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This is a foundation for arithmetic topology - a new branch of mathematics which is focused upon the analogy between knot theory and number theory. St...Savoir plus
Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be ...Savoir plus
This two-volume set provides a comprehensive and self-contained approach to the dynamics, ergodic theory, and geometry of elliptic functions mapping t...Savoir plus
This introductory volume provides the basics of surface-knots and related topics, not only for researchers in these areas but also for graduate studen...Savoir plus
Complex Polynomials explores the geometric theory of polynomials and rational functions in the plane. Early chapters build the foundations of complex ...Savoir plus
The main purpose of the present volume is to give a survey of some of the most significant achievements obtained by topological methods in nonlin- ear...Savoir plus
This updated and revised third edition of the leading reference volume on distance metrics includes new items from very active research areas in the u...Savoir plus
This book presents the theory of dynamical systems with nonzero Lyapunov exponents, offering a rigorous mathematical foundation for deterministic chao...Savoir plus
This book provides an introduction to the main geometric structures that are carried by compact surfaces, with an emphasis on the classical theory of ...Savoir plus
An updated and expanded second edition of a successful and well-reviewed text presenting a detailed exposition of the modern theory of supermanifolds,...Savoir plus
This interdisciplinary book uses the computer to take a combinatorial computational approach to homological problems. It will appeal especially to res...Savoir plus
This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two competing persp...Savoir plus
This book provides a detailed but concise account of the theory of structure of finite p-groups admitting p-automorphisms with few fixed points. The r...Savoir plus
Poisson geometry lies at the cusp of noncommutative algebra and differential geometry, with natural and important links to classical physics and quant...Savoir plus
The characteristic feature of many models for field theories based on concepts of differential geometry is their nonlinearity. In this book a systemat...Savoir plus
This volume presents lecture notes based on the author's courses on Lie algebras and the solution of Hilbert's fifth problem. In chapter 1, "Lie Algeb...Savoir plus
This is an accessible introduction to some of the fundamental connections among differential geometry, Lie groups, and integrable Hamiltonian systems....Savoir plus
'Metric spaces' is taught in the final years of undergraduate degrees as an essential part of functional analysis. This book takes a traditional theor...Savoir plus
This third edition is addressed to the mathematician or graduate student of mathematics - or even the well-prepared undergraduate - who would like, wi...Savoir plus
Discoveries of chaotic, unpredictable behaviour in physical deterministic systems has brought about new analytic and experimental techniques in dynami...Savoir plus
This book contains the proceedings of the conference "Fractals in Graz 2001 - Analysis, Dynamics, Geometry, Stochastics" that was held in the second w...Savoir plus
This book presents the relationship between ultrafilters and topologies on groups. It shows how ultrafilters are used in constructing topologies on gr...Savoir plus