5000 Years of Geometry

Author: Christoph J. Scriba
Publisher: Birkhäuser
ISBN: 3034808984
Format: PDF, Docs
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The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book “5000 Jahre Geometrie,” in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science and engineering. Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in Ancient Greece. Inspired by the Greek mathematics, a new germ of geometry blossomed in the Islamic civilizations. Through the Oriental influence on Spain, this knowledge later spread to Western Europe. Here, as part of the medieval Quadrivium, the understanding of geometry was deepened, leading to a revival during the Renaissance. Together with parallel achievements in India, China, Japan and the ancient American cultures, the European approaches formed the ideas and branches of geometry we know in the modern age: coordinate methods, analytical geometry, descriptive and projective geometry in the 17th an 18th centuries, axiom systems, geometry as a theory with multiple structures and geometry in computer sciences in the 19th and 20th centuries. Each chapter of the book starts with a table of key historical and cultural dates and ends with a summary of essential contents of geometr y in the respective era. Compelling examples invite the reader to further explore the problems of geometry in ancient and modern times. The book will appeal to mathematicians interested in Geometry and to all readers with an interest in cultural history. From letters to the authors for the German language edition I hope it gets a translation, as there is no comparable work. Prof. J. Grattan-Guinness (Middlesex University London) "Five Thousand Years of Geometry" - I think it is the most handsome book I have ever seen from Springer and the inclusion of so many color plates really improves its appearance dramatically! Prof. J.W. Dauben (City University of New York) An excellent book in every respect. The authors have successfully combined the history of geometry with the general development of culture and history. ... The graphic design is also excellent. Prof. Z. Nádenik (Czech Technical University in Prague)

The Philosophy of Mathematical Practice

Author: Paolo Mancosu
Publisher: Oxford University Press on Demand
ISBN: 0199296456
Format: PDF, Mobi
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This book gives a coherent and unified presentation of a new direction of work in philosophy of mathematics. This new approach in philosophy of mathematics requires extensive attention to mathematical practice and provides philosophical analyses of important novel characteristics of contemporary (twentieth century) mathematics and of many aspects of mathematical activity-such as visualization, explanation, understanding etc.-- which escape purely formal logicaltreatment.The book consists of a lengthy introduction by the editor and of eight chapters written by some of the very best scholars in this area. Each chapter consists of a short introduction to the general topic of the chapter and of a longer research article in the very same area. Theeight topics selected represent a broad spectrum of the contemporary philosophical reflection on different aspects of mathematical practice: Diagrammatic reasoning and representational systems; Visualization; Mathematical Explanation; Purity of Methods; Mathematical Concepts; Philosophical relevance of category theory; Philosophical aspects of computer science in mathematics; Philosophical impact of recent developments in mathematical physics.

Philosophy of the Sign

Author: Josef Simon
Publisher: SUNY Press
ISBN: 9780791424537
Format: PDF, Docs
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In this book, Simon wields Ockham's razor like a scythe to argue historically and systematically for a coherent philosophy of the sign as sign with an unprecedented minimum of ontological and semantical commitments. Deconstructing Plato, Frege, and Husserl, he accounts for signs without positing the existence either of meanings which they express or of things to which they refer. Indeed, he shows that one cannot understand anything that is not a sign, so that one never gets to meanings without signs or things beyond signs.

Bulemanns Haus

Author: Theodor Storm
Publisher: Createspace Independent Publishing Platform
ISBN: 9781976472442
Format: PDF, Kindle
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Nach dem Tod seines Vaters kehrt Herr Bulemann nach in �bersee verbrachten Jahren in seine Heimatstadt zur�ck und zieht in das Haus seines Vaters. Seine Frau und seine Kinder hat er auf der �berfahrt an Sklavenh�ndler verkauft - so erz�hlt man sich. Stattdessen hat Herr Bulemann zwei gro�e Katzen mitgebracht. In seinem Vaterhaus findet er allerlei Pfandg�ter - sein Vater war Pfandleiher - vor, die er widerrechtlich verkauft. In den folgenden Jahren suchen ihn Pfandgl�ubiger auf, welche ihre Pfandg�ter ausl�sen wollen und die er bestechen muss, damit sie sein widerrechtliches Handeln nicht ausplaudern. Er wird immer unleidlicher und menschenscheuer, bis sein einziger Kontakt zur Au�enwelt seine Haush�lterin ist, die ihn verachtet. Schlie�lich weist er schroff seine Halbschwester zur�ck, als sie ihn wegen ihres kr�nklichen Sohnes um Hilfe anfleht und verschuldet letztlich den Tod seines Neffen. Seine Schwester verflucht ihn, woraufhin sich die beiden Katzen nach und nach schauerlich verwandeln und ihn f�r immer in seinem Haus festhalten, aus dem die Haush�lterin inzwischen geflohen ist.

Waldwinkel

Author: Theodor Storm
Publisher: Tredition Classics
ISBN: 9783849100902
Format: PDF, Kindle
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Dieses Werk ist Teil der Buchreihe TREDITION CLASSICS. Der Verlag tredition aus Hamburg veroffentlicht in der Buchreihe TREDITION CLASSICS Werke aus mehr als zwei Jahrtausenden. Diese waren zu einem Grossteil vergriffen oder nur noch antiquarisch erhaltlich. Mit der Buchreihe TREDITION CLASSICS verfolgt tredition das Ziel, tausende Klassiker der Weltliteratur verschiedener Sprachen wieder als gedruckte Bucher zu verlegen - und das weltweit! Die Buchreihe dient zur Bewahrung der Literatur und Forderung der Kultur. Sie tragt so dazu bei, dass viele tausend Werke nicht in Vergessenheit geraten

Little Hobbin

Author: Theodor Storm
Publisher: North South Books
ISBN: 9781558584600
Format: PDF, Mobi
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After his mother becomes exhausted wheeling him around the room, Little Hobbin devises a way to keep his crib rolling and, with the help of the moon, rolls out of the house, into the street, to the end of the world, and into the sky.