What is the mathematics required to learn from Feynman's Lectures?

In summary, the mathematics required to learn from Feynman's Lectures includes a strong foundation in calculus, linear algebra, and differential equations. Knowledge of complex numbers, vector calculus, and probability theory is also helpful. Additionally, understanding basic concepts such as derivatives, integrals, and series is essential for comprehending the more advanced topics covered in the lectures, such as quantum mechanics and electromagnetism. With a solid grasp of these mathematical concepts, one can fully appreciate and learn from the insights and teachings of physicist Richard Feynman in his renowned lectures.
  • #1
DrTherapist
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I have Thomas and Finney's book on Calculus for reference. Am I prepared for Feynman's Lectures? I've studied physics for two years in high school.
 
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  • #2
I think so. You will need to be comfortable with calculus, including multi-variable calculus and partial derivatives. I don't think the math is any more complicated than that.
 
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  • #3
What are the books that I should supplement with Feynman's Lectures?
 
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  • #4
I think you would do well to browse the lectures at http://www.feynmanlectures.caltech.edu/ and let any points of departure from comprehensibility to you inform you as to where there may be gaps in your prerequisite learning. Feynman's style is often to start out with a few remarks that identify in a reasonably approachable-to-every-college-student manner, what he'll be discussing, and then to go dauntlessly into detail, becoming conceptually more abstruse and procedurally more demanding as he progresses. He's brilliant, extremely inventive, and can be a heck of a lot of fun, but if you're at all like regular folks, you'll probably have to do some of the kinds of maths he uses in order to be able to follow his elucidations. The upside of that is that having done the prep work, you'll find that his lectures present things remarkably perspicuously.
 
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  • #5
Thanks. I seem to understand the lectures pretty well. I am going to buy them pretty soon.
 
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DrTherapist said:
What are the books that I should supplement with Feynman's Lectures?
Richard Feynman was certainly one of very few Geniuses I studied contemporary aloneside Galileo, Einstein, Newton, Bohr, Maxwell, Schrödinger, Faraday. His Genius was palpable as was his inquisitive nature, Physics was a true love of his you could feel his passion. Feynman could be proximal but part of his pedagogical style. One of the greatest physicist of the 20th Century. Brilliant, Wise, A master Professor of quantum mechanics and particle physics. While working on his Ph.D. from Princeton, he was encouraged to participate in the Manhattan Project therefore assisted in the development of the atomic bomb. Other than Differential and Integral Calculus, just read a lot of physics, most of his work was in Quantum Mechanics and Particle Physics. While he was finishing his PhD the DOD/USA Gov. encouraged him to participate in the Manhattan Project and assisted in the development of the atomic bomb. He was known as the "great explainer!"
Read his written Lectures several volumes there's hours of his Caltech lectures on YouTube.
 
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  • #8
The Feynman lectures are indeed an all-time classic. It's only topped, in my opinion, by Sommerfeld's 6-volume "Lectures on theoretical physics", which however only include classical physics, and they are 30-40 years older than the Feynman Lectures. Very similar in style are Pauli's (also 6-volume) "Lectures on theoretical physics". Characteristically Pauli's textbooks are still not outdated although some decades old (particularly his famous encyclopedia article on "Wave Mechanics" is a gem; also his other encyclopedia article on relativity, which he wrote at an age of 21, are great; only the "relativistic thermodynamics part" is unfortunately flawed, but that's not his fault since these issues have been solved only 40 and more years later).
 
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  • #10
Gregory Alan said:
Richard Feynman was certainly one of very few Geniuses I studied contemporary aloneside Galileo, Einstein, Newton, Bohr, Maxwell, Schrödinger, Faraday. His Genius was palpable as was his inquisitive nature, Physics was a true love of his you could feel his passion. Feynman could be proximal but part of his pedagogical style. One of the greatest physicist of the 20th Century. Brilliant, Wise, A master Professor of quantum mechanics and particle physics. While working on his Ph.D. from Princeton, he was encouraged to participate in the Manhattan Project therefore assisted in the development of the atomic bomb. Other than Differential and Integral Calculus, just read a lot of physics, most of his work was in Quantum Mechanics and Particle Physics. While he was finishing his PhD the DOD/USA Gov. encouraged him to participate in the Manhattan Project and assisted in the development of the atomic bomb. He was known as the "great explainer!"
Read his written Lectures several volumes there's hours of his Caltech lectures on YouTube.
Thank you. I did not know much about Feynman but now it is apparent that he was a brilliant physicist.

I will make sure to look up his lectures on YouTube. I am feeling lucky that someone like Feynman existed and gave us a gift.
 
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  • #11
vanhees71 said:
The Feynman lectures are indeed an all-time classic. It's only topped, in my opinion, by Sommerfeld's 6-volume "Lectures on theoretical physics", which however only include classical physics, and they are 30-40 years older than the Feynman Lectures. Very similar in style are Pauli's (also 6-volume) "Lectures on theoretical physics". Characteristically Pauli's textbooks are still not outdated although some decades old (particularly his famous encyclopedia article on "Wave Mechanics" is a gem; also his other encyclopedia article on relativity, which he wrote at an age of 21, are great; only the "relativistic thermodynamics part" is unfortunately flawed, but that's not his fault since these issues have been solved only 40 and more years later).
Thank you. The Sommerfeld's lectures are individually cheap to buy, so that's a plus point. I will also look forward buying Pauli's books.
 
  • #12
George Gamov's Thirty Years that Shook Physics (Amazon link) provides an interesting historical orientation that is well worth reading for gaining some in-advance perspective as you commence studying some of the more advanced material you're assigning yourself to read.
 
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1. What is the level of math proficiency needed to understand Feynman's Lectures?

The math required to learn from Feynman's Lectures is typically at an advanced undergraduate or graduate level. This includes a strong foundation in calculus, linear algebra, and differential equations.

2. Do I need to have prior knowledge of physics to understand the math in Feynman's Lectures?

While prior knowledge of physics can be helpful, it is not necessary to understand the math in Feynman's Lectures. However, a basic understanding of physics concepts and principles will aid in the application of the math.

3. Are there any specific branches of mathematics that are particularly important for understanding Feynman's Lectures?

The most important branches of mathematics for understanding Feynman's Lectures are calculus, linear algebra, and differential equations. Other areas such as complex analysis, group theory, and probability theory may also be useful.

4. How can I improve my math skills in order to fully comprehend Feynman's Lectures?

To improve your math skills for understanding Feynman's Lectures, it is recommended to practice solving problems and exercises in the relevant areas of math. Additionally, seeking out additional resources and seeking help from a tutor or mentor can also be beneficial.

5. Are there any online resources or tools that can assist in learning the necessary math for Feynman's Lectures?

Yes, there are several online resources and tools that can assist in learning the necessary math for Feynman's Lectures. Some examples include online courses, interactive tutorials, and practice problems. Additionally, there are also online communities and forums where you can ask questions and receive help from others studying Feynman's Lectures.

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