Applied Mathematics with Open-Source Software

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A01=Geraint Palmer
A01=Vincent Knight
advanced mathematical problem solving
agent-based modeling
algorithmic optimization
Applied Mathematics
Author_Geraint Palmer
Author_Vincent Knight
Bicycle Repair Shop
Blood Supply Chain
Category=PBW
Continuous Time Markov Chain
DES
Direct Solution Approach
Discrete Event Simulation Frameworks
Discrete Time Markov Chain
dynamical systems
emergent behaviour
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Event Scheduling Approach
Feasible Convex Region
Find Nash Equilibria
healthcare operations research
Linear Programming Problem
Markov Chain
Markov Decision Processes
Nash Equilibrium
Neighbourhood Operator
Neighbourhood Search
Normal Form Game
Open Source Software
Operational Research
Operational Research Problems
optimisation
Ordinary Differential Equations
probabilistic modelling
Public Healthcare System
Pure Nash Equilibria
Python
R
simulation modeling
stochastic processes
system dynamics analysis
Time Dependent Travel Times
Vaccination Rate
Vaccine Rate

Product details

  • ISBN 9780367339982
  • Weight: 380g
  • Dimensions: 178 x 254mm
  • Publication Date: 27 May 2022
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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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.

Vince Knight is a Senior Lecturer at Cardiff University in the School of Mathematics. His research interests are in emergent behaviour, probabilistic modelling, applications in healthcare and pedagogy. He maintains a number of open-source research software projects, is a trustee of the UK Python association, is an editor for the Journal of Open-Source Software, was awarded the 2017 John Pinner award for contribution to the Python community and is a fellow of the Sustainable Software Institute. He regularly wins awards for his teaching in the School of Mathematics. He does not only speak at conferences around the world but continues to organise conferences to bring the power of open-source software to as many people as possible.

Geraint Palmer is a Welsh Medium Lecturer at Cardiff University in the School of Mathematics. He is a member of the operational research group where his research interests are in simulation and probabilistic modelling, in particular applying these to model public services such as healthcare systems. He uses open-source software in all aspects of his research: he is a maintainer of Ciw, an open-source Python library for discrete event simulation, and won the OR Society's Doctoral Award in 2018. Geraint is also a fellow of the Software Sustainability Institute and has presented at a number of international conferences on the subject of best practice of scientific computing, and regularly teaches programming and runs coding workshops for people of all ages.

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