Intro books on Differential Geometry?

Click For Summary
SUMMARY

The discussion centers on finding suitable introductory books for self-study in Differential Geometry, specifically mentioning "Elementary Differential Geometry" by A. Pressley. While the university's math department recommends this book as a supplement, they note it may be slightly more challenging than their own course notes. Despite this, reviews indicate that Pressley's book is accessible for self-study. The participant also expresses concern about affordability, highlighting the importance of cost-effective resources for students.

PREREQUISITES
  • Understanding of Linear Algebra
  • Knowledge of single and multivariable calculus
  • Basic familiarity with vector calculus
  • Introductory concepts of Ordinary Differential Equations (ODEs) and Partial Differential Equations (PDEs)
NEXT STEPS
  • Research additional introductory texts on Differential Geometry, such as "Differential Geometry of Curves and Surfaces" by Manfredo P. do Carmo.
  • Explore online resources and lecture notes on Differential Geometry from reputable universities.
  • Investigate forums and threads specifically discussing "Elementary Differential Geometry" by A. Pressley for user reviews and insights.
  • Look into affordable online courses or video lectures that cover the basics of Differential Geometry.
USEFUL FOR

Students of mathematics, particularly those studying Differential Geometry, self-learners seeking accessible resources, and anyone looking for cost-effective educational materials in advanced mathematics.

P3X-018
Messages
144
Reaction score
0
I want a book on introductory Diff. Geometry for self study, but I don't know which book will be suitable for me, and not on a too high level. I know Linear Algebra, single & multi variablecalculus, basic vector calculus and very little about ODE's and PDE's.

At the Diff. Geometry course page (of the math department of my university) they recommened as a supplment to their own notes Elementary Differential Geometry by A. Pressley. But they mention that the level of Pressley is a little more difficult than their own notes. But when I read reviews about this book, it seems like this book is suitable for self study and easey to understand.
So is this a good material for self study and on the subject of diff. geometry, or maybe someone knows a better material for this subject?
 
Physics news on Phys.org
There are tons of threads in PF on this very topic. Please search the Book Reviews and Tensor and Diff. Geom. forums. I think there was one active last week.
 
neutrino said:
There are tons of threads in PF on this very topic. Please search the Book Reviews and Tensor and Diff. Geom. forums. I think there was one active last week.

I was actually just doing that.
Since I'm a poor student I mentioned Pressley because it's not too expensive :rolleyes:. I tried seaching about that book here, but can't seem to find anything about it. Maybe someone one knows alittle about this book and can tell wether it's worth buying?
 

Similar threads

  • · Replies 14 ·
Replies
14
Views
4K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 2 ·
Replies
2
Views
5K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 5 ·
Replies
5
Views
5K
  • · Replies 19 ·
Replies
19
Views
4K
  • · Replies 7 ·
Replies
7
Views
6K
  • · Replies 8 ·
Replies
8
Views
5K
  • · Replies 9 ·
Replies
9
Views
5K
  • · Replies 17 ·
Replies
17
Views
4K