My Math Forum  

Go Back   My Math Forum > Math Forums > Math Books

Math Books Math Book Forum - Math books, ebooks, references


Thanks Tree3Thanks
  • 1 Post By studiot
  • 1 Post By skipjack
  • 1 Post By Micrm@ss
Reply
 
LinkBack Thread Tools Display Modes
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 high-school.. 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
DesertFox is offline  
 
July 22nd, 2017, 01:19 AM   #2
Senior Member
 
Joined: Jun 2015
From: England

Posts: 704
Thanks: 202

This should be a good start.

Look for a cheap secondhand one.

https://www.amazon.co.uk/Mathematics.../dp/0412410400
Thanks from DesertFox
studiot is offline  
July 22nd, 2017, 03:44 AM   #3
Senior Member
 
Joined: Oct 2009

Posts: 142
Thanks: 60

Quote:
Originally Posted by DesertFox View Post
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 high-school.. 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
Do you already know calculus? You shouldn't do analysis when you're not used to calculus yet. Analysis is a large jump up in difficulty. Many people say analysis is the hardest course they ever took.

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.
Micrm@ss is offline  
July 22nd, 2017, 05:50 AM   #4
Senior Member
 
Joined: Jun 2015
From: England

Posts: 704
Thanks: 202

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.
studiot is offline  
July 22nd, 2017, 06:39 AM   #5
Global Moderator
 
Joined: Dec 2006

Posts: 18,250
Thanks: 1439

From the above-mentioned book:
Euler1.jpg
Euler2.jpg
Thanks from DesertFox
skipjack is offline  
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........
DesertFox is offline  
July 22nd, 2017, 12:07 PM   #7
Senior Member
 
Joined: Oct 2009

Posts: 142
Thanks: 60

Quote:
Originally Posted by DesertFox View Post
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........
Then I highly recommend Keisler's free textbook on calculus. It does things in a nonstandard approach with infinitesimals. It is especially well suited for physicists who wish to understand what infinitesimals really are all about.
The theory of calculus is both easier to understand and more elegant.
Thanks from DesertFox
Micrm@ss is offline  
Reply

  My Math Forum > Math Forums > Math Books

Tags
analysis, mathematical, textbook



Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
2 Mathematical Analysis question u235 Calculus 1 December 9th, 2012 02:03 PM
Mathematical Analysis MyNameIsVu Calculus 6 April 29th, 2009 07:25 AM
Inquiry in Compositional Mathematical Analysis MyNameIsVu Calculus 1 April 25th, 2009 04:14 PM
Inquiry in Mathematical Analysis II MyNameIsVu Calculus 2 April 23rd, 2009 11:22 PM
An Inquiry in Mathematical Analysis MyNameIsVu Calculus 0 April 22nd, 2009 08:31 AM





Copyright © 2017 My Math Forum. All rights reserved.