebra, advanced calculus, and complex variables at the level of introductory undergraduate courses on these subjects.


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