MATHEMATICS / Geometry / General

Office hours with a geometric group theorist

0 Type: Book

Groups /Matt Clay and Dan Margalit --... and spaces /Matt Clay and Dan Margalit --Groups acting on trees /Dan Margalit --Free groups and folding /Matt Clay --The ping-pong lemma /Johanna Mangahas --Automorphisms of free groups /Matt Clay --Quasi-isometries /Dan Margalit and Anne…

Geometry, analysis and dynamics on sub-Riemannian manifolds

by European Mathematical Society

fromEMS series of lectures in mathematics

0 Type: Book

Sub-Riemannian manifolds model media with constrained dynamics: motion at any point is only allowed along a limited set of directions, which are prescribed by the physical problem. From the theoretical point of view, sub-Riemannian geometry is the geometry underlying the theory …

Further advances in twistor theory

0 Type: Book

Although twistor theory originated as an approach to the unification of quantum theory and general relativity, twistor correspondences and their generalizations have provided powerful mathematical tools for studying problems in differential geometry, nonlinear equations, and rep…

Pentagons and pentagrams: an illustrated history

by Maor, Eli, Jost, Eugen

0 Type: Book

"This book tells the story of the pentagon and its cousin, the pentagram, delving into the shapes' history, mathematical features, cultural significance, and their role in nature, science, and art. While the pentagon may seem to be a quotidian shape, it has a fascinating history…

Pentagons and pentagrams: an illustrated history

by Maor, Eli, Jost, Eugen

0 Type: Book

Five -- [phi symbol] -- But is it divine? -- Constructing the regular pentagon -- Pentagrams -- Pentastars -- Tessellations : defying the impossible -- The discovery of fivefold symmetry in crystals -- Oh, that Pentagon. "This book tells the story of the pentagon and its cousin…

Pentagons and pentagrams: an illustrated history

by Maor, Eli, Jost, Eugen

0 Type: Book

"This book tells the story of the pentagon and its cousin, the pentagram, delving into the shapes' history, mathematical features, cultural significance, and their role in nature, science, and art. While the pentagon may seem to be a quotidian shape, it has a fascinating history…

Elementary introduction to quantum geometry

by Ambjørn, Jan

0 Type: Book

This graduate textbook provides an introduction to quantum gravity, when spacetime is two-dimensional. The quantization of gravity is the main missing piece of theoretical physics, but in two dimensions it can be done explicitly with elementary mathematical tools, but it still h…

Compactifications of PEL-type shimura varieties and kuga families with ordinary loci

by Lan, Kai-Wen

0 Type: Book

"This book is a comprehensive treatise on the partial toroidal and minimal compactifications of the ordinary loci of PEL-type Shimura varieties and Kuga families, and on the canonical and subcanonical extensions of automorphic bundles. The results in this book serve as the logic…

Star origami: The Starrygami, galaxy of modular origami stars, …

by Lam, Tung Ken

fromAK Peters/CRC recreational mathematics series

0 Type: Book

"Star Origami: The Starrygami Galaxy of Modular Origami Stars, Rings and Wreaths is an exciting collection of origami rings, stars and wreaths made using the modular technique, including clear instructions for making them. Features Over sixty paper stars, all made without cuttin…

Geometry of isotropic convex bodies

by Giannopoulos, Apostolos, Brazitikos, Silouanos, Valettas, Petros, Vritsiou, Beatrice-Helen

fromMathematical surveys and monographs

0 Type: Book

The study of high-dimensional convex bodies from a geometric and analytic point of view, with an emphasis on the dependence of various parameters on the dimension stands at the intersection of classical convex geometry and the local theory of Banach spaces. It is also closely li…