Skip to content

Download e-book for kindle: Algebraical and Topological Foundations of Geometry: by Hans Freudenthal

By Hans Freudenthal

Algebraical and Topological Foundations of Geometry comprises the complaints of the Colloquium on Algebraic and Topological Foundations of Geometry, held in Utrecht, the Netherlands in August 1959. The papers evaluate the algebraical and topological foundations of geometry and canopy themes starting from the geometric algebra of the Möbius airplane to the idea of parallels with purposes to closed geodesies. teams of homeomorphisms and topological descriptive planes also are discussed.

Comprised of 26 chapters, this publication introduces the reader to the idea of parallels with functions to closed geodesies; teams of homeomorphisms; complemented modular lattices; and topological descriptive planes. next chapters concentrate on collineation teams; unprecedented algebras and unheard of teams; the relationship among algebra and structures with ruler and compasses; and using differential geometry and analytic team thought tools in foundations of geometry. Von Staudt projectivities of Moufang planes also are thought of, and an axiomatic remedy of polar geometry is presented.

This monograph can be of curiosity to scholars of mathematics.

Show description

Read or Download Algebraical and Topological Foundations of Geometry: Proceedings of a Colloquium Held in Utrecht, August 1959 PDF

Similar geometry & topology books

Read e-book online Statistics on Special Manifolds (Lecture Notes in PDF

Masking statistical research at the targeted manifolds, the Stiefel manifold and the Grassmann manifold, this booklet is designed as a reference for either theoretical and utilized statisticians. it is going to even be used as a textbook for a graduate direction in multivariate research. it really is assumed that the reader knows the standard conception of univariate data and a radical historical past in arithmetic, particularly, wisdom of multivariate calculation recommendations.

Donald M. Davis's The Nature and Power of Mathematics (Dover Books on PDF

This attractive publication explains a few of arithmetic' such a lot interesting principles to nonspecialists. It explores goods of philosophical and old curiosity, discusses the often-surprising applicability of arithmetic, and divulges the subject's intrinsic attractiveness. writer Donald M. Davis specializes in 3 major parts: non-Euclidean geometry, a foundation for relativity idea; quantity conception, a big element of cryptography; and fractals, the main components of computer-generated paintings.

Download e-book for iPad: Cartan Geometries and their Symmetries: A Lie Algebroid by Mike Crampin,David Saunders

During this publication we first assessment the guidelines of Lie groupoid and Lie algebroid, and the linked strategies of connection. We subsequent contemplate Lie groupoids of fibre morphisms of a  fibre package deal, and the connections on such groupoids including their symmetries. We additionally see how the infinitesimal method, utilizing Lie algebroids instead of Lie groupoids, and particularly utilizing Lie algebroids of vector fields alongside the projection of the fibre package, will be of profit.

An Interactive Introduction to Knot Theory (Aurora: Dover by Inga Johnson,Allison K. Henrich PDF

This well-written and interesting quantity, meant for undergraduates, introduces knot concept, a space of turning out to be curiosity in modern arithmetic. The hands-on procedure beneficial properties many routines to be accomplished by means of readers. must haves are just a uncomplicated familiarity with linear algebra and a willingness to discover the topic in a hands-on demeanour.

Extra info for Algebraical and Topological Foundations of Geometry: Proceedings of a Colloquium Held in Utrecht, August 1959

Example text

Download PDF sample

Algebraical and Topological Foundations of Geometry: Proceedings of a Colloquium Held in Utrecht, August 1959 by Hans Freudenthal


by Kenneth
4.4

Rated 4.10 of 5 – based on 27 votes