Algebraic topology books

In recognition of professor Shiing-Shen Chern’s long and distinguished service to mathematics and to the University...  Read More >>

Nato dall'esperienza dell'autore nell'insegnamento della topologia agli studenti del corso di Laurea in Matematica,...  Read More >>

Moduli theory represents a significant topic of modern mathematical research with strong connections to many areas...  Read More >>

This ambitious and original book sets out to introduce to mathematicians (even including graduate students ) the...  Read More >>

Focusing on topos theory's integration of geometric and logical ideas into the foundations of mathematics and theoretical...  Read More >>

Since most of the problems arising in science and engineering are nonlinear, they are inherently difficult to solve....  Read More >>

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Provides an introduction to algebraic cycles on complex algebraic...  Read More >>

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This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors...  Read More >>

Unlike other analytic techniques, the Homotopy Analysis Method (HAM) is independent of small/large physical parameters....  Read More >>

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At the heart of the topology of global optimization lies Morse Theory: The study of the behaviour of lower level...  Read More >>

It defines the Morse complex and the Morse homology, and develops some of their applications.Morse homology also...  Read More >>

The book deals with the localization approach to the index problem for elliptic operators. Localization ideas have...  Read More >>

The conjugate operator method is a powerful recently developed technique for studying spectral properties of self-adjoint...  Read More >>

""These volumes collect almost all of the research and expository papers of J.-P. Serre published in mathematical...  Read More >>

This book is about modern algebraic geometry. Euclid is said to have answered: “There is no royal road to geometry!”...  Read More >>

The book by Borel and Wallach is a classic treatment of the use of cohomology in representation theory, particularly...  Read More >>

In recognition of professor Shiing-Shen Chern’s long and distinguished service to mathematics and to the University...  Read More >>

It is not often that one gets to write a preface to a collection of one's own papers. I was impressed by the editors'...  Read More >>

Presents an introduction to classical knot theory. This book contains many figures and some tables of invariants...  Read More >>

The deeper knowledge of renormalization theory we hope readers will acquire should help them to face the difficult...  Read More >>

From the preface: ""Hopf algebras, Hopf fibration of spheres,...  Read More >>