TY - GEN AU - Cummings,Jay TI - Real Analysis: A Long-Form Mathematics Textbook SN - 9781077254541 (PB) PY - 2019/// CY - Sacramento PB - LongFormMath.com KW - Mathematical analysis KW - Set Theory N1 - The reals Cardinality Sequences Series The topology of R Continuity Differentiation Integration Sequences and series of functions N2 - Rather than the typical definition-theorem-proof-repeat style, this text includes much more commentary, motivation and explanation. The proofs are not terse, and aim for understanding over economy. Furthermore, dozens of proofs are preceded by 'scratch work' or a proof sketch to give students a big-picture view and an explanation of how they would come up with it on their own. Examples often drive the narrative and challenge the intuition of the reader ER -