Mathematiques Cycle 4 5e 4e 3e Transmath

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Proof Technology in Mathematics Research and Teaching

Author : Gila Hanna
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.

Spectral Methods in MATLAB

Author : Lloyd N. Trefethen
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.

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

Author : Knuth
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:

The LLL Algorithm

Author : Phong Q. Nguyen
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.

Continuous System Simulation

Author : François E. Cellier
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).

Modelling and Simulation

Author : Louis G. Birta
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.

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

Author : Oleg P. Iliev
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.

Precalculus

Author : Robert F. Blitzer
Publisher :
ISBN 13 : 9780321837349
Total Pages : 0 pages
Book Rating : 4.8/5 (373 download)

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Book Synopsis Precalculus by : Robert F. Blitzer

Download or read book Precalculus written by Robert F. Blitzer and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bob Blitzer has inspired thousands of students with his engaging approach to mathematics, making this beloved series the #1 in the market. Blitzer draws on his unique background in mathematics and behavioral science to present the full scope of mathematics with vivid applications in real-life situations. Students stay engaged because Blitzer often uses pop-culture and up-to-date references to connect math to students' lives, showing that their world is profoundly mathematical.

High Performance Computing in Power and Energy Systems

Author : Siddhartha Kumar Khaitan
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.

Uncertainty Quantification in Computational Fluid Dynamics

Author : Hester Bijl
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.

Programming Heterogeneous MPSoCs

Author : Jerónimo Castrillón Mazo
Publisher : Springer Science & Business Media
ISBN 13 : 3319006754
Total Pages : 243 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Programming Heterogeneous MPSoCs by : Jerónimo Castrillón Mazo

Download or read book Programming Heterogeneous MPSoCs written by Jerónimo Castrillón Mazo and published by Springer Science & Business Media. This book was released on 2013-09-24 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides embedded software developers with techniques for programming heterogeneous Multi-Processor Systems-on-Chip (MPSoCs), capable of executing multiple applications simultaneously. It describes a set of algorithms and methodologies to narrow the software productivity gap, as well as an in-depth description of the underlying problems and challenges of today’s programming practices. The authors present four different tool flows: A parallelism extraction flow for applications written using the C programming language, a mapping and scheduling flow for parallel applications, a special mapping flow for baseband applications in the context of Software Defined Radio (SDR) and a final flow for analyzing multiple applications at design time. The tool flows are evaluated on Virtual Platforms (VPs), which mimic different characteristics of state-of-the-art heterogeneous MPSoCs.

Fireworks Algorithm

Author : Ying Tan
Publisher : Springer
ISBN 13 : 3662463539
Total Pages : 344 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Fireworks Algorithm by : Ying Tan

Download or read book Fireworks Algorithm written by Ying Tan and published by Springer. This book was released on 2015-10-11 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the state-of-the-art in all aspects of fireworks algorithm (FWA), with particular emphasis on the efficient improved versions of FWA. It describes the most substantial theoretical analysis including basic principle and implementation of FWA and modeling and theoretical analysis of FWA. It covers exhaustively the key recent significant research into the improvements of FWA so far. In addition, the book describes a few advanced topics in the research of FWA, including multi-objective optimization (MOO), discrete FWA (DFWA) for combinatorial optimization, and GPU-based FWA for parallel implementation. In sequels, several successful applications of FWA on non-negative matrix factorization (NMF), text clustering, pattern recognition, and seismic inversion problem, and swarm robotics, are illustrated in details, which might shed new light on more real-world applications in future. Addressing a multidisciplinary topic, it will appeal to researchers and professionals in the areas of metahuristics, swarm intelligence, evolutionary computation, complex optimization solving, etc.

Biological and Artificial Intelligence Environments

Author : Bruno Apolloni
Publisher : Springer Science & Business Media
ISBN 13 : 1402034326
Total Pages : 389 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Biological and Artificial Intelligence Environments by : Bruno Apolloni

Download or read book Biological and Artificial Intelligence Environments written by Bruno Apolloni and published by Springer Science & Business Media. This book was released on 2007-11-04 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book reports the proceedings of the 15th Italian workshop on neural networks issued by the Italian Society on Neural Networks SIREN. The longevity recipe of this conference stands in three main points that normally renders the reading of these proceedings so interesting as appealing. 1. The topics of the neural networks is considered an attraction pole for a set of researches centered on the inherent paradigm of the neural networks, rather than on a specific tool exclusively. Thus, the subsymbolic management of the data information content constitutes the key feature of papers in various fields such as Pattern Recognition, Stochastic Optimization, Learning, Granular Computing, and so on, with a special bias toward bioinformatics operational applications. An excerpt of all these matters may be found in the book. 2. Though managed at domestic level, the conference attracts contributions from foreign researchers as well, so that in the book the reader may capture the flavor of the state of the art in the international community. 3. The conference is a meeting of friends as well. Thus the papers generally reflect a relaxed atmosphere where researchers meet to generously exchange their thought and explain their actual results in view of a common cultural growing of the community.

