Ebook Modern algebra with applications

In Chapter 2 we discuss boolean algebras and their application to switchingcircuits. These provide a good example of algebraic structures whose elementsare nonnumerical. However, many instructors may prefer to postpone or omit thischapter and start with the group theory in Chapters 3 and 4. Groups are viewedas describing symmetries in nature and inmathematics. In keeping with this view,the rotation groups of the regular solids are investigated in Chapter 5. This material provides a good starting point for students interested in applying group theoryto physics and chemistry;...