Science By Simulation - Volume 1: A Mezze Of Mathematical Models

by Andrew French (Author) 

A Mezze of Mathematical Methods is Volume 1 of Science by Simulation. It is a recipe book of mathematical models that can be enlivened by the transmutation of equations into computer code. In this volume, the examples chosen are an eclectic mix of systems and stories rooted in common experience, rather than those normally associated with constrained courses on Physics, Chemistry or Biology which are taught in isolation and susceptible to going out of date in a few years.

Rather than a 'what' of Science, this book is aimed at the 'how', readily applied to projects by students and professionals. Written in a friendly style based upon the author's expertise in teaching and pedagogy, this mathematically rigorous book is designed for readers to follow arguments step-by-step with stand-alone chapters which can be read independently. This approach will provide a tangible and readily accessible context for the development of a wide range of interconnected mathematical ideas and computing methods that underpin the practice of Science.

Contents:

• Introduction
• The Epidemiology of Eyam
• Holmes and Watson Meet Bayes
• May's Chaotic Bunnies
• Pendulums, Poincaré Diagrams and Strange Attractors
• A Standard Atmosphere
• The Subtlety of Rainbows
• Exploring Julia's Fractals
• Radar, Chirps and Phased Arrays
• Navigating the Sphere
• Modelling Money and Mortgages
• Power to the People
• Appendices:
  • Linear Regression — Determining Lines of Best Fit
  • Using the Runge–Kutta Method to Solve the Pendulum Problem

Readership: A book for early undergraduate and keen high school students of Mathematics, Physics, Economics, Chemistry, Engineering, Computer Science, and Biology. Teachers and lecturers should consider using this to assist with teaching STEM subjects. Also valuable as a general interest textbook for the professional mathematical modelling community.