By Christoph J. Scriba,Peter Schreiber,Jana Schreiber
The current quantity presents a desirable evaluate of geometrical principles and perceptions from the earliest cultures to the mathematical and inventive recommendations of the twentieth century. it's the English translation of the third version of the well-received German ebook “5000 Jahre Geometrie,” within which geometry is gifted as a sequence of advancements in cultural heritage and their interplay with structure, the visible arts, philosophy, technology and engineering.
Geometry originated within the old cultures alongside the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in historical Greece. encouraged by way of the Greek arithmetic, a brand new germ of geometry blossomed within the Islamic civilizations. throughout the Oriental impact on Spain, this information later unfold to Western Europe. right here, as a part of the medieval Quadrivium, the certainty of geometry was once deepened, resulting in a revival through the Renaissance. including parallel achievements in India, China, Japan and the traditional American cultures, the ecu ways shaped the guidelines and branches of geometry we all know within the glossy age: coordinate equipment, analytical geometry, descriptive and projective geometry within the seventeenth an 18th centuries, axiom structures, geometry as a idea with a number of constructions and geometry in laptop sciences within the nineteenth and twentieth centuries.
Each bankruptcy of the publication begins with a desk of key old and cultural dates and ends with a precis of crucial contents of geometry within the respective period. Compelling examples invite the reader to extra discover the issues of geometry in historical and smooth times.
The ebook will entice mathematicians attracted to Geometry and to all readers with an curiosity in cultural history.
From letters to the authors for the German language edition
I wish it will get a translation, as there is not any related work.
Prof. J. Grattan-Guinness (Middlesex collage London)
"Five Thousand Years of Geometry" - i feel it's the such a lot good-looking booklet i've got ever obvious from Springer and the inclusion of such a lot of colour plates particularly improves its visual appeal dramatically!
Prof. J.W. Dauben (City collage of recent York)
An first-class e-book in each recognize. The authors have effectively mixed the background of geometry with the overall improvement of tradition and historical past. …
The picture layout can be excellent.
Prof. Z. Nádenik (Czech Technical college in Prague)
Read Online or Download 5000 Years of Geometry: Mathematics in History and Culture PDF
Similar geometry & topology books
The publication is dedicated to the speculation of pairs of compact convex units and particularly to the matter of discovering forms of minimum representants of a couple of nonempty compact convex subsets of a in the community convex vector area within the feel of the Rådström-Hörmander conception. minimum pairs of compact convex units come up clearly in several fields of arithmetic, as for example in non-smooth research, set-valued research and within the box of combinatorial convexity.
Sir Walter Raleigh wollte wissen, wie Kanonenkugeln in einem Schiff am dichtesten gestapelt werden können. Der Astronom Johannes Kepler lieferte im Jahr 1611 die Antwort: genau so, wie Gemüsehändler ihre Orangen und Tomaten aufstapeln. Noch battle dies lediglich eine Vermutung – erst 1998 gelang dem amerikanischen Mathematiker Thomas Hales mit Hilfe von Computern der mathematische Beweis.
This ebook is dedicated to check of the main suitable methods to the learn of classical box theories of the 1st order, say k-symplectic and k-cosymplectic geometry. This process can be in comparison with others like multisymplectic formalism. it will likely be very beneficial for researchers operating in classical box theories and graduate scholars attracted to constructing a systematic profession within the topic.
Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer publication records mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen.
- Lie Algebras (Dover Books on Mathematics)
- Riemannsche Flächen (Springer-Lehrbuch) (German Edition)
- High-dimensional Knot Theory: Algebraic Surgery in Codimension 2 (Springer Monographs in Mathematics)
- Two-Dimensional Homotopy and Combinatorial Group Theory (London Mathematical Society Lecture Note Series)
- Handbook of Geometric Topology
- Geometry, Dynamics and Topology of Foliations:A First Course
Extra resources for 5000 Years of Geometry: Mathematics in History and Culture