Historiography Of Mathematics In The 19th And 20th Centuries PDF Download
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Author | : Volker R. Remmert |
Publisher | : Birkhäuser |
Total Pages | : 276 |
Release | : 2016-12-08 |
Genre | : Mathematics |
ISBN | : 3319396498 |
Download Historiography of Mathematics in the 19th and 20th Centuries Book in PDF, ePub and Kindle
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 | : Mehrtens |
Publisher | : Springer Science & Business Media |
Total Pages | : 307 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1468494910 |
Download Social History of Nineteenth Century Mathematics Book in PDF, ePub and Kindle
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 | : Joseph W. Dauben |
Publisher | : Springer Science & Business Media |
Total Pages | : 776 |
Release | : 2002-09-23 |
Genre | : Mathematics |
ISBN | : 9783764361679 |
Download Writing the History of Mathematics: Its Historical Development Book in PDF, ePub and Kindle
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 | : Jacqueline Stedall |
Publisher | : Oxford University Press |
Total Pages | : 145 |
Release | : 2012-02-23 |
Genre | : Mathematics |
ISBN | : 0199599688 |
Download The History of Mathematics: A Very Short Introduction Book in PDF, ePub and Kindle
In this Very Short Introduction, Jacqueline Stedall explores the rich historical and cultural diversity of mathematical endeavour from the distant past to the present day, using illustrative case studies drawn from a range of times and places; including early imperial China, the medieval Islamic world, and nineteenth-century Britain.
Author | : Michael Friedman |
Publisher | : Birkhäuser |
Total Pages | : 443 |
Release | : 2022-07-05 |
Genre | : Mathematics |
ISBN | : 9783030978327 |
Download Model and Mathematics: From the 19th to the 21st Century Book in PDF, ePub and Kindle
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.
Author | : Jean Dieudonné |
Publisher | : Springer Science & Business Media |
Total Pages | : 648 |
Release | : 2009-09-01 |
Genre | : Mathematics |
ISBN | : 0817649077 |
Download A History of Algebraic and Differential Topology, 1900 - 1960 Book in PDF, ePub and Kindle
This book is a well-informed and detailed analysis of the problems and development of algebraic topology, from Poincaré and Brouwer to Serre, Adams, and Thom. The author has examined each significant paper along this route and describes the steps and strategy of its proofs and its relation to other work. Previously, the history of the many technical developments of 20th-century mathematics had seemed to present insuperable obstacles to scholarship. This book demonstrates in the case of topology how these obstacles can be overcome, with enlightening results.... Within its chosen boundaries the coverage of this book is superb. Read it! —MathSciNet
Author | : D. E. Smith |
Publisher | : American Mathematical Soc. |
Total Pages | : 209 |
Release | : 1934-12-31 |
Genre | : Mathematics |
ISBN | : 1614440050 |
Download A History of Mathematics in America Before 1900 Book in PDF, ePub and Kindle
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 | : Bharath Sriraman |
Publisher | : Springer Nature |
Total Pages | : 3221 |
Release | : |
Genre | : |
ISBN | : 3031408462 |
Download Handbook of the History and Philosophy of Mathematical Practice Book in PDF, ePub and Kindle
Author | : Marlow Anderson |
Publisher | : MAA |
Total Pages | : 448 |
Release | : 2009-03-31 |
Genre | : Mathematics |
ISBN | : 9780883855690 |
Download Who Gave You the Epsilon? Book in PDF, ePub and Kindle
This book picks up the history of mathematics from where Sherlock Holmes in Babylon left it. The 40 articles of Who Gave You the Epsilon? continue the story of the development of mathematics into the nineteenth and twentieth centuries. The articles have all been published in the Mathematical Association of America journals and are in many cases written by distinguished mathematicians such as G. H. Hardy and B. van der Waerden. The articles are arranged thematically to show the development of analysis, geometry, algebra and number theory through this period of time. Each chapter is preceded by a foreword, giving the historical background and setting and the scene, and is followed by an afterword, reporting on advances in our historical knowledge and understanding since the articles first appeared. This book is ideal for anyone wanting to explore the history of mathematics.
Author | : Umberto Bottazini |
Publisher | : Routledge |
Total Pages | : 318 |
Release | : 2013-06-17 |
Genre | : History |
ISBN | : 113469881X |
Download Changing Images in Mathematics Book in PDF, ePub and Kindle
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.