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I've worked in the health sciences for some time now.
If you really want to go through what I would consider minimal and sufficient for the work I do, I would recommend:
- Get through some Calc. I and II at minimum (e.g., Stewart's Calculus, chapters 1-8, maybe 11, maybe 14-15).
- Read through Wackerly, Mendenhall, and Scheaffer's Mathematical Statistics with Applications, 7th ed. (and I recommend the entire book)
If you want to pursue Casella and Berger after this, then give it a shot.
No problem. And Calculus really isn’t that bad if you can find a good book on it. This one by Stewart is easily the best. If you want to ignore the math part then, you might be able to get away with simply reading the Holton book for its concepts and ignoring the equations. Up to you.
Hi, definitely go for it, I had bought book Calculus by James Stewart and it's amazing in my opinion. Things are explained in detail with lots of pictures and graphs so you can understand it better. Not to forget, there isn't lack of evidence, exercises and demonstrations how it's used in praxis.
Here's legal (at least I hope) copy of Precalculus by the same author, so you can see what it might look like and decide whether it's of optimal for you:
ttps://www.stitz-zeager.com/szprecalculus07042013.pdf
And Amazon here:
I wish you the best
Math texts are among the most egregious examples of unnecessarily updated texts. Almost none of the math you'll learn as an undergrad has changed in my lifetime, but students have to buy the newest version just so they can have the right homework problems. Stewart's text is at version 8, and you can buy it on Amazon for $183. I just looked and found a used copy of the 7th edition for $12. It's so cheap because student's cant use the damned thing. I used Thomas and Finney's book thirty years ago, and there haven't been any developments in Calculus since then that are relevant to a Freshman Engineering Major. The teacher of my Functional Analysis class in grad school was fed up with this, so we used Riesz and Sz.-Nagy's Dover Edition. This was a graduate-level math class, and we were able to use a text that was decades old.
I mean, how far do you want to take this? This is what a college degree is for. But if you have a ton of free time, buy these textbooks and read them. You'll learn what you need:
| Topic | Textbook |
|---|---|
| Calculus | Stewart (2015) |
| Statics | Hibbeler (2015) |
| Mechanics of Materials | Hibbeler (2016) |
| Structural Analysis | Kassimali (2019) |
| Steel Design | Segui (2017) |
| Concrete Design | Wright (2021) |
| Timber Design | Breyer (2019) |
You go through these and actually learn what's in them you'll be on par with any other entry-level pretty much.
Stewart.
https://www.amazon.com/Calculus-James-Stewart/dp/1285740629
It's on its 8th edition so if you don't need it for class get on older one of eBay or something. It'll cover nearly every intro topic of Calc and give a good base.
Start with the math then move onto the actual physics: ""Mathematics is the language in which God has written the universe." -Galileo" -Michael Scott
As u/SleepySuper said start with Calc. Here's a textbook that can get you started. That one can cover single variable calculus, followed by series, then multivariable calculus and a taste of differential equations and vector calculus. Here's something to think about when reading a textbook.
From there you'll want to move onto differential equations, linear algebra, vector calc, and maybe a few more higher up subjects like complex analysis but that should take you quit a while to get through.
Also those textbooks are ones I've used, but you may come across others that are more appealing. I'm not going to lie: the "For Dummies" series on quantum mechanics and differential equations and they're not that bad. I mean you're not going to learn anything deep from them but if you have a textbook that covers the material in depth it might help fill in a few gaps.
And something I wish I had when I was in school: Khan Academy and 3Blue1Brown and all those channels. They do help a lot to show you why you're doing and why you're doing it: sometimes it's easy to not see the forest for the trees.
After that there are a ton of physics books, but the underlying math concepts are more important. Physics is basically the application of those mathematics.
If the "Early Transcendentals" book does not have "Single-Variable" or "Multi-Variable" in its name, then it has all of the content of both books; if it does have "Single-Variable" in its name, then it might share a chapter with "Multi-Variable" but that's it.
The response by /u/jimmy_rigger was made as if you were asking about a textbook explicitly labeled as "Single-Variable", and my reply pointed out that you weren't.
You can look inside the books to see for yourself:
- full book, no special title
- Chapters 1-17
- Single-Variable, no other special title
- Chapters 1-11
- Multivariable
- Chapters 10-17
I even noticed almost the same sequence of chapters in a competing textbook (Thomas), except that it puts infinite series before polar/parametric (chapters 10 and 11).
It covers Calculus 1-3. I have a downloaded version from a friend of the whole book.
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