Writing the History of Mathematics: Its Historical Development

Author: Joseph W. Dauben,Christoph J. Scriba

Publisher: Springer Science & Business Media

ISBN: 9783764361679

Category: Mathematics

Page: 689

View: 7634

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.

Historiography of Mathematics in the 19th and 20th Centuries

Author: Volker R. Remmert,Martina R. Schneider,Henrik Kragh Sørensen

Publisher: Birkhäuser

ISBN: 3319396498

Category: Mathematics

Page: 276

View: 4374

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.

Eine Disziplin und ihre Verleger

Disziplinenkultur und Publikationswesen der Mathematik in Deutschland, 1871-1949

Author: Volker R. Remmert,Ute Schneider

Publisher: transcript Verlag

ISBN: 3839415179

Category: Science

Page: 344

View: 8910

Am Beispiel der Mathematik werden in diesem Buch die Wechselwirkungen zwischen wissenschaftlichem Verlagswesen und der Entwicklung einer wissenschaftlichen Disziplin in Deutschland zwischen 1871 und 1949 analysiert. Die Studie untersucht die Funktion unterschiedlicher Publikationsformen für die Scientific Community, die Profilierungsstrategien der Verlage angesichts steigender Konkurrenz in ihrem Marktsegment sowie wissenschafts- und branchenexterne Rahmenbedingungen des mathematischen Publizierens.

Mathematics across the Iron Curtain

A History of the Algebraic Theory of Semigroups

Author: Christopher Hollings

Publisher: American Mathematical Society

ISBN: 1470414937

Category: Mathematics

Page: 441

View: 8815

The theory of semigroups is a relatively young branch of mathematics, with most of the major results having appeared after the Second World War. This book describes the evolution of (algebraic) semigroup theory from its earliest origins to the establishment of a full-fledged theory. Semigroup theory might be termed `Cold War mathematics' because of the time during which it developed. There were thriving schools on both sides of the Iron Curtain, although the two sides were not always able to communicate with each other, or even gain access to the other's publications. A major theme of this book is the comparison of the approaches to the subject of mathematicians in East and West, and the study of the extent to which contact between the two sides was possible.

Plato's Ghost

The Modernist Transformation of Mathematics

Author: Jeremy Gray

Publisher: Princeton University Press

ISBN: 9781400829040

Category: Mathematics

Page: 528

View: 7593

Plato's Ghost is the first book to examine the development of mathematics from 1880 to 1920 as a modernist transformation similar to those in art, literature, and music. Jeremy Gray traces the growth of mathematical modernism from its roots in problem solving and theory to its interactions with physics, philosophy, theology, psychology, and ideas about real and artificial languages. He shows how mathematics was popularized, and explains how mathematical modernism not only gave expression to the work of mathematicians and the professional image they sought to create for themselves, but how modernism also introduced deeper and ultimately unanswerable questions. Plato's Ghost evokes Yeats's lament that any claim to worldly perfection inevitably is proven wrong by the philosopher's ghost; Gray demonstrates how modernist mathematicians believed they had advanced further than anyone before them, only to make more profound mistakes. He tells for the first time the story of these ambitious and brilliant mathematicians, including Richard Dedekind, Henri Lebesgue, Henri Poincaré, and many others. He describes the lively debates surrounding novel objects, definitions, and proofs in mathematics arising from the use of naïve set theory and the revived axiomatic method--debates that spilled over into contemporary arguments in philosophy and the sciences and drove an upsurge of popular writing on mathematics. And he looks at mathematics after World War I, including the foundational crisis and mathematical Platonism. Plato's Ghost is essential reading for mathematicians and historians, and will appeal to anyone interested in the development of modern mathematics.

International Mathematical News

Author: N.A

Publisher: N.A


Category: Mathematics

Page: N.A

View: 9129

Issues for Dec. 1952- include section: Nachrichten der Österreichischen Mathematischen Gesellschaft.

The Structure and Dynamics of Networks:

Author: Mark Newman,Albert-László Barabási,Duncan J. Watts

Publisher: Princeton University Press

ISBN: 0691113572

Category: Mathematics

Page: 582

View: 3548

From the Internet to networks of friendship, disease transmission, and even terrorism, the concept--and the reality--of networks has come to pervade modern society. But what exactly is a network? What different types of networks are there? Why are they interesting, and what can they tell us? In recent years, scientists from a range of fields--including mathematics, physics, computer science, sociology, and biology--have been pursuing these questions and building a new "science of networks." This book brings together for the first time a set of seminal articles representing research from across these disciplines. It is an ideal sourcebook for the key research in this fast-growing field. The book is organized into four sections, each preceded by an editors' introduction summarizing its contents and general theme. The first section sets the stage by discussing some of the historical antecedents of contemporary research in the area. From there the book moves to the empirical side of the science of networks before turning to the foundational modeling ideas that have been the focus of much subsequent activity. The book closes by taking the reader to the cutting edge of network science--the relationship between network structure and system dynamics. From network robustness to the spread of disease, this section offers a potpourri of topics on this rapidly expanding frontier of the new science.

