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Asymptotology: Ideas, Methods, and Applications (Mathematics and Its Applications)
 
 
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Asymptotology: Ideas, Methods, and Applications (Mathematics and Its Applications) [Hardcover]

Igor V. Andrianov (Author), Leonid I. Manevitch (Author)

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Book Description

November 30, 2002 1402009607 978-1402009600 1

The main features of this volume are: 1) It is devoted to the basic principles of asymptotics and their applications; 2) It presents both traditional approaches as well as less widely used and new approaches such as one- and two-point Padé Approximants, constitutive equations, methods of boundary perturbations, etc.; 3) A general introduction to the subject suitable for non-specialists. Compared with other published books in the field the authors have paid special attention to examples and the discussion of results rather than burying them in formalism, in notation and in technical details.

Audience: Researchers in mechanics, physics and applied mathematics as well as in engineering. Graduate students and even high school students can benefit from reading the book, which does not require any scientific knowledge of mathematics and physics.


Editorial Reviews

Review

"[...]quite interesting and should be informative for those wishing to gain some insight into the power of asymptotic methods and their pervasiveness in applied mathematics and the physical sciences without becoming too involved in their detailed mathematical description."
(Mathematical Reviews, 2003)

Language Notes

Text: English (translation)
Original Language: Russian

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Inside This Book (learn more)
First Sentence:
Almost, every physical theory, formulated in the most general way, is very difficult, from the mathematical point, of view. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
asymptotic mathematics, asymptotic methods work, minimal jet, asymptotic approach, initial equation, catastrophe theory
Key Phrases - Capitalized Phrases (CAPs): (learn more)
French Academy, Paris Academy of Sciences, Petersburg Academy of Sciences, Van Dyke, Fathers of Asymptotic Methods, Polytechnic School, Lord Rayleigh, World War
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