There are some great textbooks translated from Russian. Analysis by Kolmogorov, (rigorous) Linear Algebra by Shilov, Complex Analysis by Markushevich to name a few.
The book covers too much to be thorough. Each chapter gives good introduction to the subject matter and ends with list of suggested reading.
I always read the relevant parts from this book before going deeper. Not everyone is going to dwell into non-euclidean geometry, functional analysis and topology.
Furthermore, I don't think typical self studying engineer in Hacker News wants to learn math using rigorous introduction to analysis. You can get good working knowledge and intuition without knowing what delta epsilon is.
How to Think About Analysis by Lara Alcock.
Understanding Analysis by Stephen Abbot.
Mathematical Analysis and Proof by David Stirling.
Numbers and Functions: Steps into Analysis by Burn.
Analysis: With an Introduction to Proof by Steven Lay.
A First Course in Mathematical Analysis by David Brannan.