Introduction to analysis
by Maxwell Rosenlicht · first published 1968
100% recommend
Why HN recommends it
Compact, proof-based introduction to real analysis suited to self-study and to students moving into rigorous math. Its style is clear and mathematical, and it is small enough to work through completely.
Summarised by Claude from recommending comments
Affiliate links. As an Amazon Associate I earn from qualifying purchases.
Mentions per year
What Hacker News says
Related books
2010–2024Real Mathematical Analysis
Charles Chapman Pugh
Recommended by 8 · mentioned by 98 recommend · 9 mention8 recommend · 98 recommend
2009–2025Naive Set Theory
Paul R. Halmos
Recommended by 29 · mentioned by 3529 recommend · 35 mention29 recommend · 3529 recommend
2009–2025The Princeton Companion to Mathematics
Timothy Gowers
Recommended by 62 · mentioned by 8362 recommend · 83 mention62 recommend · 8362 recommend
2007–2026How to prove it
Daniel J. Velleman
Recommended by 78 · mentioned by 10478 recommend · 104 mention78 recommend · 10478 recommend
2008–2026Calculus Made Easy
Silvanus Phillips Thompson
Recommended by 81 · mentioned by 13581 recommend · 135 mention81 recommend · 13581 recommend
2008–2026Calculus
Michael Spivak
Recommended by 88 · mentioned by 13088 recommend · 130 mention88 recommend · 13088 recommend
2008–2026Linear Algebra Done Right
Sheldon Jay Axler
Recommended by 130 · mentioned by 179130 recommend · 179 mention130 recommend · 179130 recommend
2007–2026Concrete mathematics
Ronald L. Graham, Donald Knuth, Oren Patashnik
Recommended by 140 · mentioned by 215140 recommend · 215 mention140 recommend · 215140 recommend
…you're sure the answer is right -- in grad school problem sets didn't have answers you could check, and full understanding was necessary to get the problem sets correct. For me, a watershed book was Introduction to Analysis by Rosenlicht [1]. Proof-based, very "mathy", small and compact (so to speak) but with a massive scope. A great introduction to a really important topic, and it'll put your brain through its paces. Again,…
on “Ask HN: Math books that made you significantly better at math?” ↗…Naive Set Theory (Paul Halmos) Linear Algebra 1. Finite-Dimensional Vector Space (Paul Halmos) 2. Linear Algebra Done Right (Steven Axler) Real Analysis 1. Real Mathematical Analysis (Charles Pugh) 2. Introduction to Analysis (Maxwell Rosenlicht) Algebra 1. A first course in abstract algebra (John Fraleigh) These books are better for self-directed reading compared to some of the classics like Rudin or Herstein. These should…
on “Ask HN: Good Reading/Immersion in Mathematics” ↗