What Can Be Computed

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What Can Be Computed?

Author : John MacCormick
Publisher : Princeton University Press
ISBN 13 : 1400889847
Total Pages : 405 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis What Can Be Computed? by : John MacCormick

Download or read book What Can Be Computed? written by John MacCormick and published by Princeton University Press. This book was released on 2018-05-15 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

What Can Be Computed?

Author : John MacCormick
Publisher : Princeton University Press
ISBN 13 : 0691170665
Total Pages : 404 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis What Can Be Computed? by : John MacCormick

Download or read book What Can Be Computed? written by John MacCormick and published by Princeton University Press. This book was released on 2018-05-01 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Future Computed

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (12 download)

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Book Synopsis The Future Computed by :

Download or read book The Future Computed written by and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Feeling of Life Itself

Author : Christof Koch
Publisher : MIT Press
ISBN 13 : 0262042819
Total Pages : 277 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis The Feeling of Life Itself by : Christof Koch

Download or read book The Feeling of Life Itself written by Christof Koch and published by MIT Press. This book was released on 2019-09-24 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thought-provoking argument that consciousness—more widespread than previously assumed—is the feeling of being alive, not a type of computation or a clever hack In The Feeling of Life Itself, Christof Koch offers a straightforward definition of consciousness as any subjective experience, from the most mundane to the most exalted—the feeling of being alive. Psychologists study which cognitive operations underpin a given conscious perception. Neuroscientists track the neural correlates of consciousness in the brain, the organ of the mind. But why the brain and not, say, the liver? How can the brain—three pounds of highly excitable matter, a piece of furniture in the universe, subject to the same laws of physics as any other piece—give rise to subjective experience? Koch argues that what is needed to answer these questions is a quantitative theory that starts with experience and proceeds to the brain. In The Feeling of Life Itself, Koch outlines such a theory, based on integrated information. Koch describes how the theory explains many facts about the neurology of consciousness and how it has been used to build a clinically useful consciousness meter. The theory predicts that many, and perhaps all, animals experience the sights and sounds of life; consciousness is much more widespread than conventionally assumed. Contrary to received wisdom, however, Koch argues that programmable computers will not have consciousness. Even a perfect software model of the brain is not conscious. Its simulation is fake consciousness. Consciousness is not a special type of computation—it is not a clever hack. Consciousness is about being.

Computational Complexity

Author : Sanjeev Arora
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.

Nine Algorithms That Changed the Future

Author : John MacCormick
Publisher : Princeton University Press
ISBN 13 : 0691209057
Total Pages : 232 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Nine Algorithms That Changed the Future by : John MacCormick

Download or read book Nine Algorithms That Changed the Future written by John MacCormick and published by Princeton University Press. This book was released on 2020-09-15 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nine revolutionary algorithms that power our computers and smartphones Every day, we use our computers to perform remarkable feats. A simple web search picks out a handful of relevant needles from the world's biggest haystack. Uploading a photo to Facebook transmits millions of pieces of information over numerous error-prone network links, yet somehow a perfect copy of the photo arrives intact. Without even knowing it, we use public-key cryptography to transmit secret information like credit card numbers, and we use digital signatures to verify the identity of the websites we visit. How do our computers perform these tasks with such ease? John MacCormick answers this question in language anyone can understand, using vivid examples to explain the fundamental tricks behind nine computer algorithms that power our PCs, tablets, and smartphones.

Mathematics and Computation

Author : Avi Wigderson
Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics and Computation by : Avi Wigderson

Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography

The Nature of Computation

Author : Cristopher Moore
Publisher : OUP Oxford
ISBN 13 : 0191620807
Total Pages : 1498 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis The Nature of Computation by : Cristopher Moore

Download or read book The Nature of Computation written by Cristopher Moore and published by OUP Oxford. This book was released on 2011-08-11 with total page 1498 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computed Tomography

Author : Per Christian Hansen
Publisher : SIAM
ISBN 13 : 1611976677
Total Pages : 355 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Computed Tomography by : Per Christian Hansen

