Computers and Intractability

Computers and Intractability PDF

Author: Michael R. Garey

Publisher: W.H. Freeman

Published: 1979

Total Pages: 364

ISBN-13:

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"Shows how to recognize NP-complete problems and offers proactical suggestions for dealing with them effectively. The book covers the basic theory of NP-completeness, provides an overview of alternative directions for further research, and contains and extensive list of NP-complete and NP-hard problems, with more than 300 main entries and several times as many results in total. [This book] is suitable as a supplement to courses in algorithm design, computational complexity, operations research, or combinatorial mathematics, and as a text for seminars on approximation algorithms or computational complexity. It provides not only a valuable source of information for students but also an essential reference work for professionals in computer science"--Back cover.

What Can Be Computed?

What Can Be Computed? PDF

Author: John MacCormick

Publisher: Princeton University Press

Published: 2018-05-01

Total Pages: 404

ISBN-13: 0691170665

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An accessible and rigorous textbook for introducing undergraduates to computer science theory What Can Be Computed? is a uniquely accessible yet rigorous introduction to the most profound ideas at the heart of computer science. Crafted specifically for undergraduates who are studying the subject for the first time, and requiring minimal prerequisites, the book focuses on the essential fundamentals of computer science theory and features a practical approach that uses real computer programs (Python and Java) and encourages active experimentation. It is also ideal for self-study and reference. The book covers the standard topics in the theory of computation, including Turing machines and finite automata, universal computation, nondeterminism, Turing and Karp reductions, undecidability, time-complexity classes such as P and NP, and NP-completeness, including the Cook-Levin Theorem. But the book also provides a broader view of computer science and its historical development, with discussions of Turing's original 1936 computing machines, the connections between undecidability and Gödel's incompleteness theorem, and Karp's famous set of twenty-one NP-complete problems. Throughout, the book recasts traditional computer science concepts by considering how computer programs are used to solve real problems. Standard theorems are stated and proven with full mathematical rigor, but motivation and understanding are enhanced by considering concrete implementations. The book's examples and other content allow readers to view demonstrations of—and to experiment with—a wide selection of the topics it covers. The result is an ideal text for an introduction to the theory of computation. An accessible and rigorous introduction to the essential fundamentals of computer science theory, written specifically for undergraduates taking introduction to the theory of computation Features a practical, interactive approach using real computer programs (Python in the text, with forthcoming Java alternatives online) to enhance motivation and understanding Gives equal emphasis to computability and complexity Includes special topics that demonstrate the profound nature of key ideas in the theory of computation Lecture slides and Python programs are available at whatcanbecomputed.com

The Nature of Computation

The Nature of Computation PDF

Author: Cristopher Moore

Publisher: OUP Oxford

Published: 2011-08-11

Total Pages: 1498

ISBN-13: 0191620807

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Computational complexity is one of the most beautiful fields of modern mathematics, and it is increasingly relevant to other sciences ranging from physics to biology. But this beauty is often buried underneath layers of unnecessary formalism, and exciting recent results like interactive proofs, phase transitions, and quantum computing are usually considered too advanced for the typical student. This book bridges these gaps by explaining the deep ideas of theoretical computer science in a clear and enjoyable fashion, making them accessible to non-computer scientists and to computer scientists who finally want to appreciate their field from a new point of view. The authors start with a lucid and playful explanation of the P vs. NP problem, explaining why it is so fundamental, and so hard to resolve. They then lead the reader through the complexity of mazes and games; optimization in theory and practice; randomized algorithms, interactive proofs, and pseudorandomness; Markov chains and phase transitions; and the outer reaches of quantum computing. At every turn, they use a minimum of formalism, providing explanations that are both deep and accessible. The book is intended for graduate and undergraduate students, scientists from other areas who have long wanted to understand this subject, and experts who want to fall in love with this field all over again.

P, NP, and NP-Completeness

P, NP, and NP-Completeness PDF

Author: Oded Goldreich

Publisher: Cambridge University Press

Published: 2010-08-16

Total Pages:

ISBN-13: 1139490095

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The focus of this book is the P versus NP Question and the theory of NP-completeness. It also provides adequate preliminaries regarding computational problems and computational models. The P versus NP Question asks whether or not finding solutions is harder than checking the correctness of solutions. An alternative formulation asks whether or not discovering proofs is harder than verifying their correctness. It is widely believed that the answer to these equivalent formulations is positive, and this is captured by saying that P is different from NP. Although the P versus NP Question remains unresolved, the theory of NP-completeness offers evidence for the intractability of specific problems in NP by showing that they are universal for the entire class. Amazingly enough, NP-complete problems exist, and furthermore hundreds of natural computational problems arising in many different areas of mathematics and science are NP-complete.

