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Matrix, Numerical, and Optimization Methods in Science and Engineering

Matrix, Numerical, and Optimization Methods in Science and Engineering
Author: Kevin W. Cassel
Publisher: Cambridge University Press
Total Pages: 728
Release: 2021-03-04
Genre: Technology & Engineering
ISBN: 1108787622

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Address vector and matrix methods necessary in numerical methods and optimization of linear systems in engineering with this unified text. Treats the mathematical models that describe and predict the evolution of our processes and systems, and the numerical methods required to obtain approximate solutions. Explores the dynamical systems theory used to describe and characterize system behaviour, alongside the techniques used to optimize their performance. Integrates and unifies matrix and eigenfunction methods with their applications in numerical and optimization methods. Consolidating, generalizing, and unifying these topics into a single coherent subject, this practical resource is suitable for advanced undergraduate students and graduate students in engineering, physical sciences, and applied mathematics.


Numerical Methods of Curve Fitting

Numerical Methods of Curve Fitting
Author: P. G. Guest
Publisher: Cambridge University Press
Total Pages: 439
Release: 2012-12-13
Genre: Mathematics
ISBN: 1107646952

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This 1961 book provides information on the methods of treating series of observations; the field covered embraces portions of both statistics and numerical analysis.


Practical Handbook of Curve Fitting

Practical Handbook of Curve Fitting
Author: Sandra Arlinghaus
Publisher: CRC Press
Total Pages: 261
Release: 2023-06-14
Genre: Mathematics
ISBN: 1000943283

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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.


A Method of Curve Fitting

A Method of Curve Fitting
Author: S. Krichewsky
Publisher:
Total Pages: 36
Release: 1922
Genre: Curve fitting
ISBN:

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Fitting Models to Biological Data Using Linear and Nonlinear Regression

Fitting Models to Biological Data Using Linear and Nonlinear Regression
Author: Harvey Motulsky
Publisher: Oxford University Press
Total Pages: 352
Release: 2004-05-27
Genre: Mathematics
ISBN: 9780198038344

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Most biologists use nonlinear regression more than any other statistical technique, but there are very few places to learn about curve-fitting. This book, by the author of the very successful Intuitive Biostatistics, addresses this relatively focused need of an extraordinarily broad range of scientists.


Practical Curve Fitting and Data Analysis

Practical Curve Fitting and Data Analysis
Author: Joseph H. Noggle
Publisher: Prentice Hall
Total Pages: 222
Release: 1993
Genre: Computers
ISBN:

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This guide focuses on how to make graphs and abstract physical information from data using a personal computer. This tutorial program/book package covers the elements of curve fitting and statistical treatment of data and numerical analysis. Taking a step-by-step approach, the book, the program, and the accompanying data files are designed to demonstrate common errors and pitfalls. It contains examples from analytical chemistry, chemical engineering and biochemistry. For those engineers and/or scientists who want to easily make graphs and plot physical information from data with a microcomputer.


A Method of Smooth Curve Fitting

A Method of Smooth Curve Fitting
Author: Hiroshi Akima
Publisher:
Total Pages: 30
Release: 1969
Genre: Interpolation
ISBN:

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A new mathematical method of fitting a smooth curve to a set of given points in a plane is developed, and a computer subroutine is programmed to implement the method. This method is devised in such a way that the resultant curve will pass through all the given points and will look smooth and natural. The interpolation between the given points is performed locally, and no assumption of the functional form is made for the whole curve.


From Curve Fitting to Machine Learning

From Curve Fitting to Machine Learning
Author: Achim Zielesny
Publisher: Springer
Total Pages: 509
Release: 2016-04-13
Genre: Computers
ISBN: 3319325450

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This successful book provides in its second edition an interactive and illustrative guide from two-dimensional curve fitting to multidimensional clustering and machine learning with neural networks or support vector machines. Along the way topics like mathematical optimization or evolutionary algorithms are touched. All concepts and ideas are outlined in a clear cut manner with graphically depicted plausibility arguments and a little elementary mathematics.The major topics are extensively outlined with exploratory examples and applications. The primary goal is to be as illustrative as possible without hiding problems and pitfalls but to address them. The character of an illustrative cookbook is complemented with specific sections that address more fundamental questions like the relation between machine learning and human intelligence.All topics are completely demonstrated with the computing platform Mathematica and the Computational Intelligence Packages (CIP), a high-level function library developed with Mathematica's programming language on top of Mathematica's algorithms. CIP is open-source and the detailed code used throughout the book is freely accessible.The target readerships are students of (computer) science and engineering as well as scientific practitioners in industry and academia who deserve an illustrative introduction. Readers with programming skills may easily port or customize the provided code. "'From curve fitting to machine learning' is ... a useful book. ... It contains the basic formulas of curve fitting and related subjects and throws in, what is missing in so many books, the code to reproduce the results.All in all this is an interesting and useful book both for novice as well as expert readers. For the novice it is a good introductory book and the expert will appreciate the many examples and working code". Leslie A. Piegl (Review of the first edition, 2012).