Contents: 1. GROUPS AND SUBGROUPS 2. PERMUTATIONS, COSETS, AND DIRECT PRODUCTS 3. HOMOMORPHISMS AND FACTOR GROUPS 4. RINGS AND FIELDS 5. IDEALS AND FACTOR RINGS 6. EXTENSION FIELDS 7. ADVANCED GROUP THEORY 8. GROUPS IN TOPOLOGY 9. FACTORYZATION 10. AUTOMORPHISMS AND GALOIS THEORY
Contents: 1. REAL NUMBERS AND THEIR BASIC PROPERTIES Real Numbers and Their Graphs. Fractions. Exponents and Order of Operations. Adding and Subtracting Real Numbers. Multiplying and Dividing Real Numbers. Algebraic Expressions. Properties of Real Numbers. 2. EQUATIONS AND INEQUALITIES Solving Basic Linear Equations in One Variable. Solving More Linear Equations in One Varia…