Mathematics In Society And History

Mathematics In Society And History Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Mathematics In Society And History book. This book definitely worth reading, it is an incredibly well-written.

Mathematics in Society and History

Author : S. Restivo
Publisher : Springer Science & Business Media
Page : 215 pages
File Size : 41,8 Mb
Release : 2013-12-01
Category : Science
ISBN : 9789401129442

Get Book

Mathematics in Society and History by S. Restivo Pdf

This is the first book by a sociologist devoted exclusively to a general sociology of mathematics. The author provides examples of different ways of thinking about mathematics sociologically. The survey of mathematical traditions covers ancient China, the Arabic-Islamic world, India, and Europe. Following the leads of classical social theorists such as Emile Durkheim, Restivo develops the idea that mathematical concepts and ideas are collective representations, and that it is mathematical communities that create mathematics, not individual mathematicians. The implications of the sociology of mathematics, and especially of pure mathematics, for a sociology of mind are also explored. In general, the author's objective is to explore, conjecture, suggest, and stimulate in order to introduce the sociological perspective on mathematics, and to broaden and deepen the still narrow, shallow path that today carries the sociology of mathematics. This book will interest specialists in the philosophy, history, and sociology of mathematics, persons interested in mathematics education, students of science and society, and people interested in current developments in the social and cultural analysis of science and mathematics.

Mathematics in Historical Context

Author : Jeff Suzuki
Publisher : MAA
Page : 432 pages
File Size : 55,5 Mb
Release : 2009-08-27
Category : Mathematics
ISBN : 0883855704

Get Book

Mathematics in Historical Context by Jeff Suzuki Pdf

An exploration of the interaction between mathematics, mathematicians and society. What would Newton see if he looked out his window?

A History of Mathematics in the United States and Canada

Author : David E. Zitarelli
Publisher : American Mathematical Society
Page : 500 pages
File Size : 48,7 Mb
Release : 2022-10-25
Category : Mathematics
ISBN : 9781470472573

Get Book

A History of Mathematics in the United States and Canada by David E. Zitarelli Pdf

This is the first truly comprehensive and thorough history of the development of mathematics and a mathematical community in the United States and Canada. This first volume of the multi-volume work takes the reader from the European encounters with North America in the fifteenth century up to the emergence of a research community the United States in the last quarter of the nineteenth. In the story of the colonial period, particular emphasis is given to several prominent colonial figures—Jefferson, Franklin, and Rittenhouse—and four important early colleges—Harvard, Québec, William & Mary, and Yale. During the first three-quarters of the nineteenth century, mathematics in North America was largely the occupation of scattered individual pioneers: Bowditch, Farrar, Adrain, B. Peirce. This period is given a fuller treatment here than previously in the literature, including the creation of the first PhD programs and attempts to form organizations and found journals. With the founding of Johns Hopkins in 1876 the American mathematical research community was finally, and firmly, founded. The programs at Hopkins, Chicago, and Clark are detailed as are the influence of major European mathematicians including especially Klein, Hilbert, and Sylvester. Klein's visit to the US and his Evanston Colloquium are extensively detailed. The founding of the American Mathematical Society is thoroughly discussed. David Zitarelli was emeritus Professor of Mathematics at Temple University. A decorated and acclaimed teacher, scholar, and expositor, he was one of the world's leading experts on the development of American mathematics. Author or co-author of over a dozen books, this was his magnum opus—sure to become the leading reference on the topic and essential reading, not just for historians. In clear and compelling prose Zitarelli spins a tale accessible to experts, generalists, and anyone interested in the history of science in North America.

Social History of Nineteenth Century Mathematics

Author : Mehrtens,Hendrik (Short form: Henk) Hendriks,Ivo Schneider
Publisher : Springer Science & Business Media
Page : 307 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468494914

Get Book

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.

Mathematics and Its History

Author : John Stillwell
Publisher : Springer Nature
Page : 400 pages
File Size : 41,8 Mb
Release : 2020-11-07
Category : Mathematics
ISBN : 9783030551933

Get Book

Mathematics and Its History by John Stillwell Pdf

This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history. Readers will discover the rich tapestry of ideas behind familiar topics from the undergraduate curriculum, such as calculus, algebra, topology, and more. Featuring historical episodes ranging from the Ancient Greeks to Fermat and Descartes, this volume offers a glimpse into the broader context in which these ideas developed, revealing unexpected connections that make this ideal for a senior capstone course. The presentation of previous versions has been refined by omitting the less mainstream topics and inserting new connecting material, allowing instructors to cover the book in a one-semester course. This condensed edition prioritizes succinctness and cohesiveness, and there is a greater emphasis on visual clarity, featuring full color images and high quality 3D models. As in previous editions, a wide array of mathematical topics are covered, from geometry to computation; however, biographical sketches have been omitted. Mathematics and Its History: A Concise Edition is an essential resource for courses or reading programs on the history of mathematics. Knowledge of basic calculus, algebra, geometry, topology, and set theory is assumed. From reviews of previous editions: “Mathematics and Its History is a joy to read. The writing is clear, concise and inviting. The style is very different from a traditional text. I found myself picking it up to read at the expense of my usual late evening thriller or detective novel.... The author has done a wonderful job of tying together the dominant themes of undergraduate mathematics.” Richard J. Wilders, MAA, on the Third Edition "The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century.... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community." European Mathematical Society, on the Second Edition

