Lectures on Selected Topics in Mathematical Physics

Lingua: inglese

Editore: Morgan and Claypool Publishers, US, 2015

1681741660 / 9781681741666

Da: Rarewaves USA, HEBRON, KY, U.S.A.Rarewaves USA

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This volume is a basic introduction to certain aspects of elliptic functions and elliptic integrals. Primarily, the elliptic functions stand out as closed solutions to a class of physical and geometrical problems giving rise to nonlinear differential equations. While these nonlinear equations may not be the types of greatest interest currently, the fact that they are solvable exactly in terms of functions about which much is known makes up for this. The elliptic functions of Jacobi, or equivalently the Weierstrass elliptic functions, inhabit the literature on current problems in condensed matter and statistical physics, on solitons and conformal representations, and all sorts of famous problems in classical mechanics.The lectures on elliptic functions have evolved as part of the first semester of a course on theoretical and mathematical methods given to first and second year graduate students in physics and chemistry at the University of North Dakota. They are for graduate students or for researchers who want an elementary introduction to the subject that nevertheless leaves them with enough of the details to address real problems. The style is supposed to be informal. The intention is to introduce the subject as a moderate extension of ordinary trigonometry in which the reference circle is replaced by an ellipse. This entre depends upon fewer tools and has seemed less intimidating that other typical introductions to the subject that depend on some knowledge of complex variables. The first three lectures assume only calculus, including the chain rule and elementary knowledge of differential equations. In the later lectures, the complex analytic properties are introduced naturally so that a more complete study becomes possible.

Codice articolo LU-9781681741666

Titolo
Lectures on Selected Topics in Mathematical Physics
Autore
William A. Schwalm
Editore
Morgan and Claypool Publishers, US
Anno di pubblicazione
2015
Condizione
New
Rilegatura
Paperback
Lingua
inglese
ISBN 10
1681741660
ISBN 13
9781681741666
Peso dell'articolo
333 grammi

Rarewaves USA

HEBRON, KY, U.S.A.

Venditore con 5 stelle

Venditore AbeBooks dal 10 giugno 2025

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