PirateBay Download | grossman i magnus w groups graphs 1992

grossman i magnus w groups graphs 1992

Type:: E-books
Files:: 1
Size:: 7.7 MB
Uploaded On:: May 26, 2022, 8:25 a.m.
Added By:: andryold1
Seeders:: 1
Leechers:: 0
Info Hash:: 37533DA627B5D3A6BFA4787D7A134F223B6EBC56

Textbook in PDF format A student in the primary or secondary schools frequently has the notion that mathematics is concerned solely with number and measure. However, mathematics has always been much more than merely a quantitative science with applications to activities such as bookkeeping and money-changing; it is deeply concerned with logic and structure. The theory of groups is one of the important non-quantitative branches of mathematics. The concept of a group, although comparatively recent in the development of mathematics, has been most fruitful; for example, it has been a powerful tool in the investigation of algebraic equations, of geometric transformations, and of problems in topology and number theory. Two features of group theory have traditionally made it advisable to postpone its study until rather late in a student’s mathematical education. First, a high degree of abstractness is inherent in group theoretical ideas, and ability to cope with abstract concepts comes with mathematical maturity. Second, the ways in which group theory interacts with other fields of study to illuminate and advance them can be seen only after long and elaborate development of the theory, and then only by students acquainted with the other fields. In this book we have aimed at a presentation suitable for students at a relatively early stage of mathematical growth. To bypass the difficulties stemming from abstractness, we have used geometric pictures of groups-graphs of groups. In this way, abstract groups are made concrete in visual patterns that correspond to group structure. However, we cannot hope to provide a substitute for the prolonged reading and study necessary to grasp the concepts of varied mathematical fields of inquiry. We have tried to make the best of this situation by indicating the broader significance of some of the theorems and concepts presented. We acknowledge that we cannot always motivate the reader with “practical” applications. Ultimately, we have to rely on the appeal of the mathematical content in and of itself. Of course, the most effective spur comes from the reader himself; this has to be his contribution. Preface Introduction to Groups Group Axioms Examples of Groups Multiplication Table of a Group Generators of a Group Graph of a Group Definition of a Group by Generators and Relations Subgroups Mappings Permutation Groups Normal Subgroups The Quaternion Group Symmetric and Alternating Groups Path Groups Groups and Wallpaper Designs Appendix: Group of the Dodecahedron and the Icosahedron Solutions Bibliography Index

Get This Torrent

Grossman I., Magnus W. Groups and Their Graphs 1992.pdf 7.7 MB

Details for: Grossman I., Magnus W. Groups and Their Graphs 1992

grossman i magnus w groups graphs 1992

Similar Posts: