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July 21st, 2017, 11:21 PM  #1 
Member Joined: Jul 2017 From: europe Posts: 51 Thanks: 0  Textbook (mathematical analysis)?
Hello buddies! Please, recommend a good textbook about mathematical analysis. I need a book which explains very clearly the basic concepts and uses illustrative examples. I am not great Mathematician at all, I have never studied Mathematics on College level. But I am eager to learn the fundamental principles of the analysis (differentiation and integration). While looking for a proper textbook for beginner, I am reviewing my mathematical knowledge from highschool.. because this will be useful when I switch to calculus. Thank you for every suggestion!!! Have a nice and energetic day!!! P.S. I am already in love with this forum. It's a great place 
July 22nd, 2017, 01:19 AM  #2 
Senior Member Joined: Jun 2015 From: England Posts: 891 Thanks: 269 
This should be a good start. Look for a cheap secondhand one. https://www.amazon.co.uk/Mathematics.../dp/0412410400 
July 22nd, 2017, 03:44 AM  #3  
Senior Member Joined: Oct 2009 Posts: 688 Thanks: 223  Quote:
Anyway, if you're well acquainted with calculus, I recommend the following books, get one you like: Abbott  Understanding Analysis A very gentle first text, but goes quite deep. Already uses the basic aspects of topology, but restrict to the real line. It ends its chapters with certain "projects" which require deeper thought. Bloch  The real numbers and real analysis It is for me the definite source of analysis. It starts off by rigorously constructing the integers, the rationals and the reals, something I've never seen any analysis book do (except Landau). Then it goes to the usual topics. The book provides many nice proofs and theorems you never see in other books of this level. It is quite difficult though. You'll need to be very good with both proofs and calculus. And even then it is pretty challenging.  
July 22nd, 2017, 05:50 AM  #4 
Senior Member Joined: Jun 2015 From: England Posts: 891 Thanks: 269 
Ok so Dennis Rosen's book is designed to help people who have had high school maths, then left and found a (technical) job or whatever but now find they need to use the high school maths and maybe a bit more. So it is a good start. To carry on, this is probably your best book. https://books.google.co.uk/books/abo...er&redir_esc=y This is designed to show degree and post degree chemists all the maths they will need. Maths for Chemistry is easier than maths for Physics, but it does get up to the levels you seem to want, without the deep maths background that mathematicians books will present. He has a particularly good section on the Euler formulae you are asking about in another thread. One other thing  you should look at one of these two (free) websites to create proper mathematical formulae for pasting into your posts. https://www.codecogs.com/latex/eqneditor.php Online Latex Equation Editor  Sciweavers Last edited by skipjack; July 22nd, 2017 at 05:56 AM. 
July 22nd, 2017, 06:39 AM  #5 
Global Moderator Joined: Dec 2006 Posts: 20,098 Thanks: 1905  
July 22nd, 2017, 10:02 AM  #6 
Member Joined: Jul 2017 From: europe Posts: 51 Thanks: 0 
Guys, maybe it was my mistake.... I used CALCULUS and MATHEMATICAL ANALYSIS as synonymous. I thought they are almost the same thing..... My English is not perfect, as my Mathematical skill are not perfect To say it correct: I want to learn the basics of calculus! By this I mean: differentiation and integration. Today I already ordered online a copy of Rosen's textbook. And I am eagerly waiting........ 
July 22nd, 2017, 12:07 PM  #7  
Senior Member Joined: Oct 2009 Posts: 688 Thanks: 223  Quote:
The theory of calculus is both easier to understand and more elegant.  

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