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Author: Harvey Segur
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 388
ISBN-13: 1475704356
DOWNLOAD EBOOKAn asymptotic expansion is a series that provides a sequence of increasingly accurate approximations to a function in a particular limit. The formal definition, given by Poincare (1886, Acta Math. 8:295), is as follows. Given a function,
Author: Vic Kowalenko
Publisher: Cambridge University Press
Published: 1995-09-14
Total Pages: 146
ISBN-13: 9780521497985
DOWNLOAD EBOOKThis work presents exciting new developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected.
Author: John P. Boyd
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 609
ISBN-13: 1461558255
DOWNLOAD EBOOKThis is the first thorough examination of weakly nonlocal solitary waves, which are just as important in applications as their classical counterparts. The book describes a class of waves that radiate away from the core of the disturbance but are nevertheless very long-lived nonlinear disturbances.
Author: John P. Boyd
Publisher: Springer
Published: 2011-09-23
Total Pages: 596
ISBN-13: 9781461558262
DOWNLOAD EBOOKThis is the first thorough examination of weakly nonlocal solitary waves, which are just as important in applications as their classical counterparts. The book describes a class of waves that radiate away from the core of the disturbance but are nevertheless very long-lived nonlinear disturbances.
Author: Ovidiu Costin
Publisher: CRC Press
Published: 2008-12-04
Total Pages: 266
ISBN-13: 1420070320
DOWNLOAD EBOOKIncorporating substantial developments from the last thirty years into one resource, Asymptotics and Borel Summability provides a self-contained introduction to asymptotic analysis with special emphasis on topics not covered in traditional asymptotics books. The author explains basic ideas, concepts, and methods of generalized Borel summability, tr
Author: G Brown
Publisher: World Scientific
Published: 1993-11-19
Total Pages: 214
ISBN-13: 981455314X
DOWNLOAD EBOOKThis volume provides a practical guide to building and using simulation models for international trade theory and policy. Through a sequence of carefully constructed and fully documented programs, the volume illustrates how numerical simulation can be used to analyze a wide array of problems. Modern computable general equilibrium (CGE) models for trade policy are challenging in their complexity, but can be thought of as constructions of much simpler building blocks. By developing the building blocks in a consistent manner, and gradually putting them together in more complex and interesting ways, the volume makes CGE accessible to anyone with a background in microeconomics/trade theory. The volume will be useful to graduate students and researchers in international trade looking for a detailed guide to building simulation models and to developing the skill set necessary to enter into the world of CGE modeling.
Author: Carl M. Bender
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 605
ISBN-13: 1475730691
DOWNLOAD EBOOKA clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.
Author: Robert B. Dingle
Publisher:
Published: 1973
Total Pages: 556
ISBN-13:
DOWNLOAD EBOOKAuthor: Frédéric Fauvet
Publisher: Springer
Published: 2017-11-17
Total Pages: 390
ISBN-13: 8876426132
DOWNLOAD EBOOKThis book is issued from a conference around resurgent functions in Physics and multiple zetavalues, which was held at the Centro di Ricerca Matematica Ennio de Giorgi in Pisa, on May 18-22, 2015. This meeting originally stemmed from the impressive upsurge of interest for Jean Ecalle's alien calculus in Physics, in the last years – a trend that has considerably developed since then. The volume contains both original research papers and surveys, by leading experts in the field, reflecting the themes that were tackled at this event: Stokes phenomenon and resurgence, in various mathematical and physical contexts but also related constructions in algebraic combinatorics and results concerning numbers, specifically multiple zetavalues.
Author: Victor Guillemin
Publisher: American Mathematical Soc.
Published: 1990
Total Pages: 500
ISBN-13: 0821816330
DOWNLOAD EBOOKSymplectic geometry and the theory of Fourier integral operators are modern manifestations of themes that have occupied a central position in mathematical thought for the past three hundred years--the relations between the wave and the corpuscular theories of light. The purpose of this book is to develop these themes, and present some of the recent advances, using the language of differential geometry as a unifying influence.
