Topology books

A book on homotopy theory, written to appeal to both established researchers in the field and graduate students...  Read More >>

This book gives a fairly elementary introduction to the local theory of differentiable mappings and is suitable...  Read More >>

A comprehensive treatment of elliptic functions is linked by these notes to a study of their application to elliptic...  Read More >>

This is an introduction to algebraic K-theory with no prerequisite...  Read More >>

This book presents a complete account of the theory of dynamical systems with nonzero Lyapunov exponents. It serves...  Read More >>

These two volumes provide a self-contained account of research on algebraic cycles and motives. Twenty-two contributions...  Read More >>

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The book surveys how chaotic behaviors can be described with topological tools and how this approach occurred in...  Read More >>

We propose here a study of 'semiexact' and 'homological' categories as a basis for a generalised homological algebra....  Read More >>

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Reprint. Originally published: Reading, Mass.: Addison-Wesley Pub. Co., 1965.  Read More >>

This book is a first sketch of what the overall field of performance could look like as a modern scientific field...  Read More >>

Ferner enthält der Band Hausdorff's kritische Besprechung von Russells ""The Principles of Mathematics"", aus dem...  Read More >>

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In these notes, first published in 1980, Professor Northcott provides a self-contained introduction to the theory...  Read More >>

The study of abelian manifolds forms a natural generalization of the theory of elliptic functions, that is, of doubly...  Read More >>

This book gives a summary of the theory and discusses the applications of algebraic curves over finite fields with...  Read More >>

An authoritative collection of surveys and papers, ranging over a wide number of topics in combinatorial and geometric...  Read More >>

This book is based on a course taught to an audience of undergraduate and graduate students at Oxford, and can be...  Read More >>

In the preface to Volume One I promised a second volume which would contain the theory of linear mappings and special...  Read More >>

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This welcome boon for students of algebraic topology cuts a much-needed central path between other texts whose treatment...  Read More >>

The heat kernel has long been an essential tool in both classical and modern mathematics but has become especially...  Read More >>

This monograph deals with products of Dedekind's eta function, with Hecke theta series on quadratic number fields,...  Read More >>

This book is an introduction to manifolds at the beginning graduate level. The author’s book Introduction to Smooth...  Read More >>