Proof Technology in Mathematics Research and Teaching

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Publisher : Springer Nature
ISBN 13 : 3030284832
Total Pages : 374 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Proof Technology in Mathematics Research and Teaching by : Gila Hanna

Download or read book Proof Technology in Mathematics Research and Teaching written by Gila Hanna and published by Springer Nature. This book was released on 2019-10-02 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents chapters exploring the most recent developments in the role of technology in proving. The full range of topics related to this theme are explored, including computer proving, digital collaboration among mathematicians, mathematics teaching in schools and universities, and the use of the internet as a site of proof learning. Proving is sometimes thought to be the aspect of mathematical activity most resistant to the influence of technological change. While computational methods are well known to have a huge importance in applied mathematics, there is a perception that mathematicians seeking to derive new mathematical results are unaffected by the digital era. The reality is quite different. Digital technologies have transformed how mathematicians work together, how proof is taught in schools and universities, and even the nature of proof itself. Checking billions of cases in extremely large but finite sets, impossible a few decades ago, has now become a standard method of proof. Distributed proving, by teams of mathematicians working independently on sections of a problem, has become very much easier as digital communication facilitates the sharing and comparison of results. Proof assistants and dynamic proof environments have influenced the verification or refutation of conjectures, and ultimately how and why proof is taught in schools. And techniques from computer science for checking the validity of programs are being used to verify mathematical proofs. Chapters in this book include not only research reports and case studies, but also theoretical essays, reviews of the state of the art in selected areas, and historical studies. The authors are experts in the field.

Language! Live:

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Publisher :
ISBN 13 : 9781491690130
Total Pages : pages
Book Rating : 4.6/5 (91 download)

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Book Synopsis Language! Live: by : Louisa Cook Moats

Download or read book Language! Live: written by Louisa Cook Moats and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solving ODEs with MATLAB

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521530941
Total Pages : 276 pages
Book Rating : 4.5/5 (39 download)

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Book Synopsis Solving ODEs with MATLAB by : Lawrence F. Shampine

Download or read book Solving ODEs with MATLAB written by Lawrence F. Shampine and published by Cambridge University Press. This book was released on 2003-04-28 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise text, first published in 2003, is for a one-semester course for upper-level undergraduates and beginning graduate students in engineering, science, and mathematics, and can also serve as a quick reference for professionals. The major topics in ordinary differential equations, initial value problems, boundary value problems, and delay differential equations, are usually taught in three separate semester-long courses. This single book provides a sound treatment of all three in fewer than 300 pages. Each chapter begins with a discussion of the 'facts of life' for the problem, mainly by means of examples. Numerical methods for the problem are then developed, but only those methods most widely used. The treatment of each method is brief and technical issues are minimized, but all the issues important in practice and for understanding the codes are discussed. The last part of each chapter is a tutorial that shows how to solve problems by means of small, but realistic, examples.

Mathematical Writing

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Publisher : Cambridge University Press
ISBN 13 : 9780883850633
Total Pages : 132 pages
Book Rating : 4.8/5 (56 download)

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Book Synopsis Mathematical Writing by : Donald E. Knuth

Download or read book Mathematical Writing written by Donald E. Knuth and published by Cambridge University Press. This book was released on 1989 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will help those wishing to teach a course in technical writing, or who wish to write themselves.

Intelligent Tutoring Systems

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Publisher : Springer
ISBN 13 : 3540479872
Total Pages : 1045 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Intelligent Tutoring Systems by : Stefano A. Cerri

Download or read book Intelligent Tutoring Systems written by Stefano A. Cerri and published by Springer. This book was released on 2007-10-23 with total page 1045 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th International Conference on Intelligent Tutoring Systems, ITS 2002, held in Biarritz, France, and San Sebastian, Spain, in June 2002 The 93 revised full papers presented together with 5 invited papers and 16 posters were carefully reviewed and selected from 167 full paper submissions. The papers address all current issues in the interdisciplinary field of intelligent tutoring systems. The book offers topical sections on agents, architectures, Web, authoring, learning, dialogue, evaluation, narrative, and motivation and emotions.