Download or read book Computed Tomography written by Per Christian Hansen and published by SIAM. This book was released on 2021-09-25 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes fundamental computational methods for image reconstruction in computed tomography (CT) with a focus on a pedagogical presentation of these methods and their underlying concepts. Insights into the advantages, limitations, and theoretical and computational aspects of the methods are included, giving a balanced presentation that allows readers to understand and implement CT reconstruction algorithms. Unique in its emphasis on the interplay between modeling, computing, and algorithm development, Computed Tomography: Algorithms, Insight, and Just Enough Theory develops the mathematical and computational aspects of three main classes of reconstruction methods: classical filtered back-projection, algebraic iterative methods, and variational methods based on nonlinear numerical optimization algorithms. It spotlights the link between CT and numerical methods, which is rarely discussed in current literature, and describes the effects of incomplete data using both microlocal analysis and singular value decomposition (SVD). This book sets the stage for further exploration of CT algorithms. Readers will be able to grasp the underlying mathematical models to motivate and derive the basic principles of CT reconstruction and will gain basic understanding of fundamental computational challenges of CT, such as the influence of noisy and incomplete data, as well as the reconstruction capabilities and the convergence of the iterative algorithms. Exercises using MATLAB are included, allowing readers to experiment with the algorithms and making the book suitable for teaching and self-study. Computed Tomography: Algorithms, Insight, and Just Enough Theory is primarily aimed at students, researchers, and practitioners interested in the computational aspects of X-ray CT and is also relevant for anyone working with other forms of tomography, such as neutron and electron tomography, that share the same mathematical formulation. With its basis in lecture notes developed for a PhD course, it is appropriate as a textbook for courses on computational methods for X-ray CT and computational methods for inverse problems.

Boolean Function Complexity

Author : Stasys Jukna
Publisher : Springer Science & Business Media
ISBN 13 : 3642245080
Total Pages : 618 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Boolean Function Complexity by : Stasys Jukna

Download or read book Boolean Function Complexity written by Stasys Jukna and published by Springer Science & Business Media. This book was released on 2012-01-06 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boolean circuit complexity is the combinatorics of computer science and involves many intriguing problems that are easy to state and explain, even for the layman. This book is a comprehensive description of basic lower bound arguments, covering many of the gems of this “complexity Waterloo” that have been discovered over the past several decades, right up to results from the last year or two. Many open problems, marked as Research Problems, are mentioned along the way. The problems are mainly of combinatorial flavor but their solutions could have great consequences in circuit complexity and computer science. The book will be of interest to graduate students and researchers in the fields of computer science and discrete mathematics.

Industrial X-Ray Computed Tomography

Author : Simone Carmignato
Publisher : Springer
ISBN 13 : 3319595733
Total Pages : 372 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Industrial X-Ray Computed Tomography by : Simone Carmignato

Download or read book Industrial X-Ray Computed Tomography written by Simone Carmignato and published by Springer. This book was released on 2017-10-18 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: X-ray computed tomography has been used for several decades as a tool for measuring the three-dimensional geometry of the internal organs in medicine. However, in recent years, we have seen a move in manufacturing industries for the use of X-ray computed tomography; first to give qualitative information about the internal geometry and defects in a component, and more recently, as a fully-quantitative technique for dimensional and materials analysis. This trend is primarily due to the ability of X-ray computed tomography to give a high-density and multi-scale representation of both the external and internal geometry of a component, in a non-destructive, non-contact and relatively fast way. But, due to the complexity of X-ray computed tomography, there are remaining metrological issues to solve and the specification standards are still under development. This book will act as a one-stop-shop resource for students and users of X-ray computed tomography in both academia and industry. It presents the fundamental principles of the technique, detailed descriptions of the various components (hardware and software), current developments in calibration and performance verification and a wealth of example applications. The book will also highlight where there is still work to do, in the perspective that X-ray computed tomography will be an essential part of Industry 4.0.

Computed Tomography for Technologists: Exam Review

Author : Lois Romans
Publisher : Lippincott Williams & Wilkins
ISBN 13 : 1496377273
Total Pages : 446 pages
Book Rating : 4.4/5 (963 download)

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Book Synopsis Computed Tomography for Technologists: Exam Review by : Lois Romans

Download or read book Computed Tomography for Technologists: Exam Review written by Lois Romans and published by Lippincott Williams & Wilkins. This book was released on 2018-07-23 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher's Note: Products purchased from 3rd Party sellers are not guaranteed by the Publisher for quality, authenticity, or access to any online entitlements included with the product. Computed Tomography for Technologists: Exam Review, Second Edition, is intended to be used as a companion to Computed Tomography for Technologists: A Comprehensive Text, Second Edition, and as a review of computed tomography on its own. This is an excellent resource for students preparing to take the advanced level certification exam offered by The American Registry of Radiologic Technologists (ARRT).

