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Looking for a book on mathematical astronomy

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#1 jupi10

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Posted 29 September 2019 - 08:45 AM

Hi guys,

 

I went to a highschool with strong mathematics, but having studied social science at university became very rusty and forgot most of it.

 

I am now looking to refresh my knowledge of mathematics (and also possibly a bit of physics) and progress further.

 

My idea is that I would like to do so with examples and applications through my hobby, which is astronomy.

 

So, ideally, I am looking for book reccomendations that teach introductory college-level maths through astronomy.

 

Any ideas?

 

Many thanks!



#2 Brett Waller

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Posted 29 September 2019 - 08:56 AM

What do you mean by introductory college-level maths? In most cases these days, that means basic algebra.  So, where do you want to start?  Algebra, trigonometry, analytical geometry, calculus, differential equations??

 

You might want to take a look at Australian National University's four course cosmology program on EdX.


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#3 lee14

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Posted 29 September 2019 - 09:28 AM

Take your pick:

 

https://www.google.c...0&bih=734&dpr=2

 

Lee


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#4 llanitedave

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Posted 29 September 2019 - 10:32 AM

If you feel weak on calculus or algebra, better than a book is the best You Tube instructional series on math I have ever encountered, bar none.

 

Professor Leonard

 

 

He's an instructor at a community college, and videos his regular classes, with annotations and additions as necessary.  I really, really wish I'd had him for an instructor when I was in college.  He really makes the concepts clear, and his examples are right on the money.


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#5 TOMDEY

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Posted 29 September 2019 - 10:36 AM

Hi, jupi10; yes indeed... can never ~have enough~ math! "Use it or lose it."

 

Depending on how much time and effort you want to dedicate to this... just revisiting any/all of your old plain math texts can work wonders. And the astronomy and physics texts, in parallel. I often read my old undergrad and grad texts again... cover to cover... amazing how fast that refresher exercise progresses. Enough iterations and can knock off one refresher a week.

 

I went further, and audited many courses at my old Alma Mater (U or Rochester, NY). For token fee and professors' OK, alumni are allowed to sit in, participate, do homeworks, tests, etc. Just not for (unneeded!) credit.

 

Then, I rematriculated and went ahead and actually earned another grad degree --- in math! Just a few semesters (three) part-time does it. [The GI Bill and my employer (aerospace) covered tuition... completely! Even allowed me to attend day classes and float my work schedule to compensate.]

 

On point --- I'm not aware of any books that specifically teach math through astronomy examples.    Tom


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#6 beggarly

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Posted 29 September 2019 - 01:21 PM

How about this? https://openstax.org/subjects



#7 Keith Rivich

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Posted 29 September 2019 - 04:27 PM

Look up Jean Meeus “Astronomical Algorithms”. 

 

Probably the best astromath book one can find. 


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#8 Brett Waller

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Posted 29 September 2019 - 04:50 PM

These are a good introduction if you are interested in a great understanding of astronomy along with some appreciation of the mathematics involved:

 

https://www.amazon.c...9793230&sr=8-15

 

 

https://www.amazon.c...RX0VC1PJJP4ZGDQ

 

 

https://www.amazon.c...69793230&sr=8-4

 

 

Brett



#9 rkayakr

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Posted 29 September 2019 - 07:28 PM

I greatly enjoyed "Calculating the Cosmos: How Mathematics Unveils the Universe".




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