Numerical Computing with Modern Fortran

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Publisher : SIAM
ISBN 13 : 1611973112
Total Pages : 260 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Numerical Computing with Modern Fortran by : Richard J. Hanson

Download or read book Numerical Computing with Modern Fortran written by Richard J. Hanson and published by SIAM. This book was released on 2013-11-21 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fortran language standard has undergone significant upgrades in recent years (1990, 1995, 2003, and 2008). Numerical Computing with Modern Fortran illustrates many of these improvements through practical solutions to a number of scientific and engineering problems. Readers will discover techniques for modernizing algorithms written in Fortran; examples of Fortran interoperating with C or C++ programs, plus using the IEEE floating-point standard for efficiency; illustrations of parallel Fortran programming using coarrays, MPI, and OpenMP; and a supplementary website with downloadable source codes discussed in the book.

Spectral Methods in MATLAB

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Publisher : SIAM
ISBN 13 : 0898714656
Total Pages : 179 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Spectral Methods in MATLAB by : Lloyd N. Trefethen

Download or read book Spectral Methods in MATLAB written by Lloyd N. Trefethen and published by SIAM. This book was released on 2000-07-01 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.

Introduction to Cyclotomic Fields

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Publisher : Springer Science & Business Media
ISBN 13 : 1468401335
Total Pages : 401 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Introduction to Cyclotomic Fields by : Lawrence C. Washington

Download or read book Introduction to Cyclotomic Fields written by Lawrence C. Washington and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew. out of lectures given at the University of Maryland in 1979/1980. The purpose was to give a treatment of p-adic L-functions and cyclotomic fields, including Iwasawa's theory of Zp-extensions, which was accessible to mathematicians of varying backgrounds. The reader is assumed to have had at least one semester of algebraic number theory (though one of my students took such a course concurrently). In particular, the following terms should be familiar: Dedekind domain, class number, discriminant, units, ramification, local field. Occasionally one needs the fact that ramification can be computed locally. However, one who has a good background in algebra should be able to survive by talking to the local algebraic number theorist. I have not assumed class field theory; the basic facts are summarized in an appendix. For most of the book, one only needs the fact that the Galois group of the maximal unramified abelian extension is isomorphic to the ideal class group, and variants of this statement. The chapters are intended to be read consecutively, but it should be possible to vary the order considerably. The first four chapters are basic. After that, the reader willing to believe occasional facts could probably read the remaining chapters randomly. For example, the reader might skip directly to Chapter 13 to learn about Zp-extensions. The last chapter, on the Kronecker-Weber theorem, can be read after Chapter 2.

Symbolic-Numeric Computation

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Publisher : Springer Science & Business Media
ISBN 13 : 3764379839
Total Pages : 391 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Symbolic-Numeric Computation by : Dongming Wang

Download or read book Symbolic-Numeric Computation written by Dongming Wang and published by Springer Science & Business Media. This book was released on 2007-01-22 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: The growing demand of speed, accuracy, and reliability in scientific and engineering computing has been accelerating the merging of symbolic and numeric computations. These two types of computation coexist in mathematics yet are separated in traditional research of mathematical computation. This book presents 27 research articles on the integration and interaction of symbolic and numeric computation.

Numerical Solution of Ordinary Differential Equations

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Publisher : John Wiley & Sons
ISBN 13 : 1118164520
Total Pages : 272 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis Numerical Solution of Ordinary Differential Equations by : Kendall Atkinson

