Classical Recommendation needed for integral calculus books

AI Thread Summary
The discussion centers on the need for resources to bridge the gap between high school calculus and its application in physics, particularly in modeling scenarios using integral calculus. Participants recommend several books to enhance understanding, including "Resnick and Halliday" for physics, "Calculus Made Easy" by Silvanus P. Thompson, "Introduction to Mechanics" by Kleppner and Kolenkow, "Differential Equations" by Shepley L. Ross, and "Calculus Volume 1" by Tom M. Apostol. There is a debate regarding the quality of "Thomas' Calculus," with some recommending older editions for their clarity and intuition, while others express concerns about the later editions. Overall, the emphasis is on finding comprehensive resources that effectively integrate calculus with physics concepts.
Asad Raza
Messages
81
Reaction score
3
I have learned an adequate amount of calculus including implicit, parametric differentiation as well as Upton second order differential equations in high school math course. It was really abstract and we were taught only how to solve mathematical problems. Now, I need to model those problems in physics using integral calculus, which is a bit confusing since our high school physics wasnt math centered and non math students were taking it too, so they had to keep it that way. I just need a good resource that can supplement my existing knowledge and helps me model situations using calculus and fill in the holes.

Kindly recommend some good books۔
 
Physics news on Phys.org
Asad Raza said:
I have learned an adequate amount of calculus including implicit, parametric differentiation as well as Upton second order differential equations in high school math course. It was really abstract and we were taught only how to solve mathematical problems. Now, I need to model those problems in physics using integral calculus, which is a bit confusing since our high school physics wasnt math centered and non math students were taking it too, so they had to keep it that way. I just need a good resource that can supplement my existing knowledge and helps me model situations using calculus and fill in the holes.

Kindly recommend some good books۔

You need physics book or math book ? The title says integral calculus book but the tag is Classical mechanics.
 
Buffu said:
You need physics book or math book ? The title says integral calculus book but the tag is Classical mechanics.
Any book related to the situation described above
 
Get a college level, calculus based general intro physics book. This seems like a reasonable place to start. I suggest Resnick and Halliday.
 
Asad Raza said:
Any book related to the situation described above

Calculus made easy - Silvanus P Thomson
Introduction to mechanics - Kleppner and Kolenkow
Differential Equations - Shepley L Ross
Calculus Volume 1 - Tom M Apostol

You won't ever be in trouble with calculus again after reading these books.
 
  • Like
Likes Asad Raza
Buffu said:
Calculus made easy - Silvanus P Thomson
Introduction to mechanics - Kleppner and Kolenkow
Differential Equations - Shepley L Ross
Calculus Volume 1 - Tom M Apostol

You won't ever be in trouble with calculus again after reading these books.
How is Thomas' Calculus ?
 
Dr.D said:
Get a college level, calculus based general intro physics book. This seems like a reasonable place to start. I suggest Resnick and Halliday.
And How is Universigty Physics by Young and Freedman?
 
I really do not know about Young and Freedman; I am not familiar with this text.
 
Asad Raza said:
How is Thomas' Calculus ?
I think it is also a good book but I have never read it.
 
  • #10
Asad Raza said:
And How is University Physics by Young and Freedman?
I've looked at a few sections briefly, and I thought it was good. In grad school, my advisor was teaching intro physics using this book, and he thought it was good book.
 
  • #11
the problem with thomas's calculus is that it is not just one book, it went through many editions, each getting progressively worse than the earlier ones, until now it is a rather bad book, with many authors, thomas himself being dead. The original ones by him are quite good, and quite cheap, e.g. the one from 1953:

https://www.abebooks.com/servlet/BookDetailsPL?bi=19737588122&searchurl=yrh=1965&yrl=150&bi=0&ds=20&bx=off&sortby=17&tn=calculus&kn=george+b+thomas&an=george+thomas&recentlyadded=all
 
  • #12
Asad Raza said:
I have learned an adequate amount of calculus including implicit, parametric differentiation as well as Upton second order differential equations in high school math course. It was really abstract and we were taught only how to solve mathematical problems. Now, I need to model those problems in physics using integral calculus, which is a bit confusing since our high school physics wasnt math centered and non math students were taking it too, so they had to keep it that way. I just need a good resource that can supplement my existing knowledge and helps me model situations using calculus and fill in the holes.

Kindly recommend some good books۔

The suggestion by Mathwonk is excellent. The older edition of Thomas, preferably the third edition, offers a clear and concise coverage of Calculus. It offers great intuition and ties the subject together.

If you have money to spare. I would recommend a second book, Moise: Calculus. It is a balance of applied and theory.
 

Similar threads

Back
Top