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Reference and Selective Reading

You do not need to read the source books front-to-back for this module. Use the concept and practice pages first. Open these local book chunks only when you need the original textbook framing, more worked examples, or a deeper exercise lane.

Source Roles​

SourceRoleWhy it is here
Mathematics for Computer SciencePrimary teaching sourceBest match for proof templates, quantified logic, sets, functions, and induction with computer-science flavor
Discrete Mathematics and Its ApplicationsSelective support and exercise sourceStronger catalog of definitions, alternate examples, and more exercise volume for relations and proof practice

Read Only If Stuck​

Logic and Quantifiers​

Proof Construction​

Sets, Functions, and Relations​

Equivalence and Order​

Induction and Recursion​

Optional Deep Dive​

Concept-to-Source Map​

Primary conceptBest source if stuckWhy this source
Propositions, implication, and equivalenceMCS: Propositions from PropositionsCleanest short entry into proposition shape and connective behavior
Proof strategy starts from theorem shapeMCS: Proving an ImplicationGives direct operational proof templates
Sets are models, not just containersMCS: SetsBest concise source for membership, subset, and equality reasoning
Functions are behavior on a domainMCS: FunctionsStrong on domain, codomain, support, image, and range
Relation properties and compositionRosen: Relations and Their PropertiesClear catalog of reflexive, symmetric, antisymmetric, and transitive tests
Ordinary induction is sequential closureMCS: Ordinary InductionBest template-focused induction explanation
Recursive definitions and structural inductionMCS: Recursive Definitions and Structural InductionBest bridge between recursive objects and proof structure