Computational Complexity

Computational Complexity PDF

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.

New Directions in Human Information Behavior

New Directions in Human Information Behavior PDF

Author: Amanda Spink

Publisher: Springer Science & Business Media

Published: 2006-01-31

Total Pages: 270

ISBN-13: 9781402036675

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New Directions in Human Information Behavior, co-edited by Drs. Amanda Spink and Charles Cole provides an understanding of the new directions, leading edge theories and models in human information behavior. Information behavior is conceptualized as complex human information related processes that are embedded within an individual’s everyday social and life processes. The book presents chapters by an interdisciplinary range of scholars who show new directions that often challenge the established views and paradigms of information behavior studies. Beginning with an evolutionary framework, the book examines information behaviors over various epochs of human existence from the Palaeolithic Era and within pre-literate societies, to contemporary behaviors by 21st century humans. Drawing upon social and psychological science theories the book presents a more integrated and holistic approach to the understanding of information behaviors that include multitasking and non-linear longitudinal processes, individuals’ information ground, information practices and information sharing, digital behaviors and human information organizing behaviors. The final chapter of the book integrates these new approaches and presents an overview of the key trends, theories and models for further research. This book is directly relevant to information scientists, librarians, social and evolutionary psychologists. Undergraduate and graduate students, academics and information professionals interested in human information behavior will find this book of particular benefit.

Doing Physics with Scientific Notebook

Doing Physics with Scientific Notebook PDF

Author: Joseph Gallant

Publisher: John Wiley & Sons

Published: 2012-03-05

Total Pages: 527

ISBN-13: 1119941946

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The goal of this book is to teach undergraduate students how to use Scientific Notebook (SNB) to solve physics problems. SNB software combines word processing and mathematics in standard notation with the power of symbolic computation. As its name implies, SNB can be used as a notebook in which students set up a math or science problem, write and solve equations, and analyze and discuss their results. Written by a physics teacher with over 20 years experience, this text includes topics that have educational value, fit within the typical physics curriculum, and show the benefits of using SNB. This easy-to-read text: Provides step-by-step instructions for using Scientific Notebook (SNB) to solve physics problems Features examples in almost every section to enhance the reader's understanding of the relevant physics and to provide detailed instructions on using SNB Follows the traditional physics curriculum, so it can be used to supplement teaching at all levels of undergraduate physics Includes many problems taken from the author’s class notes and research Aimed at undergraduate physics and engineering students, this text teaches readers how to use SNB to solve some everyday physics problems.

Grasping the Nettle

Grasping the Nettle PDF

Author: Chester A. Crocker

Publisher: US Institute of Peace Press

Published: 2005

Total Pages: 444

ISBN-13: 9781929223602

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Among the unwelcome legacies of the past century are a group of conflicts, both intrastate and interstate, that seem destined never to end. From Kashmir to Nagorno-Karabakh, Colombia to Sudan, the Korean Peninsula to the Middle East, these deeply entrenched, intermittently violent conflicts have so far resisted all outside efforts to resolve them.What lessons aside from the apparent futility of mediation can such dismal situations possibly offer? As the distinguished contributors to "Grasping the Nettle" make plain, this is not a rhetorical question. Unyielding conflicts offer numerous insights not only about the sources of intractability but also about such facets of mediation and conflict management as how to gain leverage, when to engage and disengage, how to balance competing goals, and who to enlist to play supporting roles.The first part of this eye-opening volume identifies and analyzes the defining characteristics and underlying dynamics of intractable conflicts. The second part turns the spotlight on no fewer than eight current cases, in each instance chronicling the conflict's evolution, evaluating the internal and external factors that have conspired to prevent a settlement, and assessing whether past peacemaking initiatives have in fact only aggravated the conflict. The conclusion makes the point that even intractable conflicts eventually end and highlights the strategic approaches and tactical steps that have yielded success in the past for mediators and conflict managers from governments, international organizations, and NGOs."

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