Lectures on Modular Functions of One Complex Variable
by H. Maass
Publisher: Tata institute of Fundamental Research 1983
Number of pages: 242
The book provides an introduction to the theory of modular functions and modular forms and may be described as elementary, in as much as basic facts from the theory of functions of a complex variable and some properties of the elementary transcendental functions form the only prerequisites.
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by Jan Nekovar - Institut de Mathematiques de Jussieu
Contents: Introduction; Abel's Method; A Crash Course on Riemann Surfaces; Cubic curves; Elliptic functions; Theta functions; Construction of elliptic functions; Lemniscatology or Complex Multiplication by Z[i]; Group law on smooth cubic curves.
by Leif Mejlbro - BookBoon
Polynomials are the first class of functions that the student meets. Therefore, one may think that they are easy to handle. They are not in general! Topics as e.g. finding roots in a polynomial and the winding number are illustrated.
by Nicolas Lerner - Birkhäuser
This is a book on pseudodifferential operators, with emphasis on non-selfadjoint operators, a priori estimates and localization in the phase space. The first part of the book is accessible to graduate students with a decent background in Analysis.
by G. N. Watson - Cambridge University Press
This brief monograph offers a single-volume compilation of propositions employed in proofs of Cauchy's theorem. Developing an arithmetical basis that avoids geometrical intuitions, Watson also provides a brief account of the various applications ...