Calculus Good Books on Non-Standard Analysis?

  • Thread starter Thread starter Q-1
  • Start date Start date
  • Tags Tags
    Analysis Books
Click For Summary
SUMMARY

This discussion focuses on recommended literature for non-standard analysis, specifically highlighting two key works by H. Jerome Keisler: "First-Year Calculus from the Point of View of Non-Standard Analysis" and "Foundations of Infinitesimal Calculus." Both books are available for free through Keisler's website. Additionally, three other books are suggested for readers seeking similar introductory material in non-standard analysis.

PREREQUISITES
  • Understanding of basic calculus concepts
  • Familiarity with non-standard analysis principles
  • Knowledge of mathematical logic
  • Ability to navigate academic resources and literature
NEXT STEPS
  • Explore H. Jerome Keisler's "First-Year Calculus from the Point of View of Non-Standard Analysis"
  • Read "Foundations of Infinitesimal Calculus" by H. Jerome Keisler
  • Investigate additional introductory texts on non-standard analysis
  • Review online resources and academic papers related to non-standard analysis
USEFUL FOR

Mathematicians, students of advanced calculus, educators seeking teaching resources, and anyone interested in the foundations of non-standard analysis.

Q-1
Messages
29
Reaction score
5
Hello,

I am looking for for some good books on non-standard analysis. Hoping for something simple and not too complex.

Any tips on good books appreciated.
 
Physics news on Phys.org
Q-1 said:
I am looking for for some good books on non-standard analysis. Hoping for something simple and not too complex.

You might like to look at Keisler's book on first-year calculus from the point of view of non-standard analysis, and Keisler's background book "Foundations of Infinitesimal Calculus". These are freely available from the links at

https://www.math.wisc.edu/~keisler/
 
George Jones said:
You might like to look at Keisler's book on first-year calculus from the point of view of non-standard analysis, and Keisler's background book "Foundations of Infinitesimal Calculus". These are freely available from the links at

https://www.math.wisc.edu/~keisler/

Thank you. That helps a lot.
 

Thread 'What is the best conceptual high school physics book?'

i am self learning physics. have you ever worked your way backwards again after finishing most undergrad courses? i have textbooks for junior/senior physics courses in classical mechanics, electrodynamics, thermal physics, quantum mechanics, and mathematical methods for self learning. i have the Halliday Resnick sophomore book. working backwards, i checked out Conceptual Physics 11th edition by Hewitt and found this book very helpful. What i liked most was how stimulating the pictures...
View full post »

Similar threads

Other Complex analysis or calculus?
  • · Replies 15 ·
Replies
15
Views
1K
What are Good Books on Tensors for Understanding Einstein's Field Equation?
  • · Replies 33 ·
2
Replies
33
Views
5K
Interested in Introductory Non-Standard Analysis Books?
  • · Replies 3 ·
Replies
3
Views
2K
Good introductory book on statistical/data analysis?
  • · Replies 6 ·
Replies
6
Views
3K
Applied Blennow to follow up Altland?
  • · Replies 8 ·
Replies
8
Views
603
Analysis Study plan for Functional Analysis - Recommendations and critique
  • · Replies 13 ·
Replies
13
Views
5K
Classical Which books are good for reviewing classical mechanics?
  • · Replies 17 ·
Replies
17
Views
3K
Intro Math Hassani's books on Mathematical Physics/Methods
  • · Replies 5 ·
Replies
5
Views
4K
Classical Waves: Books on Math & Physics for Real Analysis, Complex Analysis, etc.
  • · Replies 14 ·
Replies
14
Views
5K
Advice on Resources -- A really good classical mechanics book?
  • · Replies 9 ·
Replies
9
Views
4K