This Textbook is designed for students.
The author believes most textbooks are extremely overpriced and endeavors to help change this.
Hints and solutions to select exercises can be found at LongFormMath.com..
The first appendix contains a construction the reals, and the second is a collection of additional peculiar and pathological examples from analysis.
Each chapter ends with exercises, and nearly all include some open questions.
The text covers the Real numbers, cardinality, sequences, series, the topology of the reals, continuity, differentiation, integration, and sequences and series of functions.
The writing is relaxed and includes interesting historical notes, periodic attempts at humor, and occasional diversions into other interesting areas of mathematics.
The text also aims to make the ideas visible, and contains over 200 illustrations.
Examples often drive the narrative and challenge the intuition of the reader.
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.
The proofs are not terse, and aim for understanding over economy.
Rather than the typical definition-theorem-proof-repeat style, this text includes much more commentary, motivation and explanation.
This Textbook is designed for students
