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.... A very readable account is given of the topology of Riemann surfaces and of the general properties of abelian integrals. Abel's theorem is presented, with some simple applications. The inversion problem is studied for the cases of genus zero and genus unity. The chapter on the reduction of singularities is very noteworthy.... A final chapter illustrates the general theory with some examples. In particular, constructive methods are given for treating algebraic relations which are of the third degree in one of the variables.... The arithmetic theory of algebraic functions is a good thing. In making its study easy, Bliss has performed a service which will win him the gratitude of an ever increasing number of readers. --Bulletin of the American Mathematical Society

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**Book Description **American Mathematical Society, United States, 2008. Paperback. Book Condition: New. Language: English . Brand New Book. 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.A very readable account is given of the topology of Riemann surfaces and of the general properties of abelian integrals. Abel s theorem is presented, with some simple applications. The inversion problem is studied for the cases of genus zero and genus unity. The chapter on the reduction of singularities is very noteworthy.A final chapter illustrates the general theory with some examples. In particular, constructive methods are given for treating algebraic relations which are of the third degree in one of the variables.The arithmetic theory of algebraic functions is a good thing. In making its study easy, Bliss has performed a service which will win him the gratitude of an ever increasing number of readers - Bulletin of the American Mathematical Society. Bookseller Inventory # AAN9780821846070

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Published by
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**Book Description **American Mathematical Society, United States, 2008. Paperback. Book Condition: New. Language: English . Brand New Book. 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.A very readable account is given of the topology of Riemann surfaces and of the general properties of abelian integrals. Abel s theorem is presented, with some simple applications. The inversion problem is studied for the cases of genus zero and genus unity. The chapter on the reduction of singularities is very noteworthy.A final chapter illustrates the general theory with some examples. In particular, constructive methods are given for treating algebraic relations which are of the third degree in one of the variables.The arithmetic theory of algebraic functions is a good thing. In making its study easy, Bliss has performed a service which will win him the gratitude of an ever increasing number of readers - Bulletin of the American Mathematical Society. Bookseller Inventory # AAN9780821846070

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**Book Description **American Mathematical Society, 1933. PAP. Book Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Bookseller Inventory # CE-9780821846070

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**Book Description **American Mathematical Society, 1933. Paperback. Book Condition: New. book. Bookseller Inventory # M0821846078

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**Book Description **Amer Mathematical Society, 2008. Paperback. Book Condition: Brand New. 218 pages. 10.00x7.00x0.50 inches. In Stock. Bookseller Inventory # __0821846078

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**Book Description **American Mathematical Society, 1933. Paperback. Book Condition: New. Never used!. Bookseller Inventory # P110821846078

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