Major text/reference work on computer modeling for students and researchers in any quantitative or semi-quantitative discipline, first published in 1998.
This book conceptualizes the nature of mathematical modeling in the early grades from both teaching and learning perspectives.
This is certainly a succinct little proof (see Ron Knott's extensive website on Fibonacci numbers:http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fib.html), but there is another (stated as a corollary below), ...
Mathematical models are the decisive tool to explain and predict phenomena in the natural and engineering sciences. With this book readers will learn to derive mathematical models which help to understand real world phenomena.
Mathematical models are the decisive tool to explain and predict phenomena in the natural and engineering sciences. With this book readers will learn to derive mathematical models which help to understand real world phenomena.
The process of science via the building, testing and use of models (theories) is described and forms the structure of the book. The book covers a broad range from the molecular to ecosystems and whole-Earth phenomena.
In this book we describe the magic world of mathematical models: starting from real-life problems, we formulate them in terms of equations, transform equations into algorithms and algorithms into programs to be executed on computers.
Blending theoretical constructs and practical considerations, the book presents papers from the latest conference of the ICTMA, beginning with the basics (Why are models necessary?
Accessible text features over 100 reality-based examples pulled from the science, engineering, and operations research fields.
Features Each chapter includes four levels: a lecture (main chapter material), an appendix (additional information), notes (explanations, technical calculations, literature review) and tasks for independent work; this is suitable for ...
In addition, the book thoroughly summarizes widely used mathematical and numerical methods in mathematical modeling and features: Diverse topics such as partial differential equations (PDEs), fractional calculus, inverse problems by ...