Mathematics of Quantum Mechanics

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SUMMARY

The discussion centers on the mathematical foundations necessary for understanding Quantum Physics, particularly for individuals without a formal academic background. The user expresses a desire to self-learn the mathematics required to grasp Quantum Mechanics, highlighting a lack of recent mathematical knowledge. Recommendations include resources such as "The Theoretical Minimum" book and a website dedicated to primary mathematics for theoretical physics. The user seeks guidance on specific mathematical concepts to focus on for self-study.

PREREQUISITES
  • Basic Algebra and Geometry
  • Calculus, including differential and integral calculus
  • Linear Algebra, focusing on vector spaces and matrices
  • Complex Numbers and Functions
NEXT STEPS
  • Study "The Theoretical Minimum" by Leonard Susskind for foundational concepts
  • Explore online resources for self-paced learning in Calculus
  • Research Linear Algebra applications in Quantum Mechanics
  • Utilize the website provided for primary mathematics guidance
USEFUL FOR

Individuals interested in self-learning Quantum Physics, particularly those with a non-academic background in mathematics, such as aspiring physicists, hobbyists in Astronomy, and lifelong learners seeking to understand complex scientific theories.

Agreegate
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I have a question about learning the mathematics of Quantum Physics...

So, I've been really interested in Astronomy and Quantum Physics since I was a kid. Owing to some accidental education and career choices, I however, ended up becoming a Business Consultant. Although I have spend most of my life reading about and learning about Quantum Mechanics, Physics and Astronomy, but now, I have reached a point where I understand most of the theories in principle, but lack any understanding of how they work mathematically... It feels synonymous to being an illiterate person who has to rely on what others read to him from a storybook, but cannot read it himself.

My basic mathematics knowledge is set very very far back at this point. I hardly remember high school mathematics, but can probably recall it again with some effort and learn more on top of it. What I need, is a guidance on what kind of mathematics I should invest my time in learning, so that I can work towards mathematically understanding Quantum Physics (no academic courses, I want to learn it in my own time, myself, since, I'm not aiming for an academic or professional career). Also, if someone can recommend a book or website, etc, which can guide me through basic to advanced mathematics of Quantum Physics, then that would be brilliant. Thanks for your help in advance...
 
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Agreegate said:
I have a question about learning the mathematics of Quantum Physics...

So, I've been really interested in Astronomy and Quantum Physics since I was a kid. Owing to some accidental education and career choices, I however, ended up becoming a Business Consultant. Although I have spend most of my life reading about and learning about Quantum Mechanics, Physics and Astronomy, but now, I have reached a point where I understand most of the theories in principle, but lack any understanding of how they work mathematically... It feels synonymous to being an illiterate person who has to rely on what others read to him from a storybook, but cannot read it himself.

My basic mathematics knowledge is set very very far back at this point. I hardly remember high school mathematics, but can probably recall it again with some effort and learn more on top of it. What I need, is a guidance on what kind of mathematics I should invest my time in learning, so that I can work towards mathematically understanding Quantum Physics (no academic courses, I want to learn it in my own time, myself, since, I'm not aiming for an academic or professional career). Also, if someone can recommend a book or website, etc, which can guide me through basic to advanced mathematics of Quantum Physics, then that would be brilliant. Thanks for your help in advance...
I hear good things about The Theoretical Minimum.
https://www.amazon.com/dp/0465075681/?tag=pfamazon01-20
 
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