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.

Solving ODEs with MATLAB

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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.

Factor Graphs for Robot Perception

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Publisher :
ISBN 13 : 9781680833263
Total Pages : 162 pages
Book Rating : 4.8/5 (332 download)

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Book Synopsis Factor Graphs for Robot Perception by : Frank Dellaert

Download or read book Factor Graphs for Robot Perception written by Frank Dellaert and published by . This book was released on 2017-08-15 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reviews the use of factor graphs for the modeling and solving of large-scale inference problems in robotics. Factor graphs are introduced as an economical representation within which to formulate the different inference problems, setting the stage for the subsequent sections on practical methods to solve them.

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.

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).

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.

The Art Of Computer Programming, Volume 2: Seminumerical Algorithms, 3/E

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Publisher : Pearson Education India
ISBN 13 : 9788177583359
Total Pages : 784 pages
Book Rating : 4.5/5 (833 download)

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Book Synopsis The Art Of Computer Programming, Volume 2: Seminumerical Algorithms, 3/E by : Knuth

Download or read book The Art Of Computer Programming, Volume 2: Seminumerical Algorithms, 3/E written by Knuth and published by Pearson Education India. This book was released on 1998-09 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Sound and Music Computing

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Publisher : MDPI
ISBN 13 : 3038429074
Total Pages : 621 pages
Book Rating : 4.0/5 (384 download)

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Book Synopsis Sound and Music Computing by : Tapio Lokki

Download or read book Sound and Music Computing written by Tapio Lokki and published by MDPI. This book was released on 2018-06-26 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Sound and Music Computing" that was published in Applied Sciences

Computational Techniques for Voltage Stability Assessment and Control

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Publisher : Springer Science & Business Media
ISBN 13 : 0387329358
Total Pages : 257 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Computational Techniques for Voltage Stability Assessment and Control by : Venkataramana Ajjarapu

Download or read book Computational Techniques for Voltage Stability Assessment and Control written by Venkataramana Ajjarapu and published by Springer Science & Business Media. This book was released on 2007-05-27 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides comprehensive details on continuation power flow, and reviews concepts in bifurcation theory and continuation methods for assessing power system voltage stability. The author proposes a uniform framework that provides computational approaches for both short-term and long-term voltage stability phenomena. Readers can access the author’s web-based simulation tools, which are based on the advice in this book, to simulate tests of systems up to the size of 200 busses.

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.

Modelling and Simulation

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Publisher : Springer Science & Business Media
ISBN 13 : 1846286212
Total Pages : 463 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Modelling and Simulation by : Louis G. Birta

Download or read book Modelling and Simulation written by Louis G. Birta and published by Springer Science & Business Media. This book was released on 2007-09-07 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a balanced and integrated presentation of modelling and simulation activity for both Discrete Event Dynamic Systems (DEDS) and Continuous Time Dynamic Systems (CYDS). The authors establish a clear distinction between the activity of modelling and that of simulation, maintaining this distinction throughout. The text offers a novel project-oriented approach for developing the modelling and simulation methodology, providing a solid basis for demonstrating the dependency of model structure and granularity on project goals. Comprehensive presentation of the verification and validation activities within the modelling and simulation context is also shown.

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:

GNU Scientific Library

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Publisher : Network Theory.
ISBN 13 : 9780954612078
Total Pages : 573 pages
Book Rating : 4.6/5 (12 download)

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Book Synopsis GNU Scientific Library by : Brian Gough

Download or read book GNU Scientific Library written by Brian Gough and published by Network Theory.. This book was released on 2009-01-01 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: The GNU Scientific Library (GSL) is a free numerical library for C and C++ programmers. It provides over 1,000 routines for solving mathematical problems in science and engineering. Written by the developers of GSL this reference manual is the definitive guide to the library. All the money raised from the sale of this book supports the development of the GNU Scientific Library. This is the third edition of the manual, and corresponds to version 1.12 of the library (updated January 2009).

