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Rescued from obscurity, Feynman's Lost Lecture is a blessing for all Feynman followers. Most know Richard Feynman for the hilarious anecdotes and exploits in his best-selling books "Surely You're Joking, Mr. Feynman!" and "What Do You Care What Other People Think?" But not always obvious in those stories was his brilliance as a pure scientist--one of the century's greatest physicists. With this book and CD, we hear the voice of the great Feynman in all his ingenuity, insight, and acumen for argument. This breathtaking lecture--"The Motion of the Planets Around the Sun"--uses nothing more advanced than high-school geometry to explain why the planets orbit the sun elliptically rather than in perfect circles, and conclusively demonstrates the astonishing fact that has mystified and intrigued thinkers since Newton: Nature obeys mathematics. David and Judith Goodstein give us a beautifully written short memoir of life with Feynman, provide meticulous commentary on the lecture itself, and relate the exciting story of their effort to chase down one of Feynman's most original and scintillating lectures.… (more)
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I never studied Physics in school, but read a few books on the subject over the years, especially when my interest in Astronomy hit a fevered pitch around twenty-five years (or more) ago. Fortunately, I have a gift for all-things-mathematical, and was able to follow his lecture while driving at 70 mph up the highway. Planetary Motion explained in Plane Geometry – and done so eloquently! Then he follows that up with (if I recall correctly) an explanation of Rutherford’s Law (the scattering of subatomic particles) using PG again! When the lecture was over, the tape recorder was left running for another fifteen minutes as students came up to him and asked questions about various aspects of his lecture. He was generous to a fault with his time and his enthusiasm, and worked out the misunderstanding/answers with them.
Feynman speaks in the same style as he writes. Engaging would be a good word to start with. It was thrilling to hear him make comments to himself, give brief asides about a point he had just made, off-the-cuff remarks… The man was as brilliant as they come, and endlessly curious.
I can’t comment about the book because it is not available to me. So, suffice to say that if you have a half-way decent background in Math, you could probably learn from listening to the CD. If you have a nerdy side to you, you’ll probably like this more than you’d prefer to admit. I wish I had more professors with his level of enthusiasm when I went to college!
But, it's not a bad lecture and it comes with a story about how it was reconstructed. So, it's another labor of love for a man who makes us proud to
It's approximately the same level of material that's in Six Easy Pieces. I think I would've liked it better if I'd heard it before SEP. As it is, it was a lot of money for "just one more lecture".
I'd say, "Get it if you're considering getting SEP". It's a taste of what you're getting yourself into.
Now for a discussion of chapter 3. The first part is just about the properties of ellipses. There are two allied facts:
* the old string and push-pins construction, which you can make a formula of
* a light at one focus will have all its rays reflected back to the other focus
Geometrical constructions relating these two facts are developed.
There is also one interesting corollary. Take a circle. Choose a point in the circle that is not the center. The circle and the choice of the second point define an ellipse constructed according to a particular formula. The illustration of this fact in the book, on page 79 is not quite right:
Draw a line through F and F' which intersects the ellipse and the circle. Call the intersection on the ellipse closest to F', E', and the intersection on the circle closest to F' C'. Then F'E' must equal E'C', but in the diagram they are noticeably different.
Nonetheless, the geometric relationships are worth pondering.
One statement of the theorem:
Let F, F' be the two foci of the ellipse. Let D be the distance from F to any point p on the ellipse to F'. By the definition of ellipses, D is a constant. Let t be the line tangent to the ellipse at some arbitrary point P on the ellipse. Then it must be the case that the angle between the tangent and FP is equal to the angle between the tangent and F'P.