Numerical Methods for Laplace Transform Inversion

Author : Alan M. Cohen
Publisher : Springer Science & Business Media
ISBN 13 : 0387688552
Total Pages : 262 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Numerical Methods for Laplace Transform Inversion by : Alan M. Cohen

Download or read book Numerical Methods for Laplace Transform Inversion written by Alan M. Cohen and published by Springer Science & Business Media. This book was released on 2007-06-16 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives background material on the theory of Laplace transforms, together with a fairly comprehensive list of methods that are available at the current time. Computer programs are included for those methods that perform consistently well on a wide range of Laplace transforms. Operational methods have been used for over a century to solve problems such as ordinary and partial differential equations.

Time Domain Methods in Electrodynamics

Author : Peter Russer
Publisher : Springer Science & Business Media
ISBN 13 : 3540687688
Total Pages : 423 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Time Domain Methods in Electrodynamics by : Peter Russer

Download or read book Time Domain Methods in Electrodynamics written by Peter Russer and published by Springer Science & Business Media. This book was released on 2008-09-26 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of contributions given in honor of Wolfgang J.R. Hoefer. Space and time discretizing time domain methods for electromagnetic full-wave simulation have emerged as key numerical methods in computational electromagnetics. Time domain methods are versatile and can be applied to the solution of a wide range of electromagnetic field problems. Computing the response of an electromagnetic structure to an impulsive excitation localized in space and time provides a comprehensive characterization of the electromagnetic properties of the structure in a wide frequency range. The most important methods are the Finite Difference Time Domain (FDTD) and the Transmission Line Matrix (TLM) methods. The contributions represent the state of the art in dealing with time domain methods in modern engineering electrodynamics for electromagnetic modeling in general, the Transmission Line Matrix (TLM) method, the application of network concepts to electromagnetic field modeling, circuit and system applications and, finally, with broadband devices, systems and measurement techniques.

Elementary Functions

Author : Jean-Michel Muller
Publisher : Birkhäuser
ISBN 13 : 1489979832
Total Pages : 297 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Elementary Functions by : Jean-Michel Muller

Download or read book Elementary Functions written by Jean-Michel Muller and published by Birkhäuser. This book was released on 2016-11-16 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents the concepts and tools necessary to understand, build, and implement algorithms for computing elementary functions (e.g., logarithms, exponentials, and the trigonometric functions). Both hardware- and software-oriented algorithms are included, along with issues related to accurate floating-point implementation. This third edition has been updated and expanded to incorporate the most recent advances in the field, new elementary function algorithms, and function software. After a preliminary chapter that briefly introduces some fundamental concepts of computer arithmetic, such as floating-point arithmetic and redundant number systems, the text is divided into three main parts. Part I considers the computation of elementary functions using algorithms based on polynomial or rational approximations and using table-based methods; the final chapter in this section deals with basic principles of multiple-precision arithmetic. Part II is devoted to a presentation of “shift-and-add” algorithms (hardware-oriented algorithms that use additions and shifts only). Issues related to accuracy, including range reduction, preservation of monotonicity, and correct rounding, as well as some examples of implementation are explored in Part III. Numerous examples of command lines and full programs are provided throughout for various software packages, including Maple, Sollya, and Gappa. New to this edition are an in-depth overview of the IEEE-754-2008 standard for floating-point arithmetic; a section on using double- and triple-word numbers; a presentation of new tools for designing accurate function software; and a section on the Toom-Cook family of multiplication algorithms. The techniques presented in this book will be of interest to implementers of elementary function libraries or circuits and programmers of numerical applications. Additionally, graduate and advanced undergraduate students, professionals, and researchers in scientific computing, numerical analysis, software engineering, and computer engineering will find this a useful reference and resource. PRAISE FOR PREVIOUS EDITIONS “[T]his book seems like an essential reference for the experts (which I'm not). More importantly, this is an interesting book for the curious (which I am). In this case, you'll probably learn many interesting things from this book. If you teach numerical analysis or approximation theory, then this book will give you some good examples to discuss in class." — MAA Reviews (Review of Second Edition) "The rich content of ideas sketched or presented in some detail in this book is supplemented by a list of over three hundred references, most of them of 1980 or more recent. The book also contains some relevant typical programs." — Zentralblatt MATH (Review of Second Edition) “I think that the book will be very valuable to students both in numerical analysis and in computer science. I found [it to be] well written and containing much interesting material, most of the time disseminated in specialized papers published in specialized journals difficult to find." — Numerical Algorithms (Review of First Edition)

Introduction to Numerical Computation in Pascal

Author : DEW/JAMES
Publisher : Springer Science & Business Media
ISBN 13 : 1475739400
Total Pages : 300 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Introduction to Numerical Computation in Pascal by : DEW/JAMES

Download or read book Introduction to Numerical Computation in Pascal written by DEW/JAMES and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our intention in this book is to cover the core material in numerical analysis normally taught to students on degree courses in computer science. The main emphasis is placed on the use of analysis and programming techniques to produce well-designed, reliable mathematical software. The treatment should be of interest also to students of mathematics, science and engineering who wish to learn how to write good programs for mathematical computations. The reader is assumed to have some acquaintance with Pascal programming. Aspects of Pascal particularly relevant to numerical computation are revised and developed in the first chapter. Although Pascal has some drawbacks for serious numerical work (for example, only one precision for real numbers), the language has major compensating advantages: it is a widely used teaching language that will be familiar to many students and it encourages the writing of clear, well structured programs. By careful use of structure and documentation, we have produced codes that we believe to be readable; particular care has been taken to ensure that students should be able to understand the codes in conjunction with the descriptive material given in the book.