Handbook of Computability Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook of Computability Theory write by E.R. Griffor. This book was released on 1999-10-01. Handbook of Computability Theory available in PDF, EPUB and Kindle. The chapters of this volume all have their own level of presentation. The topics have been chosen based on the active research interest associated with them. Since the interest in some topics is older than that in others, some presentations contain fundamental definitions and basic results while others relate very little of the elementary theory behind them and aim directly toward an exposition of advanced results. Presentations of the latter sort are in some cases restricted to a short survey of recent results (due to the complexity of the methods and proofs themselves). Hence the variation in level of presentation from chapter to chapter only reflects the conceptual situation itself. One example of this is the collective efforts to develop an acceptable theory of computation on the real numbers. The last two decades has seen at least two new definitions of effective operations on the real numbers.
Handbook of Computability and Complexity in Analysis
Handbook of Computability and Complexity in Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook of Computability and Complexity in Analysis write by Vasco Brattka. This book was released on 2021-06-04. Handbook of Computability and Complexity in Analysis available in PDF, EPUB and Kindle. 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.
Algorithms and Theory of Computation Handbook, Volume 1
Algorithms and Theory of Computation Handbook, Volume 1 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algorithms and Theory of Computation Handbook, Volume 1 write by Mikhail J. Atallah. This book was released on 2009-11-20. Algorithms and Theory of Computation Handbook, Volume 1 available in PDF, EPUB and Kindle. Algorithms and Theory of Computation Handbook, Second Edition: General Concepts and Techniques provides an up-to-date compendium of fundamental computer science topics and techniques. It also illustrates how the topics and techniques come together to deliver efficient solutions to important practical problems. Along with updating and revising many
Computational Complexity
Computational Complexity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Computational Complexity write by Sanjeev Arora. This book was released on 2009-04-20. Computational Complexity available in PDF, EPUB and Kindle. New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.
Computable Analysis
Computable Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Computable Analysis write by Klaus Weihrauch. This book was released on 2000-09-14. Computable Analysis available in PDF, EPUB and Kindle. 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.
