History and Philosophy of Modern Mathematics

History and Philosophy of Modern Mathematics PDF Author: William Aspray
Publisher: U of Minnesota Press
ISBN: 0816615675
Category : Mathematics
Languages : en
Pages : 396

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Book Description
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 and Philosophy of Modern Mathematics

History and Philosophy of Modern Mathematics PDF Author: William Aspray
Publisher: U of Minnesota Press
ISBN: 0816615675
Category : Mathematics
Languages : en
Pages : 396

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Book Description
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.

A Concise History of Mathematics

A Concise History of Mathematics PDF Author: Dirk Jan Struik
Publisher: Courier Corporation
ISBN: 9780486602554
Category : Mathematics
Languages : en
Pages : 260

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Book Description
This compact, well-written history covers major mathematical ideas and techniques from the ancient Near East to 20th-century computer theory, surveying the works of Archimedes, Pascal, Gauss, Hilbert, and many others. "The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature.

Mathematische Annalen; Volume 44

Mathematische Annalen; Volume 44 PDF Author: Albert Einstein
Publisher: Legare Street Press
ISBN: 9781021110886
Category :
Languages : en
Pages : 0

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Book Description
Mathematische Annalen is a seminal mathematics journal that has published many groundbreaking papers and provided a venue for the most important mathematical discoveries of the past century. This anthology contains some of the most important papers published in the journal and includes contributions from luminaries such as David Hilbert, Albert Einstein, and Felix Klein. With its rigorous analysis and groundbreaking insights, this book is an essential resource for anyone interested in the history and development of the most important mathematical ideas of the 20th century. 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 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. 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.

Toward a History of Game Theory

Toward a History of Game Theory PDF Author: E. Roy Weintraub
Publisher: Duke University Press
ISBN: 9780822312536
Category : Business & Economics
Languages : en
Pages : 320

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Book Description
During the 1940s "game theory" emerged from the fields of mathematics and economics to provide a revolutionary new method of analysis. Today game theory provides a language for discussing conflict and cooperation not only for economists, but also for business analysts, sociologists, war planners, international relations theorists, and evolutionary biologists. Toward a History of Game Theory offers the first history of the development, reception, and dissemination of this crucial theory. Drawing on interviews with original members of the game theory community and on the Morgenstern diaries, the first section of the book examines early work in game theory. It focuses on the groundbreaking role of the von Neumann-Morgenstern collaborative work, The Theory of Games and Economic Behavior (1944). The second section recounts the reception of this new theory, revealing just how game theory made its way into the literatures of the time and thus became known among relevant communities of scholars. The contributors explore how game theory became a wedge in opening up the social sciences to mathematical tools and use the personal recollections of scholars who taught at Michigan and Princeton in the late 1940s to show why the theory captivated those practitioners now considered to be "giants" in the field. The final section traces the flow of the ideas of game theory into political science, operations research, and experimental economics. Contributors. Mary Ann Dimand, Robert W. Dimand, Robert J. Leonard, Philip Mirowski, Angela M. O'Rand, Howard Raiffa, Urs Rellstab, Robin E. Rider, William H. Riker, Andrew Schotter, Martin Shubik, Vernon L. Smith

The Collected Mathematical Papers of Arthur Cayley

The Collected Mathematical Papers of Arthur Cayley PDF Author: Arthur Cayley
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 640

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The Emergence of the American Mathematical Research Community, 1876-1900

The Emergence of the American Mathematical Research Community, 1876-1900 PDF Author: Karen Hunger Parshall
Publisher: American Mathematical Soc.
ISBN: 9780821809075
Category : Mathematics
Languages : en
Pages : 532

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Book Description
Cover -- Title page -- Contents -- Preface -- Acknowledgments -- Photograph and Figure Credits -- Chapter 1. An overview of American mathematics: 1776-1876 -- Chapter 2. A new departmental prototype: J.J. Sylvester and the Johns Hopkins University -- Chapter 3. Mathematics at Sylvester's Hopkins -- Chapter 4. German mathematics and the early mathematical career of Felix Klein -- Chapter 5. America's wanderlust generation -- Chapter 6. Changes on the horizon -- Chapter 7. The World's Columbian exposition of 1893 and the Chicago mathematical congress -- Chapter 8. Surveying mathematical landscapes: The Evanston colloquium lectures -- Chapter 9. Meeting the challenge: The University of Chicago and the American mathematical research community -- Chapter 10. Epilogue: Beyond the threshold: The American mathematical research community, 1900-1933 -- Bibliography -- Subject Index -- Back Cover

Selected Papers

Selected Papers PDF Author: Joseph L. Walsh
Publisher: Springer Science & Business Media
ISBN: 9780387987828
Category : Mathematics
Languages : en
Pages : 734

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Book Description
This volume is a selection from the 281 published papers of Joseph Leonard Walsh, former US Naval Officer and professor at University of Maryland and Harvard University. The nine broad sections are ordered following the evolution of his work. Commentaries and discussions of subsequent development are appended to most of the sections. Also included is one of Walsh's most influential works, "A closed set of normal orthogonal function," which introduced what is now known as "Walsh Functions".

Mathematische Annalen

Mathematische Annalen PDF Author: Alfred Clebsch
Publisher:
ISBN:
Category : Mathematics
Languages : de
Pages : 666

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Book Description


The Collected Mathematical Papers

The Collected Mathematical Papers PDF Author: Henry John Stephen Smith
Publisher: CUP Archive
ISBN:
Category :
Languages : en
Pages : 160

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Book Description


Mathematische Annalen, XXXV. Band

Mathematische Annalen, XXXV. Band PDF Author: Alfred Clebsch
Publisher: Nabu Press
ISBN: 9781294477518
Category :
Languages : en
Pages : 628

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Book Description
This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ++++ The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to ensure edition identification: ++++ Mathematische Annalen, Volume 35 Alfred Clebsch, Carl Neumann, Felix Klein, Adolph Mayer, David Hilbert, Otto Blumenthal, Albert Einstein, Erich Hecke, Constantin CarathEodory, Bartel Leendert Waerden, Heinrich Behnke J. Springer, 1890 Mathematics; General; Mathematics; Mathematics / General