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Applied Mathematics with Open-Source Software

Applied Mathematics with Open-Source Software
Author: Vincent Knight
Publisher: CRC Press
Total Pages: 180
Release: 2022-05-26
Genre: Mathematics
ISBN: 1000582108
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Applied Mathematics with Open-source Software: Operational Research Problems with Python and R is aimed at a broad segment of readers who wish to learn how to use open-source software to solve problems in applied mathematics. The book has an innovative structure with 4 sections of two chapters covering a large range of applied mathematical techniques: probabilistic modelling, dynamical systems, emergent behaviour and optimisation. The pairs of chapters in each section demonstrate different families of solution approaches. Each chapter starts with a problem, gives an overview of the relevant theory, shows a solution approach in R and in Python, and finally gives wider context by including a number of published references. This structure will allow for maximum accessibility, with minimal prerequisites in mathematics or programming as well as giving the right opportunities for a reader wanting to delve deeper into a particular topic. Features An excellent resource for scholars of applied mathematics and operational research, and indeed any academics who want to learn how to use open-source software. Offers more general and accessible treatment of the subject than other texts, both in terms of programming language but also in terms of the subjects considered. The R and Python sections purposefully mirror each other so that a reader can read only the section that interests them. An accompanying open-source repository with source files and further examples is posted online at https://bit.ly/3kpoKSd.

The Princeton Companion to Applied Mathematics

The Princeton Companion to Applied Mathematics
Author: Nicholas J. Higham
Publisher: Princeton University Press
Total Pages: 1031
Release: 2015-09-15
Genre: Mathematics
ISBN: 1400874475
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The must-have compendium on applied mathematics This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index

Parallel Processing and Applied Mathematics

Parallel Processing and Applied Mathematics
Author: Roman Wyrzykowski
Publisher: Springer
Total Pages: 622
Release: 2016-04-05
Genre: Computers
ISBN: 3319321498
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This two-volume set LNCS 9573 and LNCS 9574 constitutes the refereed proceedings of the 11th International Conference of Parallel Processing and Applied Mathematics, PPAM 2015, held in Krakow, Poland, in September 2015.The 111 revised full papers presented in both volumes were carefully reviewed and selected from 196 submissions. The focus of PPAM 2015 was on models, algorithms, and software tools which facilitate efficient and convenient utilization of modern parallel and distributed computing architectures, as well as on large-scale applications, including big data problems.

Mathematical Modeling and Simulation

Mathematical Modeling and Simulation
Author: Kai Velten
Publisher: John Wiley & Sons
Total Pages: 498
Release: 2024-10-07
Genre: Science
ISBN: 3527414142
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Learn to use modeling and simulation methods to attack real-world problems, from physics to engineering, from life sciences to process engineering Reviews of the first edition (2009): "Perfectly fits introductory modeling courses [...] and is an enjoyable reading in the first place. Highly recommended [...]" —Zentralblatt MATH, European Mathematical Society, 2009 "This book differs from almost all other available modeling books in that [the authors address] both mechanistic and statistical models as well as 'hybrid' models. [...] The modeling range is enormous." —SIAM Society of Industrial and Applied Mathematics, USA, 2011 This completely revised and substantially extended second edition answers the most important questions in the field of modeling: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation? What kind of mathematical problems appear and how can these be efficiently solved using professional free of charge open source software? The book addresses undergraduates and practitioners alike. Although only basic knowledge of calculus and linear algebra is required, the most important mathematical structures are discussed in sufficient detail, ranging from statistical models to partial differential equations and accompanied by examples from biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical, and process engineering. About 200 pages of additional material include a unique chapter on virtualization, Crash Courses on the data analysis and programming languages R and Python and on the computer algebra language Maxima, many new methods and examples scattered throughout the book and an update of all software-related procedures and a comprehensive book software providing templates for typical modeling tasks in thousands of code lines. The book software includes GmLinux, an operating system specifically designed for this book providing preconfigured and ready-to-use installations of OpenFOAM, Salome, FreeCAD/CfdOF workbench, ParaView, R, Maxima/wxMaxima, Python, Rstudio, Quarto/Markdown and other free of charge open source software used in the book.

Solving Applied Mathematical Problems with MATLAB

Solving Applied Mathematical Problems with MATLAB
Author:
Publisher: CRC Press
Total Pages: 434
Release: 2008-11-03
Genre: Mathematics
ISBN: 1420082515
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This textbook presents a variety of applied mathematics topics in science and engineering with an emphasis on problem solving techniques using MATLAB. The authors provide a general overview of the MATLAB language and its graphics abilities before delving into problem solving, making the book useful for readers without prior MATLAB experi

Methods of Applied Mathematics with a Software Overview

Methods of Applied Mathematics with a Software Overview
Author: Jon H. Davis
Publisher: Birkhäuser
Total Pages: 792
Release: 2016-12-09
Genre: Mathematics
ISBN: 3319433709
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Broadly organized around the applications of Fourier analysis, "Methods of Applied Mathematics with a MATLAB Overview" covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms. Transform inversion problems are also examined, along with the necessary background in complex variables. A final chapter treats wavelets, short-time Fourier analysis, and geometrically-based transforms. The computer program MATLAB is emphasized throughout, and an introduction to MATLAB is provided in an appendix. Rich in examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.

