For over a century lattice sums have been studied by mathematicians and scientists in diverse areas of science, in some cases unwittingly duplicating previous work. Here, at last, is a comprehensive overview of the substantial body of knowledge that now exists on lattice sums and their applications.

This volume gathers lectures by 8 distinguished pioneers of automata theory, including two Turing Award winners. In each contribution, the early developments of automata theory are reminisced about and future directions are suggested. Although some of the contributions go into rather intriguing technical details, most of the book is accessible to a wide audience interested in the progress of the age of computers.The book is a must fo...

This collection of 24 papers, which encompasses the construction and the qualitative as well as quantitative properties of solutions of Volterra, Fredholm, delay, impulse integral and integro-differential equations in various spaces on bounded as well as unbounded intervals, will conduce and spur further research in this direction.

The book should appreciably widen the exposure of Cholesky’s ‘remarkable personal achievements in topography and mathematics to a much larger international audience.’ The authors succeed very well to reach this aim. … The book is very readable and can be recommended especially to readers with interest in the history of numerical and applied mathematics. The book begins with Cholesky's biography, followed by his family’s history and a...

This new text/reference treats dynamical systems from a mathematical perspective, centering on multidimensional systems of real variables. Background material is carefully reviewed as it is used throughout the book, and ideas are introduced through examples. Numerous exercises help the reader understand presented theorems and master the techniques of the proofs and topic under consideration. The book treats the dynamics of both itera...

Modern fuzzy mathematics seems to become a standard tool of modeling systems with nonprobabilistic uncertainties. Despite an abundance of valuable journal papers on this subject, sometimes it is not so easy to find certain facts; even definitions of some concepts may vary. The authors of "Metric Spaces of Fuzzy Sets : Theory and Applications", leading experts in this field, have done excellent work, gathering and systematizing basic ...

This invaluable book contains selected papers of Prof Chuan-Chih Hsiung, renowned mathematician in differential geometry and founder and editor-in-chief of a unique international journal in this field, the Journal of Differential Geometry.During the period of 1935-1943, Prof Hsiung was in China working on projective differential geometry under Prof Buchin Su. In 1946, he went to the United States, where he gradually shifted to global...

Discover how math applies to the game of hockey, from the length of the rink to the calculation of players' stats.

Der mit zahlreichen populärwissenschaftlichen Werken zur Mathematik vertretene und gern gelesene Autor liefert hier zahlreiche interessante Einblicke in einige schöne Gebiete der Mathematik. Die gut lesbare und jedem Interessierten zugängliche Darstellung vermittelt dabei sehr plastisch etwas von der Faszination dieses Faches, entführt auch in weniger zugängliche Themenfelder, verdeutlicht sehr anschaulich Bezüge zur "Realität" und b...

"In fewer than 150 pages Vilenkin has packed a whole course on infinity: its history, philosophy, and mathematical theory. Abe Shenitzer's translation is very smooth and natural... When fractals have gone out of style, and chaos is no longer the flavor of the month, some kind of 'geometric set theory' or 'set-theoretic geometry' may very well remain, and In Search of Infinity may still be the best introduction to it."