Mark Semenovich Burgin's Books

Information and Computation

Essays on Scientific and Philosophical Understanding of Foundations of Information and Computation

By: Mark Semenovich Burgin,Gordana Dodig Crnkovic

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Information and Computation

Essays on Scientific and Philosophical Understanding of Foundations of Information and Computation

By: Mark Semenovich Burgin,Gordana Dodig Crnkovic

This volume provides a cutting-edge view of the world's leading authorities in fields where information and computation play a central role.

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Page Count

530

Publisher

World Scientific

Published Date

ISBN 10

9814295485

ISBN 13

9789814295482

Super-Recursive Algorithms

By: Mark Burgin

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* The first exposition on super-recursive algorithms, systematizing all main classes and providing an accessible, focused examination of the theory and its ramifications * Demonstrates how these algorithms are more appropriate as mathematical models for modern computers and how they present a better framework for computing methods * Develops a new practically-oriented perspective on the theory of algorithms, computation, and automata, as a whole

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Page Count

314

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387268065

ISBN 13

9780387268064

Theory Of Knowledge: Structures And Processes

By: Mark Burgin

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Theory Of Knowledge: Structures And Processes

By: Mark Burgin

This book aims to synthesize different directions in knowledge studies into a unified theory of knowledge and knowledge processes. It explicates important relations between knowledge and information. It provides the readers with understanding of the essence and structure of knowledge, explicating operations and process that are based on knowledge and vital for society.The book also highlights how the theory of knowledge paves the way for more advanced design and utilization of computers and networks.

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Page Count

965

Publisher

World Scientific

Published Date

ISBN 10

9814522694

ISBN 13

9789814522694

Non-diophantine Arithmetics In Mathematics, Physics And Psychology

By: Mark Burgin,Marek Czachor

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Non-diophantine Arithmetics In Mathematics, Physics And Psychology

By: Mark Burgin,Marek Czachor

For a long time, all thought there was only one geometry — Euclidean geometry. Nevertheless, in the 19th century, many non-Euclidean geometries were discovered. It took almost two millennia to do this. This was the major mathematical discovery and advancement of the 19th century, which changed understanding of mathematics and the work of mathematicians providing innovative insights and tools for mathematical research and applications of mathematics.A similar event happened in arithmetic in the 20th century. Even longer than with geometry, all thought there was only one conventional arithmetic of natural numbers — the Diophantine arithmetic, in which 2+2=4 and 1+1=2. It is natural to call the conventional arithmetic by the name Diophantine arithmetic due to the important contributions to arithmetic by Diophantus. Nevertheless, in the 20th century, many non-Diophantine arithmetics were discovered, in some of which 2+2=5 or 1+1=3. It took more than two millennia to do this. This discovery has even more implications than the discovery of new geometries because all people use arithmetic.This book provides a detailed exposition of the theory of non-Diophantine arithmetics and its various applications. Reading this book, the reader will see that on the one hand, non-Diophantine arithmetics continue the ancient tradition of operating with numbers while on the other hand, they introduce extremely original and innovative ideas.

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Page Count

960

Publisher

World Scientific

Published Date

ISBN 10

9811214328

ISBN 13

9789811214325

Semitopological Vector Spaces

Hypernorms, Hyperseminorms, and Operators

By: Mark Burgin

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Semitopological Vector Spaces

Hypernorms, Hyperseminorms, and Operators

By: Mark Burgin

This new volume shows how it is possible to further develop and essentially extend the theory of operators in infinite-dimensional vector spaces, which plays an important role in mathematics, physics, information theory, and control theory. The book describes new mathematical structures, such as hypernorms, hyperseminorms, hypermetrics, semitopological vector spaces, hypernormed vector spaces, and hyperseminormed vector spaces. It develops mathematical tools for the further development of functional analysis and broadening of its applications. Exploration of semitopological vector spaces, hypernormed vector spaces, hyperseminormed vector spaces, and hypermetric vector spaces is the main topic of this book. A new direction in functional analysis, called quantum functional analysis, has been developed based on polinormed and multinormed vector spaces and linear algebras. At the same time, normed vector spaces and topological vector spaces play an important role in physics and in control theory. To make this book comprehendible for the reader and more suitable for students with some basic knowledge in mathematics, denotations and definitions of the main mathematical concepts and structures used in the book are included in the appendix, making the book useful for enhancing traditional courses of calculus for undergraduates, as well as for separate courses for graduate students. The material of Semitopological Vector Spaces: Hypernorms, Hyperseminorms and Operators is closely related to what is taught at colleges and universities. It is possible to use a definite number of statements from the book as exercises for students because their proofs are not given in the book but left for the reader.

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Page Count

324

Publisher

CRC Press

Published Date

ISBN 10

1351800299

ISBN 13

9781351800297

Structural Reality

By: Mark Semenovich Burgin

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Structural Reality

By: Mark Semenovich Burgin

In this attractive and very accessible new book, Mark Burgin, acclaimed author of Neoclassical Analysis: Calculus Closer to the Real World and Theory of Named Sets, examines the deep mysteries of structures, exploring different faces of reality, explicating the structure of the world's existence and explicating fundamental issues of symbols, signs and concepts. This book is aimed at a wide audience of readers who want to better understand the world in which they live. That is why the author tried to write the main body of the book, that is, all its chapters, without mathematical formulas and formal constructions. However, for a mathematician, it is impossible even to imagine such an important topic as structural reality without a mathematical theory. So, formal constructions, exact definitions, mathematical formulas and examples of advanced mathematical structures are given in the Appendix.

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Page Count

197

Publisher

Nova Science Publishers

Published Date

ISBN 10

1620816512

ISBN 13

9781620816516

Theory of Information

Fundamentality, Diversity and Unification

By: Mark Burgin

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Theory of Information

Fundamentality, Diversity and Unification

By: Mark Burgin

Presents a fresh approach to scientific understanding of information phenomena. Based on an analysis of information processes in nature, technology, and society, as well as on the main directions in information theory, this book offers a theory that synthesizes various directions into a unified system.

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Page Count

689

Publisher

World Scientific

Published Date

ISBN 10

9812835482

ISBN 13

9789812835482

Information and Computation

Essays on Scientific and Philosophical Understanding of Foundations of Information and Computation

By: Mark Semenovich Burgin,Gordana Dodig Crnkovic

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Information and Computation

Essays on Scientific and Philosophical Understanding of Foundations of Information and Computation

By: Mark Semenovich Burgin,Gordana Dodig Crnkovic

This volume provides a cutting-edge view of the world's leading authorities in fields where information and computation play a central role.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

530

Publisher

World Scientific

Published Date

ISBN 10

9814295485

ISBN 13

9789814295482

Book's by Mark Semenovich Burgin

Information and Computation

Information and Computation

Super-Recursive Algorithms

Super-Recursive Algorithms

Theory Of Knowledge: Structures And Processes

Theory Of Knowledge: Structures And Processes

Non-diophantine Arithmetics In Mathematics, Physics And Psychology

Non-diophantine Arithmetics In Mathematics, Physics And Psychology

Semitopological Vector Spaces

Semitopological Vector Spaces

Structural Reality

Structural Reality

Theory of Information

Theory of Information

Information and Computation

Information and Computation

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