The Axiomatic Method
by L. Henkin, P. Suppes, A. Tarski
Publisher: North Holland Publishing Company 1959
Number of pages: 508
The thirty-three papers in this volume constitute the proceedings of an international symposium on The axiomatic method, with special reference to geometry and physics. The volume naturally divides into three parts. Part I consists of fourteen papers on the foundations of geometry, Part II of fourteen papers on the foundations of physics, and Part III of five papers on general problems and applications of the axiomatic method.
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by Andrew Ranicki, et al. - American Mathematical Society
This volume includes papers ranging from applications in topology and geometry to the algebraic theory of quadratic forms. Various aspects of the use of quadratic forms in algebra, analysis, topology, geometry, and number theory are addressed.
by E O Harriss - Mathematicians.org.uk
Contents: Background Material (Euclidean Space, Delone Sets, Z-modules and lattices); Tilings of the plane (Periodic, Aperiodic, Penrose Tilings, Substitution Rules and Tiling, Matching Rules); Symbolic and Geometric tilings of the line.
by Alfred North Whitehead - Cambridge University Press
In this book, after the statement of the axioms, the ideas considered are those concerning the association of Projective and Descriptive Geometry by means of ideal points, point to point correspondence, congruence, distance, and metrical geometry.
by John C. Polking - Rice University
We are interested here in the geometry of an ordinary sphere. In plane geometry we study points, lines, triangles, polygons, etc. On the sphere there are no straight lines. Therefore it is natural to use great circles as replacements for lines.