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

By Alexander I. Bobenko,Christian Klein

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 symbolize the teams delivering publically on hand 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. moreover examples for options to partial differential equations and in floor idea are presented.
The meant viewers of this publication is twofold. it may be used as a textbook for a graduate path in numerics of Riemann surfaces, during which case the normal undergraduate history, i.e., calculus and linear algebra, is needed. particularly, no wisdom of the speculation of Riemann surfaces is predicted; the required historical past during this thought is inside the creation bankruptcy.

At a similar time, this publication is usually meant for experts in geometry and mathematical physics employing the speculation of Riemann surfaces of their study. it's the first publication on numerics of Riemann surfaces that displays the growth made during this box over the past decade, and it includes unique effects. There are an increasing number of functions that contain the assessment of concrete features of types analytically defined by way of 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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