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A selection of topics which graduate students have found to be a successful introduction to the field, employing three distinct …

This is a book in pure mathematics dealing with homotopy theory, one of the main branches of algebraic topology. The …

This book brings the most important aspects of modern topology within reach of a second-year undergraduate student. It successfully unites …

This book aims to present a new approach called Flow Curvature Method that applies Differential Geometry to Dynamical Systems. Hence, …

Application of the concepts and methods of topology and geometry have led to a deeper understanding of many crucial aspects …

This elegant book by distinguished mathematician John Milnor, provides a clear and succinct introduction to one of the most important …

From reviews of the first edition: "In the world of mathematics, the 1980's might well be described as the "decade …

Updates a popular textbook from the golden era of the Moscow school of I. M. Gelfand Presents material concisely but …

If you are a student of mathematics, a scientist working in fields affected by knot theory research, or a curious …

This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with …

This book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are …

Optimization on Riemannian manifolds-the result of smooth geometry and optimization merging into one elegant modern framework-spans many areas of science …

Targeted to graduate students of mathematics, this book discusses major topics like the Lie group in the study of smooth …

Arising from the 1996 Cape Town conference in honour of the mathematician Bernhard Banaschewski, this collection of 30 refereed papers …

I have in mind the following reader: someone who will do what it takes to learn Differential Geometry. The title …

This unique book on modern topology looks well beyond traditional treatises and explores spaces that may, but need not, be …

Gives a very streamlined development of a course in metric space topology emphasizing only the most useful concepts, concrete spaces …

This textbook in point set topology is aimed at an upper-undergraduate audience. Its gentle pace will be useful to students …

This text presents the fundamental principles of topology rigorously but not abstractly. It emphasizes the geometric nature of the subject …

The uniqueness of this text in combining geometric topology and differential geometry lies in its unifying thread: the notion of …

In the world of physical mail, there is a struggle to address letters and envelopes individually. In the world of …

Published in two volumes, this is the first book to provide a thorough and systematic explanation of symplectic topology, and …

This text, developed from a first-year graduate course in algebraic topology, is an informal introduction to some of the main …

In most major universities one of the three or four basic first-year graduate mathematics courses is algebraic topology. This introductory …

In 1989-90 the Mathematical Sciences Research Institute conducted a program on Algebraic Topology and its Applications. The main areas of …

Discover a unique and modern treatment of topology employing a cross-disciplinary approach Implemented recently to understand diverse topics, such as …

These are notes from the first part of an undergraduate course in 2005. There are only about 50 pages, so …

Introduction to Set Theory and Topology describes the fundamental concepts of set theory and topology as well as its applicability …

The book gives an excellent overview of 4-manifolds, with many figures and historical notes. Graduate students, nonexperts, and experts alike …

This is the first of the encyclopaedia volumes devoted to general topology. It has two parts. The first outlines the …

Knot theory is a kind of geometry, and one whose appeal is very direct because the objects studied are perceivable …