Computational Complexity

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Publisher : Cambridge University Press
ISBN 13 : 0521424267
Total Pages : 609 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Computational Complexity by : Sanjeev Arora

Download or read book Computational Complexity written by Sanjeev Arora and published by Cambridge University Press. This book was released on 2009-04-20 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.

The Complexity Theory Companion

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540674191
Total Pages : 396 pages
Book Rating : 4.6/5 (741 download)

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Book Synopsis The Complexity Theory Companion by : Lane Hemaspaandra

Download or read book The Complexity Theory Companion written by Lane Hemaspaandra and published by Springer Science & Business Media. This book was released on 2001-12-01 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is an accessible, algorithmically oriented guide to some of the most interesting techniques of complexity theory. The book shows that simple algorithms are at the heart of complexity theory. The book is organized by technique rather than by topic. Each chapter focuses on one technique: what it is, and what results and applications it yields.

Algebraic Complexity Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3662033380
Total Pages : 630 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Algebraic Complexity Theory by : Peter Bürgisser

Download or read book Algebraic Complexity Theory written by Peter Bürgisser and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: The algorithmic solution of problems has always been one of the major concerns of mathematics. For a long time such solutions were based on an intuitive notion of algorithm. It is only in this century that metamathematical problems have led to the intensive search for a precise and sufficiently general formalization of the notions of computability and algorithm. In the 1930s, a number of quite different concepts for this purpose were pro posed, such as Turing machines, WHILE-programs, recursive functions, Markov algorithms, and Thue systems. All these concepts turned out to be equivalent, a fact summarized in Church's thesis, which says that the resulting definitions form an adequate formalization of the intuitive notion of computability. This had and continues to have an enormous effect. First of all, with these notions it has been possible to prove that various problems are algorithmically unsolvable. Among of group these undecidable problems are the halting problem, the word problem theory, the Post correspondence problem, and Hilbert's tenth problem. Secondly, concepts like Turing machines and WHILE-programs had a strong influence on the development of the first computers and programming languages. In the era of digital computers, the question of finding efficient solutions to algorithmically solvable problems has become increasingly important. In addition, the fact that some problems can be solved very efficiently, while others seem to defy all attempts to find an efficient solution, has called for a deeper under standing of the intrinsic computational difficulty of problems.

Simply Complexity

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Publisher : Simon and Schuster
ISBN 13 : 1780740492
Total Pages : 256 pages
Book Rating : 4.7/5 (87 download)

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Book Synopsis Simply Complexity by : Neil Johnson

Download or read book Simply Complexity written by Neil Johnson and published by Simon and Schuster. This book was released on 2009-10-01 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new branch of science which will reveal how to avoid the rush hour, overcome cancer, and find the perfect date What do traffic jams, stock market crashes, and wars have in common? They are all explained using complexity, an unsolved puzzle that many researchers believe is the key to predicting - and ultimately solving - everything from terrorist attacks and pandemic viruses right down to rush hour traffic congestion. Complexity is considered by many to be the single most important scientific development since general relativity and promises to make sense of no less than the very heart of the Universe. Using it, scientists can find order emerging from seemingly random interactions of all kinds, from something as simple as flipping coins through to more challenging problems such as predicting shopping habits, the patterns in modern jazz, and the growth of cancer tumours.

Complexity Theory and the Social Sciences

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Publisher : Routledge
ISBN 13 : 1134714742
Total Pages : 215 pages
Book Rating : 4.1/5 (347 download)

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Book Synopsis Complexity Theory and the Social Sciences by : David Byrne

Download or read book Complexity Theory and the Social Sciences written by David Byrne and published by Routledge. This book was released on 2002-01-04 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos and complexity are the new buzz words in both science and contemporary society. The ideas they represent have enormous implications for the way we understand and engage with the world. Complexity Theory and the Social Sciences introduces students to the central ideas which surround the chaos/complexity theories. It discusses key concepts before using them as a way of investigating the nature of social research. By applying them to such familiar topics as urban studies, education and health, David Byrne allows readers new to the subject to appreciate the contribution which complexity theory can make to social research and to illuminating the crucial social issues of our day.

