What are good textbooks to cover these topics? Sets: sets and their elements, finite and infinite...

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Advance Math

What are good textbooks to cover these topics?

Sets: sets and their elements, finite and infinite sets,operations on sets (unions, intersections and complements),relations between sets(inclusion, equivalence), non equivalentinfinite sets, cardinal numbers.

Binary Operations: basic definitions, associativitycommutativity, neutral elements, inverse elements, groups.

Functions: introduction, Cartesian products, functions assubsets of Cartesian products, graphs, composition of functions,injective, bijective and surjective functions, invertiblefunctions, arithmetic operations on real functions, groups offunctions.

Plane isometries: definition, reflections, translations androtations, compositions of reflections, congruent triangles andisometry, classification of the plane isometries, the group ofplane isometries, applications in Euclidean geometry.

Axiom systems: undefined terms, axioms and theorems of axiomaticmathematical theories, models, consistency, independence,completeness and categoricity of axiom systems, finite affinegeometries.

Euclidean geometry: historical notes, a modern representation ofEuclidean plane geometry as an axiomatic theory. The naturalnumbers: an introduction to peano's axioms,arithmetic operations,order relations, first steps in number theory, mathematicalinduction.

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The best books to study the given topics are follows Sets if you want to have a good and brief knowledge abouts sets then best book is Mathematics IX by RD Sharma Indian author this book has a chapter on sets if you want to study in depth about sets    See Answer
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