Historiography Of Mathematics In The 19th And 20th Centuries

Author : Volker R. Remmert,Martina R. Schneider,Henrik Kragh Sørensen
Publisher : Birkhäuser
Page : 276 pages
File Size : 44,5 Mb
Release : 2016-12-08
Category : Mathematics
ISBN : 9783319396491

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Historiography of Mathematics in the 19th and 20th Centuries by Volker R. Remmert,Martina R. Schneider,Henrik Kragh Sørensen Pdf

This book addresses the historiography of mathematics as it was practiced during the 19th and 20th centuries by paying special attention to the cultural contexts in which the history of mathematics was written. In the 19th century, the history of mathematics was recorded by a diverse range of people trained in various fields and driven by different motivations and aims. These backgrounds often shaped not only their writing on the history of mathematics, but, in some instances, were also influential in their subsequent reception. During the period from roughly 1880-1940, mathematics modernized in important ways, with regard to its content, its conditions for cultivation, and its identity; and the writing of the history of mathematics played into the last part in particular. Parallel to the modernization of mathematics, the history of mathematics gradually evolved into a field of research with its own journals, societies and academic positions. Reflecting both a new professional identity and changes in its primary audience, various shifts of perspective in the way the history of mathematics was and is written can still be observed to this day. Initially concentrating on major internal, universal developments in certain sub-disciplines of mathematics, the field gradually gravitated towards a focus on contexts of knowledge production involving individuals, local practices, problems, communities, and networks. The goal of this book is to link these disciplinary and methodological changes in the history of mathematics to the broader cultural contexts of its practitioners, namely the historians of mathematics during the period in question.

Author : Joseph W. Dauben,Christoph J. Scriba
Publisher : Springer Science & Business Media
Page : 776 pages
File Size : 54,7 Mb
Release : 2002-09-23
Category : Mathematics
ISBN : 3764361670

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Writing the History of Mathematics: Its Historical Development by Joseph W. Dauben,Christoph J. Scriba Pdf

As an historiographic monograph, this book offers a detailed survey of the professional evolution and significance of an entire discipline devoted to the history of science. It provides both an intellectual and a social history of the development of the subject from the first such effort written by the ancient Greek author Eudemus in the Fourth Century BC, to the founding of the international journal, Historia Mathematica, by Kenneth O. May in the early 1970s.

Author : Mehrtens,Hendrik (Short form: Henk) Hendriks,Ivo Schneider
Publisher : Springer Science & Business Media
Page : 307 pages
File Size : 54,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468494914

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Social History of Nineteenth Century Mathematics by Mehrtens,Hendrik (Short form: Henk) Hendriks,Ivo Schneider Pdf

During the last few decades historians of science have shown a growing interest in science as a cultural activity and have regarded science more and more as part of the gene ral developments that have occurred in society. This trend has been less evident arnong historians of mathematics, who traditionally concentrate primarily on tracing the develop ment of mathematical knowledge itself. To some degree this restriction is connected with the special role of mathematics compared with the other sciences; mathematics typifies the most objective, most coercive type of knowledge, and there fore seems to be least affected by social influences. Nevertheless, biography, institutional history and his tory of national developments have long been elements in the historiography of mathematics. This interest in the social aspects of mathematics has widened recently through the stu dy of other themes, such as the relation of mathematics to the development of the educational system. Some scholars have begun to apply the methods of historical sociology of knowledge to mathematics; others have attempted to give a ix x Marxist analysis of the connection between mathematics and productive forces, and there have been philosophical studies about the communication processes involved in the production of mathematical knowledge. An interest in causal analyses of historical processes has led to the study of other factors influencing the development of mathematics, such as the f- mation of mathematical schools, the changes in the profes- onal situation of the mathematician and the general cultural milieu of the mathematical scientist.

Author : Florian Cajori
Publisher : American Mathematical Soc.
Page : 540 pages
File Size : 47,6 Mb
Release : 1999
Category : Mathematics
ISBN : 9780821821022

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A History of Mathematics by Florian Cajori Pdf

