![The basis problem for modular forms on [capital Greek]Gamma₀([italic]N)](https://covers.openlibrary.org/b/isbn/0821824813-M.jpg?default=false)
The "basis problem'' for modular forms (of degree one) is to find a basis for a space of modular forms with elements whose Fourier coefficients can be computed explicitly. The authors give a general treatment for all cases. The main idea in the solution is to consider two kinds …
This synthesis lecture presents an intuitive introduction to the mathematics of motion and deformation in computer graphics. Starting with familiar concepts in graphics, such as Euler angles, quaternions, and affine transformations, we illustrate that a mathematical theory behin…
This synthesis lecture presents an intuitive introduction to the mathematics of motion and deformation in computer graphics. Starting with familiar concepts in graphics, such as Euler angles, quaternions, and affine transformations, we illustrate that a mathematical theory behin…
"This book describes how to use quaternions and spinors to study conformal immersions of Riemann surfaces into R[superscript 3]. The first part develops the necessary quaternionic calculus on surfaces, its application to surface theory and the study of conformal immersions and s…
1. Variational problems related to Sobolev inequalities on Carnot groups. 1.1. Introduction. 1.2. Carnot groups. 1.3. Sobolev spaces and their weak topologies. 1.4. The best constant in the Folland-Stein inequality. 1.5. The best constant in the presence of symmetries. 1.6. Glob…