David Hilbert S Lectures On The Foundations Of Geometry 1891 1902

Author : Michael Hallett,Ulrich Majer
Publisher : Springer Science & Business Media
Page : 708 pages
File Size : 49,6 Mb
Release : 2004-05-17
Category : Mathematics
ISBN : 3540643737

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David Hilbert’s Lectures on the Foundations of Geometry 1891–1902 by Michael Hallett,Ulrich Majer Pdf

This volume contains six sets of notes for lectures on the foundations of geometry held by Hilbert in the period 1891-1902. It also reprints the first edition of Hilbert’s celebrated Grundlagen der Geometrie of 1899, together with the important additions which appeared first in the French translation of 1900. The lectures document the emergence of a new approach to foundational study and contain many reflections and investigations which never found their way into print.

Author : Michael Hallett,Ulrich Majer
Publisher : Unknown
Page : 700 pages
File Size : 46,5 Mb
Release : 2004-01-01
Category : Electronic
ISBN : 3540207643

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David Hilbert's Lectures on the Foundations of Geometry 1891-1902 by Michael Hallett,Ulrich Majer Pdf

Author : David Hilbert
Publisher : Read Books Ltd
Page : 98 pages
File Size : 55,8 Mb
Release : 2014-07-07
Category : Mathematics
ISBN : 9781473395947

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The Foundations of Geometry by David Hilbert Pdf

This early work by David Hilbert was originally published in the early 20th century and we are now republishing it with a brand new introductory biography. David Hilbert was born on the 23rd January 1862, in a Province of Prussia. Hilbert is recognised as one of the most influential and universal mathematicians of the 19th and early 20th centuries. He discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.

Author : Philip A. Ebert,Marcus Rossberg
Publisher : Unknown
Page : 686 pages
File Size : 50,7 Mb
Release : 2019-09-05
Category : Electronic
ISBN : 9780198712084

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Essays on Frege's Basic Laws of Arithmetic by Philip A. Ebert,Marcus Rossberg Pdf

This volume is the first collective study of a foundational text in modern philosophy and logic, Gottlob Frege's Basic Laws of Arithmetic which appeared in two volumes in 1893 and 1903. Twenty-two Frege scholars discuss a wide range of philosophical and logical topics arising from Basic Lawsof Arithmetic, and demonstrate the technical and philosophical richness of the work. Their original contributions make vivid the importance of this magnum opus not just for Frege scholars but for the study of the history of logic, mathematics, and philosophy.

Author : Sahotra Sarkar,Jessica Pfeifer
Publisher : Psychology Press
Page : 1012 pages
File Size : 52,5 Mb
Release : 2006
Category : Philosophy
ISBN : 9780415939270

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The Philosophy of Science by Sahotra Sarkar,Jessica Pfeifer Pdf

The first in-depth reference to the field that combines scientific knowledge with philosophical inquiry, this encyclopedia brings together a team of leading scholars to provide nearly 150 entries on the essential concepts in the philosophy of science. The areas covered include biology, chemistry, epistemology and metaphysics, physics, psychology and mind, the social sciences, and key figures in the combined studies of science and philosophy. (Midwest).

Author : Judit Madarász,Gergely Székely
Publisher : Springer Nature
Page : 517 pages
File Size : 45,9 Mb
Release : 2021-05-31
Category : Philosophy
ISBN : 9783030641870

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Hajnal Andréka and István Németi on Unity of Science by Judit Madarász,Gergely Székely Pdf

This book features more than 20 papers that celebrate the work of Hajnal Andréka and István Németi. It illustrates an interaction between developing and applying mathematical logic. The papers offer new results as well as surveys in areas influenced by these two outstanding researchers. They also provide details on the after-life of some of their initiatives. Computer science connects the papers in the first part of the book. The second part concentrates on algebraic logic. It features a range of papers that hint at the intricate many-way connections between logic, algebra, and geometry. The third part explores novel applications of logic in relativity theory, philosophy of logic, philosophy of physics and spacetime, and methodology of science. They include such exciting subjects as time travelling in emergent spacetime. The short autobiographies of Hajnal Andréka and István Németi at the end of the book describe an adventurous journey from electric engineering and Maxwell’s equations to a complex system of computer programs for designing Hungary’s electric power system, to exploring and contributing deep results to Tarskian algebraic logic as the deepest core theory of such questions, then on to applications of the results in such exciting new areas as relativity theory in order to rejuvenate logic itself.

