The Theory Of Errors And Method Of Least Squares Classic Reprint
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The Theory Of Errors And Method Of Least Squares
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Author : William Woolsey Johnson
language : en
Publisher:
Release Date : 1890
The Theory Of Errors And Method Of Least Squares written by William Woolsey Johnson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1890 with Error analysis (Mathematics) categories.
The Theory Of Errors And Method Of Least Squares Classic Reprint
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Author : William Woolsey Johnson
language : en
Publisher:
Release Date : 2015-08-06
The Theory Of Errors And Method Of Least Squares Classic Reprint written by William Woolsey Johnson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-06 with Mathematics categories.
Excerpt from The Theory of Errors and Method of Least Squares The basis adopted in this book for the theory of accidental errors is that laid down by Gauss in the Theoria Motus Corporum CaUstium (republished as vol. vii of the Werke) which may be described for the most part in his own words, as follows: "The hypothesis is in fact wont to be considered as an axiom that, if any quantity has been determined by several direct observations, made under similar circumstances and with equal care, the arithmetical mean between all the observed values presents the most probable value, if not with absolute rigor, at least very nearly so, so that it is always safest to adhere to it." (Art.177.) Then introducing the notion of a law of facility of error to give precise meaning to the phrase "most probable value," we cannot do better than to adopt that law of facility in accordance with which the arithmetical mean is the most probable value. After deriving this law and showing that it leads to the principle of least squares, he says: "This principle, which in all applications of mathematics to natural philosophy admits of very frequent use, ought everywhere to hold good as an axiom by the same right as that by which the arithmetical mean between several observed values of the same quantity is adopted as the most probable value." (Art. 179) About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Solving Least Squares Problems
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Author : Charles L. Lawson
language : en
Publisher: SIAM
Release Date : 1995-12-01
Solving Least Squares Problems written by Charles L. Lawson and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-12-01 with Mathematics categories.
This Classic edition includes a new appendix which summarizes the major developments since the book was originally published in 1974. The additions are organized in short sections associated with each chapter. An additional 230 references have been added, bringing the bibliography to over 400 entries. Appendix C has been edited to reflect changes in the associated software package and software distribution method.
Classic Topics On The History Of Modern Mathematical Statistics
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Author : Prakash Gorroochurn
language : en
Publisher: John Wiley & Sons
Release Date : 2016-04-04
Classic Topics On The History Of Modern Mathematical Statistics written by Prakash Gorroochurn and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-04 with Mathematics categories.
"There is nothing like it on the market...no others are as encyclopedic...the writing is exemplary: simple, direct, and competent." —George W. Cobb, Professor Emeritus of Mathematics and Statistics, Mount Holyoke College Written in a direct and clear manner, Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times presents a comprehensive guide to the history of mathematical statistics and details the major results and crucial developments over a 200-year period. Presented in chronological order, the book features an account of the classical and modern works that are essential to understanding the applications of mathematical statistics. Divided into three parts, the book begins with extensive coverage of the probabilistic works of Laplace, who laid much of the foundations of later developments in statistical theory. Subsequently, the second part introduces 20th century statistical developments including work from Karl Pearson, Student, Fisher, and Neyman. Lastly, the author addresses post-Fisherian developments. Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times also features: A detailed account of Galton's discovery of regression and correlation as well as the subsequent development of Karl Pearson's X2 and Student's t A comprehensive treatment of the permeating influence of Fisher in all aspects of modern statistics beginning with his work in 1912 Significant coverage of Neyman–Pearson theory, which includes a discussion of the differences to Fisher’s works Discussions on key historical developments as well as the various disagreements, contrasting information, and alternative theories in the history of modern mathematical statistics in an effort to provide a thorough historical treatment Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times is an excellent reference for academicians with a mathematical background who are teaching or studying the history or philosophical controversies of mathematics and statistics. The book is also a useful guide for readers with a general interest in statistical inference.
Theory Of The Combination Of Observations Least Subject To Errors
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Author : Carl Friedrich Gauss
language : en
Publisher: SIAM
Release Date : 1995-01-01
Theory Of The Combination Of Observations Least Subject To Errors written by Carl Friedrich Gauss and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Mathematics categories.
English translation of Gauss' two memoirs which contain his final, definitive treatment of least squares and wealth of additional material.
An Abridged Method Of Least Squares Applied To The Adjustment Of Level Nets
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Author : Clarence Edward Soloman Bardsley
language : en
Publisher:
Release Date : 1940
An Abridged Method Of Least Squares Applied To The Adjustment Of Level Nets written by Clarence Edward Soloman Bardsley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1940 with Engineering categories.
The Classical Moment Problem And Some Related Questions In Analysis
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Author : N.I. Akhiezer
language : en
Publisher: SIAM
Release Date : 2020-12-01
The Classical Moment Problem And Some Related Questions In Analysis written by N.I. Akhiezer and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-01 with Mathematics categories.
The mathematical theory for many application areas depends on a deep understanding of the theory of moments. These areas include medical imaging, signal processing, computer visualization, and data science. The problem of moments has also found novel applications to areas such as control theory, image analysis, signal processing, polynomial optimization, and statistical big data. The Classical Moment Problem and Some Related Questions in Analysis presents a unified treatment of the development of the classical moment problem from the late 19th century to the middle of the 20th century. Important connections between the moment problem and many branches of analysis are presented. In this self-contained text, readers will find a unified exposition of important classical results, which are difficult to read in the original journals, as well as a strong foundation for many areas in modern applied mathematics. Researchers in areas that use techniques developed for the classical moment problem will find the book of interest.
Boundary Value Problems Of Mathematical Physics
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Author : Ivar Stakgold
language : en
Publisher: SIAM
Release Date : 2000-06-30
Boundary Value Problems Of Mathematical Physics written by Ivar Stakgold and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-30 with Science categories.
For more than 30 years, this two-volume set has helped prepare graduate students to use partial differential equations and integral equations to handle significant problems arising in applied mathematics, engineering, and the physical sciences. Originally published in 1967, this graduate-level introduction is devoted to the mathematics needed for the modern approach to boundary value problems using Green's functions and using eigenvalue expansions. Now a part of SIAM's Classics series, these volumes contain a large number of concrete, interesting examples of boundary value problems for partial differential equations that cover a variety of applications that are still relevant today. For example, there is substantial treatment of the Helmholtz equation and scattering theory?subjects that play a central role in contemporary inverse problems in acoustics and electromagnetic theory.
Numerical Methods For Large Eigenvalue Problems
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Author : Yousef Saad
language : en
Publisher: SIAM
Release Date : 2011-05-26
Numerical Methods For Large Eigenvalue Problems written by Yousef Saad and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-26 with Mathematics categories.
This revised edition discusses numerical methods for computing the eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications. Each chapter was updated by shortening or deleting outdated topics, adding topics of more recent interest and adapting the Notes and References section. Significant changes have been made to Chapters 6 through 8, which describe algorithms and their implementations and now include topics such as the implicit restart techniques, the Jacobi-Davidson method and automatic multilevel substructuring.
Thicker Than Blood
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Author : Tukufu Zuberi
language : en
Publisher: U of Minnesota Press
Release Date : 2001
Thicker Than Blood written by Tukufu Zuberi and has been published by U of Minnesota Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Social Science categories.
When these data are available, what should the principles be guiding their dissemination, interpretation, and analysis?"--BOOK JACKET.