Alexander I. Bobenko,Christian Klein's Computational Approach to Riemann Surfaces (Lecture Notes in PDF

By Alexander I. Bobenko,Christian Klein

ISBN-10: 3642174124

ISBN-13: 9783642174124

This quantity bargains a well-structured assessment of existent computational techniques to Riemann surfaces and people at the moment in improvement. The authors of the contributions signify the teams offering publically to be had numerical codes during this box. therefore this quantity illustrates which software program instruments can be found and the way they are often utilized in perform. furthermore examples for recommendations to partial differential equations and in floor conception are presented.
The meant viewers of this booklet is twofold. it may be used as a textbook for a graduate path in numerics of Riemann surfaces, during which case the traditional undergraduate heritage, i.e., calculus and linear algebra, is needed. particularly, no wisdom of the speculation of Riemann surfaces is predicted; the mandatory history during this idea is inside the advent bankruptcy.

At a similar time, this booklet is additionally meant for experts in geometry and mathematical physics utilising the idea of Riemann surfaces of their examine. it's the first e-book on numerics of Riemann surfaces that displays the growth made during this box over the past decade, and it comprises unique effects. There are progressively more functions that contain the review of concrete features of versions analytically defined by way of Riemann surfaces. Many challenge settings and computations during this quantity are stimulated by way of such concrete functions in geometry and mathematical physics.

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Computational Approach to Riemann Surfaces (Lecture Notes in Mathematics) by Alexander I. Bobenko,Christian Klein

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