Handbook Of Computability And Complexity In Analysis
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Handbook Of Computability And Complexity In Analysis
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Author : Vasco Brattka
language : en
Publisher: Springer Nature
Release Date : 2021-06-04
Handbook Of Computability And Complexity In Analysis written by Vasco Brattka and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-04 with Computers categories.
Computable analysis is the modern theory of computability and complexity in analysis that arose out of Turing's seminal work in the 1930s. This was motivated by questions such as: which real numbers and real number functions are computable, and which mathematical tasks in analysis can be solved by algorithmic means? Nowadays this theory has many different facets that embrace topics from computability theory, algorithmic randomness, computational complexity, dynamical systems, fractals, and analog computers, up to logic, descriptive set theory, constructivism, and reverse mathematics. In recent decades computable analysis has invaded many branches of analysis, and researchers have studied computability and complexity questions arising from real and complex analysis, functional analysis, and the theory of differential equations, up to (geometric) measure theory and topology. This handbook represents the first coherent cross-section through most active research topics on the more theoretical side of the field. It contains 11 chapters grouped into parts on computability in analysis; complexity, dynamics, and randomness; and constructivity, logic, and descriptive complexity. All chapters are written by leading experts working at the cutting edge of the respective topic. Researchers and graduate students in the areas of theoretical computer science and mathematical logic will find systematic introductions into many branches of computable analysis, and a wealth of information and references that will help them to navigate the modern research literature in this field.
Computability And Complexity In Analysis
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Author : International Conference on Computability and Complexity in Analysis
language : en
Publisher:
Release Date : 2006
Computability And Complexity In Analysis written by International Conference on Computability and Complexity in Analysis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
Computable Analysis
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Author : Klaus Weihrauch
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-09-14
Computable Analysis written by Klaus Weihrauch 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 2000-09-14 with Computers categories.
Merging fundamental concepts of analysis and recursion theory to a new exciting theory, this book provides a solid fundament for studying various aspects of computability and complexity in analysis. It is the result of an introductory course given for several years and is written in a style suitable for graduate-level and senior students in computer science and mathematics. Many examples illustrate the new concepts while numerous exercises of varying difficulty extend the material and stimulate readers to work actively on the text.
Computable Analysis
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Author : Klaus Weihrauch
language : en
Publisher: Springer
Release Date : 2013-11-20
Computable Analysis written by Klaus Weihrauch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-20 with Computers categories.
Merging fundamental concepts of analysis and recursion theory to a new exciting theory, this book provides a solid fundament for studying various aspects of computability and complexity in analysis. It is the result of an introductory course given for several years and is written in a style suitable for graduate-level and senior students in computer science and mathematics. Many examples illustrate the new concepts while numerous exercises of varying difficulty extend the material and stimulate readers to work actively on the text.
Computability And Complexity Theory
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Author : Steven Homer
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Computability And Complexity Theory written by Steven Homer 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 2013-03-09 with Computers categories.
Intended for use in an introductory graduate course in theoretical computer science, this text contains material that should be core knowledge in the theory of computation for all graduates in computer science. It is self-contained and is best suited for a one semester course. The text starts with classical computability theory which forms the basis for complexity theory. This has the pedagogical advantage that students learn a qualitative subject before advancing to a quantitative one. Since this is a graduate course, students should have some knowledge of such topics as automata theory, formal languages, computability theory, or complexity theory.
Theory Of Computation A Formula Handbook
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Author : N.B. Singh
language : en
Publisher: N.B. Singh
Release Date :
Theory Of Computation A Formula Handbook written by N.B. Singh and has been published by N.B. Singh this book supported file pdf, txt, epub, kindle and other format this book has been release on with Computers categories.
"Theory of Computation: A Formula Handbook" is a comprehensive yet succinct guide that distills the intricate principles of computational theory into clear and accessible formulas. Covering key topics such as automata theory, formal languages, computability, and complexity theory, this handbook equips students, researchers, and professionals with the essential tools for understanding and analyzing computational problems. Whether you're delving into the foundations of computer science or exploring advanced theoretical concepts, this book provides a valuable reference for navigating the diverse landscape of computational theory with ease and confidence.
Computability And Complexity In Analysis
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Author : Jens Blanck
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-05-23
Computability And Complexity In Analysis written by Jens Blanck 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 2001-05-23 with Computers categories.
This book constitutes the thoroughly refereed post-proceedings of the 4th International Workshop on Computability and Complexity in Analysis, CCA 2000, held in Swansea, UK, in September 2000. The 23 revised full papers presented together with a report on a competition of exact real arithmetic systems were carefully selected from 28 papers accepted for presentation during the workshop. The book presents a cross-section on current research on computability and complexity in analysis.
New Computational Paradigms
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Author : S.B. Cooper
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-28
New Computational Paradigms written by S.B. Cooper 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 2007-11-28 with Computers categories.
This superb exposition of a complex subject examines new developments in the theory and practice of computation from a mathematical perspective, with topics ranging from classical computability to complexity, from biocomputing to quantum computing. This book is suitable for researchers and graduate students in mathematics, philosophy, and computer science with a special interest in logic and foundational issues. Most useful to graduate students are the survey papers on computable analysis and biological computing. Logicians and theoretical physicists will also benefit from this book.
Computational Complexity
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Author : Sanjeev Arora
language : en
Publisher: Cambridge University Press
Release Date : 2009-04-20
Computational Complexity written by Sanjeev Arora 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 2009-04-20 with Computers categories.
New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.
Algorithms And Complexity
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Author : Gerard Meurant
language : en
Publisher: Elsevier
Release Date : 2014-06-28
Algorithms And Complexity written by Gerard Meurant and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.
This first part presents chapters on models of computation, complexity theory, data structures, and efficient computation in many recognized sub-disciplines of Theoretical Computer Science.