By Christoph J. Scriba,Peter Schreiber,Jana Schreiber
The current quantity offers a desirable evaluation of geometrical rules and perceptions from the earliest cultures to the mathematical and creative thoughts of the twentieth century. it's the English translation of the third version of the well-received German ebook “5000 Jahre Geometrie,” during which geometry is gifted as a series of advancements in cultural heritage and their interplay with structure, the visible arts, philosophy, technology and engineering.
Geometry originated within the historical cultures alongside the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in historical Greece. encouraged via the Greek arithmetic, a brand new germ of geometry blossomed within the Islamic civilizations. during the Oriental effect on Spain, this data later unfold to Western Europe. the following, as a part of the medieval Quadrivium, the knowledge of geometry was once deepened, resulting in a revival throughout the Renaissance. including parallel achievements in India, China, Japan and the traditional American cultures, the ecu techniques 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 thought with a number of buildings and geometry in computing device sciences within the nineteenth and twentieth centuries.
Each bankruptcy of the booklet starts off with a desk of key historic 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 e-book will attract mathematicians drawn 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's no related work.
Prof. J. Grattan-Guinness (Middlesex college London)
"Five Thousand Years of Geometry" - i feel it's the such a lot good-looking e-book i've got ever visible from Springer and the inclusion of such a lot of colour plates quite improves its visual appeal dramatically!
Prof. J.W. Dauben (City collage of recent York)
An very good ebook in each admire. The authors have effectively mixed the heritage of geometry with the final improvement of tradition and background. …
The picture layout can also be excellent.
Prof. Z. Nádenik (Czech Technical college in Prague)
Read or Download 5000 Years of Geometry: Mathematics in History and Culture PDF
Best geometry & topology books
This e-book bargains an advent to the idea of differentiable manifolds and fiber bundles. It examines bundles from the perspective of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil conception are mentioned, together with the Pontrjagin, Euler, and Chern attribute sessions of a vector package.
"A lucid and masterly survey. " — arithmetic GazetteProfessor Pedoe is well known as a good instructor and an excellent geometer. His talents in either parts are basically obtrusive during this self-contained, well-written, and lucid advent to the scope and techniques of effortless geometry. It covers the geometry frequently incorporated in undergraduate classes in arithmetic, with the exception of the idea of convex units.
Metric and Differential Geometry grew out of a equally named convention held at Chern Institute of arithmetic, Tianjin and Capital basic collage, Beijing. some of the contributions to this quantity disguise a large variety of subject matters in metric and differential geometry, together with metric areas, Ricci circulation, Einstein manifolds, Kähler geometry, index concept, hypoelliptic Laplacian and analytic torsion.
The ebook demonstrates the advance of fundamental geometry on domain names of homogeneous areas for the reason that 1990. It covers a variety of themes, together with research on multidimensional Euclidean domain names and Riemannian symmetric areas of arbitrary ranks in addition to fresh paintings on section house and the Heisenberg team.
- Eutocius d’Ascalon: Commentaire sur le traité des "Coniques" d'Apollonius de Perge (Livres I-IV) (Scientia Graeco-Arabica) (French Edition)
- Scientific Essays in Honor of H Pierre Noyes on the Occasion of His 90th Birthday: 54 (Series on Knots and Everything)
- Algèbre: Chapitre 9 (Elements De Mathematique) (French Edition)
- Geometry For Dummies
Additional resources for 5000 Years of Geometry: Mathematics in History and Culture
5000 Years of Geometry: Mathematics in History and Culture by Christoph J. Scriba,Peter Schreiber,Jana Schreiber