Chao Lu Bücher

A highly intelligent girl becomes entranced by the sounds that birds make. In time, this develops into a fascination - an obsession even - with avian communication; as an accomplished neuroscientist, she devotes her life to attempting to unlock the mystery of bird song. What celebrated novelist Neel Mukherjee explores here is the extent to which communication systems can exert a pull on the human psyche - as well as the costs and dangers that may await the individual who cedes to that pull. Mukherjee's gripping and poignant tale is accompanied by finely-detailed paintings by Chinese artist Lu Chao in which the relation between earth and air, weight and weightlessness, is constantly in question.

Focusing on the intersection of mathematics and algorithm design, the book offers a comprehensive exploration of algorithms for computing the finite Fourier transform (FFT) and finite convolution. Originally intended for a mixed audience of engineers and scientists, it expands to address the need for a deeper understanding of mathematical principles in algorithm development. The text emphasizes tools that bridge the gap between algorithm theory and practical implementation, particularly for complex digital signal processing (DSP) tasks, while providing rules to streamline coding for modern computing systems.

Multidimensional Fourier transforms are essential for analyzing large data sets in various fields, including seismology and medical imaging. This book presents algorithms designed for efficient computation on vector and parallel computers, addressing the challenges of multidimensional data processing. It highlights the similarities and differences between one-dimensional and multidimensional transforms, providing insights into optimization strategies. Aimed at applied mathematicians, computer scientists, and professionals in related fields, it covers topics like tensor products, finite Abelian groups, and specific algorithms for implementation.