"Minimal surfaces date back to Euler and Lagrange and the beginning of the calculus of variations. Many of the techniques developed have played key roles in geometry and partial differential equations. Examples include monotonicity and tangent cone analysis originating in the re…
"Minimal surfaces date back to Euler and Lagrange and the beginning of the calculus of variations. Many of the techniques developed have played key roles in geometry and partial differential equations. Examples include monotonicity and tangent cone analysis originating in the re…
"This book is an elementary introduction to geometric topology and its applications to chemistry, molecular biology, and cosmology. It does not assume any mathematical or scientific background, sophistication, or even motivation to study mathematics. It is meant to be fun and en…
This book is an elementary introduction to geometric topology and its applications to chemistry, molecular biology, and cosmology. It does not assume any mathematical or scientific background, sophistication, or even motivation to study mathematics. It is meant to be fun and eng…
"This book is an elementary introduction to geometric topology and its applications to chemistry, molecular biology, and cosmology. It does not assume any mathematical or scientific background, sophistication, or even motivation to study mathematics. It is meant to be fun and en…
Ordered groups and topology
by Clay, Adam, (Adam J.), Rolfsen, Dale
fromGraduate studies in mathematics
This book deals with the connections between topology and ordered groups. It begins with a self-contained introduction to orderable groups and from there explores the interactions between orderability and objects in low-dimensional topology, such as knot theory, braid groups, an…
Ordered groups and topology
by Clay, Adam, (Adam J.), Rolfsen, Dale
fromGraduate studies in mathematics
"This book deals with the connections between topology and ordered groups. It begins with a self-contained introduction to orderable groups and from there explores the interactions between orderability and objects in low-dimensional topology, such as knot theory, braid groups, a…
From groups to geometry and back
by Climenhaga, Vaughn, Katok, A. B.
fromStudent mathematical library
Groups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract groups by using geometric techniques and ultimately by treating groups themselves as geometric objects. This book explores…
From groups to geometry and back
by Climenhaga, Vaughn, Katok, A. B.
fromStudent mathematical library
Groups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract groups by using geometric techniques and ultimately by treating groups themselves as geometric objects. This book explores…
Group actions on Riemann surfaces, Klein surfaces, and related structures such as hyperbolic manifolds, complex surfaces, and Teichmüller spaces constitute an important nexus for group theory, combinatorics, geometry, topology, Galois theory and complex analysis. Compact Riemann…