Research in History and Philosophy of Mathematics

Author : Maria Zack,Elaine Landry
Publisher : Birkhäuser
Page : 248 pages
File Size : 54,5 Mb
Release : 2016-12-15
Category : Mathematics
ISBN : 9783319466156

Get Book

Research in History and Philosophy of Mathematics by Maria Zack,Elaine Landry Pdf

This volume contains seventeen papers that were presented at the 2015 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, held in Washington, D.C. In addition to showcasing rigorously reviewed modern scholarship on an interesting variety of general topics in the history and philosophy of mathematics, this meeting also honored the memories of Jacqueline (Jackie) Stedall and Ivor Grattan-Guinness; celebrated the Centennial of the Mathematical Association of America; and considered the importance of mathematical communities in a special session. These themes and many others are explored in these collected papers, which cover subjects such as New evidence that the Latin translation of Euclid’s Elements was based on the Arabic version attributed to al-Ḥajjāj Work done on the arc rampant in the seventeenth century The history of numerical methods for finding roots of nonlinear equations An original play featuring a dialogue between George Boole and Augustus De Morgan that explores the relationship between them Key issues in the digital preservation of mathematical material for future generations A look at the first twenty-five years of The American Mathematical Monthly in the context of the evolving American mathematical community The growth of Math Circles and the unique ways they are being implemented in the United States Written by leading scholars in the field, these papers will be accessible to not only mathematicians and students of the history and philosophy of mathematics, but also anyone with a general interest in mathematics.

A History of Analysis

Author : Hans Niels Jahnke
Publisher : American Mathematical Soc.
Page : 436 pages
File Size : 40,6 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 0821890506

Get Book

A History of Analysis by Hans Niels Jahnke Pdf

Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few, contributed to its genesis. Since the end of the seventeenth century, the historical progress of mathematical analysis has displayed unique vitality and momentum. No other mathematical field has so profoundly influenced the development of modern scientific thinking. Describing this multidimensional historical development requires an in-depth discussion which includes a reconstruction of general trends and an examination of the specific problems. This volume is designed as a collective work of authors who are proven experts in the history of mathematics. It clarifies the conceptual change that analysis underwent during its development while elucidating the influence of specific applications and describing the relevance of biographical and philosophical backgrounds. The first ten chapters of the book outline chronological development and the last three chapters survey the history of differential equations, the calculus of variations, and functional analysis. Special features are a separate chapter on the development of the theory of complex functions in the nineteenth century and two chapters on the influence of physics on analysis. One is about the origins of analytical mechanics, and one treats the development of boundary-value problems of mathematical physics (especially potential theory) in the nineteenth century. The book presents an accurate and very readable account of the history of analysis. Each chapter provides a comprehensive bibliography. Mathematical examples have been carefully chosen so that readers with a modest background in mathematics can follow them. It is suitable for mathematical historians and a general mathematical audience.

Math in Society

Author : David Lippman
Publisher : Unknown
Page : 0 pages
File Size : 51,7 Mb
Release : 2012-09-07
Category : Electronic books
ISBN : 1479276537

Get Book

Math in Society by David Lippman Pdf

Math in Society is a survey of contemporary mathematical topics, appropriate for a college-level topics course for liberal arts major, or as a general quantitative reasoning course.This book is an open textbook; it can be read free online at http://www.opentextbookstore.com/mathinsociety/. Editable versions of the chapters are available as well.

Femininity, Mathematics and Science, 1880–1914

Author : C. Jones
Publisher : Springer
Page : 264 pages
File Size : 47,6 Mb
Release : 2009-10-15
Category : Mathematics
ISBN : 9780230246652

Get Book

Femininity, Mathematics and Science, 1880–1914 by C. Jones Pdf

Through the prism of gender, this text explores the contrasting cultures and practice of mathematics and science and asks how they impacted on women. Claire Jones assesses nineteenth-century ideas about women's intellect, femininity and masculinity, and assesses how these attitudes shaped women's experiences as students and practitioners.

