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Author : Ivor Grattan-Guiness
Publisher : Routledge
Page : 976 pages
File Size : 50,7 Mb
Release : 2004-11-11
Category : History
ISBN : 9781134888320
First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.
Author : I. Grattan-Guinness
Publisher : Unknown
Page : 1806 pages
File Size : 50,6 Mb
Release : 1992
Category : Mathematics
ISBN : 0415037859
Author : Ivor Grattan-Guiness
Publisher : Routledge
Page : 856 pages
File Size : 47,8 Mb
Release : 2004-11-11
Category : History
ISBN : 9781134887484
First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.
Author : Ivor Grattan-Guiness
Publisher : Unknown
Page : 128 pages
File Size : 55,9 Mb
Release : 2016
Category : PHILOSOPHY
ISBN : 1315541971
"First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company."--Provided by publisher.
Author : Ivor Grattan-Guiness
Publisher : Routledge
Page : 813 pages
File Size : 44,7 Mb
Release : 2004-11-11
Category : History
ISBN : 9781134888399
First published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.
Author : I. Grattan-Guinness
Publisher : JHU Press
Page : 872 pages
File Size : 44,8 Mb
Release : 2003
Category : Mathematics
ISBN : 0801873967
The first book of a two-volume encyclopaedia which makes the vast and varied history of mathematics available in a reasonably compact format. The book offers in-depth accounts of the principal areas of activity up to the 1930s and touches on related topics, including ethnomathematics.
Author : Ari Ben-Menahem
Publisher : Springer Science & Business Media
Page : 6070 pages
File Size : 43,7 Mb
Release : 2009-03-06
Category : Education
ISBN : 9783540688310
This 5,800-page encyclopedia surveys 100 generations of great thinkers, offering more than 2,000 detailed biographies of scientists, engineers, explorers and inventors who left their mark on the history of science and technology. This six-volume masterwork also includes 380 articles summarizing the time-line of ideas in the leading fields of science, technology, mathematics and philosophy.
Author : I. Grattan-Guinness
Publisher : Princeton University Press
Page : 624 pages
File Size : 49,7 Mb
Release : 2011-02-11
Category : Mathematics
ISBN : 1400824044
While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A. N. Whitehead in their Principia mathematica (1910-1913). ? This definitive history of a critical period in mathematics includes detailed accounts of the two principal influences upon Russell around 1900: the set theory of Cantor and the mathematical logic of Peano and his followers. Substantial surveys are provided of many related topics and figures of the late nineteenth century: the foundations of mathematical analysis under Weierstrass; the creation of algebraic logic by De Morgan, Boole, Peirce, Schröder, and Jevons; the contributions of Dedekind and Frege; the phenomenology of Husserl; and the proof theory of Hilbert. The many-sided story of the reception is recorded up to 1940, including the rise of logic in Poland and the impact on Vienna Circle philosophers Carnap and Gödel. A strong American theme runs though the story, beginning with the mathematician E. H. Moore and the philosopher Josiah Royce, and stretching through the emergence of Church and Quine, and the 1930s immigration of Carnap and GödeI. Grattan-Guinness draws on around fifty manuscript collections, including the Russell Archives, as well as many original reviews. The bibliography comprises around 1,900 items, bringing to light a wealth of primary materials. Written for mathematicians, logicians, historians, and philosophers--especially those interested in the historical interaction between these disciplines--this authoritative account tells an important story from its most neglected point of view. Whitehead and Russell hoped to show that (much of) mathematics was expressible within their logic; they failed in various ways, but no definitive alternative position emerged then or since.
Author : W.S. Anglin
Publisher : Springer Science & Business Media
Page : 253 pages
File Size : 40,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461208754
This is a concise introductory textbook for a one-semester (40-class) course in the history and philosophy of mathematics. It is written for mathemat ics majors, philosophy students, history of science students, and (future) secondary school mathematics teachers. The only prerequisite is a solid command of precalculus mathematics. On the one hand, this book is designed to help mathematics majors ac quire a philosophical and cultural understanding of their subject by means of doing actual mathematical problems from different eras. On the other hand, it is designed to help philosophy, history, and education students come to a deeper understanding of the mathematical side of culture by means of writing short essays. The way I myself teach the material, stu dents are given a choice between mathematical assignments, and more his torical or philosophical assignments. (Some sample assignments and tests are found in an appendix to this book. ) This book differs from standard textbooks in several ways. First, it is shorter, and thus more accessible to students who have trouble coping with vast amounts of reading. Second, there are many detailed explanations of the important mathematical procedures actually used by famous mathe maticians, giving more mathematically talented students a greater oppor tunity to learn the history and philosophy by way of problem solving.
