Relational Topology

Nonfiction, Science & Nature, Mathematics, Topology, Logic
Cover of the book Relational Topology by Gunther Schmidt, Michael Winter, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Gunther Schmidt, Michael Winter ISBN: 9783319744513
Publisher: Springer International Publishing Publication: May 31, 2018
Imprint: Springer Language: English
Author: Gunther Schmidt, Michael Winter
ISBN: 9783319744513
Publisher: Springer International Publishing
Publication: May 31, 2018
Imprint: Springer
Language: English

This book introduces and develops new algebraic methods to work with relations, often conceived as Boolean matrices, and applies them to topology. Although these objects mirror the matrices that appear throughout mathematics, numerics, statistics, engineering, and elsewhere, the methods used to work with them are much less well known. In addition to their purely topological applications, the volume also details how the techniques may be successfully applied to spatial reasoning and to logics of computer science.

Topologists will find several familiar concepts presented in a concise and algebraically manipulable form which is far more condensed than usual, but visualized via represented relations and thus readily graspable. This approach also offers the possibility of handling topological problems using proof assistants.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book introduces and develops new algebraic methods to work with relations, often conceived as Boolean matrices, and applies them to topology. Although these objects mirror the matrices that appear throughout mathematics, numerics, statistics, engineering, and elsewhere, the methods used to work with them are much less well known. In addition to their purely topological applications, the volume also details how the techniques may be successfully applied to spatial reasoning and to logics of computer science.

Topologists will find several familiar concepts presented in a concise and algebraically manipulable form which is far more condensed than usual, but visualized via represented relations and thus readily graspable. This approach also offers the possibility of handling topological problems using proof assistants.

More books from Springer International Publishing

Cover of the book Contemporary Bohemia: A Case Study of an Artistic Community in Philadelphia by Gunther Schmidt, Michael Winter
Cover of the book Nuclear Decommissioning by Gunther Schmidt, Michael Winter
Cover of the book Mechanics and Mathematics of Fluids of the Differential Type by Gunther Schmidt, Michael Winter
Cover of the book Paradigms and Theories Influencing Policies in the South African and International Water Sectors by Gunther Schmidt, Michael Winter
Cover of the book Algorithms for Computational Biology by Gunther Schmidt, Michael Winter
Cover of the book Set-Theoretic Methods in Control by Gunther Schmidt, Michael Winter
Cover of the book Flowering Plants. Monocots by Gunther Schmidt, Michael Winter
Cover of the book Research and Advanced Technology for Digital Libraries by Gunther Schmidt, Michael Winter
Cover of the book Glutathione in Plant Growth, Development, and Stress Tolerance by Gunther Schmidt, Michael Winter
Cover of the book Cyclostationarity: Theory and Methods – IV by Gunther Schmidt, Michael Winter
Cover of the book Approximation with Positive Linear Operators and Linear Combinations by Gunther Schmidt, Michael Winter
Cover of the book Learning from the Slums for the Development of Emerging Cities by Gunther Schmidt, Michael Winter
Cover of the book Languages, Design Methods, and Tools for Electronic System Design by Gunther Schmidt, Michael Winter
Cover of the book Brain-Computer Interface Research by Gunther Schmidt, Michael Winter
Cover of the book Valuing Chaparral by Gunther Schmidt, Michael Winter
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy