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The purpose of this book is to help the aspiring reader acquire an essential common sense about algebraic topology in a short period of time. The author leads readers through …
In a very broad sense, 'spaces' are objects of study in geometry, and 'functions' are objects of study in analysis. There are, however, deep relations between functions defined on …
The word 'moduli' in the sense of this book first appeared in the epoch-making paper of B. Riemann, Theorie der Abel'schen Funktionen, published in 1857. Riemann defined a Riemann …
This book studies a large class of topological spaces, many of which play an important role in differential and homotopy topology, algebraic geometry, and catastrophe theory. These …
Studies the eigenvalues of elliptic linear boundary value problems. This work features a collection of asymptotic formulas describing the distribution of eigenvalues with high …
Since the times of Gauss, Riemann, and Poincare, one of the principal goals of the study of manifolds has been to relate local analytic properties of a manifold with its global …
Focuses on the relationship between two-dimensional quantum field theory and three-dimensional topology which has been studied intensively since the discovery of the Jones …
Describes modern and visual aspects of the theory of minimal, two-dimensional surfaces in three-dimensional space. This book covers such topics as topological properties of minimal …
This book deals with geometric and topological aspects of discrete groups. The main topics are hyperbolic groups due to Gromov, automatic group theory, invented and developed by …