Complexity Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3540210458
Total Pages : 307 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Complexity Theory by : Ingo Wegener

Download or read book Complexity Theory written by Ingo Wegener and published by Springer Science & Business Media. This book was released on 2005-04-11 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reflects recent developments in its emphasis on randomized and approximation algorithms and communication models All topics are considered from an algorithmic point of view stressing the implications for algorithm design

Research Methods for Complexity Theory in Applied Linguistics

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Publisher : Multilingual Matters
ISBN 13 : 1788925769
Total Pages : 301 pages
Book Rating : 4.7/5 (889 download)

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Book Synopsis Research Methods for Complexity Theory in Applied Linguistics by : Phil Hiver

Download or read book Research Methods for Complexity Theory in Applied Linguistics written by Phil Hiver and published by Multilingual Matters. This book was released on 2019-12-06 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides practical guidance on research methods and designs that can be applied to Complex Dynamic Systems Theory (CDST) research. It discusses the contribution of CDST to the field of applied linguistics, examines what this perspective entails for research and introduces practical methods and templates, both qualitative and quantitative, for how applied linguistics researchers can design and conduct research using the CDST framework. Introduced in the book are methods ranging from those in widespread use in social complexity, to more familiar methods in use throughout applied linguistics. All are inherently suited to studying both dynamic change in context and interconnectedness. This accessible introduction to CDST research will equip readers with the knowledge to ensure compatibility between empirical research designs and the theoretical tenets of complexity. It will be of value to researchers working in the areas of applied linguistics, language pedagogy and educational linguistics and to scholars and professionals with an interest in second/foreign language acquisition and complexity theory.

A Complexity Theory for Public Policy

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Publisher : Routledge
ISBN 13 : 1136283463
Total Pages : 314 pages
Book Rating : 4.1/5 (362 download)

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Book Synopsis A Complexity Theory for Public Policy by : Göktuğ Morçöl

Download or read book A Complexity Theory for Public Policy written by Göktuğ Morçöl and published by Routledge. This book was released on 2013-05-02 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complexity theory has become popular in the natural and social sciences over the last few decades as a result of the advancements in our understanding of the complexities in natural and social phenomena. Concepts and methods of complexity theory have been applied by scholars of public affairs in North America and Europe, but a comprehensive framework for these applications is lacking. A Complexity Theory for Public Policy proposes a conceptual synthesis and sets a foundation for future developments and applications. In this book, Göktuğ Morçöl convincingly makes the case that complexity theory can help us understand better the self-organizational, emergent, and co-evolutionary characteristics of complex policy systems. In doing so, he discuss the epistemological implications of complexity theory and the methods complexity researchers use, and those methods they could use. As the complexity studies spread more around the world in the coming decades, the contents of this book will become appealing to larger audiences, particularly to scholars and graduate students in public affairs. The unique combination of synthesis and explanation of concepts and methods found in this book will serve as reference frames for future works.

Computability and Complexity Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461406811
Total Pages : 310 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Computability and Complexity Theory by : Steven Homer

Download or read book Computability and Complexity Theory written by Steven Homer and published by Springer Science & Business Media. This book was released on 2011-12-09 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and extensively expanded edition of Computability and Complexity Theory comprises essential materials that are core knowledge in the theory of computation. The book is self-contained, with a preliminary chapter describing key mathematical concepts and notations. Subsequent chapters move from the qualitative aspects of classical computability theory to the quantitative aspects of complexity theory. Dedicated chapters on undecidability, NP-completeness, and relative computability focus on the limitations of computability and the distinctions between feasible and intractable. Substantial new content in this edition includes: a chapter on nonuniformity studying Boolean circuits, advice classes and the important result of Karp─Lipton. a chapter studying properties of the fundamental probabilistic complexity classes a study of the alternating Turing machine and uniform circuit classes. an introduction of counting classes, proving the famous results of Valiant and Vazirani and of Toda a thorough treatment of the proof that IP is identical to PSPACE With its accessibility and well-devised organization, this text/reference is an excellent resource and guide for those looking to develop a solid grounding in the theory of computing. Beginning graduates, advanced undergraduates, and professionals involved in theoretical computer science, complexity theory, and computability will find the book an essential and practical learning tool. Topics and features: Concise, focused materials cover the most fundamental concepts and results in the field of modern complexity theory, including the theory of NP-completeness, NP-hardness, the polynomial hierarchy, and complete problems for other complexity classes Contains information that otherwise exists only in research literature and presents it in a unified, simplified manner Provides key mathematical background information, including sections on logic and number theory and algebra Supported by numerous exercises and supplementary problems for reinforcement and self-study purposes

