Exponential Curve
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Practical Handbook of Curve Fitting
Practical Handbook of Curve Fitting is a reference work assembled by Arlinghaus and a set of editors with well over a century of combined experience in various disciplines and activities related to curve fitting. The book demonstrates how to analyze World data bases and graph and map the results. Default settings in software packages can produce attractive graphs of data imported into the software. Often, however, the default graph has no equation associated with it and cannot therefore be used as a tool for further analysis or projection of the data. The same software can often be used to generate curves from equations. The reader is shown directly, and in a series of steps, how to fit curves to data using Lotus 1-2-3. There are traditional unbounded curve fitting techniques-lines of least squares, exponentials, logistic curves, and Gompertz curves. There is the bounded curve fitting technique of cubic spline interpolation. Beyond these, there is a detailed application of Feigenbaum's graphical analysis from chaos theory, and there is a hint as to how fractal geometry might come into play. Curve fitting algorithms take on new life when they are actually used on real-world data. They are used in numerous worked examples drawn from electronic data bases of public domain information from the Stars data base of The World Bank and from the WRD data base of the World Resources Institute. The applications are current and reflect a state-of-the-art interest in the human dimensions of global change.
Basic Physics
Author: Kenneth W Ford
language: en
Publisher: World Scientific Publishing Company
Release Date: 2016-12-15
This reissued version of the classic text Basic Physics will help teachers at both the high-school and college levels gain new insights into, and deeper understanding of, many topics in both classical and modern physics that are commonly taught in introductory physics courses. All of the original book is included with new content added. Short sections of the previous book (174 in number) are labeled 'Features.' These Features are highlighted in the book, set forth in a separate Table of Contents, and separately indexed.Many teachers will value this book as a personal reference during a teaching year as various topics are addressed. Ford's discussions of the history and meaning of topics from Newton's mechanics to Feynman's diagrams, although written first in 1968, have beautifully withstood the test of time and are fully relevant to 21st-century physics teaching.
Finite Difference Computing with Exponential Decay Models
This text provides a very simple, initial introduction to the complete scientific computing pipeline: models, discretization, algorithms, programming, verification, and visualization. The pedagogical strategy is to use one case study – an ordinary differential equation describing exponential decay processes – to illustrate fundamental concepts in mathematics and computer science. The book is easy to read and only requires a command of one-variable calculus and some very basic knowledge about computer programming. Contrary to similar texts on numerical methods and programming, this text has a much stronger focus on implementation and teaches testing and software engineering in particular.