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The Number System Of Algebra Treated Theoretically And Historically


The Number System Of Algebra Treated Theoretically And Historically
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The Number System Of Algebra Treated Theoretically And Historically


The Number System Of Algebra Treated Theoretically And Historically
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Author : Henry Burchard Fine
language : en
Publisher:
Release Date : 1890

The Number System Of Algebra Treated Theoretically And Historically written by Henry Burchard Fine and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1890 with Algebra categories.




The Number System Of Algebra


The Number System Of Algebra
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Author : Henry Burchard Fine
language : en
Publisher:
Release Date : 1890

The Number System Of Algebra written by Henry Burchard Fine and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1890 with Algebra categories.




The Number System Of Algebra


The Number System Of Algebra
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Author : Henry B. Fine
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2017-09-19

The Number System Of Algebra written by Henry B. Fine and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-19 with categories.


IN this book, are treated concisely the following subjects: I. Theoretical. The Positive Integer; Subtraction and the Negative Integer; Division and the Fraction; The Irrational; The Imaginary and Complex Numbers: Graphical Representations of Numbers; The Fundamental Theorem of Algebra; Defined by infinite series; The Exponential and Logarithmic Functions. II. Historical. The Primitive Numerals; Historic System of Notation; The Fraction; Origin of the Irrationals; Origin of the Negative and the Imaginary; Acceptance of the Negative, the general Irrational, and the Imaginary as Numbers: Recognition of the Purely Symbolic Nature of Algebra. This little book should be read by every teacher of Algebra and by every student desiring to pursue the Modern Higher Mathematical Analysis. The theoretical part is very instructive and the historical part full of many interesting facts. --The American Mathematical Monthly, Vol. 1



The Number System Of Algebra


The Number System Of Algebra
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Author : Henry B. Fine
language : en
Publisher: Forgotten Books
Release Date : 2015-06-16

The Number System Of Algebra written by Henry B. Fine and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-16 with Mathematics categories.


Excerpt from The Number-System of Algebra: Treated Theoretically and Historically The theoretical part of this little book is an elementary exposition of the nature of the number concept, of the positive integer, and of the four artificial forms of number which, with the positive integer, constitute the "number-system" of algebra, viz. the negative, the fraction, the irrational, and the imaginary. The discussion of the artificial numbers follows, in general, the same lines as my pamphlet: On the Forms of Number arising in Common Algebra, but it is much more exhaustive and thoroughgoing. The point of view is the one first suggested by Peacock and Gregory, and accepted by mathematicians generally since the discovery of quaternions and the Ausdehnungslehre of Grassmann, that algebra is completely defined formally by the laws of combination to which its fundamental operations are subject; that, speaking generally, these laws alone define the operations, and the operations the various artificial numbers, as their formal or symbolic results. This doctrine was fully developed for the negative, the fraction, and the imaginary by Hankel, in his Complexe Zahlensystemen, in 1867, and made complete by Cantor's beautiful theory of the irrational in 1871, but it has not as yet received adequate treatment in English. Any large degree of originality in work of this kind is naturally out of the question. 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.



The Number System Of Algebra


The Number System Of Algebra
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Author : Henry B Fine
language : en
Publisher:
Release Date : 2019-06-25

The Number System Of Algebra written by Henry B Fine and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-25 with categories.


IN this little book, are treated concisely the following subjects: I. Theoretical. The Positive Integer; Subtraction and the Negative Integer; Division and the Fraction; The Irrational; The Imaginary and Complex Numbers: Graphical Representations of Numbers; The Fundamental Theorem of Algebra; Defined by infinite series; The Exponential and Logarithmic Functions.II. Historical. The Primitive Numerals; Historic System of Notation; The Fraction; Origin of the Irrationals; Origin of the Negative and the Imaginary; Acceptance of the Negative, the general Irrational, and the Imaginary as Numbers: Recognition of the Purely Symbolic Nature of Algebra.This little book should be read by every teacher of Algebra and by every student desiring to pursue the Modern Higher Mathematical Analysis. The theoretical part is very instructive and the historical part full of many interesting facts.--"""The American Mathematical Monthly," Vol. 1



The American Mathematical Monthly


The American Mathematical Monthly
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Author :
language : en
Publisher:
Release Date : 1895

The American Mathematical Monthly written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1895 with Mathematicians categories.




