**Solutions: A Taste of Pure Mathematics**

**Chapter 1 Logic and Proofs**

Section 1.2; Conditional and Biconditional Connectives

Section 1.4; Mathematical Proofs

Section 1.5; Proofs in Predicate Logic

Section 1.6; Proof by Mathematical Induction

**Chapter 2 Sets and Combinatorics**

Section 2.1; Basic Operations of Sets

Section 2.3; Counting: The Art of Enumeration

Section 2.4; Countable Infinity

Section 2.6; Larger Infinities and the ZFC Axioms

**Chapter 3 Relations**

Section 3.3; Equivalence Relations

Section 3.4; The Function Relation

Section 3.5; Image and Inverse Image of a Set

**Chapter 4: Real and Complex Number Systems**

Section 4.1; Construction of the Real Numbers

Section 4.2; The Complete Ordered Field: The Real Numbers

##### Chapter 5 Topology

Section 5.1; Introduction to Graph Theory

Section 5.3; Some General Ideas of Topology

Section 5.4; Point Set Topology on the Real Line

**Chapter 6 Algebra**

Section 6.1; Symmetries and Algebraic Systems

Section 6.2; Introduction to the Algebraic Group

Section 6.3; Groups of Permutations: The Symmetric Group

Section 6.4; Subgroups : Groups Inside a Group