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

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By Alexander I. Bobenko,Christian Klein

This quantity bargains a well-structured assessment of existent computational ways to Riemann surfaces and people at present in improvement. The authors of the contributions signify the teams supplying 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. additionally examples for options to partial differential equations and in floor conception are presented.
The meant viewers of this e-book is twofold. it may be used as a textbook for a graduate path in numerics of Riemann surfaces, within 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 heritage during this conception is inside the creation bankruptcy.

At an identical time, this booklet can also be meant for experts in geometry and mathematical physics utilizing the idea of Riemann surfaces of their examine. it's the first ebook on numerics of Riemann surfaces that displays the development made during this box over the last decade, and it comprises unique effects. There are an increasing number of functions that contain the overview 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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Computational Approach to Riemann Surfaces (Lecture Notes in Mathematics) by Alexander I. Bobenko,Christian Klein

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