Kategoria BISAC: Mathematics >> Algebra - General

This is a book in pure mathematics dealing with homotopy theory, one of the main branches of algebraic topology. The principal topics are as follows:

- Basic Homotopy;
- H-spaces and co-H-spaces;
- Fibrations and Cofibrations;
- Exact sequences of homotopy sets, actions, and coactions;
- Homotopy pushouts and pullbacks;
- Classical theorems, including those of Serre, Hurewicz, Blakers-Massey, and Whitehead;
- Homotopy Sets;
- Homotopy and homology decompositions of spaces and maps; and
- Obstruction theory.

The underlying theme of the entire...

Quantum field theory, which started with Paul Dirac's work shortly after the discovery of quantum mechanics, has produced an impressive and important array of results. Quantum electrodynamics, with its extremely accurate and well-tested predictions, and the standard model of electroweak and chromodynamic (nuclear) forces are examples of successful theories. Field theory has also been applied to a variety of phenomena in condensed matter physics, including superconductivity, superfluidity and the quantum Hall effect. The concept of the renormalization group has given us a new perspective on...

Homology is a powerful tool used by mathematicians to study the properties of spaces and maps that are insensitive to small perturbations. This book uses a computer to develop a combinatorial computational approach to the subject. The core of the book deals with homology theory and its computation. Following this is a section containing extensions to further developments in algebraic topology, applications to computational dynamics, and applications to image processing. Included are exercises and software that can be used to compute homology groups and maps. The book will appeal to...

This book presents a guide to the extensive literature on the topic of semirings and includes a complete bibliography. It serves as a complement to the existing monographs and a point of reference to researchers and students on this topic. The literature on semirings has evolved over many years, in a variety of languages, by authors representing different schools of mathematics and working in various related fields. Recently, semiring theory has experienced rapid development, although publications are widely scattered. This survey also covers those newly emerged areas of semiring...

This volume presents the Proceedings of the Tenth International Conference on Fibonacci Numbers and their Applications, held in June 2002 in Flagstaff, Arizona. It contains research papers on the Fibonacci Numbers and their generalizations. All papers were carefully refereed for content and originality. The authors represent eight different countries.

This volume will be of interest to graduate students and research mathematicians, whose work involves number theory, combinatorics, algebraic number theory, finite geometry and special functions.