Analytic topology

Complex Analysis is the powerful fusion of the complex numbers (involving the 'imaginary' square root of -1) with ordinary calculus, resulting in a tool that has been of central importance to science for more than 200 years.

This classic is an ideal introduction for students into the methodology and thinking of higher mathematics.

This book not only presents essential material to understand fuzzy metric fixed point theory, but also enables the readers to appreciate the recent advancements made in this direction.

This book not only presents essential material to understand fuzzy metric fixed point theory, but also enables the readers to appreciate the recent advancements made in this direction.

This book contains an in-depth overview of the current state of the recently emerged and rapidly growing theory of Gnk groups, picture-valued invariants, and braids for arbitrary manifolds.

This book covers recent topics in various aspects of foliation theory and its relation with other areas including dynamical systems, C*-algebras, index theory and low-dimensional topology.

One of the ways to understand the complexity in scientific disciplines is through the use of fractal geometry.

These original research papers, written during a period of over a quarter of a century, have two main objectives.

This book constitutes a review volume on the relatively new subject of Quantum Topology.

Harmonic maps between Riemannian manifolds are solutions of systems of nonlinear partial differential equations which appear in different contexts of differential geometry.

Topological quantum numbers are distinguished from quantum numbers based on symmetry because they are insensitive to the imperfections of the systems in which they are observed.

This is both a textbook and a monograph.

This volume contains surveys and research articles regarding different aspects of the theory of foliation.

This book provides a self-contained representation of the local version of the Atiyah-Singer index theorem.

This volume takes a look at the current state of the theory of foliations, with surveys and research articles concerning different aspects.

This book provides a comprehensive overview of the authors' pioneering contributions to nonlinear set-valued analysis by topological methods.

This is the first of three volumes collecting the original and now classic works in topology written in the 50s-60s.

The theory of soliton equations and integrable systems has developed rapidly during the last 20 years with numerous applications in mechanics and physics.

This book contains an in-depth overview of the current state of the recently emerged and rapidly growing theory of Gnk groups, picture-valued invariants, and braids for arbitrary manifolds.

This monograph, for the first time in book form, considers the large structure of metric spaces as captured by bornologies: families of subsets that contain the singletons, that are stable under finite unions, and that are stable under taking subsets of its members.

An der Universität hörte ich erstmals davon, dass abstrakte mathematische Konzepte unsere Naturgesetze beschreiben, wie etwa das Standardmodell der Teilchenphysik.

This monograph, for the first time in book form, considers the large structure of metric spaces as captured by bornologies: families of subsets that contain the singletons, that are stable under finite unions, and that are stable under taking subsets of its members.

A highly valued resource for those who wish to move from the introductory and preliminary understandings and the measurement of chaotic behavior to a more sophisticated and precise understanding of chaotic systems.

A highly valued resource for those who wish to move from the introductory and preliminary understandings and the measurement of chaotic behavior to a more sophisticated and precise understanding of chaotic systems.

Dieses Buch konzentriert das aktuelle Gesamtwissen zum Proximity-Konzept und stellt es dem Leser in gut strukturierter Form dar.

No detailed description available for "e;The Link Invariants of the Chern-Simons Field Theory"e;.

The aim of the book is to give a broad introduction of topology to undergraduate students.

The aim of the book is to give a broad introduction of topology to undergraduate students.

The subject matter of compact groups is frequently cited in fields like algebra, topology, functional analysis, and theoretical physics.

This monograph aims to give a self-contained introduction into the whole field of topological analysis: Requiring essentially only basic knowledge of elementary calculus and linear algebra, it provides all required background from topology, analysis, linear and nonlinear functional analysis, and multivalued maps, containing even basic topics like separation axioms, inverse and implicit function theorems, the Hahn-Banach theorem, Banach manifolds, or the most important concepts of continuity of multivalued maps.

A textbook for either a semester or year course for graduate students of mathematics who have had at least one course in topology.

This classic is an ideal introduction for students into the methodology and thinking of higher mathematics.

A textbook for either a semester or year course for graduate students of mathematics who have had at least one course in topology.

Investigations by Baire, Lebesgue, Hausdorff, Marczewski, and othes have culminated invarious schemes for classifying point sets.

Investigations by Baire, Lebesgue, Hausdorff, Marczewski, and othes have culminated invarious schemes for classifying point sets.

Many of the modern variational problems in topology arise in different but overlapping fields of scientific study: mechanics, physics and mathematics.

Many of the modern variational problems in topology arise in different but overlapping fields of scientific study: mechanics, physics and mathematics.

The seminal text on fractal geometry for students and researchers: extensively revised and updated with new material, notes and references that reflect recent directions.

The seminal text on fractal geometry for students and researchers: extensively revised and updated with new material, notes and references that reflect recent directions.

This book serves as a textbook for an introductory course in metric spaces for undergraduate or graduate students.

This book serves as a textbook for an introductory course in metric spaces for undergraduate or graduate students.

This first integrated treatment of the main ideas behind Ren Thom's theory of catastrophes aims to make them accessible to scientists wishing to apply the theory in their own fields of research.

There are many proposed aims for scientific inquiry--to explain or predict events, to confirm or falsify hypotheses, or to find hypotheses that cohere with our other beliefs in some logical or probabilistic sense.

How is a subway map different from other maps?

How is a subway map different from other maps?