This Fifth Edition (1991) of a book first published in 1893 covers the period from antiquity to the close of World War I, with major emphasis on advanced mathematics and, in particular, the advanced mathematics of the nineteenth and early twentieth centuries. In one concise volume this unique book presents an interesting and reliable account of mathematics history for those who cannot devote themselves to an intensive study. The book is a must for personal and departmental librariesalike.Cajori has mastered the art of incorporating an enormous amount of specific detail into a smooth-flowing narrative. The Index--for example--contains not just the 300 to 400 names one would expect to find, but over 1,600. And, for example, one will not only find John Pell, but will learn who he was and some specifics of what he did (and that the Pell equation was named erroneously after him). In addition, one will come across Anna J. Pell and learn of her work on biorthogonal systems; one willfind not only H. Lebesgue but the not unimportant (even if not major) V.A. Lebesgue. Of the Bernoullis one will find not three or four but all eight. One will find R. Sturm as well as C. Sturm; M. Ricci as well as G. Ricci; V. Riccati as well as J.F. Riccati; Wolfgang Bolyai as well as J. Bolyai; themathematician Martin Ohm as well as the physicist G.S. Ohm; M. Riesz as well as F. Riesz; H.G. Grassmann as well as H. Grassmann; H.P. Babbage who continued the work of his father C. Babbage; R. Fuchs as well as the more famous L. Fuchs; A. Quetelet as well as L.A.J. Quetelet; P.M. Hahn and Hans Hahn; E. Blaschke and W. Blaschke; J. Picard as well as the more famous C.E. Picard; B. Pascal (of course) and also Ernesto Pascal and Etienne Pascal; and the historically important V.J. Bouniakovskiand W.A. Steklov, seldom mentioned at the time outside the Soviet literature.

Author : Umberto Bottazini,Amy Dahan Dalmedico
Publisher : Routledge
Page : 318 pages
File Size : 54,5 Mb
Release : 2013-06-17
Category : History
ISBN : 9781134698813

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Changing Images in Mathematics by Umberto Bottazini,Amy Dahan Dalmedico Pdf

This book focuses on some of the major developments in the history of contemporary (19th and 20th century) mathematics as seen in the broader context of the development of science and culture. Avoiding technicalities, it displays the breadth of contrasting images of mathematics favoured by different countries, schools and historical movements, showing how the conception and practice of mathematics changed over time depending on the cultural and national context. Thus it provides an original perspective for embracing the richness and variety inherent in the development of mathematics. Attention is paid to the interaction of mathematics with themes whose proper treatment have been neglected by the traditional historiography of the discipline, such as the relationship between mathematics, statistics and medicine.

Author : Bharath Sriraman
Publisher : Springer Nature
Page : 3221 pages
File Size : 44,5 Mb
Release : 2024-07-02
Category : Electronic
ISBN : 9783031408465

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Handbook of the History and Philosophy of Mathematical Practice by Bharath Sriraman Pdf

Author : Brian Evans
Publisher : John Wiley & Sons
Page : 197 pages
File Size : 52,9 Mb
Release : 2014-02-24
Category : Mathematics
ISBN : 9781118853979

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The Development of Mathematics Throughout the Centuries by Brian Evans Pdf

Throughout the book, readers take a journey throughout time and observe how people around the world have understood these patterns of quantity, structure, and dimension around them. The Development of Mathematics Throughout the Centuries: A Brief History in a Cultural Contex provides a brief overview of the history of mathematics in a very straightforward and understandable manner and also addresses major findings that influenced the development of mathematics as a coherent discipline. This book: Highlights the contributions made by various world cultures including African, Egyptian, Babylonian, Chinese, Indian, Islamic, and pre-Columbian American mathematics Features an approach that is not too rigorous and is ideal for a one-semester course of the history of mathematics. Includes a Resources and Recommended Reading section for further exploration and has been extensively classroom-tested

Author : Niccol- Guicciardini
Publisher : Cambridge University Press
Page : 393 pages
File Size : 40,8 Mb
Release : 2021-07-22
Category : History
ISBN : 9781108834964

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Anachronisms in the History of Mathematics by Niccol- Guicciardini Pdf

Discover essays by leading scholars on the history of mathematics from ancient to modern times in European and non-European cultures.

Author : Sasaki Chikara,Sugiura Mitsuo,Joseph W. Dauben
Publisher : Birkhäuser
Page : 272 pages
File Size : 52,7 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783034875219

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The Intersection of History and Mathematics by Sasaki Chikara,Sugiura Mitsuo,Joseph W. Dauben Pdf

Author : A.N. Kolmogorov,A.P. Yushkevich
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 45,6 Mb
Release : 1998-03-24
Category : Mathematics
ISBN : 3764358459

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Mathematics of the 19th Century by A.N. Kolmogorov,A.P. Yushkevich Pdf

The editors of the present series had originally intended to publish an integrated work on the history of mathematics in the nineteenth century, passing systemati cally from one discipline to another in some natural order. Circumstances beyond their control, mainly difficulties in choosing authors, led to the abandonment of this plan by the time the second volume appeared. Instead of a unified mono graph we now present to the reader a series of books intended to encompass all the mathematics of the nineteenth century, but not in the order of the accepted classification of the component disciplines. In contrast to the first two books of The Mathematics of the Nineteenth Century, which were divided into chapters, this third volume consists of four parts, more in keeping with the nature of the publication. 1 We recall that the first book contained essays on the history of mathemati 2 cal logic, algebra, number theory, and probability, while the second covered the history of geometry and analytic function theory. In the present third volume the reader will find: 1. An essay on the development of Chebyshev's theory of approximation of functions, later called "constructive function theory" by S. N. Bernshtein. This highly original essay is due to the late N. I. Akhiezer (1901-1980), the author of fundamental discoveries in this area. Akhiezer's text will no doubt attract attention not only from historians of mathematics, but also from many specialists in constructive function theory.

