This textbook is designed for students.  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 u...

Buy Now From Amazon

Product Review

This textbook is designed for students.  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.  The text also aims to make the ideas visible, and contains over 100 illustrations.  The writing is relaxed and includes periodic historical notes, poor attempts at humor, and occasional diversions into other interesting areas of mathematics.  The text covers the real numbers, cardinality, sequences, series, the topology of the reals, continuity, differentiation, integration, and sequences and series of functions.  Each chapter ends with exercises, and nearly all include some open questions.  The first appendix contains a construction the reals, and the second is a collection of additional peculiar and pathological examples from analysis.  The author believes most textbooks are extremely overpriced and endeavors to help change this.


Similar Products

Abstract Algebra: A Student-Friendly ApproachPure Mathematics for Beginners: A Rigorous Introduction to Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear AlgebraA Primer on Real AnalysisA Complete Solution Guide to Principles of Mathematical AnalysisAlice and Bob Meet the Wall of Fire: The Biggest Ideas in Science from Quanta (The MIT Press)Book of ProofLinear Algebra Done Right (Undergraduate Texts in Mathematics)Principles of Mathematical AnalysisElements of Modern AlgebraTopology