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

By Alexander I. Bobenko,Christian Klein

This quantity deals a well-structured evaluation of existent computational methods 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. hence this quantity illustrates which software program instruments can be found and the way they are often utilized in perform. furthermore examples for ideas to partial differential equations and in floor conception are presented.
The meant viewers of this ebook is twofold. it may be used as a textbook for a graduate direction in numerics of Riemann surfaces, during which case the traditional undergraduate history, i.e., calculus and linear algebra, is needed. specifically, no wisdom of the speculation of Riemann surfaces is anticipated; the mandatory historical past during this idea is inside the advent bankruptcy.

At a similar time, this publication is usually meant for experts in geometry and mathematical physics using the idea of Riemann surfaces of their examine. it's the first booklet on numerics of Riemann surfaces that displays the growth made during this box over the past decade, and it includes unique effects. There are increasingly more functions that contain the overview of concrete features of versions analytically defined when it comes to Riemann surfaces. Many challenge settings and computations during this quantity are inspired by means of such concrete functions in geometry and mathematical physics.

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