Download or read book Graduate Textbook of Mathematics: Smarandache Multi-Space Theory (second edition) written by Linfan Mao and published by Infinite Study. This book was released on 2011-01-01 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Smarandache multi-space is a union of n different spaces equippedwith different structures for an integer n 2, which can be used for systems both innature or human beings. This textbook introduces Smarandache multi-spaces such asthose of algebraic multi-spaces, including graph multi-spaces, multi-groups, multi-rings,multi-fields, vector multi-spaces, geometrical multi-spaces, particularly map geometrywith or without boundary, pseudo-Euclidean geometry on Rn, combinatorial Euclideanspaces, combinatorial manifolds, topological groups and topological multi-groups, combinatorialmetric spaces, ¿ ¿ ¿, etc. and applications of Smarandache multi-spaces, particularlyto physics, economy and epidemiology. In fact, Smarandache multi-spacesunderlying graphs are an important systematically notion for scientific research in 21stcentury. This book can be applicable for graduate students in combinatorics, topologicalgraphs, Smarandache geometry, physics and macro-economy as a textbook.