Download or read book Numerical Solution of Ordinary Differential Equations written by Kendall Atkinson and published by John Wiley & Sons. This book was released on 2011-10-24 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise introduction to numerical methodsand the mathematicalframework neededto understand their performance Numerical Solution of Ordinary Differential Equationspresents a complete and easy-to-follow introduction to classicaltopics in the numerical solution of ordinary differentialequations. The book's approach not only explains the presentedmathematics, but also helps readers understand how these numericalmethods are used to solve real-world problems. Unifying perspectives are provided throughout the text, bringingtogether and categorizing different types of problems in order tohelp readers comprehend the applications of ordinary differentialequations. In addition, the authors' collective academic experienceensures a coherent and accessible discussion of key topics,including: Euler's method Taylor and Runge-Kutta methods General error analysis for multi-step methods Stiff differential equations Differential algebraic equations Two-point boundary value problems Volterra integral equations Each chapter features problem sets that enable readers to testand build their knowledge of the presented methods, and a relatedWeb site features MATLAB® programs that facilitate theexploration of numerical methods in greater depth. Detailedreferences outline additional literature on both analytical andnumerical aspects of ordinary differential equations for furtherexploration of individual topics. Numerical Solution of Ordinary Differential Equations isan excellent textbook for courses on the numerical solution ofdifferential equations at the upper-undergraduate and beginninggraduate levels. It also serves as a valuable reference forresearchers in the fields of mathematics and engineering.

The LLL Algorithm

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Publisher : Springer Science & Business Media
ISBN 13 : 3642022952
Total Pages : 503 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis The LLL Algorithm by : Phong Q. Nguyen

Download or read book The LLL Algorithm written by Phong Q. Nguyen and published by Springer Science & Business Media. This book was released on 2009-12-02 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book to offer a comprehensive view of the LLL algorithm, this text surveys computational aspects of Euclidean lattices and their main applications. It includes many detailed motivations, explanations and examples.

Index of Mathematical Papers

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Publisher :
ISBN 13 :
Total Pages : 1244 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Index of Mathematical Papers by :

Download or read book Index of Mathematical Papers written by and published by . This book was released on 1985 with total page 1244 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1461471729
Total Pages : 334 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications by : Oleg P. Iliev

Download or read book Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications written by Oleg P. Iliev and published by Springer Science & Business Media. This book was released on 2013-06-04 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the current main challenges in the area of scientific computing​ is the design and implementation of accurate numerical models for complex physical systems which are described by time dependent coupled systems of nonlinear PDEs. This volume integrates the works of experts in computational mathematics and its applications, with a focus on modern algorithms which are at the heart of accurate modeling: adaptive finite element methods, conservative finite difference methods and finite volume methods, and multilevel solution techniques. Fundamental theoretical results are revisited in survey articles and new techniques in numerical analysis are introduced. Applications showcasing the efficiency, reliability and robustness of the algorithms in porous media, structural mechanics and electromagnetism are presented. Researchers and graduate students in numerical analysis and numerical solutions of PDEs and their scientific computing applications will find this book useful.

Pacific Journal of Mathematics

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Publisher :
ISBN 13 :
Total Pages : 1040 pages
Book Rating : 4.:/5 (39 download)

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Book Synopsis Pacific Journal of Mathematics by :

Download or read book Pacific Journal of Mathematics written by and published by . This book was released on 1983 with total page 1040 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Continuous System Simulation

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Publisher : Springer Science & Business Media
ISBN 13 : 0387302603
Total Pages : 659 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Continuous System Simulation by : François E. Cellier

Download or read book Continuous System Simulation written by François E. Cellier and published by Springer Science & Business Media. This book was released on 2006-06-03 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highly computer-oriented text, introducing numerical methods and algorithms along with the applications and conceptual tools. Includes homework problems, suggestions for research projects, and open-ended questions at the end of each chapter. Written by our successful author who also wrote Continuous System Modeling, a best-selling Springer book first published in the 1991 (sold about 1500 copies).

Lectures on Numerical Mathematics

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Publisher :
ISBN 13 : 9781461234692
Total Pages : 568 pages
Book Rating : 4.2/5 (346 download)

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Book Synopsis Lectures on Numerical Mathematics by : H. Rutishauser

Download or read book Lectures on Numerical Mathematics written by H. Rutishauser and published by . This book was released on 2014-01-15 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1092 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 1999 with total page 1092 pages. Available in PDF, EPUB and Kindle. Book excerpt: