This introductory textbook covers important mathematical concepts, including the language of mathematics sequences and series, limits and continuity, and a brief introduction to metric spaces.

FOUNDATIONS
L.The language of Mathematics
R.Real Numbers and Real Functions
P.Positive Integers and Mathematical
C.Cardinal Equivalence
REAL ANALYSIS
1.Completeness of R
2.Sequences and Series
3.Limits and Continnity
4.Concepts of Calculus
5.Sequences and Series of Functions
6.A Brief Introductions to Metric Spaces

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