By **Samuel Belko**, published on November 7, 2023.

There are many math books out there, but some of them are truly impressive works. In this post, I would like to share a list of those that I personally admire for their consistency, attention to detail, surprising remarks and overall clarity of thought.

I noticed that usually textbooks in 3th, 4th or later editions are pretty good candidates for being outstanding theory expositions.

My list is of course biased by my own interests. I don't claim to have read every book cover to cover, but with each one I spend enough many hours to know it definitely should be mentioned here.

There are some good candidates that I omit for now, but I might add them later once I have a more complete impression of them.

**A list of outstanding theory books:**

*Convex Optimization.*Stephen Boyd and Lieven Vandenberghe. 2004.*Probability theory–a comprehensive course.*Achim Klenke. Third Edition. 2020.*Combinatorial optimization. Polyhedra and efficiency.*Alexander Schrijver. 2003*Integer programming.*Michele Conforti, Gérard Cornuéjols, Giacomo Zambelli. 2014.

Some interesting & non-standard problems can be found in:

*Mathematical tapas. Vol. 1 (for undergraduates).*Jean-Baptiste Hiriart-Urruty. 2016.*Mathematical tapas. Vol. 2 (from undergraduate to graduate level)*Jean-Baptiste Hiriart-Urruty. 2017.

CC BY-SA 4.0 Samuel Belko. Last modified: May 29, 2024.
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