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.
Fractional Linear Transformations.
The Field of Automorphic Functions.
Automorphic and Algebraic Functions.
Algebraic Curves of Genus 0 and 1, Canonical Polygons.
The Period Matrix.
The Modular Group.
The Theorem of Riemann and Roch.
The Theorem of Abel.
The Jacobi Inversion Problem.
The Zeros of the Theta Function.
Cumulative Index: Vols.
I & II
Series: Wiley Classics Library : Book 2
Number Of Pages: 208
Published: 23rd February 1988
Country of Publication: US
Dimensions (cm): 23.25 x 15.0
Weight (kg): 0.26
Edition Number: 1
Edition Type: New edition