Computational Complexity

Computational Complexity

Author: Sanjeev Arora

Publisher: Cambridge University Press

Published: 2009-04-20

Total Pages: 609

ISBN-13: 0521424267

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New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.


A Crude Look at the Whole

A Crude Look at the Whole

Author: John H. Miller

Publisher: Basic Books

Published: 2016-01-05

Total Pages: 268

ISBN-13: 0465073867

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A top expert explains why a social and economic understanding of complex systems will help society to anticipate and confront our biggest challenges Imagine trying to understand a stained glass window by breaking it into pieces and examining it one shard at a time. While you could probably learn a lot about each piece, you would have no idea about what the entire picture looks like. This is reductionism -- the idea that to understand the world we only need to study its pieces -- and it is how most social scientists approach their work. In A Crude Look at the Whole, social scientist and economist John H. Miller shows why we need to start looking at whole pictures. For one thing, whether we are talking about stock markets, computer networks, or biological organisms, individual parts only make sense when we remember that they are part of larger wholes. And perhaps more importantly, those wholes can take on behaviors that are strikingly different from that of their pieces. Miller, a leading expert in the computational study of complex adaptive systems, reveals astounding global patterns linking the organization of otherwise radically different structures: It might seem crude, but a beehive's temperature control system can help predict market fluctuations and a mammal's heartbeat can help us understand the "heartbeat" of a city and adapt urban planning accordingly. From enduring racial segregation to sudden stock market disasters, once we start drawing links between complex systems, we can start solving what otherwise might be totally intractable problems. Thanks to this revolutionary perspective, we can finally transcend the limits of reductionism and discover crucial new ideas. Scientifically founded and beautifully written, A Crude Look at the Whole is a powerful exploration of the challenges that we face as a society. As it reveals, taking the crude look might be the only way to truly see.


The Complexity Theory Companion

The Complexity Theory Companion

Author: Lane Hemaspaandra

Publisher: Springer Science & Business Media

Published: 2001-12-01

Total Pages: 396

ISBN-13: 9783540674191

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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.


Introduction to the Theory of Complexity

Introduction to the Theory of Complexity

Author: Daniel Pierre Bovet

Publisher: Prentice Hall PTR

Published: 1994

Total Pages: 304

ISBN-13:

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Using a balanced approach that is partly algorithmic and partly structuralist, this book systematically reviews the most significant results obtained in the study of computational complexity theory. Features over 120 worked examples, over 200 problems, and 400 figures.


Complexity Theory and the Social Sciences

Complexity Theory and the Social Sciences

Author: David Byrne

Publisher: Routledge

Published: 2002-01-04

Total Pages: 215

ISBN-13: 1134714742

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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.


A Complexity Theory for Public Policy

A Complexity Theory for Public Policy

Author: Göktuğ Morçöl

Publisher: Routledge

Published: 2013-05-02

Total Pages: 314

ISBN-13: 1136283463

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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.


Theory of Computational Complexity

Theory of Computational Complexity

Author: Ding-Zhu Du

Publisher: John Wiley & Sons

Published: 2011-10-24

Total Pages: 511

ISBN-13: 1118031164

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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

Complexity Theory

Author: Ingo Wegener

Publisher: Springer Science & Business Media

Published: 2005-04-11

Total Pages: 307

ISBN-13: 3540210458

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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


Complexity Theory in Public Administration

Complexity Theory in Public Administration

Author: Elizabeth Anne Eppel

Publisher: Routledge

Published: 2020-05-21

Total Pages: 201

ISBN-13: 1000586804

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This book reframes theoretical, methodological and practical approaches to public administration by drawing on complexity theory concepts. It aims to provide alternative perspectives on the theory, research and practice of public administration, avoiding assumptions of traditional theory-building. The contributors explain both how ongoing non-linear interactions result in macro patterns becoming established in a complexity-informed world view, and the implications of these dynamics. Complexity theory explains the way in which many repeated non-linear interactions among elements within a whole can result in processes and patterns emerging without design or direction, thus necessitating a reconsideration of the predictability and controllability of many aspects of public administration. As well as illustrating how complexity theory informs new research methods for studying this field, the book also shines a light on the different practices required of public administrators to cope with the complexity encountered in the public policy and public management fields. This book was originally published as a special issue of the Public Management Review journal.


School Leadership and Complexity Theory

School Leadership and Complexity Theory

Author: Keith R. B. Morrison

Publisher: Psychology Press

Published: 2002

Total Pages: 230

ISBN-13: 0415277833

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This book moves forward the agenda significantly. It enables educational leadership and management discourse to be informed by the latest views that are becoming well established in business and organisational literature in practice.