Theory of Computational Complexity

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Publisher : John Wiley & Sons
ISBN 13 : 1118031164
Total Pages : 511 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Theory of Computational Complexity by : Ding-Zhu Du

Download or read book Theory of Computational Complexity written by Ding-Zhu Du and published by John Wiley & Sons. This book was released on 2011-10-24 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete treatment of fundamentals and recent advances in complexity theory Complexity theory studies the inherent difficulties of solving algorithmic problems by digital computers. This comprehensive work discusses the major topics in complexity theory, including fundamental topics as well as recent breakthroughs not previously available in book form. Theory of Computational Complexity offers a thorough presentation of the fundamentals of complexity theory, including NP-completeness theory, the polynomial-time hierarchy, relativization, and the application to cryptography. It also examines the theory of nonuniform computational complexity, including the computational models of decision trees and Boolean circuits, and the notion of polynomial-time isomorphism. The theory of probabilistic complexity, which studies complexity issues related to randomized computation as well as interactive proof systems and probabilistically checkable proofs, is also covered. Extraordinary in both its breadth and depth, this volume: * Provides complete proofs of recent breakthroughs in complexity theory * Presents results in well-defined form with complete proofs and numerous exercises * Includes scores of graphs and figures to clarify difficult material An invaluable resource for researchers as well as an important guide for graduate and advanced undergraduate students, Theory of Computational Complexity is destined to become the standard reference in the field.

Complexity Theory and Cryptology

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Publisher : Springer Science & Business Media
ISBN 13 : 3540221476
Total Pages : 488 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Complexity Theory and Cryptology by : Jörg Rothe

Download or read book Complexity Theory and Cryptology written by Jörg Rothe and published by Springer Science & Business Media. This book was released on 2005-07-22 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern cryptology increasingly employs mathematically rigorous concepts and methods from complexity theory. Conversely, current research topics in complexity theory are often motivated by questions and problems from cryptology. This book takes account of this situation, and therefore its subject is what may be dubbed "cryptocomplexity'', a kind of symbiosis of these two areas. This book is written for undergraduate and graduate students of computer science, mathematics, and engineering, and can be used for courses on complexity theory and cryptology, preferably by stressing their interrelation. Moreover, it may serve as a valuable source for researchers, teachers, and practitioners working in these fields. Starting from scratch, it works its way to the frontiers of current research in these fields and provides a detailed overview of their history and their current research topics and challenges.

Complexity Theory of Real Functions

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Publisher : Springer Science & Business Media
ISBN 13 : 1468468022
Total Pages : 318 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Complexity Theory of Real Functions by : K. Ko

Download or read book Complexity Theory of Real Functions written by K. Ko and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting with Cook's pioneering work on NP-completeness in 1970, polynomial complexity theory, the study of polynomial-time com putability, has quickly emerged as the new foundation of algorithms. On the one hand, it bridges the gap between the abstract approach of recursive function theory and the concrete approach of analysis of algorithms. It extends the notions and tools of the theory of computability to provide a solid theoretical foundation for the study of computational complexity of practical problems. In addition, the theoretical studies of the notion of polynomial-time tractability some times also yield interesting new practical algorithms. A typical exam ple is the application of the ellipsoid algorithm to combinatorial op timization problems (see, for example, Lovasz [1986]). On the other hand, it has a strong influence on many different branches of mathe matics, including combinatorial optimization, graph theory, number theory and cryptography. As a consequence, many researchers have begun to re-examine various branches of classical mathematics from the complexity point of view. For a given nonconstructive existence theorem in classical mathematics, one would like to find a construc tive proof which admits a polynomial-time algorithm for the solution. One of the examples is the recent work on algorithmic theory of per mutation groups. In the area of numerical computation, there are also two tradi tionally independent approaches: recursive analysis and numerical analysis.

