I want to learn it all. I'll need a guide.

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SUMMARY

Andrew, a high school junior aspiring to a doctorate in Quantum Physics, seeks guidance on accelerating his learning. He has completed Algebra I, Geometry, and is currently studying Algebra II, while also exploring Trigonometry and Pre-Calculus. The discussion emphasizes the importance of mastering foundational concepts before advancing and recommends a structured approach to studying physics through a list of essential textbooks, including "Calculus Early Transcendentals" by James Stewart and "Introduction to Quantum Mechanics" by David Griffiths. Additionally, it highlights the necessity of focusing on mathematics to support his physics education.

PREREQUISITES
  • Algebra II knowledge
  • Understanding of Trigonometry and Pre-Calculus
  • Familiarity with calculus concepts
  • Basic physics principles
NEXT STEPS
  • Study "Calculus Early Transcendentals" by James Stewart
  • Explore "Physics for Scientists and Engineers" by Serway and Beichner
  • Practice problem-solving in physics to enhance skills
  • Research advanced mathematics topics such as group theory and complex analysis
USEFUL FOR

High school students interested in pursuing physics, educators seeking curriculum guidance, and anyone looking to build a strong foundation in mathematics and physics for advanced studies.

Etheryte
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I feel as if I should begin with a brief introduction, my name is Andrew. I'm currently a junior in high school and I aspire to pursue a doctorate degree in Quantum Physics.
I've always been immensely intrigued by physics. As a kid I always questioned so many things and as I grew up I realized that physics holds the answers to many of those questions.

Anyhow, as my educational background goes, I've taken Algebra I, Geometry, and I'm taking Algebra II this year. Feeling as if this is immensely slow, I've put it upon myself to use the Algebra II syllabus to read ahead and study. Additionally, I've borrowed a Trig/PreCal book from the math department head, and I've been studying that as well.

My question is, what now? I want to learn so much so quickly, and being still a junior; I feel the wait until college is bothersome.

Could anyone lend some advice to help in my pursuit?
 
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Etheryte said:
My question is, what now? I want to learn so much so quickly, and being still a junior; I feel the wait until college is bothersome.

Could anyone lend some advice to help in my pursuit?

Do not worry about the speed at which you learn things: only whether you have learned them as fully as you are capable of doing so. You will find yourself understanding discussions and naturally asking questions about specific things above the current level of your studies once you understand them properly. Rushing through the beginning will only end in answers to questions you never pondered being unceremoniously dumped into memory, and much of it will then seem meaningless.
That being said, here is a good start to your studies: http://www.staff.science.uu.nl/~Gadda001/goodtheorist/index.html .
 
Its best to read things in order and not jump ahead as physics can be cumulative in nature. There are a ton of free stuff/textbooks online of varying quality but on the other hand, buying textbooks, the way all university students/physics phds learn, can get expensive. Nevertheless, the textbooks I used in college listed in order are:

Undergraduate Classes
1. Calculus: "Calculus Early Transcendentals" by James Stewart
2. General Introductory Physics: "Physics for Scientists and Engineers" Vol. 1 and 2 by Serway and Beichner
3. Elementary Differential Equations: "Elementary Differential Equations" by Boyce and DiPrima
4. Partial Differential Equations: "An Introduction: Partial Differential Equations", by Walter Strauss (this book sucks, use a different one)
5. Error Analysis: "An Introduction to Error Analysis", by John Taylor
6. Classical Mechanics: "Classical Mechanics", by John Taylor
7. Electricity and Magnetism: "Introduction to Electrodynamics", by David Griffiths
8. Optics: "Optics" by Eugene Hecht
9. Statistical Mechanics: "Thermal Physics", by Daniel Schroeder
10. Quantum Mechanics: "Introduction to Quantum Mechanics", by David Griffiths
11. Electronics: "The Art of Electronics", by Horowitz and Hill
12. Solid State Physics: "Solid State Physics", by Ashcroft and Mermin
13. Particle Physics: "Introduction to Elementary Particles", by David Griffiths

Graduate Classes
All of it over again, but harder! Plus Quantum Field Theory.

If I were doing things all over again though from high school I would have spent my high school years focusing on math not physics. After finishing through undergraduate and then graduate school in physics I never had enough time to take enough math courses. Physics depends on math and it occasionally happens that Professors end up teaching topics where you would have a far better understanding of had one had more math. Occasionally group theory, number theory, complex analysis, and differential geometry can crop up, but I remember that it wasn't part of the official course recommendations when I was in undergraduate school. My only other two recommendation is to do the problems at the end of each chapter as physics is as much a skill as the act of knowing how things work. And lastly, pick a university that has a large physics department.
 
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