Geometry Topics for Theoretical Physics & Astrophysics

[Stratosphere]

I wasn’t exactly sure where to put this but this seemed the best place. I have a geometry book that I plan on learning by my self. It is the same one that my high school uses for accelerated geometry. In the accelerated geometry classes they only go to a bought chapter 9 but there are 14 chapters in the book. The fact that they don't finish the book makes it seem like the last few chapters aren’t important. I wouldn't want to learn what is not necessary for theoretical physics and astrophysics. So I need to know which chapters to learn. The chapters are as followed in numerical order:

1. Points, Planes and angles
2. Deductive reasoning
3. Parallel lines and planes
4. Congruent triangles
5. Quadrilaterals
6. Inequalities in Geometry
7. Similar Polygons
8. Right triangles
9. Circles
10. Constructive and loci
11. Areas of plane Figures
12. Areas and Volumes of Solids
13. Coordinate Geometry
14. Transformations

 

[SmashtheVan]

youll need all of that!

take in whatever math you can get and hold on to it dearly, even if you don't think you will need it later on

 

[Stratosphere]

If I need all of that then how come the accelerated class didn't cover it all?

 

[Animastryfe]

If I need al of that then how come the accelerated class didn't cover it all?

Likely because your class did not have enough time, and also because a high school class will not cover all of the geometry subjects necessary for physics and astrophysics.

 

[SmashtheVan]

If I need al of that then how come the accelerated class didn't cover it all?

Usually different schools have curriculum that meets the needs of state testing or some other standard, but books aren't necessarily written for these curricula, so what is covered is just the part of the book the school requires for their program.

 

[Stratosphere]

So is it best to learn all of it?

 

[symbolipoint]

So is it best to learn all of it?

According to the list you gave:

1. Points, Planes and angles
2. Deductive reasoning
3. Parallel lines and planes
4. Congruent triangles
5. Quadrilaterals
6. Inequalities in Geometry
7. Similar Polygons
8. Right triangles
9. Circles
10. Constructive and loci
11. Areas of plane Figures
12. Areas and Volumes of Solids
13. Coordinate Geometry
14. Transformations

You will need all of those chapters for both conceptual and skill development, as well as most of them for applications; you may well find that chapter 14 is helpful in conceptual understanding, even if not so promtply applied.

If the accelerated course of Geometry at your school clips away the last 5 chapters then you really should study almost all of them on your own. In fact, those chapters 10 through 13, if not present in the course, make the course incomplete; even certain features from chapter 14 if missing from the course will make the course incomplete (I'm thinking of dilations, at the very least...)