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This book, immediately striking for its conciseness, is one of the most remarkable works ever produced on the subject of algebraic functions and their integrals. The distinguishing feature of the book is its third chapter, on rational functions, which gives an extremely brief and clear account of the theory of divisors. Here the integrands of the three elementary types of abelian integrals are set up by the arithmetic methods of Dedekind and Weber. The arithmetic treatment is definitely simpl
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