Download Oscillatory Integrals and Phenomena Beyond all Algebraic Orders Free Books - Read Books

Download Oscillatory Integrals and Phenomena Beyond all Algebraic Orders Free Books

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Format : PDF,EPUB,DOCX,DOC,MOBI

Springer

English - book pages - ISBN-10: 354044971X - ISBN-13: 9783540449713

4/5 by 101 votes

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During the last two decades, in several branches of science (water waves, crystal growth, travelling waves in one dimensional lattices, splitting of separatrices,...) different problems appeared in which the key point is the computation of exponentially small terms. This self-contained monograph gives new and rigorous mathematical tools which enable a systematic study of such problems. Starting with elementary illuminating examples, the book contains (i) new asymptotical tools for obtaining exponentially small equivalents of oscillatory integrals involving solutions of nonlinear differential equations; (ii) implementation of these tools for solving old open problems of bifurcation theory such as existence of homoclinic connections near resonances in reversible systems.

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Reviews

Anonymous

Zoey Thompson

OMG I love this book there is really no words to describe the way I feel about this book

Michael Demotte

Exciting to read and hard to put down

Demotte Walker

Incredible This book took over my life and I could not put it down.

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