Analytic topology books

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This book is essentially a self-contained introduction to topological dynamics and ergodic theory. It is divided...  Read More >>

Steven Hurder's lectures apply ideas from smooth dynamical systems to develop useful concepts in the study of foliations:...  Read More >>

Provides an introduction to Hodge theory - one of the central and most vibrant areas of contemporary mathematics...  Read More >>

One of the great achievements of contemporary mathematics is the new understanding of four dimensions. Michael Freedman...  Read More >>

In the words of B. B. Mandelbrot's contribution to this important collection of original papers, fractal geometry...  Read More >>

The theory of D-modules deals with the algebraic aspects of differential equations. These are particularly interesting...  Read More >>

In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation...  Read More >>

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This monograph gives a modern account of the application of critical point theory, and more specifically Morse theory,...  Read More >>

This comprehensive and popular textbook makes fractal geometry accessible to final-year undergraduate math or physics...  Read More >>

From the contours of coastlines to the outlines of clouds, fractal shapes can be found regularly in nature. This...  Read More >>

Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published...  Read More >>

First published in 1981, this reissue of Professor Wilson’s classic study outlines the implications of the mathematical...  Read More >>

This work concerns the diffeomorphism groups of 3-manifolds, in particular of elliptic 3-manifolds.  Read More >>

This book is an introduction to an important area of mathematics and mathematical physics. It is accessible to university...  Read More >>

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Contents: Badrikian, A.: Prolegomenes au calcul des probabilités dans les Banach.- Fernique, X. Régularité des trajectoires...  Read More >>

Fractal-based methods are at the heart of modeling the behavior of phenomena at varying scales. This volume collates...  Read More >>

This monograph gives a modern account of the application of critical point theory, and more specifically Morse theory,...  Read More >>

Innovative methods for the analysis of chaotic systems, in this second edition completed by a broad introduction...  Read More >>

This monograph aims to show that, in the radiation regime, there exists a Hamiltonian description of the dynamics...  Read More >>

A chain condition is a property, typically involving considerations of cardinality, of the family of open subsets...  Read More >>

The purpose of this book is to study the relation between the representation ring of a finite group and its integral...  Read More >>