In algebra the topics covered generally included operations with literal expressions, the solving of both linear and quadratic equations, the use of these techniques to find answers to problems, and practice with ratios, proportions, powers, and roots. Algebraic topology is a branch of mathematics which uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism, though usually most classify up to homotopy equivalence. This book examines this topic.
It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook.
H. Hasse, Uber die Normenreste eines relativ-zyklischen Körpers vom Primzahlgrad l nach Einem Primteiler [ von l, Math. Ann. 90 (1923), 262-278. H. Hasse, Das allgemeine Reziprozitätsgesetz ...
The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other ...
The publisher’s hope is that this book, slightly revised and in a convenient format, will serve the needs of readers, be it for study, teaching, exploration, work, or research.
This book arose from courses taught by the authors, and is designed for both instructional and reference use during and after a first course in algebraic topology.
The publisher’s hope is that this book, slightly revised and in a convenient format, will serve the needs of readers, be it for study, teaching, exploration, work, or research.
This handbook offers a compilation of techniques and results in K-theory. These two volumes consist of chapters, each of which is dedicated to a specific topic and is written by a leading expert.
References [ABCD] S. Ageshin, I. Beylin, B. Cadish and Z. Diskin, Outline of AGO: Algebraic graph-oriented approach to ... Importance of universal algebra for computer science, Universal Algebra and Links with Logic, Algebra, ...
We have tried to design this book for both instructional and reference use, during and after a first course in algebraic topology aimed at users rather than developers; indeed, the book arose from such courses taught by the authors.
This book outlines a vast array of techniques and methods regarding model categories, without focussing on the intricacies of the proofs.