Author : Elizabeth de Freitas,Nathalie Sinclair,Alf Coles
Publisher : Cambridge University Press
Page : 301 pages
File Size : 47,9 Mb
Release : 2017-06-22
Category : Education
ISBN : 9781107134638

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What is a Mathematical Concept? by Elizabeth de Freitas,Nathalie Sinclair,Alf Coles Pdf

Leading thinkers in mathematics, philosophy and education offer new insights into the fundamental question: what is a mathematical concept?

Author : Andrew McFarland,Joanna McFarland,James T. Smith
Publisher : Springer
Page : 499 pages
File Size : 55,8 Mb
Release : 2014-08-11
Category : Mathematics
ISBN : 9781493914746

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Alfred Tarski by Andrew McFarland,Joanna McFarland,James T. Smith Pdf

Alfred Tarski (1901–1983) was a renowned Polish/American mathematician, a giant of the twentieth century, who helped establish the foundations of geometry, set theory, model theory, algebraic logic and universal algebra. Throughout his career, he taught mathematics and logic at universities and sometimes in secondary schools. Many of his writings before 1939 were in Polish and remained inaccessible to most mathematicians and historians until now. This self-contained book focuses on Tarski’s early contributions to geometry and mathematics education, including the famous Banach–Tarski paradoxical decomposition of a sphere as well as high-school mathematical topics and pedagogy. These themes are significant since Tarski’s later research on geometry and its foundations stemmed in part from his early employment as a high-school mathematics teacher and teacher-trainer. The book contains careful translations and much newly uncovered social background of these works written during Tarski’s years in Poland. Alfred Tarski: Early Work in Poland serves the mathematical, educational, philosophical and historical communities by publishing Tarski’s early writings in a broadly accessible form, providing background from archival work in Poland and updating Tarski’s bibliography. A list of errata can be found on the author Smith’s personal webpage.

Author : Roger Hart
Publisher : JHU Press
Page : 385 pages
File Size : 43,6 Mb
Release : 2013-08-15
Category : Mathematics
ISBN : 9781421407128

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Imagined Civilizations by Roger Hart Pdf

Roger Hart debunks the long-held belief that linear algebra developed independently in the West. Accounts of the seventeenth-century Jesuit Mission to China have often celebrated it as the great encounter of two civilizations. The Jesuits portrayed themselves as wise men from the West who used mathematics and science in service of their mission. Chinese literati-official Xu Guangqi (1562–1633), who collaborated with the Italian Jesuit Matteo Ricci (1552–1610) to translate Euclid’s Elements into Chinese, reportedly recognized the superiority of Western mathematics and science and converted to Christianity. Most narratives relegate Xu and the Chinese to subsidiary roles as the Jesuits' translators, followers, and converts. Imagined Civilizations tells the story from the Chinese point of view. Using Chinese primary sources, Roger Hart focuses in particular on Xu, who was in a position of considerable power over Ricci. The result is a perspective startlingly different from that found in previous studies. Hart analyzes Chinese mathematical treatises of the period, revealing that Xu and his collaborators could not have believed their declaration of the superiority of Western mathematics. Imagined Civilizations explains how Xu’s West served as a crucial resource. While the Jesuits claimed Xu as a convert, he presented the Jesuits as men from afar who had traveled from the West to China to serve the emperor.

