
The elements of integration and Lebesgue measure
by Robert Gardner Bartle · first published 1995
4mentions
1recommended by
3HN commenters
2010–2023first – last mentioned
33% recommend67% neutral
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When I was in graduate school, An Introduction to Manifolds by Loring Tu and The Elements of Integration and Lebesgue Measure Robert G. Bartle, neither one used by courses, helped me immensely when studying for the qualifying exams in the respective subjects. They provided so much clarity over Lee and Royden (if you know, you…
on “Ask HN: Do you recall any book or course that made a topic finally click?” ↗While I have a ton of favorite math books, the two books that I felt really helped me the relevant subject are: * An Introduction to Manifolds by Loring Tu * The Elements of Integration and Lebesgue Measure by Robert G. Bartle. These two books were instrumental to my studying for my qualifying exams.
on “Ask HN: Math books that made you significantly better at math?” ↗…groups and polynomials. All these books require an hour per page, but they lay it all out for you if you work for it. These are definitely undergrad books, but that is their beauty. Bartle also has "Elements of integration and lebesgue measure" -- I bet it is great, but I haven't used it. And if you find a good probability book, please post the title ;)
on “Ask HN: Learning advanced math” ↗…to Multivariate Statistical Analysis, Anderson [2] Convex Analysis and Monotone Operator Theory in Hilbert Spaces, Bauschke-Combettes [3] Theory of Multivariate Statistics, Bilodeau-Brenner [4] The Elements of Integration and Lebesgue Measure, Bartle [5] Probability: Theory and Examples, Durrett
on “The Modern Mathematics of Deep Learning” ↗