Author : H. H. Goldstine
Publisher : Springer Science & Business Media
Page : 361 pages
File Size : 53,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468494723

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A History of Numerical Analysis from the 16th through the 19th Century by H. H. Goldstine Pdf

In this book I have attempted to trace the development of numerical analysis during the period in which the foundations of the modern theory were being laid. To do this I have had to exercise a certain amount of selectivity in choosing and in rejecting both authors and papers. I have rather arbitrarily chosen, in the main, the most famous mathematicians of the period in question and have concentrated on their major works in numerical analysis at the expense, perhaps, of other lesser known but capable analysts. This selectivity results from the need to choose from a large body of literature, and from my feeling that almost by definition the great masters of mathematics were the ones responsible for the most significant accomplishments. In any event I must accept full responsibility for the choices. I would particularly like to acknowledge my thanks to Professor Otto Neugebauer for his help and inspiration in the preparation of this book. This consisted of many friendly discussions that I will always value. I should also like to express my deep appreciation to the International Business Machines Corporation of which I have the honor of being a Fellow and in particular to Dr. Ralph E. Gomory, its Vice-President for Research, for permitting me to undertake the writing of this book and for helping make it possible by his continuing encouragement and support.

Author : Britannica Educational Publishing
Publisher : Britannica Educational Publishing
Page : 311 pages
File Size : 49,7 Mb
Release : 2010-04-01
Category : Juvenile Nonfiction
ISBN : 9781615302215

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The Britannica Guide to The History of Mathematics by Britannica Educational Publishing Pdf

The field of mathematics today represents an ongoing global effort, spanning both countries and centuries. Through this in-depth narrative, students will learn how major mathematical concepts were first derived, as well as how they evolved with the advent of later thinkers shedding new light on various applications. Everything from Euclidean geometry to the philosophy of mathematics is illuminated as readers are transported to the ancient civilizations of Mesopotamia, Egypt, and beyond to discover the history of mathematical thought

Author : D. E. Smith,Jekuthiel Ginsburg
Publisher : American Mathematical Soc.
Page : 209 pages
File Size : 51,7 Mb
Release : 1934-12-31
Category : Mathematics
ISBN : 9781614440055

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A History of Mathematics in America Before 1900 by D. E. Smith,Jekuthiel Ginsburg Pdf

This classic history of American mathematics was first published in 1934. “America”, for the authors, is defined as the “territory north of the Caribbean Sea and the Rio Grande River.” This slim volume surveys the mathematics of the early colonial period including the knowledge available for the average colonist; the progress made corresponding to various influxes of population from Italy, France, Germany and Great Britain; the beginnings of mathematical work in colleges and universities and the rapid acceleration in the last quarter of the nineteenth century; the development and growth of a professional infrastructure of societies and publications; and biographical information of particularly significant characters. The book pays special attention to the needs of commerce, exploration, and everyday life that drove the development of mathematics in the centuries before a professionalization of mathematics appeared in the nineteenth century.

Author : Vincent F. Hendricks,Klaus F. Jørgensen,Jesper Lützen,Stig A. Pedersen
Publisher : Springer Science & Business Media
Page : 345 pages
File Size : 44,7 Mb
Release : 2007-01-17
Category : Philosophy
ISBN : 9781402051951

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Interactions by Vincent F. Hendricks,Klaus F. Jørgensen,Jesper Lützen,Stig A. Pedersen Pdf

The main theme of this anthology is the unique interaction between mathematics, physics and philosophy during the beginning of the 20th century. In this book, ten renowned philosopher-historians probe insightfully into key conceptual questions of pre-quantum mathematical physics. The result is a diverse yet thematically focused compilation of first class papers on mathematics, physics and philosophy, and a source-book on the interaction between them.

Author : Michael Friedman,Karin Krauthausen
Publisher : Birkhäuser
Page : 443 pages
File Size : 49,5 Mb
Release : 2022-07-05
Category : Mathematics
ISBN : 303097832X

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Model and Mathematics: From the 19th to the 21st Century by Michael Friedman,Karin Krauthausen Pdf

This open access book collects the historical and medial perspectives of a systematic and epistemological analysis of the complicated, multifaceted relationship between model and mathematics, ranging from, for example, the physical mathematical models of the 19th century to the simulation and digital modelling of the 21st century. The aim of this anthology is to showcase the status of the mathematical model between abstraction and realization, presentation and representation, what is modeled and what models. This book is open access under a CC BY 4.0 license.