High Performance Computing in Power and Energy Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 364232682X
Total Pages : 387 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis High Performance Computing in Power and Energy Systems by : Siddhartha Kumar Khaitan

Download or read book High Performance Computing in Power and Energy Systems written by Siddhartha Kumar Khaitan and published by Springer Science & Business Media. This book was released on 2012-09-07 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twin challenge of meeting global energy demands in the face of growing economies and populations and restricting greenhouse gas emissions is one of the most daunting ones that humanity has ever faced. Smart electrical generation and distribution infrastructure will play a crucial role in meeting these challenges. We would need to develop capabilities to handle large volumes of data generated by the power system components like PMUs, DFRs and other data acquisition devices as well as by the capacity to process these data at high resolution via multi-scale and multi-period simulations, cascading and security analysis, interaction between hybrid systems (electric, transport, gas, oil, coal, etc.) and so on, to get meaningful information in real time to ensure a secure, reliable and stable power system grid. Advanced research on development and implementation of market-ready leading-edge high-speed enabling technologies and algorithms for solving real-time, dynamic, resource-critical problems will be required for dynamic security analysis targeted towards successful implementation of Smart Grid initiatives. This books aims to bring together some of the latest research developments as well as thoughts on the future research directions of the high performance computing applications in electric power systems planning, operations, security, markets, and grid integration of alternate sources of energy, etc.

Introduction to Numerical Analysis

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Publisher : Cambridge University Press
ISBN 13 : 9780521336109
Total Pages : 368 pages
Book Rating : 4.3/5 (361 download)

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Book Synopsis Introduction to Numerical Analysis by : A. Neumaier

Download or read book Introduction to Numerical Analysis written by A. Neumaier and published by Cambridge University Press. This book was released on 2001-10 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides an introduction to constructive methods that provide accurate approximations to the solution of numerical problems using MATLAB.

Advances in Iterative Methods for Nonlinear Equations

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Publisher : Springer
ISBN 13 : 331939228X
Total Pages : 286 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Advances in Iterative Methods for Nonlinear Equations by : Sergio Amat

Download or read book Advances in Iterative Methods for Nonlinear Equations written by Sergio Amat and published by Springer. This book was released on 2016-09-27 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the approximation of nonlinear equations using iterative methods. Nine contributions are presented on the construction and analysis of these methods, the coverage encompassing convergence, efficiency, robustness, dynamics, and applications. Many problems are stated in the form of nonlinear equations, using mathematical modeling. In particular, a wide range of problems in Applied Mathematics and in Engineering can be solved by finding the solutions to these equations. The book reveals the importance of studying convergence aspects in iterative methods and shows that selection of the most efficient and robust iterative method for a given problem is crucial to guaranteeing a good approximation. A number of sample criteria for selecting the optimal method are presented, including those regarding the order of convergence, the computational cost, and the stability, including the dynamics. This book will appeal to researchers whose field of interest is related to nonlinear problems and equations, and their approximation.

Uncertainty Quantification in Computational Fluid Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3319008854
Total Pages : 347 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Uncertainty Quantification in Computational Fluid Dynamics by : Hester Bijl

Download or read book Uncertainty Quantification in Computational Fluid Dynamics written by Hester Bijl and published by Springer Science & Business Media. This book was released on 2013-09-20 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid flows are characterized by uncertain inputs such as random initial data, material and flux coefficients, and boundary conditions. The current volume addresses the pertinent issue of efficiently computing the flow uncertainty, given this initial randomness. It collects seven original review articles that cover improved versions of the Monte Carlo method (the so-called multi-level Monte Carlo method (MLMC)), moment-based stochastic Galerkin methods and modified versions of the stochastic collocation methods that use adaptive stencil selection of the ENO-WENO type in both physical and stochastic space. The methods are also complemented by concrete applications such as flows around aerofoils and rockets, problems of aeroelasticity (fluid-structure interactions), and shallow water flows for propagating water waves. The wealth of numerical examples provide evidence on the suitability of each proposed method as well as comparisons of different approaches.