Die Topologie beschäftigt sich mit den qualitativen Eigenschaften geometrischer Objekte.

This is how a so-called critical edition is made. This edition of the Latin text is preceded by General Introduction, describing the various manuscripts, the content of the work and what we know about its author.

In this monograph we give an exposition of some recent development in homotopy theory.

Readers looking to take first steps toward the study of combinatorics, finite geometry, design theory, coding theory, or cryptology will find this book valuable.

They also address important new topics, such as quaternions. The approach of this book is at times more computational than is usual for a book on the subject.

The book provides the main results of harmonic vector ?elds with an emphasis on Riemannian manifolds using past and existing problems to assist you in analyzing and furnishing your own conclusion for further research.

The book provides an accessible and self-contained introduction to algebraic geometry, up to an advanced level. Every chapter of the book is preceded by a motivating introduction with an informal discussion of the contents.

This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.

Chapters 2-7 contain the core mathematical content of the text, following the ErlangenProgram, which develops geometry in terms of a space and a group of transformations on that space.

This text provides a framework for describing and organizing the basic forces of nature and the interactions of subatomic particles.