Titel: Theory of the Algebraic Functions of a Complex Variable Classic Reprint
Verlag: Forgotten Books
Ver�ffentlichungsdatum: 2018
Sprache: Englisch
ISBN-10: 1330185986
ISBN-13: 9781330185988
Bindung: PAP
Zustand: New

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Excerpt from Theory of the Algebraic Functions of a Complex Variable

The theory uf the algebraic functions developed in the following pages is algebraic in its methods and perfectly general. It holds for any algebraic equation reducible or irreducible, however complicated its singularities may be and whatever its character at infinity. The development of the theory may be said to culminate in the comple mentary theorem, in Chapter XII, from which theorem a number of well-known theorems in the theory of the algebraic functions immediately follow as corollaries.

The principles here presented have been in the possession of the writer for some eight years past and had in fact, in a somewhat different form, already been written up with a view to publication in the summer of 1898. Other matters however inter vened and the work was laid aside for a long period. Since then further interruptions have occurred, the theory however has been twice rewritten in the interval and has probably lost nothing by the delay in publication. The writer has not felt it to be necessary to go into the theory of the Abelian integrals, his object having been attained on presenting the purely algebraic side of his subject.

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