Kategoria BISAC: Mathematics >> Geometry - General

The book is dedicated to Velimir Jurdjevic whose scientific activities have been influential in the research of many of the authors. It contains a number...

Knot theory is a concept in algebraic topology that has found applications to a variety of mathematical problems as well as to problems in computer science, biological and medical research, and mathematical physics. This book is directed to a broad audience of researchers, beginning graduate students, and senior undergraduate students in these fields.

The book contains most of the fundamental classical facts about the theory, such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials; also included are key newer developments and...

The theory of planar involute gearing is generalized for the design and machine-cutting of spatial involute gearing. The monograph solves a problem, which has been discussed for over 150 years. Involute skew helicals, oblique involute hypoids, offset involute worms, bevels and straight spur gears are all explicable by the same unifying theory. A fundamental law, not only for involute but for all kinds of gearing, is enunciated and proven. The spatial involute gearing introduced and explained in this book involves in all cases straight line paths for both points of contact, constant angular...

This is the softcover reprint of the 1974 English translation of the later chapters of Bourbaki's Topologie Generale. Initial chapters study subgroups and quotients of R, real vector spaces and projective spaces, and additive groups Rn. Analogous properties are then studied for complex numbers. Later chapters illustrate the use of real numbers in general topology and discuss various topologies of function spaces and approximation of functions.

For many years, algebraic topology rests on three legs: "ordinary" cohomology, K-theory, and cobordism. This book is the first guide on the subject of cobordism since R. Stong's encyclopaedic and influential notes of a generation ago. It concentrates on Thom spaces (spectra), orientability theory and (co)bordism theory (including (co)bordism with singularities and, in particular, Morava K-theories), framed by (co)homology theories and spectra.

From the Foreword by Haynes Miller

The author has also performed a service to the history of science in this book, giving detailed...

A number of important results in combinatorics, discrete geometry, and theoretical computer science have been proved using algebraic topology. While the results are quite famous, their proofs are not so widely understood. They are scattered in research papers or outlined in surveys, and they often use topological notions not commonly known among combinatorialists or computer scientists.

This book is the first textbook treatment of a significant part of such results. It focuses on so-called equivariant methods, based on the Borsuk-Ulam theorem and its generalizations. The topological...

From the reviews: "This attractive book provides an account of the theory of special relativity from a geometrical viewpoint, explaining the unification and insights that are given by such a treatment. ...] Can be read with profit by all who have taken a first course in relativity physics." ASLIB Book Guide