A Semicentennial History Of The American Mathematical Society 1888 1938


A Semicentennial History Of The American Mathematical Society 1888 1938
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Author : Raymond Clare Archibald
language : en
Publisher: American Mathematical Soc.
Release Date : 1938-12-31

A Semicentennial History Of The American Mathematical Society 1888 1938 written by Raymond Clare Archibald and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1938-12-31 with Mathematics categories.


This volume outlines the history of the AMS in its first fifty years. To download free chapters of this book, click here.



The London Edinburgh And Dublin Philosophical Magazine And Journal Of Science


The London Edinburgh And Dublin Philosophical Magazine And Journal Of Science
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Author :
language : en
Publisher:
Release Date : 1891

The London Edinburgh And Dublin Philosophical Magazine And Journal Of Science written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1891 with Physics categories.




Trilogy Of Numbers And Arithmetic Book 1 History Of Numbers And Arithmetic An Information Perspective


Trilogy Of Numbers And Arithmetic Book 1 History Of Numbers And Arithmetic An Information Perspective
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Author : Mark Burgin
language : en
Publisher: World Scientific
Release Date : 2022-04-22

Trilogy Of Numbers And Arithmetic Book 1 History Of Numbers And Arithmetic An Information Perspective written by Mark Burgin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-22 with Mathematics categories.


The book is the first in the trilogy which will bring you to the fascinating world of numbers and operations with them. Numbers provide information about myriads of things. Together with operations, numbers constitute arithmetic forming in basic intellectual instruments of theoretical and practical activity of people and offering powerful tools for representation, acquisition, transmission, processing, storage, and management of information about the world.The history of numbers and arithmetic is the topic of a variety of books and at the same time, it is extensively presented in many books on the history of mathematics. However, all of them, at best, bring the reader to the end of the 19th century without including the developments in these areas in the 20th century and later. Besides, such books consider and describe only the most popular classes of numbers, such as whole numbers or real numbers. At the same time, a diversity of new classes of numbers and arithmetic were introduced in the 20th century.This book looks into the chronicle of numbers and arithmetic from ancient times all the way to 21st century. It also includes the developments in these areas in the 20th century and later. A unique aspect of this book is its information orientation of the exposition of the history of numbers and arithmetic.



Writings Of Charles S Peirce Volume 8 1890 1892


Writings Of Charles S Peirce Volume 8 1890 1892
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Author : Charles S. Peirce
language : en
Publisher: Indiana University Press
Release Date : 2009-12-07

Writings Of Charles S Peirce Volume 8 1890 1892 written by Charles S. Peirce and has been published by Indiana University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-07 with Philosophy categories.


Volume 8 of this landmark edition follows Peirce from May 1890 through July 1892—a period of turmoil as his career unraveled at the U.S. Coast and Geodetic Survey. The loss of his principal source of income meant the beginning of permanent penury and a lifelong struggle to find gainful employment. His key achievement during these years is his celebrated Monist metaphysical project, which consists of five classic articles on evolutionary cosmology. Also included are reviews and essays from The Nation in which Peirce critiques Paul Carus, William James, Auguste Comte, Cesare Lombroso, and Karl Pearson, and takes part in a famous dispute between Francis E. Abbot and Josiah Royce. Peirce's short philosophical essays, studies in non-Euclidean geometry and number theory, and his only known experiment in prose fiction complete his production during these years. Peirce's 1883-1909 contributions to the Century Dictionary form the content of volume 7 which is forthcoming.