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1. LOGIC. Introduction and Terminology. Statements and Truth Tables. Logical Equivalence and Logical Deductions. The Contrapositive, Negation, and Converse of an Implication Statement. Quantifiers. 2. PROOF WRITING. Terminology and Goals. Existence Proofs and Counterexamples. Direct Proofs ("If, then" or "For every" Statements). Using Cases in Proofs. Contrapositive Arguments. Contradiction Arguments. Putting it All Together. Regular Induction. Induction with Inequalities. Recursion and Extended Induction. Uniqueness Proofs, the WOP, and a Proof of the Division. Algorithm. 3. SETS, RELATIONS, AND FUNCTIONS. Sets. Set Operations. Set Theory. Indexed Families of Sets. Cartesian Products. Relations. Functions. Composition of Functions. Cardinality.
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Add Introduction to Advanced Mathematics: How to Solve Proofs, This text offers a crucial primer on proofs and the language of mathematics. Brief and to the point, it lays out the fundamental ideas of abstract mathematics and proof techniques that students will need to master for other math courses. Campbell presents, Introduction to Advanced Mathematics: How to Solve Proofs to the inventory that you are selling on WonderClubX
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Add Introduction to Advanced Mathematics: How to Solve Proofs, This text offers a crucial primer on proofs and the language of mathematics. Brief and to the point, it lays out the fundamental ideas of abstract mathematics and proof techniques that students will need to master for other math courses. Campbell presents, Introduction to Advanced Mathematics: How to Solve Proofs to your collection on WonderClub |