School Leadership and Complexity Theory

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Publisher : Routledge
ISBN 13 : 1135140537
Total Pages : 230 pages
Book Rating : 4.1/5 (351 download)

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Book Synopsis School Leadership and Complexity Theory by : Keith Morrison

Download or read book School Leadership and Complexity Theory written by Keith Morrison and published by Routledge. This book was released on 2012-12-06 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in complexity theory, a relation of chaos theory, has become well established in the business community in recent years. Complexity theory argues that systems are complex interactions of many parts which cannot be predicted by accepted linear equations. In this book, Keith Morrison introduces complexity theory to the world of education, drawing out its implications for school leadership. He suggests that schools are complex, nonlinear and unpredictable systems, and that this impacts significantly within them. As schools race to keep up with change and innovation, he suggests that it is possible to find order without control and to lead without coercion. Key areas: * schools and self-organisation * leadership for self-organisation * supporting emergence through the learning organisation * schools and their environments * communication * fitness landscapes This book will be of interest to headteachers and middle managers, and those on higher level courses in educational leadership and management.

Navigating Complexity

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Publisher : Spiro Press
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Navigating Complexity by : Arthur Battram

Download or read book Navigating Complexity written by Arthur Battram and published by Spiro Press. This book was released on 1999 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: A powerful guide to thinking and managing your way into the new economy. A how to think book for practicing managers.

Complexity and Real Computation

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Publisher : Springer Science & Business Media
ISBN 13 : 1461207010
Total Pages : 456 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Complexity and Real Computation by : Lenore Blum

Download or read book Complexity and Real Computation written by Lenore Blum and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical theory of computation has its origins in the work of Goedel, Turing, Church, and Kleene and has been an extraordinarily successful framework for theoretical computer science. The thesis of this book, however, is that it provides an inadequate foundation for modern scientific computation where most of the algorithms are real number algorithms. The goal of this book is to develop a formal theory of computation which integrates major themes of the classical theory and which is more directly applicable to problems in mathematics, numerical analysis, and scientific computing. Along the way, the authors consider such fundamental problems as: * Is the Mandelbrot set decidable? * For simple quadratic maps, is the Julia set a halting set? * What is the real complexity of Newton's method? * Is there an algorithm for deciding the knapsack problem in a ploynomial number of steps? * Is the Hilbert Nullstellensatz intractable? * Is the problem of locating a real zero of a degree four polynomial intractable? * Is linear programming tractable over the reals? The book is divided into three parts: The first part provides an extensive introduction and then proves the fundamental NP-completeness theorems of Cook-Karp and their extensions to more general number fields as the real and complex numbers. The later parts of the book develop a formal theory of computation which integrates major themes of the classical theory and which is more directly applicable to problems in mathematics, numerical analysis, and scientific computing.

Parameterized Complexity Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 354029953X
Total Pages : 494 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Parameterized Complexity Theory by : J. Flum

Download or read book Parameterized Complexity Theory written by J. Flum and published by Springer Science & Business Media. This book was released on 2006-05-01 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a state-of-the-art introduction into both algorithmic techniques for fixed-parameter tractability and the structural theory of parameterized complexity classes. It presents detailed proofs of recent advanced results that have not appeared in book form before and replaces the earlier publication "Parameterized Complexity" by Downey and Fellows as the definitive book on this subject. The book will interest computer scientists, mathematicians and graduate students engaged with algorithms and problem complexity.

Cormac McCarthy

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Publisher : Manchester University Press
ISBN 13 : 1526148579
Total Pages : 277 pages
Book Rating : 4.5/5 (261 download)

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Book Synopsis Cormac McCarthy by : Lydia R. Cooper

Download or read book Cormac McCarthy written by Lydia R. Cooper and published by Manchester University Press. This book was released on 2021-06-29 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining the fields of evolutionary economics and the humanities, this book examines McCarthy’s literary works as a significant case study demonstrating our need to recognise the interrelated complexities of economic policies, environmental crises, and how public policy and rhetoric shapes our value systems. In a world recovering from global economic crisis and poised on the brink of another, studying the methods by which literature interrogates narratives of inevitability around global economic inequality and eco-disaster is ever more relevant.