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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",
by Jugurtha 10y ago
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 (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.
- Koshkin 10y agoThese may be (and in fact they are) excellent books, but they do not necessarily answer the needs of a designer (rather, an engineer), nor they may be suitable for people why are just learning elementary geometry and trigonometry. Also, there are topics in mathematics that may be more relevant to a software engineer or a designer, such as algebra (in general, and linear algebra in particular).
- nikki93 10y agoIn my experience yes, linear algebra, graph theory, a little topology, category theory are pretty good. If you do raymarching rendering of scalar distance fields, a new form of rendering I'm currently interested in, there are forms of math different from traditional forward rendering that gives you superpowers: http://iquilezles.org/www/articles/distfunctions/distfunctions.htm http://iquilezles.org/www/articles/distfunctions/distfunctio...
- Chris2048 10y ago> Demidovich's book is a collection of more than 3000 exercises As great as practice is wrt math, that there are over 3k is not attractive to me. I'd sooner a single difficult climb, than many small steps.
- Chris2048 10y agoThis book?: https://www.amazon.com/Course-Higher-Mathematics-Adiwes-International/dp/1483169278 https://www.amazon.com/Course-Higher-Mathematics-Adiwes-Inte... Yikes, nearly $100
- Jugurtha 10y agoChris, are you familiar with Soviet books? If not: I urge you to consider taking a look at these (library, maybe) to get a taste. Side note: the first few pages of Landau & Lifschitz (vol I) made me cry and feel weak in the knees so much that I had to sit down. I'm being literal in my description: tears in my eyes, and unable to stand. I don't know what these guys did, but they certainly did something right. mirtitles.org offers a collection of such books. You could also look on archive.org. "MIR Publishers" is the name you're looking for.