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This book provides a fresh modern introduction to geometry, an ancient branch of mathematics with important applications. It takes readers from Euclidean and... Læs mere
The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book... Læs mere
Moreover, we present new results by demonstrating all essential features of Laguerre geometry on the example of checkerboard incircular nets.... Læs mere
In this text the author looks at the work of Riemann, who in the 19th century contributed to the study of curved surfaces, or non-Euclidian geometry. Riemann's results later found application in physics, when Einstein introduced his theory of relativity.
This book focuses on generalisations of Gromov hyperbolicity in geometric group theory. Five self-contained expository articles introduce topics 'beyond hyperbolicity': these can be... Læs mere
This new 25th anniversary edition of Visual Complex Analysis introduces this powerful method combining complex numbers with ordinary calculus, and includes new introductory content and brand-new captions that fully explain the geometrical reasoning.
This volume provides an introduction to dessins d'enfants and embeddings of bipartite graphs in compact Riemann surfaces.
Answering popular demand, the authors now present the current book, in which they provide a detailed, self-contained explanation of the theory of... Læs mere