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• catalog abstract ""This is the English translation of a volume originally published only in Russian and now out of print. The book was written by Jacques Hadamard on the work of Poincare."--BOOK JACKET. "Poincare's creation of a theory of automorphic functions in the early 1880s was one of the most significant mathematical achievements of the nineteenth century. It directly inspired the uniformization theorem, led to a class of functions adequate to solve all linear ordinary differential equations, and focused attention on a large new class of discrete groups. It was the first significant application of non-Euclidean geometry."--Jacket. "This unique exposition by Hadamard offers a fascinating and intuitive introduction to the subject of automorphic functions and illuminates its connection to differential equations, a connection not often found in other texts."--Jacket.".
• catalog contributor b11488320.
• catalog contributor b11488321.
• catalog contributor b11488322.
• catalog created "1999.".
• catalog date "1999".
• catalog date "1999.".
• catalog dateCopyrighted "1999.".
• catalog description ""This is the English translation of a volume originally published only in Russian and now out of print. The book was written by Jacques Hadamard on the work of Poincare."--BOOK JACKET. "Poincare's creation of a theory of automorphic functions in the early 1880s was one of the most significant mathematical achievements of the nineteenth century. It directly inspired the uniformization theorem, led to a class of functions adequate to solve all linear ordinary differential equations, and focused attention on a large new class of discrete groups. It was the first significant application of non-Euclidean geometry."--Jacket.".
• catalog description ""This unique exposition by Hadamard offers a fascinating and intuitive introduction to the subject of automorphic functions and illuminates its connection to differential equations, a connection not often found in other texts."--Jacket.".
• catalog description "Includes bibliographical references.".
• catalog description "Introduction / the publishers of the Russian translation -- Historical introduction / Jeremy Gray -- A brief history of automorphic function theory, 1880-1930 / Jeremy Gray -- Ch. I. The group of motions of the hyperbolic plane and its properly discontinuous subgroups -- Ch. II. Discontinuous groups in three geometries. Fuchsian functions -- Ch. III. Fuchsian functions -- Ch. IV. Kleinian groups and functions -- Ch. V. Algebraic functions and linear algebraic differential equations -- Ch. VI. Fuchsian groups and geodesics.".
• catalog extent "xii, 95 p. :".
• catalog identifier "0821820303 (softcover : alk. paper)".
• catalog isPartOf "History of mathematics ; v. 17".
• catalog issued "1999".
• catalog issued "1999.".
• catalog language "eng rus".
• catalog language "eng".
• catalog publisher "Providence, RI : American Mathematical Society ; [London] : London Mathematical Society,".
• catalog subject "515/.9 21".
• catalog subject "Automorphic functions.".
• catalog subject "Geometry, Non-Euclidean.".
• catalog subject "QA353.A9 H33 1999".
• catalog tableOfContents "Introduction / the publishers of the Russian translation -- Historical introduction / Jeremy Gray -- A brief history of automorphic function theory, 1880-1930 / Jeremy Gray -- Ch. I. The group of motions of the hyperbolic plane and its properly discontinuous subgroups -- Ch. II. Discontinuous groups in three geometries. Fuchsian functions -- Ch. III. Fuchsian functions -- Ch. IV. Kleinian groups and functions -- Ch. V. Algebraic functions and linear algebraic differential equations -- Ch. VI. Fuchsian groups and geodesics.".
• catalog title "Non-Euclidean geometry in the theory of automorphic functions / Jacques Hadamard ; Jeremy J. Gray and Abe Shenitzer, editors ; translated by Abe Shenitzer with historical introduction by Jeremy J. Gray.".
• catalog type "text".