Network Analysis and Tourism

From Theory to Practice

Author: Noel Scott,Rodolfo Baggio,Prof. Chris Cooper

Publisher: Channel View Publications

ISBN: 1845413105

Category: Business & Economics

Page: 220

View: 8084

This book aims to provide a comprehensive review of the contribution of network analysis to the understanding of tourism destinations and organizations. Theoretical and methodological aspects are discussed along with a series of applications. While this is a relatively new approach in the tourism literature, in other social and natural sciences network analysis has a long tradition and has provided important insights for the knowledge of the structure and the dynamics of many complex systems. The study of network structures, both from a quantitative and qualitative point of view, can deliver a number of useful outcomes also for the analysis of tourism destinations and organizations.

And Yet It Is Heard

Musical, Multilingual and Multicultural History of the Mathematical Sciences -

Author: Tito M. Tonietti

Publisher: Springer

ISBN: 3034806728

Category: Mathematics

Page: 407

View: 4718

We bring into full light some excerpts on musical subjects which were until now scattered throughout the most famous scientific texts. The main scientific and musical cultures outside of Europe are also taken into consideration. The first and most important property to underline in the scientific texts examined here is the language they are written in. This means that our multicultural history of the sciences necessarily also becomes a review of the various dominant languages used in the different historical contexts. In this volume, the history of the development of the sciences is told as it happened in real contexts, not in an alienated ideal world.

"Morgen möchte ich wieder 100 herrliche Sachen ausrechnen"

Iris Runge bei Osram und Telefunken

Author: Renate Tobies

Publisher: Franz Steiner Verlag Wiesbaden gmbh


Category: Biography & Autobiography

Page: 396

View: 4189

English summary: Iris Runge (1888-1966) compared computing in an industrial laboratory with a joyous feeling of childhood: "It's like when you woke up early on Christmas Day with the prospect of being able to play all day with your new things." This book demonstrates how this outstanding technology and business mathematician led to the development of German companies such as Osram and Telefunken, and shows the links between mathematics, experimental research, technology, education, and politics from the empire to the end of World War II. The researcher and later professor of theoretical physics, originally stemming from Huguenot tradition, christened her boat after the Chinese goddess Kuan Yin, who had compassion for the poor and in combination with a dragon also symbolized wisdom, strength and thereby her two worlds: Applied mathematics and advocacy for a just world. German text. German description: Iris Runge (1888-1966) verglich das Rechnen im Industrielabor mit einem beglueckenden Kindheitsgefuehl: aEs ist, wie wenn man frueher Weihnachten aufwachte mit der Aussicht, nun den ganzen Tag mit seinen Sachen zu spielen. Die Beschaftigung mit dieser fruehen, herausragenden Techno- und Wirtschaftsmathematikerin fuehrt in die Entwicklung deutscher Unternehmen wie Osram und Telefunken ein und zeigt die Verflechtungen von Mathematik, Experimentalforschung, Technik, Bildung und Politik vom Kaiserreich bis zum Ende des Zweiten Weltkriegs. Die aus hugenottischer Tradition stammende Forscherin, spatere Professorin fuer theoretische Physik, taufte ihr Boot auf den Namen der chinesischen Gottin Kuan Yin, die Mitgefuehl fuer die Armen und in Kombination mit einem Drachen auch Klugheit, Starke und damit ihre zwei Welten symbolisiert: Angewandte Mathematik und Eintreten fuer eine gerechte Welt.

Social Networks in the History of Innovation and Invention

Author: Francis C. Moon

Publisher: Springer Science & Business Media

ISBN: 9400775288

Category: Technology & Engineering

Page: 196

View: 9434

This book integrates history of science and technology with modern social network theory. Using examples from the history of machines, as well as case studies from wireless, radio and chaos theory, the author challenges the genius model of invention. Network analysis concepts are presented to demonstrate the societal nature of invention in areas such as steam power, internal combustion engines, early aviation, air conditioning and more. Using modern measures of network theory, the author demonstrates that the social networks of invention from the 19th and early 20th centuries have similar characteristics to modern 21st C networks such as the World Wide Web. The book provides evidence that exponential growth in technical innovation is linked to the growth of historical innovation networks.

Teaching and Learning History in Elementary Schools

Author: Jere E. Brophy,Bruce VanSledright

Publisher: Teachers College Press

ISBN: 9780807736074

Category: Education

Page: 290

View: 7897

In clear, concise language, this book deals with fundamental issues that must be addressed if teachers are to construct coherent and powerful history curricula, including: What are the purposes and goals that different types of teachers establish for their history teaching?, and What do children know and think about history, and what are the teaching implications for our schools? This book represents a major advance in developing a knowledge base about children’s historical learning and thinking that applies to history teaching some of the principles involved in teaching for understanding and conceptual change teaching, methods that have been so successful in other school subjects.

Labyrinth of Thought

A History of Set Theory and Its Role in Modern Mathematics

Author: Jose Ferreiros

Publisher: Birkhäuser

ISBN: 3034850492

Category: Mathematics

Page: 440

View: 7117

"José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century. This takes up Part One of the book. Part Two analyzes the crucial developments in the last quarter of the nineteenth century, above all the work of Cantor, but also Dedekind and the interaction between the two. Lastly, Part Three details the development of set theory up to 1950, taking account of foundational questions and the emergence of the modern axiomatization." (Bulletin of Symbolic Logic)