Books on Math & Physics: Calculus, Mechanics, Relativity & More

[devious_]

My interest in math and physics has been tremendously growing. I'm purely attracted to calculus, mechanics, relativity, particle & quantum physics.

Anyway, I decided to buy me a couple of books. Here's my list so far:

Mathematics of Classical and Quantum Physics - Byron and Fuller
The Evolution of Physics - Einstein
Lectures on Physics (all 3 volumes) - Feynman
How to Ace Calculus: The Streetwise Guide - Adams
How to Ace the Rest of Calculus: The Streetwise Guide - Adams
Schaum's Outline of Advanced Calculus - Spiegel
Engineering Mathematics (5th Ed.) - Stroud

Does anyone have anything to say, good or bad, about these books? Also, if anyone can recommend a good book on Partial DiffEqs, I'd be grateful.

Thanks.

 

[Dr Transport]

I have seen a couple of decent texts on PDE's, The Schaum's Outling in Fourier Series is good. I used a book by Pinsky years ago in undergrad for PDE's. It isn't really rigorous, but is useful to learn from, I still pull it out from time to time. Haberman has written a book on Boundary Value Problems and Fourier Series, it is where I learned a fair amount about Greens Functions, in 1- 2- and 3-d.

Take a look.

dt

 

[Chrono]

I would recommend to anybody Hyperspace by Michio Kaku. That book just changed my life reguarding math and physics.

 

[Blast0]

I own both of these:

How to Ace Calculus: The Streetwise Guide - Adams
How to Ace the Rest of Calculus: The Streetwise Guide - Adams

and would have to say that they are great books. The authors break concepts down for better understanding, compared to the more sophisticated approaches that most textbooks use. Worth buying for sure.

 

[Chrono]

How to Ace the Rest of Calculus: The Streetwise Guide - Adams

This has multivariable calculus, right?

 

[allanpatrick]

i flunked "Fourier" series last sem... i plan to take it again next year, during the 1st semester. please recommend and help me find a good book about it. I'm just so terrible when it comes to fourier...

thanks in advance!Ü

patrick

 

[Pyrrhus]

Well, i recommend Advanced Calculus by Wilfred Kaplan.

 

[devious_]

Can someone recommend a good, cheap, introductory Advanced Calculus textbook (that also covers multivariable calculus)?

 

[Pyrrhus]

The problem the best books, Courant, Apostol, etc... are expensive

 

[Chrono]

The problem the best books, Courant, Apostol, etc... are expensive

Tell me about it. It's hard enough to buy a book that's 20 bucks, but for one that's 50 to 100 bucks is too hard to fathom.

 

[graphic7]

I was lucky enough to inherit a first edition, second printing of Apostol's 'Mathematical Analysis' from one of my professors. I'm very pleased with it. I've been continually using it as suplemental text to go along with Calculus II and III.

 

[Sting]

A fairly good book on Analysis (intro level) is Introduction to Analysis by Rosenlith (spelling). It's reasonably easy to follow but it assumes a knowledge of multivariable calculus.

For introductory (I'm implying really basic), Serway's Physics for Students of Science and Engineering is an exceptionally good one.
Although it's not calculus based, Jones and Childers' Contemporary College Physics is very beneficial in learning the qualitative parts of Physics. I'm a third year physics student studying in Atlanta, and that was one of the first books I took from my personal library.

Again, it's slightly more advanced, but Shankar's Principles of Quantum Mechanics is a definite recommend.

Stay away from Tipler.

 

[devious_]

Thanks for the recommendations, Sting. I think I'll be getting Shankar's QM book sometime soon, as I've heard a lot of good stuff about it.

I decided to get Widder's Advanced Calculus. It was the cheapest I could fine. We'll see how it turns out.

Anyway, I'm now looking for introductory books on Complex and Real Analysis. For Real Analysis, I'm torn between Shilov's Elementary Real and Complex Analysis and Rosenlicht's Introduction to Analysis. And for Complex Analysis, I can't decide whether to get Cartan's Elementary Theory of Analytic Functions of One or Several Complex Variables or Silverman's Introductory Complex Analysis. All four books are available on "www.amazon.com"[/URL]. Which ones should I get?

Please bear in mind that they're basically going to be my first view of Analysis, and that I'm going to use them teach myself the material. I'm almost done with multivariable calculus, and I've finished linear algebra and ODEs. So, I guess I have the needed background?

 

[jk]

book

I can't recommend highly enough the book Advanced Calculus by Loomis and Sternberg. It covers much more than the title and is written from the modern viewpoints. The book is out of print but they have a pdf copy online for free at the Harvard website. DO a search for 'Advanced Calculus' and 'Loomis and Sternberg' on google.

 

[futb0l]

I can't recommend highly enough the book Advanced Calculus by Loomis and Sternberg. It covers much more than the title and is written from the modern viewpoints. The book is out of print but they have a pdf copy online for free at the Harvard website. DO a search for 'Advanced Calculus' and 'Loomis and Sternberg' on google.

I can't seem to find it - will you be able to send it to my email?
s2.wirjo.s2@gmail.com?

 

[devious_]

Here's the link, futb0l:
http://www.math.harvard.edu/~shlomo/docs/Advanced_Calculus.pdf
(It's 58mb)