Titlebook: Riemann Surfaces; Hershel M. Farkas,Irwin Kra Textbook 1992Latest edition Springer Science+Business Media New York 1992 Hilbert space.Mero

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書目名稱Riemann Surfaces影響因子(影響力)




書目名稱Riemann Surfaces影響因子(影響力)學(xué)科排名




書目名稱Riemann Surfaces網(wǎng)絡(luò)公開度




書目名稱Riemann Surfaces網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Riemann Surfaces被引頻次




書目名稱Riemann Surfaces被引頻次學(xué)科排名




書目名稱Riemann Surfaces年度引用




書目名稱Riemann Surfaces年度引用學(xué)科排名




書目名稱Riemann Surfaces讀者反饋




書目名稱Riemann Surfaces讀者反饋學(xué)科排名

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Textbook 1992Latest edition particularly pleasing that the subject of Riemann surfaces has attracted the attention of a new generation of mathematicians from (newly) adjacent fields (for example, those interested in hyperbolic manifolds and iterations of rational maps) and young physicists who have been convinced (certainly n

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An Overview,n right, it has long been a source of inspiration, intuition, and examples for many branches of mathematics. These include complex manifolds, Lie groups, algebraic number theory, harmonic analysis, abelian varieties, algebraic topology.

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Riemann Surfaces,aps between compact surfaces. We assume the reader is familiar with the elementary concepts in algebraic-topology and differential-geometry needed for the study of Riemann surfaces. To establish notation, these concepts are reviewed. The necessary surface topology is discussed. In later chapters we

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Existence Theorems,ant meromorphic functions. We do so by constructing certain harmonic differentials (with singularities). From the existence of harmonic differentials, it is trivial to construct meromorphic differentials. A ratio of two linearly independent meromorphic differentials produces a non-constant meromorph

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Compact Riemann Surfaces,important theorems concerning compact Riemann surfaces: the Riemann-Roch theorem, Abel’s theorem, and the Jacobi inversion theorem. Many applications of these theorems are obtained; and the simplest compact Riemann surfaces, the hyperelliptic ones, are discussed in great detail.

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Examples,te representations of compact Riemann surfaces given by algebraic functions, and computing on these surfaces various objects of interest. The applications will give rise to new characterizations of surfaces with some given property. The format of this chapter will differ considerably from the format

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Riemann Surfaces, the study of Riemann surfaces. To establish notation, these concepts are reviewed. The necessary surface topology is discussed. In later chapters we will show how the complex structure can help obtain many of the needed results about surface topology. The chapter ends with a development of various integration formulae.

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