Author: Avi Wigderson
Publisher: Princeton University Press
ISBN: 0691189137
Category : Computers
Languages : en
Pages : 434

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Book Description
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

Author: Scholastic
Publisher: 100 Practice Activities
ISBN: 9781407128917
Category : Mathematics
Languages : en
Pages : 128

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Book Description
This book can help your child by providing a whole year of ready to go activities and support on key Mathematics topics which will be being taught in school from 2014. Did you know that children in Year 4 now need to; count backwards through zero to include negative numbers; know all tables facts up to 12 x 12; convert between different units of measure (for example, kilometre to metre.)? * Workbooks for home learning * Linked directly to what your children will be learning in school * A linked website provides additional activities, answers and support for parents * Developed by teachers to ensure the best possible support for the new 2014 National Curriculum.

Author: Jian Liu (Writer of mathematics textbooks)
Publisher:
ISBN: 9780435190378
Category : Mathematics
Languages : en
Pages : 176

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Book Description
The whole-class mastery approach that works for every child. Underpinned by the most effective teaching practices, and created by a team of mastery experts led by Series Editor Tony Staneff, Power Maths is designed to make the whole-class mastery teaching approach work for you, your children and your school. The Practice Books provide just the right amount of intelligent practice for children to complete independently in the final section of the lesson. The practice questions are for everyone - each question varies one small element to move children on in their thinking. All practice questions are carefully developed to reveal misconceptions. 'Reflect' questions help children to reason and show how deep their understanding is before moving on. Power Maths characters encourage and challenge children to develop growth mindsets and work flexibly. Calculations are connected so that children think about the underlying concept.

Author: Phyllis Alsdurf
Publisher: Augsburg Fortress Publishers
ISBN: 1506425089
Category : Juvenile Fiction
Languages : en
Pages : 43

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Book Description
A boy relates the preparations for, and enjoyment of, his family's annual Thanksgiving in the Woods celebration on his grandparents' farm. Includes words to the Shaker hymn Tis a Gift to be Simple and notes about the real gathering on which the story is based.

Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 140

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Book Description
Popular Mechanics inspires, instructs and influences readers to help them master the modern world. Whether it’s practical DIY home-improvement tips, gadgets and digital technology, information on the newest cars or the latest breakthroughs in science -- PM is the ultimate guide to our high-tech lifestyle.

Author: Brian Murray
Publisher:
ISBN: 9780190312671
Category :
Languages : en
Pages :

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Book Description
The Oxford Maths Practice and Mastery Books give students more opportunities for practice, consolidation, homework and revision. The Oxford Maths Practice and Mastery Books are an integral part of the Oxford Maths series, which incorporates all the resources that a teachers needs to simply and comprehensively teach the Australian and Victorian Mathematics curricula and the New South Wales Syllabus.SequencingThe Oxford Maths Practice and Mastery Books follow exactly the same sequence of topics as the Oxford Maths Student Books.Each topic features:Practice - activities that allow students to practise concepts and skills from the Independent Practice section of the Oxford Maths Student BookChallenge - activities that allow students to practise concepts and skills from the Extended Practice section of the Oxford Maths Student BookMastery - activities that go beyond the Extended practice section of the Oxford Maths Student Book, and give students the opportunity to apply their learning and problem-solving skills in open-ended, real-world contexts.

Author: Justin Solomon
Publisher: CRC Press
ISBN: 1482251892
Category : Computers
Languages : en
Pages : 400

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Book Description
Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig

Author: William H. Press
Publisher:
ISBN: 9788175960961
Category : Computers
Languages : en
Pages : 0

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Book Description
Now the acclaimed Second Edition of Numerical Recipes is available in the C++ object-oriented programming language. Including and updating the full mathematical and explanatory contents of Numerical Recipes in C, this new version incorporates completely new C++ versions of the more than 300 Numerical Recipes routines that are widely recognized as the most accessible and practical basis for scientific computing. The product of a unique collaboration among four leading scientists in academic research and industry, Numerical Recipes is a complete text and reference book on scientific computing. In a self-contained manner it proceeds from mathematical and theoretical considerations to actual practical computer routines. Highlights include linear algebra, interpolation, special functions, random numbers, nonlinear sets of equations, optimization, eigensystems, Fourier methods and wavelets, statistical tests, ODEs and PDEs, integral equations and inverse theory. The authors approach to C++ preserves the efficient execution that C users expect, while simultaneously employing a clear, object-oriented interface to the routines. Tricks and tips for scientific computing in C++ are liberally included. The routines, in ANSI/ISO C++ source code, can thus be used with almost any existing C++ vector/matrix class library, according to user preference. A simple class library for stand-alone use is also included in the book. Both scientific programmers new to C++, and experienced C++ programmers who need access to the Numerical Recipes routines, can benefit from this important new version of an invaluable, classic text.

Author: Eric Lehman
Publisher:
ISBN: 9789888407064
Category : Business & Economics
Languages : en
Pages : 988

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Book Description
This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.

Author: David Evans
Publisher:
ISBN: 9780983455752
Category :
Languages : en
Pages : 300

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Book Description
Introduction to Computing is a comprehensive text designed for the CS0 (Intro to CS) course at the college level. It may also be used as a primary text for the Advanced Placement Computer Science course at the high school level.