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Gregory Kozyreff - Practical Asymptotics, Häftad

Häftad, Engelska, 2026

Del 64 i serien Cambridge Texts in Applied Mathematics

Practical Asymptotics

Av Gregory Kozyreff

859 kr

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Beskrivning
Theoretical research sometimes resembles panning for gold: the first to 'discover' a given subject can take their pick of any bold simplifying assumptions and mine all the good nuggets before the rest of us join in. Still, some beautiful exact results may lie just below the surface. Every now and then, they are uncovered through mathematical tours de force. Short of extraordinary mathematical skills, there is, fortunately, a third way towards successful analytical investigations: Asymptotics - the craft of treating limiting cases. This book is addressed to scientists and engineers from Masters level up who want to enrich their numerical investigations with analytical results. It provides strategies for obtaining approximate results when parameters become small or large. Built round a large number of examples, it demonstrates how the techniques apply to a variety of problems, by considering applications from areas as diverse as quantum mechanics, elasticity, electromagnetism and population dynamics.
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Gregory Kozyreff is Senior Research Associate of the Fonds de la Recherche Scientifique – FNRS in the Physics Department at Université Libre de Bruxelles. His research centres on applying asymptotic techniques in nonlinear optics, elasticity, photonics (including photovoltaics), fluid mechanics, and pattern formation. He received the De Donder prize in mathematical physics from the Belgian Royal Academy and co-authored the book 'Applied Solid Mechanics' (2008).

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'Kozyreff's book is incredibly comprehensive: it provides a wealth of new examples to demonstrate classic techniques (Matched Asymptotic Expansions, Multiple Scales etc.) while also covering more unusual, but increasingly important, topics like Discrete and Exponential Asymptotics. Throughout, Kozyreff keeps the student in mind, from the careful integration of code to facilitate algebraic manipulations to a wealth of exercises with solutions provided in an Appendix.' Dominic Vella, University of Oxford

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