Geometry in History

Author : S. G. Dani,Athanase Papadopoulos
Publisher : Springer Nature
Page : 759 pages
File Size : 50,5 Mb
Release : 2019-10-18
Category : Mathematics
ISBN : 9783030136093

Get Book

Geometry in History by S. G. Dani,Athanase Papadopoulos Pdf

This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are mathematicians who are leading experts in their fields. The book is addressed to all mathematicians, from undergraduate students to senior researchers, regardless of the specialty.

The History of Mathematics: A Very Short Introduction

Author : Jacqueline Stedall
Publisher : Oxford University Press
Page : 145 pages
File Size : 44,7 Mb
Release : 2012-02-23
Category : Mathematics
ISBN : 9780199599684

Get Book

The History of Mathematics: A Very Short Introduction by Jacqueline Stedall Pdf

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.

A Century of Mathematics in America

Author : Peter L. Duren,Richard Askey,Uta C. Merzbach,Harold M. Edwards
Publisher : Springer Science & Business
Page : 692 pages
File Size : 48,9 Mb
Release : 1988
Category : Mathematics
ISBN : 0821801368

Get Book

A Century of Mathematics in America by Peter L. Duren,Richard Askey,Uta C. Merzbach,Harold M. Edwards Pdf

Part of the A Century of Mathematics in America collection, this book contains articles that describe the mathematics and the mathematical personalities in some of the nations' prominent departments: Johns Hopkins, Clark, Columbia, MIT, Michigan, Texas, and the Institute for Advanced Study.

Lectures in the History of Mathematics

Author : Henk J. M. Bos
Publisher : American Mathematical Soc.
Page : 209 pages
File Size : 42,6 Mb
Release : 1993
Category : Mathematics
ISBN : 9780821809204

Get Book

Lectures in the History of Mathematics by Henk J. M. Bos Pdf

Annotation This volume contains eleven lectures ranging over a variety of topics in the history of mathematics. The lectures, presented between 1970 and 1987, were delivered in a variety of venues and appeared only in less accessible publications. Those who teach mathematics, as well as mathematics historians, will appreciate this insightful, wide-ranging book.

The History of Mathematics

Author : Roger L. Cooke
Publisher : John Wiley & Sons
Page : 630 pages
File Size : 54,5 Mb
Release : 2011-02-14
Category : Mathematics
ISBN : 9781118030240

Get Book

The History of Mathematics by Roger L. Cooke Pdf

This new edition brings the fascinating and intriguing history of mathematics to life The Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics. Written by one of the world's leading experts on the history of mathematics, the book details the key historical developments in the field, providing an understanding and appreciation of how mathematics influences today's science, art, music, literature, and society. In the first edition, each chapter was devoted to a single culture. This Second Edition is organized by subject matter: a general survey of mathematics in many cultures, arithmetic, geometry, algebra, analysis, and mathematical inference. This new organization enables students to focus on one complete topic and, at the same time, compare how different cultures approached each topic. Many new photographs and diagrams have been added to this edition to enhance the presentation. The text is divided into seven parts: The World of Mathematics and the Mathematics of the World, including the origin and prehistory of mathematics, cultural surveys, and women mathematicians Numbers, including counting, calculation, ancient number theory, and numbers and number theory in modern mathematics Color Plates, illustrating the impact of mathematics on civilizations from Egypt to Japan to Mexico to modern Europe Space, including measurement, Euclidean geometry, post-Euclidean geometry, and modern geometrics Algebra, including problems leading to algebra, equations and methods, and modern algebra Analysis, including the calculus, real, and complex analysis Mathematical Inference, including probability and statistics, and logic and set theory As readers progress through the text, they learn about the evolution of each topic, how different cultures devised their own solutions, and how these solutions enabled the cultures to develop and progress. In addition, readers will meet some of the greatest mathematicians of the ages, who helped lay the groundwork for today's science and technology. The book's lively approach makes it appropriate for anyone interested in learning how the field of mathematics came to be what it is today. It can also serve as a textbook for undergraduate or graduate-level courses. An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.

Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition

Author : William P. Berlinghoff,Fernando Q. Gouvêa
Publisher : American Mathematical Soc.
Page : 331 pages
File Size : 47,6 Mb
Release : 2021-04-29
Category : Education
ISBN : 9781470464561

Get Book

Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition by William P. Berlinghoff,Fernando Q. Gouvêa Pdf

Where did math come from? Who thought up all those algebra symbols, and why? What is the story behind π π? … negative numbers? … the metric system? … quadratic equations? … sine and cosine? … logs? The 30 independent historical sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that is accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch includes Questions and Projects to help you learn more about its topic and to see how the main ideas fit into the bigger picture of history. The 30 short stories are preceded by a 58-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. “What to Read Next” and reading suggestions after each sketch provide starting points for readers who want to learn more. This book is ideal for a broad spectrum of audiences, including students in history of mathematics courses at the late high school or early college level, pre-service and in-service teachers, and anyone who just wants to know a little more about the origins of mathematics.