Has anyone read A Tour of the Calculus ?

  • Context: High School 
  • Thread starter Thread starter Saladsamurai
  • Start date Start date
  • Tags Tags
    Calculus
Click For Summary

Discussion Overview

The discussion revolves around the book "A Tour of the Calculus" by David Berlinski, exploring its insights and the potential for similar literature in elementary algebra. Participants share their thoughts on the book's approach to linking calculus concepts with real-world applications and express a desire for resources that might help someone struggling with foundational mathematics.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant enjoyed Berlinski's ability to connect calculus ideas with real-world situations and seeks recommendations for similar books on elementary algebra.
  • Another participant expresses interest in the book and inquires about the mathematical background of the original poster's girlfriend.
  • A participant who read the book appreciates Berlinski's insights and mentions his unique perspective on historical mathematicians, suggesting that no other book matches its style, although many introductory algebra books exist.
  • One participant notes that calculus is engaging due to its relatable concepts, while algebra lacks similarly compelling themes, often reducing to basic operations.
  • A later reply suggests checking out another book for calculus, although the title is not specified.

Areas of Agreement / Disagreement

Participants express varied opinions on the uniqueness of Berlinski's book and the challenges of finding comparable resources for algebra. There is no consensus on the availability of similar literature or the effectiveness of algebra in engaging readers.

Contextual Notes

Some participants mention the conceptual difficulties faced by learners in mathematics, particularly in algebra, but do not resolve the underlying issues or assumptions regarding educational approaches.

Who May Find This Useful

Readers interested in the intersection of mathematics and real-world applications, as well as those seeking resources to support learning in elementary algebra.

Saladsamurai
Messages
3,009
Reaction score
7
Has anyone read "A Tour of the Calculus"?

by David Berlinski? I read it and I really enjoyed the way he helped to link the ideas of the Calculus with real-world situations. I was wondering if someone could recommend a similar type of book about elementry algebra? My girlfriend really enjoys mathematics, but seems to be having a lot of conceptual trouble. I think it is due in part that she still needs to focus so much brain power on the actual math operations that the physical/conceptual stuff doesn't have room to cross over.
Any ideas would be great. She is very interested in Chemistry, but she will definitely need to get a firm grasp on her Maths.

Thanks.
 
Physics news on Phys.org
anyone?...
 
Not me, but thanks for recommending the book, I'll check it out.

What level of math education does your girl have?
 
I read the book and liked his interesting insights. He seemed, for example, to see himself there with Dedekind as he discusses his line cut. He want to size up the greats as the might appear in person,as well as their discoveries--as if he was there beside them.

I don't think there is a similar type of book by anybody else. There are many introductory books on Algebra, however.
 
Calculus makes an engaging topic, because it involves many concepts with which everyone is immediately familiar: speedometers in cars as an example of instantaneous velocity, etc.

Algebra just doesn't have nearly as many prose-worthy sorts of concepts. Nearly all of it just comes down to using a balance, and adding or removing the same amount of weights from both sides.

- Warren
 
Makes sense. Thanks for the thoughts.

~Casey
 
for calculus why don't you check out ia maroon
a nice book
 

Similar threads

  • · Replies 36 ·
2
Replies
36
Views
6K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 24 ·
Replies
24
Views
7K
  • · Replies 14 ·
Replies
14
Views
2K
Replies
6
Views
1K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 43 ·
2
Replies
43
Views
10K