History Of Modern Mathematics
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History Of Modern Mathematics
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Author : David Eugene Smith
language : en
Publisher: BoD - Books on Demand
Release Date : 2023-01-01
History Of Modern Mathematics written by David Eugene Smith and has been published by BoD - Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Mathematics categories.
A survey of the major figures and mathematical movements of the 19th century, this is a thorough examination of every significant foundation stone of today's modern mathematics. Providing clear and concise articles on the fundamental definition of numbers through to quantics and infinite series, as well as exposition on the relationships between theorems, this volume, which was first published in 1896, cements itself as an essential reference work, a solid jumping-off point for all students of mathematics, and a fascinating glimpse at the once-cutting edge that now is taken for granted in an ever-changing scientific field. New York lawyer and mathematician DAVID EUGENE SMITH (1860-1944) authored a number of books while a professor of mathematics at Columbia University, including The Teaching of Elementary Mathematics (1900), A History of Japanese Mathematics (1914).
History Of Modern Mathematics
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Author : David Eugene Smith
language : en
Publisher:
Release Date : 1896
History Of Modern Mathematics written by David Eugene Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1896 with Mathematics categories.
History Of Modern Mathematics
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Author : David Eugene Smith
language : en
Publisher:
Release Date : 2019
History Of Modern Mathematics written by David Eugene Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
History And Philosophy Of Modern Mathematics
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Author : William Aspray
language : en
Publisher: U of Minnesota Press
Release Date : 1988
History And Philosophy Of Modern Mathematics written by William Aspray 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 1988 with Mathematics categories.
History and Philosophy of Modern Mathematics was first published in 1988. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. The fourteen essays in this volume build on the pioneering effort of Garrett Birkhoff, professor of mathematics at Harvard University, who in 1974 organized a conference of mathematicians and historians of modern mathematics to examine how the two disciplines approach the history of mathematics. In History and Philosophy of Modern Mathematics, William Aspray and Philip Kitcher bring together distinguished scholars from mathematics, history, and philosophy to assess the current state of the field. Their essays, which grow out of a 1985 conference at the University of Minnesota, develop the basic premise that mathematical thought needs to be studied from an interdisciplinary perspective. The opening essays study issues arising within logic and the foundations of mathematics, a traditional area of interest to historians and philosophers. The second section examines issues in the history of mathematics within the framework of established historical periods and questions. Next come case studies that illustrate the power of an interdisciplinary approach to the study of mathematics. The collection closes with a look at mathematics from a sociohistorical perspective, including the way institutions affect what constitutes mathematical knowledge.
History Of Modern Mathematics Mathematical Monographs No 1
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Author : David Eugene Smith
language : en
Publisher:
Release Date : 2005
History Of Modern Mathematics Mathematical Monographs No 1 written by David Eugene Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
History Of Modern Mathematics
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Author : David Smith
language : en
Publisher:
Release Date : 2013-03-30
History Of Modern Mathematics written by David Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-30 with categories.
In considering the history of modern mathematics two questions at once arise:(1) What limitations shall be placed upon the term Mathematics?(2) What force shall be assigned to the word Modern? In other words, how shall Modern Mathematics be defined?In these pages the term Mathematics will be limited to the domain of pure science. Questions of the applications of the various branches will be considered only incidentally. Such great contributions as those of Newton in the realm of mathematical physics, of Laplace in celestial mechanics, of Lagrange and Cauchy in the wave theory, and of Poisson, Fourier, and Bessel in the theory of heat, belong rather to the field of applications.In particular, in the domain of numbers reference will be made to certain ofthe contributions to the general theory, to the men who have placed the study of irrational and transcendent numbers upon a scientific foundation, and to those who have developed the modern theory of complex numbers and its elaboration in the field of quaternions and Ausdehnungslehre. In the theory of equations the names of some of the leading investigators will be mentioned, together with a brief statement of the results which they secured. The impossibility of solving the quintic will lead to a consideration of the names of the founders of the group theory and of the doctrine of determinants. This phase of higher algebra will be followed by the theory of forms, or quantics. The later development of the calculus, leading to differential equations and the theory of functions, will complete the algebraic side, save for a brief reference to the theory