Many properties of minimal surfaces are of a global nature, and this is already true for the results treated in the first two volumes of the treatise. Part I of the present book can be viewed as an extension of these results. For instance, the first two chapters deal with existence, regularity and uniqueness theorems for minimal surfaces with partially free boundaries. Here one of the main features is the possibility of "edge-crawling" along free parts of the boundary.
Riemannian Geometry of Contact and Symplectic Manifolds, 2 Edition
Second Edition features new material in most chapters, but particularly in Chapters 3, 7, and 12 Covers major new topics, such as a complex geodesic flow and the accompanying geometry of the projectivized holomorphic tangent bundle Features improvements and general corrections based off of the first edition throughout the text Intended for a broad audience of mathematicians, researchers and students in Riemannian geometry
The Art of Proof: Basic Training for Deeper Mathematics
Presents fundamental mathematics, integers and real numbers, in a way that asks for student participation, while teaching how mathematics is done Provides students with methods and ideas they can use in future courses Primarily for: undergraduates who have studied calculus or linear algebra; mathematics teachers and teachers-in-training; scientists and social scientists who want to strengthen their command of mathematical methods Extra topics in appendices give instructor flexibility
Analysis and Design of Univariate Subdivision Schemes
This book covers the theory of subdivision curves in detail, which is a prerequisite for that of subdivision surfaces. The book reports on the currently known ways of analysing a subdivision scheme (i.e. measuring criteria which might be important for the application of a scheme to a given context). It then goes on to consider how those analyses can be used in reverse to design a scheme best matching the particular criteria for a given application.
Measurements and their Uncertainties: A practical guide to modern error analysis
This hands-on guide is primarily intended to be used in undergraduate laboratories in the physical sciences and engineering. It assumes no prior knowledge of statistics. It introduces the necessary concepts where needed, with key points illustrated with worked examples and graphic illustrations. In contrast to traditional mathematical treatments it uses a combination of spreadsheet and calculus-based approaches, suitable as a quick and easy on-the-spot reference.
