Develops the higher parts of function theory in a unified presentation. Starts with elliptic integrals and functions and uniformization theory, continues with automorphic functions and the theory of abelian integrals and ends with the theory of abelian functions and modular functions in several variables. The last topic originates with the author and appears here for the first time in book form.
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Develops the higher parts of function theory in a unified presentation. Starts with elliptic integrals and functions and uniformization theory, continues with automorphic functions and the theory of abelian integrals and ends with the theory of abelian functions and modular functions in several variables. The last topic originates with the author and appears here for the first time in book form.
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First Sentence:
Fractional linear transformations appeared in the last section of Chapter 2 (Volume I). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
normal fundamental region, conjugate crosscuts, hyperbolic polygon group, noneuclidean segment, noneuclidean polygon, equivalent boundary points, canonical dissection, improper vertices, noneuclidean area, elliptic modular group, compact fundamental region, symmetric rational function, improper vertex, noneuclidean line, fractional linear substitutions, canonical polygons, theta quotients, theta products, noneuclidean circle, noneuclidean motion, modular matrix, modular substitution, polygon groups, noneuclidean distance, integral divisor New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Fractional linear transformations appeared in the last section of Chapter 2 (Volume I). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
normal fundamental region, conjugate crosscuts, hyperbolic polygon group, noneuclidean segment, noneuclidean polygon, equivalent boundary points, canonical dissection, improper vertices, noneuclidean area, elliptic modular group, compact fundamental region, symmetric rational function, improper vertex, noneuclidean line, fractional linear substitutions, canonical polygons, theta quotients, theta products, noneuclidean circle, noneuclidean motion, modular matrix, modular substitution, polygon groups, noneuclidean distance, integral divisor New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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