The Pi Calculus

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The Pi Calculus

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Author : Davide Sangiorgi
language : en
Publisher: Cambridge University Press
Release Date : 2003-10-16

The Pi Calculus written by Davide Sangiorgi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-16 with Computers categories.

Graduate text on the p-calculus, a mathematical model of mobile computing systems.

Communicating And Mobile Systems

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Author : Robin Milner
language : en
Publisher: Cambridge University Press
Release Date : 1999-05-20

Communicating And Mobile Systems written by Robin Milner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-05-20 with Computers categories.

First account of new theory of communication in computing which describes networks, as well as parts of computer systems.

A Distributed Pi Calculus

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Author : Matthew Hennessy
language : en
Publisher: Cambridge University Press
Release Date : 2007-03-08

A Distributed Pi Calculus written by Matthew Hennessy and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-08 with Computers categories.

Distributed systems are fast becoming the norm in computer science. Formal mathematical models and theories of distributed behaviour are needed in order to understand them. This book proposes a distributed pi-calculus called Dpi, for describing the behaviour of mobile agents in a distributed world. It is based on an existing formal language, the pi-calculus, to which it adds a network layer and a primitive migration construct. A mathematical theory of the behaviour of these distributed systems is developed, in which the presence of types plays a major role. It is also shown how in principle this theory can be used to develop verification techniques for guaranteeing the behavior of distributed agents. The text is accessible to computer scientists with a minimal background in discrete mathematics. It contains an elementary account of the pi-calculus, and the associated theory of bisimulations. It also develops the type theory required by Dpi from first principles.

Pi A Source Book

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Author : Jonathan M. Borwein
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Pi A Source Book written by Jonathan M. Borwein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.

Our intention in this collection is to provide, largely through original writings, an ex tended account of pi from the dawn of mathematical time to the present. The story of pi reflects the most seminal, the most serious, and sometimes the most whimsical aspects of mathematics. A surprising amount of the most important mathematics and a signifi cant number of the most important mathematicians have contributed to its unfolding directly or otherwise. Pi is one of the few mathematical concepts whose mention evokes a response of recog nition and interest in those not concerned professionally with the subject. It has been a part of human culture and the educated imagination for more than twenty-five hundred years. The computation of pi is virtually the only topic from the most ancient stratum of mathematics that is still of serious interest to modern mathematical research. To pursue this topic as it developed throughout the millennia is to follow a thread through the history of mathematics that winds through geometry, analysis and special functions, numerical analysis, algebra, and number theory. It offers a subject that provides mathe maticians with examples of many current mathematical techniques as weIl as a palpable sense of their historical development. Why a Source Book? Few books serve wider potential audiences than does a source book. To our knowledge, there is at present no easy access to the bulk of the material we have collected.

Pi In Nature Art And Culture

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Author : Marcel Danesi
language : en
Publisher: BRILL
Release Date : 2020-12-07

Pi In Nature Art And Culture written by Marcel Danesi and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-07 with Mathematics categories.

In Pi (π) in Nature, Art, and Culture Marcel Danesi revisits the importance of π as a pattern in the structure of reality, fitting in with the Pythagorean view of Order. Pi has cropped up in formulas that describe natural and physical structures which, on the surface, seem to have nothing to do with a circle, but might harbor the archetype of circularity as a principle. Through π, this book thus revisits the implicit ancient Greek view that geometry was a 'hermeneutic science,' a discipline aiming to investigate the connectivity among numbers, shapes, and natural phenomena. It also examines its manifestations in aesthetic, symbolic and cultural structures, which point to an abiding fascination with the circle as an unconscious archetype. Hermeneutic geometry is ultimately about the exploration of the meanings of geometric-mathematical notions to science and human life.

The Calculus Of Computation

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Author : Aaron R. Bradley
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-09-18

The Calculus Of Computation written by Aaron R. Bradley and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-18 with Computers categories.

Computational logic is a fast-growing field with applications in artificial intelligence, constraint solving, and the design and verification of software and hardware systems. Written with graduate and advanced undergraduate students in mind, this textbook introduces computational logic from the foundations of first-order logic to state-of-the-art decision procedures for arithmetic, data structures, and combination theories. This textbook also presents a logical approach to engineering correct software. The increasing ubiquity of computers makes implementing correct systems more important than ever. Verification exercises develop the reader's facility in specifying and verifying software using logic. The treatment of verification concludes with an introduction to the static analysis of software, an important component of modern verification systems. For readers interested in learning more about computational logic, decision procedures, verification, and other areas of formal methods, the final chapter outlines courses of further study.

The Origins Of Infinitesimal Calculus

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Author : Margaret E. Baron
language : en
Publisher: Elsevier
Release Date : 2014-05-09

The Origins Of Infinitesimal Calculus written by Margaret E. Baron and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-09 with Mathematics categories.

The Origins of Infinitesimal Calculus focuses on the evolution, development, and applications of infinitesimal calculus. The publication first ponders on Greek mathematics, transition to Western Europe, and some center of gravity determinations in the later 16th century. Discussions focus on the growth of kinematics in the West, latitude of forms, influence of Aristotle, axiomatization of Greek mathematics, theory of proportion and means, method of exhaustion, discovery method of Archimedes, and curves, normals, tangents, and curvature. The manuscript then examines infinitesimals and indivisibles in the early 17th century and further advances in France and Italy. Topics include the link between differential and integral processes, concept of tangent, first investigations of the cycloid, and arithmetization of integration methods. The book reviews the infinitesimal methods in England and Low Countries and rectification of arcs. The publication is a vital source of information for historians, mathematicians, and researchers interested in infinitesimal calculus.

Communication And Concurrency

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Author : Robin Milner
language : en
Publisher: Prentice Hall PTR
Release Date : 1989

Communication And Concurrency written by Robin Milner and has been published by Prentice Hall PTR this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.

Mathematics of Computing -- Parallelism.

A History Of Pi

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Author : Petr Beckmann
language : en
Publisher: Macmillan
Release Date : 1971

A History Of Pi written by Petr Beckmann and has been published by Macmillan this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.

Traces the history of the mathematical constant pi from the stone age through the computer age, discussing the background of the times when pi progressed, and when it did not.