Elliptic Functions (London Mathematical Society Student - download pdf or read online

By J. V. Armitage,W. F. Eberlein

In its first six chapters this 2006 textual content seeks to provide the fundamental rules and homes of the Jacobi elliptic features as an old essay, an try and resolution the interesting query: 'what could the remedy of elliptic capabilities were like if Abel had built the information, instead of Jacobi?' as a result, it really is in line with the belief of inverting integrals which come up within the conception of differential equations and, specifically, the differential equation that describes the movement of an easy pendulum. The later chapters current a extra traditional method of the Weierstrass services and to elliptic integrals, after which the reader is brought to the richly various purposes of the elliptic and comparable features. functions spanning mathematics (solution of the overall quintic, the useful equation of the Riemann zeta function), dynamics (orbits, Euler's equations, Green's functions), and likewise likelihood and facts, are discussed.

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Elliptic Functions (London Mathematical Society Student Texts) by J. V. Armitage,W. F. Eberlein

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