The Golden Ticket

Author : Lance Fortnow
Publisher : Princeton University Press
ISBN 13 : 0691175780
Total Pages : 188 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Golden Ticket by : Lance Fortnow

Download or read book The Golden Ticket written by Lance Fortnow and published by Princeton University Press. This book was released on 2017-02-28 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The computer science problem whose solution could transform life as we know it The P-NP problem is the most important open problem in computer science, if not all of mathematics. Simply stated, it asks whether every problem whose solution can be quickly checked by computer can also be quickly solved by computer. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. Lance Fortnow traces the history and development of P-NP, giving examples from a variety of disciplines, including economics, physics, and biology. He explores problems that capture the full difficulty of the P-NP dilemma, from discovering the shortest route through all the rides at Disney World to finding large groups of friends on Facebook. The Golden Ticket explores what we truly can and cannot achieve computationally, describing the benefits and unexpected challenges of this compelling problem.

Computed Tomography

Author : Thorsten M. Buzug
Publisher : Springer Science & Business Media
ISBN 13 : 3540394087
Total Pages : 522 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Computed Tomography by : Thorsten M. Buzug

Download or read book Computed Tomography written by Thorsten M. Buzug and published by Springer Science & Business Media. This book was released on 2008-05-20 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an overview of X-ray technology and the historical development of modern CT systems. The main focus of the book is a detailed derivation of reconstruction algorithms in 2D and modern 3D cone-beam systems. A thorough analysis of CT artifacts and a discussion of practical issues such as dose considerations give further insight into current CT systems. Although written mainly for graduate students, practitioners will also benefit from this book.

Cardiac Computed Tomography

Author : Milind Y. Desai
Publisher : Lippincott Williams & Wilkins
ISBN 13 : 1451171048
Total Pages : 505 pages
Book Rating : 4.4/5 (511 download)

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Book Synopsis Cardiac Computed Tomography by : Milind Y. Desai

Download or read book Cardiac Computed Tomography written by Milind Y. Desai and published by Lippincott Williams & Wilkins. This book was released on 2011-12-21 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: Technologic advances in imaging now allow cardiologists to diagnose, noninvasively, a wide range of cardiac disorders, from subclinical atherosclerosis to obstructive coronary artery disease. This 500+ Question & Answer review book serves as the board prep product for all cardiologists/fellows/radiologists interested in certifying in this rapidly expanding area. All aspects of cardiovascular CT principles and physics, methodologies, and clinical practice are covered. Features Include: • Cost-effective board preparation; • MCQs that mimic the CCT boards; • Review questions in CT physics, study acquisition, and interpretation; • Online access to video clips and over 500 Q&As.

The Future Computed - AI and Manufacturing

Author : Greg Shaw
Publisher :
ISBN 13 : 9780999750827
Total Pages : pages
Book Rating : 4.7/5 (58 download)

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Book Synopsis The Future Computed - AI and Manufacturing by : Greg Shaw

Download or read book The Future Computed - AI and Manufacturing written by Greg Shaw and published by . This book was released on 2019-05-23 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The Future Computed: AI and Manufacturing is the next book in Microsoft's The Future Computed series looking at the impact of AI on society. The book features stories from industry leaders and policymakers from around the world, sharing insights into how customers can progress their AI journey. IT also sets out suggestions about how countries can build competitive manufacturing sectors while delivering AI and addressing short-term disruption.

Introduction to the Theory of Computation

Author : Michael Sipser
Publisher : Thomson/Course Technology
ISBN 13 : 9780619217648
Total Pages : 437 pages
Book Rating : 4.2/5 (176 download)

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Book Synopsis Introduction to the Theory of Computation by : Michael Sipser

Download or read book Introduction to the Theory of Computation written by Michael Sipser and published by Thomson/Course Technology. This book was released on 2006 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Intended as an upper-level undergraduate or introductory graduate text in computer science theory," this book lucidly covers the key concepts and theorems of the theory of computation. The presentation is remarkably clear; for example, the "proof idea," which offers the reader an intuitive feel for how the proof was constructed, accompanies many of the theorems and a proof. Introduction to the Theory of Computation covers the usual topics for this type of text plus it features a solid section on complexity theory--including an entire chapter on space complexity. The final chapter introduces more advanced topics, such as the discussion of complexity classes associated with probabilistic algorithms.