Adopting Open Source Software

Adopting Open Source Software
Author: Brian Fitzgerald
Publisher: MIT Press
Total Pages: 187
Release: 2011-10-14
Genre: Computers
ISBN: 0262297345
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A rich case-study analysis of open source software adoption by public organizations in different countries and settings. Government agencies and public organizations often consider adopting open source software (OSS) for reasons of transparency, cost, citizen access, and greater efficiency in communication and delivering services. Adopting Open Source Software offers five richly detailed real-world case studies of OSS adoption by public organizations. The authors analyze the cases and develop an overarching, conceptual framework to clarify the various enablers and inhibitors of OSS adoption in the public sector. The book provides a useful resource for policymakers, practitioners, and academics. The five cases of OSS adoption include a hospital in Ireland; an IT consortium serving all the municipalities of the province of Bozen-Bolzano, Italy; schools and public offices in the Extremadura region of Spain; the Massachusetts state government's open standards policy in the United States; and the ICT department of the Italian Chamber of Deputies. The book provides a comparative analysis of these cases around the issues of motivation, strategies, technologies, economic and social aspects, and the implications for theory and practice.

Handbook of Open Source Tools

Handbook of Open Source Tools
Author: Sandeep Koranne
Publisher: Springer Science & Business Media
Total Pages: 505
Release: 2010-10-17
Genre: Computers
ISBN: 1441977198
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Handbook of Open Source Tools introduces a comprehensive collection of advanced open source tools useful in developing software applications. The book contains information on more than 200 open-source tools which include software construction utilities for compilers, virtual-machines, database, graphics, high-performance computing, OpenGL, geometry, algebra, graph theory , GUIs and more. Special highlights for software construction utilities and application libraries are included. Each tool is covered in the context of a real like application development setting. This unique handbook presents a comprehensive discussion of advanced tools, a valuable asset used by most application developers and programmers; includes a special focus on Mathematical Open Source Software not available in most Open Source Software books, and introduces several tools (eg ACL2, CLIPS, CUDA, and COIN) which are not known outside of select groups, but are very powerful. Handbook of Open Source Tools is designed for application developers and programmers working with Open Source Tools. Advanced-level students concentrating on Engineering, Mathematics and Computer Science will find this reference a valuable asset as well.

Artificial Intelligence and Applied Mathematics in Engineering Problems

Artificial Intelligence and Applied Mathematics in Engineering Problems
Author: D. Jude Hemanth
Publisher: Springer Nature
Total Pages: 1105
Release: 2020-01-03
Genre: Technology & Engineering
ISBN: 3030361780
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This book features research presented at the 1st International Conference on Artificial Intelligence and Applied Mathematics in Engineering, held on 20–22 April 2019 at Antalya, Manavgat (Turkey). In today’s world, various engineering areas are essential components of technological innovations and effective real-world solutions for a better future. In this context, the book focuses on problems in engineering and discusses research using artificial intelligence and applied mathematics. Intended for scientists, experts, M.Sc. and Ph.D. students, postdocs and anyone interested in the subjects covered, the book can also be used as a reference resource for courses related to artificial intelligence and applied mathematics.

Numerically Solving Polynomial Systems with Bertini

Numerically Solving Polynomial Systems with Bertini
Author: Daniel J. Bates
Publisher: SIAM
Total Pages: 372
Release: 2013-11-08
Genre: Science
ISBN: 1611972698
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This book is a guide to concepts and practice in numerical algebraic geometry ? the solution of systems of polynomial equations by numerical methods. Through numerous examples, the authors show how to apply the well-received and widely used open-source Bertini software package to compute solutions, including a detailed manual on syntax and usage options. The authors also maintain a complementary web page where readers can find supplementary materials and Bertini input files. Numerically Solving Polynomial Systems with Bertini approaches numerical algebraic geometry from a user's point of view with numerous examples of how Bertini is applicable to polynomial systems. It treats the fundamental task of solving a given polynomial system and describes the latest advances in the field, including algorithms for intersecting and projecting algebraic sets, methods for treating singular sets, the nascent field of real numerical algebraic geometry, and applications to large polynomial systems arising from differential equations. Those who wish to solve polynomial systems can start gently by finding isolated solutions to small systems, advance rapidly to using algorithms for finding positive-dimensional solution sets (curves, surfaces, etc.), and learn how to use parallel computers on large problems. These techniques are of interest to engineers and scientists in fields where polynomial equations arise, including robotics, control theory, economics, physics, numerical PDEs, and computational chemistry.