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This is a collection of papers on the work of Leonid Kantorovich, a Russian mathematician and economist, and a leading contributor to the fields of optimization and mathematical economics. Kantorovich invented linear
This book brings into focus the contrast between explicit and implicit algorithmic descriptions of objects and presents a new geometric language for the study of combinatorial and logical problems in complexity theory.
Radiation can be absorbed and re-emitted many times in atomic vapors before it reaches the boundaries of its container. This effect, known as radiation trapping, plays an important role wherever atomic vapors
The Nine Chapters on the Mathematical Art has been the most important mathematical source in China for the past 2000 years, comparable in significance to Euclid's Elements in the West. The Nine
Computer science and physics have been closely linked since the birth of modern computing. This book serves as a standard reference and pedagogical aid to statistical physics methods in computer science, with
This title allows students to see how the organic chemistry taught in undergraduate courses is applied by medicinal chemists in industry. This book describes briefly how each drug works and then reviews
This book, the first to cover this rapidly developing field, unites the classical deterministic theory of dynamical systems with probability theory, finding numerous applications in disciplines ranging from physics and biology to
This book explains why nature's patterns - the markings on animals, windblown ripples of sand, the forms of water in motion - are woven by self-organization, through simple, local interactions between their
This text represents the proceedings of the Fourth International Congress on Industrial and Applied Mathematics, which took place in Edinburgh in 1999. The book includes talks from the 30 plenary speakers who
This book is a guided tour of geometry, from Euclid through to algebraic geometry. It shows how mathematicians use a variety of techniques to tackle problems, and it links geometry to other
There are many types of infinite-dimensional groups, most of which have been studied separately from each other since the 1950's. It is now possible to fit these apparently disparate groups into one
This text examines degree theory and some of its applications in analysis. Topics described include: degree theory for continuous functions; the multiplication theorem; Hopf's theorem; Brower's fixed point theorem; odd mappings; and
There are more than ten thousand particle accelerators in the world from the linear accelerators used for cancer therapy in modern hospitals to the giant 'atom-smashers' at international particle physics laboratories used
This book is a modern treatment of a classical area of operator theory. Written in a meticulous and detailed style, with the modern graduate student of analysis in mind, it contains many
The finite element method (FEM) can be successfully applied to various field problems in solid mechanics, fluid mechanics and electrical engineering. FEM is a numerical method widely ised in computer aided engineering,
There exists a wide variety of patterns in nature, from inert matter such as crystalline dendrites and flames, to filamentous fungi and neurones in the living world. Their structural evolution during growth
This text unifies the concepts of information, codes and cryptography as first studied by Shannon in his seminal papers on communication and secrecy systems. The first five chapters cover the fundamental ideas
This monograph uses the language of homological algebra and sheaf theory to describe both classical results and recent developments in the spectral theory of linear operators. It draws together concepts from function
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