By Jürgen Jost
Even if Riemann surfaces are a time-honoured box, this e-book is novel in its large viewpoint that systematically explores the relationship with different fields of arithmetic. it could possibly function an creation to modern arithmetic as an entire because it develops heritage fabric from algebraic topology, differential geometry, the calculus of adaptations, elliptic PDE, and algebraic geometry. it really is specified between textbooks on Riemann surfaces in together with an creation to Teichm?ller conception. The analytic strategy is also new because it relies at the concept of harmonic maps.