Problems in Mathematical Analysis
by Boris Demidovich · first published 1969
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If you're still on your quest (as I am), may I suggest a few books: - "A Course of Higher Mathematics", V. I. Smirnov. - "Differential and Integral Calculus", N. Piskunov. - "Problems in Mathematical Analysis", B. Demidovich. These are amazing, great, books. Demidovich's book is a collection of more than 3000 exercises. Smirnov's book is a course that takes you from what a value means, to advanced topics…
on “A story of a designer learning math” ↗You can check out https://mirtitles.org for books from MIR Publishers. These are amazing books. For analysis, you can check out: - "Problems in Mathematical Analysis" - Demidovich - "Differential and Integral Calculus" - Piskunov - "A Course of Higher Mathematics" - Smirnov Excellent books. [Link edited as I posted in a hurry. Thank you, sedeki]
on “All the jobs I failed to get” ↗- "A Course of Higher Mathematics", V. I. Smirnov. - "Differential and Integral Calculus", N. Piskunov. - "Problems in Mathematical Analysis", B. Demidovich. These are great books. Demidovich's book is a collection of more than 3000 exercises. Smirnov's book is a course that takes you from what a value means, to advanced topics (5 volumes,…
on “Ask HN: Serious mathematics books that can replace a good teacher?” ↗…that you can either learn it all, or none. Most will go with none. Everyone will recommend their favorite books. I'll do the same: - Piskunov's "Differential and Integral Calculus". - Demidovich's "Problems in Mathematical Analysis". Piskunov for a course (concept, example. concept, example) and exercises. Demidovich for a quick review and about 3000 exercises. I personally prefer the Soviet style for Maths and Physics. They're…
on “Ask HN: How can I learn math?” ↗…books instead of deliberating on which books to read. My book recommendation include: - "A Course of Higher Mathematics" - V.I. Smirnov. - "Differential and Integral Calculus" - N. Piskunov. - "Problems in Mathematical Analysis" - Demidovich
on “Ask HN: Resources to learn real analysis?” ↗…Not sure about early education though. 1. Russian math books are straight to the point, superconcrete. Hard to read in a linear fashion but very useful when student is serious about going through it ("Problems in mathematical analysis" by Demidovich is a perfect example, Mark Vygodskiy's "Elementary Mathematics Reference"). 2. In most textbooks I remember nobody tries to build a dumbed down explanation of things. This might lead to…
on “American parents are sending their kids to 'Russian math' (2017)” ↗- "A Course of Higher Mathematics", VI Smirnov. - "Problems in Mathematical Analysis", Demidovich. - "Differential and Integral Calculus", Piskunov. That's what our courses in university followed (first and second year), but also high-school teachers were inspired by as they studied…
on “Ask HN: Relearning mathematics after high school?” ↗…good relations with the former Soviet Union, you might find it a a really affordable price because they had licenses to print these books, and generally speaking, the MIR Publishers, Moscow, books. - "Problems in Mathematical Analysis", Demidovich. - "Course of Theoretical Physics", Landau. - "Problems in General Physics", Irodov. You'll note that there are "course" books and "problem" books in there. All the best,
on “Ask HN: Great resources for university calculus/physics?” ↗"A Course of Higher Mathematics" - Smirnov "Differential and Integral Calculus" - Piskunov "Problems in Mathematical Analysis" - Demidovich (exercises/problems)
on “Ask HN: Can you suggest advanced books on integral calculation techniques?” ↗…lot: - Problems and Proofs in Real Analysis - Putnam and Beyond. I still suck at maths, but those well designed problems in Putnam really taught me how to seek insights in higher maths. - Piotr's Problems in Mathematical Analysis. But really, any problem books that challenge you will do. I'd recommend you find problem sets from the website of university courses. They cover essential techniques, and will not be as overwhelming…
on “Ask HN: Math books that made you significantly better at math?” ↗…are plenty of opportunities to use math every day. There is also a very effective way of learning: work on slightly harder than usual problems. When learning calculus, I started to work on Demidovich's Problems in Mathematical Analysis, and I thought it was hard. Then, I stumbled upon solution book for college math competitions. Man, that was a huge help. After working through the problems, a lot of concepts became clear to me, and…
on “How I Rewired My Brain to Become Fluent in Math” ↗