Geometry of Four Dimensions

The Foundations Of Four Dimensional Geometry; Points And Lines; Triangles; Planes; Convex Polygons; Tetrahedrons; Hyperplanes; Convex Pyramids And Pentahedroids; Space Of Four Dimensions; Hyperpyramids And Hypercones; Perpendicularity And Simple Angles; Angles Of Two Planes And Angles Of Higher Order; Symmetry, Order, And Motion; Euclidian Geometry; Figures With Parallel Elements; Measurement Of Volume And Hypervolume In Hyperspace; The Regular Polyhedroids; The Polyhedroid Formula;

 

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Geometry of Four Dimensions

Contents: The Foundations Of Four Dimensional Geometry; Points And Lines; Triangles; Planes; Convex Polygons; Tetrahedrons; Hyperplanes; Convex Pyramids And Pentahedroids; Space Of Four Dimensions; Hyperpyramids And Hypercones; Perpendicularity And Simple Angles; Angles Of Two Planes And Angles Of Higher Order; Symmetry, Order, And Motion; Euclidian Geometry; Figures With Parallel Elements; Measurement Of Volume And Hypervolume In Hyperspace; The Regular Polyhedroids; The Polyhedroid Formula

Discrete Differential Geometry: An Applied Introduction

This new and elegant area of mathematics has exciting applications, as this course demonstrates by presenting practical examples in geometry processing (surface fairing, parameterization, and remeshing) and simulation (of cloth, shells, rods, and fluids).

The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications

The Last Recreations collects the final works of Martin Gardner, the renowned "Mathematical Games" columnist for Scientific American. No prior knowledge of mathematics are necessary here; all will enjoy learning about topics ranging from Bulgarian solitaire to taxicab geometry, with experienced expositor Gardner as guide. Letters and updates concerning his column are also included in this book.
 

Strings and Geometry

This volume highlights some of the current interests of researchers working at the interface between string theory and algebraic geometry. The topics covered include manifolds of special holonomy, supergravity, supersymmetry, D-branes, the McKay correspondence and the Fourier-Mukai transform.