Author : David Hilbert
Publisher : Literary Licensing, LLC
Page : 152 pages
File Size : 54,9 Mb
Release : 2014-03
Category : Electronic
ISBN : 1497835100

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The Foundations of Geometry by David Hilbert Pdf

This Is A New Release Of The Original 1902 Edition.

Author : Andrew Aberdein,Ian J Dove
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 49,8 Mb
Release : 2013-07-01
Category : Philosophy
ISBN : 9789400765344

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The Argument of Mathematics by Andrew Aberdein,Ian J Dove Pdf

Written by experts in the field, this volume presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. Argumentation theory studies reasoning and argument, and especially those aspects not addressed, or not addressed well, by formal deduction. The philosophy of mathematical practice diverges from mainstream philosophy of mathematics in the emphasis it places on what the majority of working mathematicians actually do, rather than on mathematical foundations. The book begins by first challenging the assumption that there is no role for informal logic in mathematics. Next, it details the usefulness of argumentation theory in the understanding of mathematical practice, offering an impressively diverse set of examples, covering the history of mathematics, mathematics education and, perhaps surprisingly, formal proof verification. From there, the book demonstrates that mathematics also offers a valuable testbed for argumentation theory. Coverage concludes by defending attention to mathematical argumentation as the basis for new perspectives on the philosophy of mathematics. ​

Author : Tom Ricketts,Michael Potter
Publisher : Cambridge University Press
Page : 661 pages
File Size : 49,7 Mb
Release : 2010-09-02
Category : Mathematics
ISBN : 9780521624282

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The Cambridge Companion to Frege by Tom Ricketts,Michael Potter Pdf

Offers a comprehensive and accessible exploration of the scope and importance of Gottlob Frege's work.

Author : Arne Schirrmacher
Publisher : Springer
Page : 120 pages
File Size : 46,8 Mb
Release : 2019-08-01
Category : Science
ISBN : 9783030227272

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Establishing Quantum Physics in Göttingen by Arne Schirrmacher Pdf

Quantum mechanics – the grandiose theory that describes nature down to the submicroscopic level – was first formulated in Göttingen in 1925. How did this come about and why is it that Göttingen became the pre-eminent location for a revolution in physics? This book is the first to investigate the wide range of factors that were pivotal for quantum physics to be established in Göttingen. These include the process of generational change of physics professors, the hopes of mathematicians seeking new fields of research, and a new understanding of the interplay of experiment, theory and philosophy.

Author : Jean-Charles Pinoli
Publisher : John Wiley & Sons
Page : 464 pages
File Size : 45,5 Mb
Release : 2014-07-09
Category : Technology & Engineering
ISBN : 9781118649121

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Mathematical Foundations of Image Processing and Analysis by Jean-Charles Pinoli Pdf

Image processing and image analysis are typically important fieldsin information science and technology. By “imageprocessing”, we generally understand all kinds of operationperformed on images (or sequences of images) in order to increasetheir quality, restore their original content, emphasize someparticular aspect of the information or optimize theirtransmission, or to perform radiometric and/or spatial analysis. By“image analysis” we understand, however, all kinds ofoperation performed on images (or sequences of images) in order toextract qualitative or quantitative data, perform measurements andapply statistical analysis. Whereas there are nowadays many booksdealing with image processing, only a small number deal with imageanalysis. The methods and techniques involved in these fields ofcourse have a wide range of applications in our daily world:industrial vision, material imaging, medical imaging, biologicalimaging, multimedia applications, satellite imaging, qualitycontrol, traffic control, and so on

Author : Paolo Mancosu
Publisher : Oxford University Press
Page : 231 pages
File Size : 46,7 Mb
Release : 2016
Category : Mathematics
ISBN : 9780198746829

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Abstraction and Infinity by Paolo Mancosu Pdf

Mancosu offers an original investigation of key notions in mathematics: abstraction and infinity, and their interaction. He gives a historical analysis of the theorizing of definitions by abstraction, and explores a novel approach to measuring the size of infinite sets, showing how this leads to deep mathematical and philosophical problems.