Author : I. Grattan-Guinness
Publisher : Princeton University Press
Page : 318 pages
File Size : 47,6 Mb
Release : 2020-10-06
Category : Mathematics
ISBN : 9780691219660
From the Calculus to Set Theory traces the development of the calculus from the early seventeenth century through its expansion into mathematical analysis to the developments in set theory and the foundations of mathematics in the early twentieth century. It chronicles the work of mathematicians from Descartes and Newton to Russell and Hilbert and many, many others while emphasizing foundational questions and underlining the continuity of developments in higher mathematics. The other contributors to this volume are H. J. M. Bos, R. Bunn, J. W. Dauben, T. W. Hawkins, and K. Møller-Pedersen.
Author : Vincent F. Hendricks,Klaus F. Jørgensen,Jesper Lützen,Stig A. Pedersen
Publisher : Springer Science & Business Media
Page : 345 pages
File Size : 55,6 Mb
Release : 2007-01-17
Category : Philosophy
ISBN : 9781402051951
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 : Israel Kleiner
Publisher : Springer Science & Business Media
Page : 175 pages
File Size : 43,5 Mb
Release : 2007-10-02
Category : Mathematics
ISBN : 9780817646844
This book explores the history of abstract algebra. It shows how abstract algebra has arisen in attempting to solve some of these classical problems, providing a context from which the reader may gain a deeper appreciation of the mathematics involved.
Author : Toke Knudsen,Jessica Carter
Publisher : Walter de Gruyter GmbH & Co KG
Page : 272 pages
File Size : 44,9 Mb
Release : 2024-06-04
Category : History
ISBN : 9783110769968
The present collection of essays are published in honor of the distinguished historian of mathematics Professor Emeritus Jesper Lützen. In a career that spans more than four decades, Professor Lützen's scholarly contributions have enhanced our understanding of the history, development, and organization of mathematics. The essays cover a broad range of areas connected to Professor Lützen's work. In addition to this noteworthy scholarship, Professor Lützen has always been an exemplary colleague, providing support to peers as well as new faculty and graduate students. We dedicate this Festschrift to Professor Lützen—as a scholarly role model, mentor, colleague, and friend.
Author : Vagn Lundsgaard Hansen,Jeremy Gray
Publisher : EOLSS Publications
Page : 396 pages
File Size : 46,7 Mb
Release : 2010-12-20
Category : Electronic
ISBN : 9781848262218
History of Mathematics is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on History of Mathematics discusses: Mathematics in Egypt and Mesopotamia; History of Trigonometryto 1550; Mathematics in Japan; The Mathematization of The Physical Sciences-Differential Equations of Nature; A Short History of Dynamical Systems Theory:1885-2007; Measure Theories and Ergodicity Problems; The Number Concept and Number Systems; Operations Research and Mathematical Programming: From War to Academia - A Joint Venture; Elementary Mathematics From An Advanced Standpoint; The History and Concept of Mathematical Proof; Geometry in The 20th Century; Bourbaki: An Epiphenomenon in The History of Mathematics This volume is aimed at the following five major target audiences: University and College Students Educators, Professional Practitioners, Research Personnel and Policy Analysts, Managers, and Decision Makers, NGOs and GOs.
Author : George Gheverghese Joseph
Publisher : Princeton University Press
Page : 593 pages
File Size : 49,8 Mb
Release : 2011
Category : Mathematics
ISBN : 9780691135267
The contents of this book cover the history of mathematics, the beginnings of written mathematics, Egyptian and Mesopotamian mathematics, special topics in Chinese mathematics, and much more.