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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 …
The technique of residues is known for its many applications in different branches of mathematics. Tsikh's book presents a systematic account of residues associated with …
This monograph covers in a unified manner new results on smooth functions on manifolds. A major topic is Morse and Bott functions with a minimal number of singularities on …
Studies the eigenvalues of elliptic linear boundary value problems. This work features a collection of asymptotic formulas describing the distribution of eigenvalues with high …
The variety of combinatorial properties of nonnegative matrices is widely discussed in the mathematical literature, and there are many papers on this topic. However, there are few …