Stats for nerds
3recommend
10mentions
3people
2015–2023years
100% recommend
Mentions per year
What Hacker News says
- "A Course of Higher Mathematics" - Smirnov
"Differential and Integral Calculus" - Piskunov
"Problems in Mathematical Analysis" - Demidovich (exercises/problems)
- - "Differential and Integral Calculus", Piskunov.
- "A Course of Higher Mathematics", Smirnov. This one could be a bit expensive, but if you find yourself in a country that has had 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,
- Differential and Integral Calculus (Volumes 1 & 2) – Nikolai Piskunov
Not as colorful and attractive but the adage "do not judge a book by its cover" applies so well to this masterpiece. With brief and precise explanations and high quality exercises with solutions, I went from struggling to getting A+
- - "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, in 7 books). Piskunov's book is in-between (course and exercises).
These are the books we've used and went to during the first two years of Engineering (all engineers civil/mechanical/electrical/etc. and phys/maths/chem students go through the maths/phys/chem heavy common core except CS/SE students).
- - "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 these in university themselves. Smirnov takes you from the "concept of number" into the deep. Piskunov is cool and full of examples, including operational calculus and probability theory. Demidovich is a problems book to exercise your hand.
They are concise and to the point. Smirnov's has five volumes across seven books, though, but they're concise (density of information is high).
These books have examples from physics as well. For instance, I didn't understand enthalpy from my physics course until I read about continuity in Smirnov's book as he masterfully gave an example of discontinuity using enthalpy (phases of water).
- For reference "Differential & Integral Calculus" by N Piskunov (Two volumes) [ https://www.amazon.in/Differential-Integral-Calculus-Vol-Pis... ] are very dear to me and have taught me quite a lot.
They are good enough that with a companion algebra book, one can self learn Calculus to quite an advanced level.
Related
2014–2023
Problems in Mathematical Analysis
3 recommend · 11
Mathematics
12 recommend · 16
Calculus
88 recommend · 175
An Illustrative Guide to Multivariable and Vector Calculus
2 recommend · 2
Calculus on manifolds
22 recommend · 65
A Visual Introduction to Differential Forms and Calculus on Manifolds
3 recommend · 3