of probabilities. In the domain of geometry some of the contributors to the later development of the analytic and synthetic fields will be mentioned, together with the most noteworthy results of their labors. Had the author's space not been so strictly limited he would have given lists of those who have worked in other important lines, but the topics considered have been thought to have the best right to prominent place under any reasonable definition of Mathematics.Modern Mathematics is a term by no means well defined. Algebra cannot be called modern, and yet the theory of equations has received some of its most important additions during the nineteenth century, while the theory of forms is a recent creation. Similarly with elementary geometry; the labors of Lobachevsky and Bolyai during the second quarter of the century threw a new light upon the whole subject, and more recently the study of the triangle has added another chapter to the theory. Thus the history of modern mathematics must also be the modern history of ancient branches, while subjects which seem the product of late generations have root in other centuries than the present. To the influence of the schools and the journals must be added that of the various learned societies3 whose published proceedings are widely known, together with the increasing liberality of such societies in the preparation of complete works of a monumental character.CONTENTS:1 - THEORY OF NUMBERS2 - IRRATIONAL AND TRANSCENDENT NUMBERS3 - COMPLEX NUMBERS4 - QUATERNIONS AND AUSDEHNUNGSLEHRE5 - THEORY OF EQUATIONS6 - SUBSTITUTIONS AND GROUPS7 - DETERMINANTS8 - QUANTICS9 - CALCULUS10 - DIFFERENTIAL EQUATIONS11 - INFINITE SERIES.12 - THEORY OF FUNCTIONS13 - PROBABILITIES AND LEAST SQUARES14 - ANALYTIC GEOMETRY15 - MODERN GEOMETRY16 - ELEMENTARY GEOMETRY17 - NON-EUCLIDEAN GEOMETRY
History Of Modern Mathematics
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Author : Mansfield Merriman David Eugene Smith
language : en
Publisher: Andesite Press
Release Date : 2015-08-11
History Of Modern Mathematics written by Mansfield Merriman David Eugene Smith and has been published by Andesite Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-11 with categories.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
History Of Modern Mathematics
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Author : David Eugene Smith
language : en
Publisher:
Release Date : 2019-12-20
History Of Modern Mathematics written by David Eugene Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-20 with categories.
This little work was published about ten years ago as a chapter in Merriman and Woodward's Higher Mathematics. It was written before the numerous surveys of the development of science in the past hundred years, which appeared at the close of the nineteenth century, and it therefore had more reason for being then than now, save as it can now call attention, to these later contributions. The conditions under which it was published limited it to such a small compass that it could do no more than present a list of the most prominent names in connection with a few important topics. Since it is necessary to use the same plates in this edition, simply adding a few new pages, the body of the work remains substantially as it first appeared. The book therefore makes no claim to being history, but stands simply as an outline of the prominent movementsin mathematics, presenting a few of the leading names, and calling attention to some of the bibliography of the subject.
Institutions And Applications
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Author : David E. Rowe
language : en
Publisher: Academic Press
Release Date : 2014-06-28
Institutions And Applications written by David E. Rowe and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.
The History of Modern Mathematics, Volume II: Institutions and Applications focuses on the history and progress of methodologies, techniques, principles, and approaches involved in modern mathematics. The selection first elaborates on crystallographic symmetry concepts and group theory, case of potential theory and electrodynamics, and geometrization of analytical mechanics. Discussions focus on differential geometry and least action, intrinsic differential geometry, physically-motivated research in potential theory, introduction of potentials in electrodynamics, and group theory and crystallography in the mid-19th century. The text then elaborates on Schouten, Levi-Civita, and emergence of tensor calculus, modes and manners of applied mathematics, and pure and applied mathematics in divergent institutional settings in Germany. Topics include function of mathematics within technical colleges, evolvement of the notion of applied mathematics, rise of technical colleges, and an engineering approach to mechanics. The publication examines the transformation of numerical analysis by the computer; mathematics at the Berlin Technische Hochschule/Technische Universität; and contribution of mathematical societies to promoting applications of mathematics in Germany. The selection is a valuable reference for mathematicians and researchers interested in the history of modern mathematics. Mathematical institutions in France and Germany and their role in promoting applications Relationship between mathematics and physics Foundations of mathematics Complex variable theory, geometry and topology Geometry in the spirit of Klein's Erlangen program Algebra and number theory Formative influences on mathematics in the United States
The History Of Modern Mathematics
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Author : D. E. Rowe
language : en
Publisher:
Release Date : 1989
The History Of Modern Mathematics written by D. E. Rowe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.