Anyone familiar with Richard Courant and Fritz John?

  • Thread starter Thread starter Werg22
  • Start date Start date
Click For Summary
SUMMARY

The discussion centers around the textbooks "Introduction to Calculus and Analysis Volume 1" and "Volume 2" by Richard Courant and Fritz John, published by Springer. Users confirm that Volume 1 does not include solutions to the exercises, while Volume 2 contains the solutions. An accompanying solution manual, "Problems in Calculus and Analysis" by Prof. Albert A. Blank, serves as the original solution guide for Volume 1. Participants also compare the learning experiences offered by Courant and John's texts with those of Spivak's "Calculus," noting that while Spivak is more accessible, Courant and John provide a broader educational experience.

PREREQUISITES
  • Familiarity with calculus concepts and terminology.
  • Understanding of mathematical problem-solving techniques.
  • Knowledge of textbook structure and educational resources.
  • Awareness of different calculus authors and their pedagogical styles.
NEXT STEPS
  • Research the textbook "Problems in Calculus and Analysis" by A.A. Blank for additional solutions.
  • Explore comparative analyses of Courant and John versus Spivak's calculus texts.
  • Investigate other calculus resources that provide solution manuals or supplementary materials.
  • Study pedagogical approaches in mathematics education to enhance problem-solving skills.
USEFUL FOR

Students studying calculus, educators seeking effective teaching materials, and anyone interested in comparing different calculus textbooks for self-study or teaching purposes.

Werg22
Messages
1,431
Reaction score
1
Springer publishes a set of two volumes of classical textbooks, Introduction to Calculus and Analysys Volume 1 and Introduction to Calculus and Analysys Volume 2. I am currently using Volume 1 for self studying... whilst I do like theory better than solving problems I find the latter still essantial. In volume 1, no solution is provided to the numerous problems at the end of each chapter... I was wondering if anyone who is in the know could tell me if Volume 2 includes all the solutions. Thanks in advance.
 
Physics news on Phys.org
Solutions for 2.
 
You mean volume 2 only has the solutions for the problems in it, excluding volume 1?
 
Yes. That's Wiley, Springer may have invested the time and money for vol. 1, but not likely.
 
That's sad to learn... Volume 1 had some hard exercices.
 
I'm almost certain volume 1 had solutions at the back. I could also be imagining things. :smile:
 
you imagined it. (-:
 
i taught out of vol 1 and never noticed whether any solutions were privded. try to get beyond looking in the back for answers, as it really does not help you learn.
 
While copying proofs or procedures out of a solutions manual is a poor way to learn mathematics, it is, I believe, beneficial to have a set of answers to check your final result against. I too would like to have a solution manual for Courant.
 
  • #10
By the way, mathwonk, how would you compare the first volume "Introduction to Calculus and Analysis" (Courant and John) with "Calculus" (Spivak). Since you have taught out of the former (and I assume you are at least briefly familiar with Spivak), I would be interested in your analysis. Thanks!
 
  • #11
Werg22 said:
Springer publishes a set of two volumes of classical textbooks, Introduction to Calculus and Analysys Volume 1 and Introduction to Calculus and Analysys Volume 2. I am currently using Volume 1 for self studying... whilst I do like theory better than solving problems I find the latter still essantial. In volume 1, no solution is provided to the numerous problems at the end of each chapter... I was wondering if anyone who is in the know could tell me if Volume 2 includes all the solutions. Thanks in advance.

An accompanying solution manual for Volume I was prepared by Prof. Albert A. Blank back when the book was first published. Vol II saw the inclusion of these solutions. Needless to say, the book "Problems in Calculus and Analysis" by A.A. Blank, is in fact the original solution manual to Courant's Volume I. As to whether or not it is still in print, is an entirely different question.
 
  • #12
i have taught out of both courant and john, and spivak. spivak is more fun and in a sense easier to read, but i think you may learn more (in the sense of diversity) from courant and john if you try hard enough. however mike spivak is a friend of mine and a genius, and i myself first really felt i learned calculus by reading his book. he is a superb teacher. you cannot go wrong with any of these books, they are all terrific. it is like choosing between a bmw and a mercedes.

this feels like a rude thing to say since it is probably wrong, but I still sort of want to say that if you feel the need of a solutions manulal for these books then you are not at the level these books were aimed at.
 
Last edited:

Similar threads

  • · Replies 6 ·
Replies
6
Views
3K
Replies
6
Views
3K
  • Sticky
  • · Replies 16 ·
Replies
16
Views
12K
  • · Replies 15 ·
Replies
15
Views
5K
  • · Replies 2 ·
Replies
2
Views
4K
Replies
22
Views
9K
Replies
3
Views
8K
  • · Replies 3 ·
Replies
3
Views
5K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 17 ·
Replies
17
Views
3K