Mathematische Annalen

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History And Philosophy Of Modern Mathematics

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Author : William Aspray
language : en
Publisher: U of Minnesota Press
Release Date : 1988

History And Philosophy Of Modern Mathematics written by William Aspray and has been published by U of Minnesota Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.

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.

The Collected Mathematical Papers

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Author : Arthur Cayley
language : en
Publisher:
Release Date : 1896

The Collected Mathematical Papers written by Arthur Cayley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1896 with categories.

Collected Works

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Author : Kurt Gödel
language : en
Publisher:
Release Date : 1986

Collected Works written by Kurt Gödel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Logic, Symbolic and mathematical categories.

Kurt Godel (1906-1978) was the most outstanding logician of the 20th century. This second volume of Godel's works collects the remainder of his published work, covering the period 1938-1974. Each article or closely related group of articles is preceded by an introductory note that elucidates it and places it in its historical context.

Theories Of Dimension From Ancient To Modern Times

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Author : Dale Martin Johnson
language : en
Publisher: Springer Nature
Release Date : 2025-12-02

Theories Of Dimension From Ancient To Modern Times written by Dale Martin Johnson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-12-02 with Mathematics categories.

This book provides a history and analysis of the ideas, problems, concepts, and theories of dimension from ancient to modern times. It focuses primarily on topological and, to a lesser extent, measure-theoretic approaches. It offers a detailed account of the contributions of key mathematicians who shaped dimension theory, including Bernard Bolzano, Bernhard Riemann, Georg Cantor, Richard Dedekind, Henri Poincaré, L.E.J. Brouwer, Paul Urysohn, Karl Menger, Witold Hurewicz, Paul Alexandroff, and Felix Hausdorff. The book examines the twists and turns in the development of the subject, including its controversies, and explores the philosophical aspects of its history. As the first in-depth historical study of dimension theory, it serves as a reference for historians and philosophers of mathematics. It also provides general historical background for students and researchers with broader mathematical interests.

The Collected Mathematical Papers Of Arthur Cayley

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Author : Arthur Cayley
language : en
Publisher:
Release Date : 1898

The Collected Mathematical Papers Of Arthur Cayley written by Arthur Cayley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1898 with Mathematics categories.

The Collected Mathematical Papers

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Author : Arthur Cayley (mathématicien)
language : en
Publisher:
Release Date : 1897

The Collected Mathematical Papers written by Arthur Cayley (mathématicien) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1897 with categories.

From Classical To Modern Algebraic Geometry

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Author : Gianfranco Casnati
language : en
Publisher: Birkhäuser
Release Date : 2017-04-20

From Classical To Modern Algebraic Geometry written by Gianfranco Casnati and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-20 with Mathematics categories.

This book commemorates the 150th birthday of Corrado Segre, one of the founders of the Italian School of Algebraic Geometry and a crucial figure in the history of Algebraic Geometry. It is the outcome of a conference held in Turin, Italy. One of the book's most unique features is the inclusion of a previously unpublished manuscript by Corrado Segre, together with a scientific commentary. Representing a prelude to Segre's seminal 1894 contribution on the theory of algebraic curves, this manuscript and other important archival sources included in the essays shed new light on the eminent role he played at the international level. Including both survey articles and original research papers, the book is divided into three parts: section one focuses on the implications of Segre's work in a historic light, while section two presents new results in his field, namely Algebraic Geometry. The third part features Segre's unpublished notebook: Sulla Geometria Sugli Enti Algebrici Semplicemente Infiniti (1890-1891). This volume will appeal to scholars in the History of Mathematics, as well as to researchers in the current subfields of Algebraic Geometry.

Georg Cantor

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Author : Joseph Warren Dauben
language : en
Publisher: Princeton University Press
Release Date : 2020-06-16

Georg Cantor written by Joseph Warren Dauben and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-16 with Science categories.

One of the greatest revolutions in mathematics occurred when Georg Cantor (1845-1918) promulgated his theory of transfinite sets. This revolution is the subject of Joseph Dauben's important studythe most thorough yet writtenof the philosopher and mathematician who was once called a "corrupter of youth" for an innovation that is now a vital component of elementary school curricula. Set theory has been widely adopted in mathematics and philosophy, but the controversy surrounding it at the turn of the century remains of great interest. Cantor's own faith in his theory was partly theological. His religious beliefs led him to expect paradoxes in any concept of the infinite, and he always retained his belief in the utter veracity of transfinite set theory. Later in his life, he was troubled by recurring attacks of severe depression. Dauben shows that these played an integral part in his understanding and defense of set theory.

Mathematische Annalen Volume 44

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Author : Albert Einstein
language : en
Publisher: Legare Street Press
Release Date : 2023-07-18

Mathematische Annalen Volume 44 written by Albert Einstein and has been published by Legare Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-18 with categories.

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.

Acta Mathematica

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Author :
language : en
Publisher:
Release Date : 1884

Acta Mathematica written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1884 with categories.