Found 13 comments on HN

whitepoplar · 2019-01-18 · Original thread

This book is fantastic and pretty much takes you through an entire undergrad mathematics course: https://www.amazon.com/Mathematics-Content-Methods-Meaning-V...

synthmeat · 2018-03-11 · Original thread

I’m going to go with a few assumptions here:

a) You don’t do this full time.

b) By “bottoms up” you just mean “with firm grasp on fundamentals”, not logic/set/category/type theory approach.

c) You are skilled with programming/software in general.

In a way, you’re ahead of math peers in that you don’t need to do a lot of problems by hand, and can develop intuition much faster through many software tools available. Even charting simple tables goes a long way.

Another thing you have going for yourself is - you can basically skip high school math and jump right in for the good stuff.

I’d recommend getting great and cheap russian recap of mathematics up to 60s [1] and a modern coverage of the field in relatively light essay form [2].

Just skimming these will broaden your mathematical horizons to the point where you’re going to start recognizing more and more real-life math problems in your daily life which will, in return, incite you to dig further into aspects and resources of what is absolutely huge and beautiful landscape of mathematics.

[1] https://www.amazon.com/Mathematics-Content-Methods-Meaning-V...

[2] https://www.amazon.com/Princeton-Companion-Mathematics-Timot...

hyporthogon · 2017-03-06 · Original thread

This is awesome, thanks.

Obligatory 'zoomout' recommendation: https://www.amazon.com/Mathematics-Content-Methods-Meaning-V..., which I learned about from HN (http://hackernewsbooks.com/book/mathematics-its-content-meth...). Wish I had read/pondered this before grad math classes.

whitepoplar · 2016-11-30 · Original thread

This book is *fantastic* and should get you pretty far: https://www.amazon.com/Mathematics-Content-Methods-Meaning-V...

dpflan · 2015-09-20 · Original thread

This is always a good topic with numerous HN submissions and comments:

Just from a search, there are some great results:

1. *Mathematics for Computer Science* - HN Submissions: https://news.ycombinator.com/item?id=9311752, https://news.ycombinator.com/item?id=3694448

2. *How to Read Mathematics* - HN Submissions: https://news.ycombinator.com/item?id=4030812, https://news.ycombinator.com/item?id=1576969

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Here are some other excellent mathematics books:

1. *Mathematics: Its Content, Methods and Meaning*

Containing the thoughts and direction of numerous mathematicians including Kolmogorov, this is a great survey of the field of mathematics. It touches upon Analysis, Analytic Geometry, Probability, Linear Algebra, Topology, and more. [1.]

2. *Concrete Mathematics: A Foundation for Computer Science*

Containing the thoughts and direction of mathematician and computer scientists such as Donald Knuth, this is a great reference for computer science related mathematical concepts focusing on continuous and discrete concepts. [2.]

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[1.] http://www.amazon.com/Mathematics-Content-Methods-Meaning-Do...

[2.] http://www.amazon.com/Concrete-Mathematics-Foundation-Comput...

nabla9 · 2015-02-04 · Original thread

Usually good books travel from English speaking world to other languages as translations.

One of the masterpieces that has gone the opposite direction is:

Mathematics: Its Content, Methods and Meaning (three volumes bound as one) by A. D. Aleksandrov, A. N. Kolmogorov, M. A. Lavrent'ev (18 authors total) http://www.amazon.com/Mathematics-Content-Methods-Meaning-Do...

This book is really good companion for autodidacts. It's basically overview of mathematics.

wallflower · 2014-12-28 · Original thread

This isn't a course but this book has been consistently word-of-mouth recommended as a comprehensive survey of undergraduate mathematics.

http://www.amazon.com/Mathematics-Content-Methods-Meaning-Do...

brandonmenc · 2014-12-04 · Original thread

Mathematics: Its Content, Methods and Meaning by Aleksandrov, Kolmogorov, and Lavrent'ev

http://www.amazon.com/Mathematics-Content-Methods-Meaning-Do...

Covers something like three years of an undergraduate degree in mathematics. Lots of words - but that text is used to develop an understanding of the concepts and images. Considered a masterpiece. An enjoyable read.

ivan_ah · 2014-10-03 · Original thread

I've looked at a bunch of these math compendiums while researching what to include in my book, and this one seemed the best so far: http://www.amazon.com/Mathematics-Content-Methods-Meaning-Do... The writing isn't very hand-holdy, but it covers a lot of important topics, and without too much fluff.

For a more "math for general culture" I'd recommend this one: http://www.amazon.ca/Mathematics-1001-Absolutely-Everything-... which covers a lot of fundamental topics in an intuitive manner.

I have both books on the shelf, but not finished reading through all of them so I can't give my full endorsement, but from what I've seen so far, they're good stuff.

fensterbrett · 2014-09-02 · Original thread

http://www.amazon.com/Mathematics-Content-Methods-Meaning-Do...

oskarth · 2014-04-12 · Original thread

Not the same type of book, but you could do a lot worse than reading through *Mathematics: Its Content, Methods and Meaning*, by M. A. Lavrent’ev, A. D. Aleksandrov, A. N. Kolmogorov. It's an amazing book which gives a mathematical (but not rigorous in the sense of proofs etc.) overview of most of mathematics.

http://www.amazon.com/Mathematics-Content-Methods-Meaning-Do...

nabla9 · 2013-12-28 · Original thread

May I present one of the greatest math books for general audience: Mathematics: Its Content, Methods and Meaning by A. D. Aleksandrov, A. N. Kolmogorov, M. A. Lavrent’ev.

http://www.amazon.com/Mathematics-Its-Content-Methods-Meanin...

Math books rarely move from the Soviet Union to west, but this did and for really good reason. Just look at the list of writers included. So far I have not seen any math books that come even close to this. Reading this book together with the The Princeton Companion to Mathematics was real treat.

programnature · 2008-12-22 · Original thread

This book looks awesome. Mathematics is so vast that as a student its hard to know what classes you should take, or even what the map of the territory looks like. That is one of the reasons I got frustrated with my pure math BS.

The Russian school put out some pretty massive volumes, like

http://www.amazon.com/Mathematics-Its-Content-Methods-Meanin...

but I found those to be a little too caught up in the proposition/proof cycle to be useful as a guide to the uninitiated.