Mathematics For Computation M4c
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Mathematics For Computation M4c
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Author : Marco Benini
language : en
Publisher: World Scientific
Release Date : 2023-03-21
Mathematics For Computation M4c written by Marco Benini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-21 with Mathematics categories.
The overall topic of the volume, Mathematics for Computation (M4C), is mathematics taking crucially into account the aspect of computation, investigating the interaction of mathematics with computation, bridging the gap between mathematics and computation wherever desirable and possible, and otherwise explaining why not.Recently, abstract mathematics has proved to have more computational content than ever expected. Indeed, the axiomatic method, originally intended to do away with concrete computations, seems to suit surprisingly well the programs-from-proofs paradigm, with abstraction helping not only clarity but also efficiency.Unlike computational mathematics, which rather focusses on objects of computational nature such as algorithms, the scope of M4C generally encompasses all the mathematics, including abstract concepts such as functions. The purpose of M4C actually is a strongly theory-based and therefore, is a more reliable and sustainable approach to actual computation, up to the systematic development of verified software.While M4C is situated within mathematical logic and the related area of theoretical computer science, in principle it involves all branches of mathematics, especially those which prompt computational considerations. In traditional terms, the topics of M4C include proof theory, constructive mathematics, complexity theory, reverse mathematics, type theory, category theory and domain theory.The aim of this volume is to provide a point of reference by presenting up-to-date contributions by some of the most active scholars in each field. A variety of approaches and techniques are represented to give as wide a view as possible and promote cross-fertilization between different styles and traditions.
Mathematics For Computation M4c
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Author : Marco Benini
language : en
Publisher:
Release Date : 2023
Mathematics For Computation M4c written by Marco Benini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Computational complexity categories.
"The overall topic of the volume, Mathematics for Computation (M4C), is mathematics taking crucially into account the aspect of computation, investigating the interaction of mathematics with computation, bridging the gap between mathematics and computation wherever desirable and possible, and otherwise explaining why not. Recently, abstract mathematics has proved to have more computational content than ever expected. Indeed, the axiomatic method, originally intended to do away with concrete computations, seems to suit surprisingly well the programs-from-proofs paradigm, with abstraction helping not only clarity but also efficiency. Unlike computational mathematics, which rather focuses on objects of computational nature such as algorithms, the scope of M4C generally encompasses all the mathematics, including abstract concepts such as functions. The purpose of M4C actually is a strongly theory-based and therefore, is a more reliable and sustainable approach to actual computation, up to the systematic development of verified software. While M4C is situated within mathematical logic and the related area of theoretical computer science, in principle it involves all branches of mathematics, especially those which prompt computational considerations. In traditional terms, the topics of M4C include proof theory, constructive mathematics, complexity theory, reverse mathematics, type theory, category theory and domain theory. The aim of this volume is to provide a point of reference by presenting up-to-date contributions by some of the most active scholars in each field. A variety of approaches and techniques are represented to give as wide a view as possible and promote cross-fertilization between different styles and traditions"--
Mathematics Of Computation
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Author :
language : en
Publisher:
Release Date : 1975
Mathematics Of Computation written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.
RHL School provides a collection of free mathematics computation worksheets for elementary and middle school students. Topics include addition, subtraction, multiplication, division, and rounding. The collection is updated every time user revisits or refreshes one of the worksheets.
Mathematics Of Computation
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Author :
language : en
Publisher:
Release Date : 1943
Mathematics Of Computation written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1943 with categories.
Computer Methods For Mathematical Computations
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Author : George Elmer Forsythe
language : en
Publisher: Prentice Hall
Release Date : 1977
Computer Methods For Mathematical Computations written by George Elmer Forsythe and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.
Computational Mathematics
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Author : Robert E. White
language : en
Publisher: CRC Press
Release Date : 2003-09-17
Computational Mathematics written by Robert E. White and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-17 with Mathematics categories.
Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI explores and illustrates this process. Each section of the first six chapters is motivated by a specific application. The author applies a model, selects a numerical method, implements computer simulations, and assesses the ensuing results. These chapters include an abunda
Computational Mathematics Concepts And Applied Principles
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Author : Lawrence Grattan
language : en
Publisher:
Release Date : 2019-06-04
Computational Mathematics Concepts And Applied Principles written by Lawrence Grattan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-04 with categories.
Computational mathematics is the science that integrates computing and mathematics, for research. This is particularly significant in the areas of science that can be aided by computation. It involves the use of numerical methods, algorithms and symbolic computations. Computational mathematics is used in solving mathematical and scientific problems and to aid research in logic, number theory, cryptography, discrete mathematics and computational algebraic topology. Besides these, it is crucial in finance, economics and accounting. Some of the focus areas of computational mathematics are numerical linear algebra, Monte Carlo methods, stochastic finite elements, numerical analysis, etc. There has been rapid progress in computational mathematics and its applications are finding their way across multiple fields. This book elucidates new techniques and their applications in a multidisciplinary manner. Coherent flow of topics, student-friendly language and extensive use of examples make this book an invaluable source of knowledge.
Computational Mathematics
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Author : N. V. Kopchenova
language : en
Publisher:
Release Date : 1990
Computational Mathematics written by N. V. Kopchenova and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Numerical analysis categories.
Mathematics And Computation
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Author : Avi Wigderson
language : en
Publisher: Princeton University Press
Release Date : 2019-10-29
Mathematics And Computation written by Avi Wigderson and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-29 with Mathematics categories.
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
Introduction To Computational Mathematics
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Author : Xin-She Yang
language : en
Publisher: World Scientific
Release Date : 2008
Introduction To Computational Mathematics written by Xin-She Yang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This unique book provides a comprehensive introduction to computational mathematics, which forms an essential part of modern numerical algorithms and scientific computing. It uses a theorem-free approach with just the right balance between mathematics and numerical algorithms. It covers all major topics in computational mathematics with a wide range of carefully selected numerical algorithms, ranging from the root-finding algorithms, numerical integration, numerical methods of partial differential equations, finite element methods, optimization algorithms, stochastic models, to nonlinear curve-fitting and swarm optimization. Especially suitable for undergraduates and graduates in computational mathematics, numerical algorithms, and scientific computing, it can be used as a textbook and/or reference book.