Top 10 Physics & Math Works of All Time

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SUMMARY

The discussion identifies key physics and mathematics works deemed essential, including Newton's "Principia," Euclid's "Elements," and Einstein's "On the Electrodynamics of Moving Bodies." Significant contributions from James Clerk Maxwell's "A Treatise on Electricity and Magnetism" and Hermann Grassmann's foundational texts on linear algebra are highlighted. Additionally, Henri Poincaré's "Analysis Situs" and Grigori Perelman's proof of the Poincaré Conjecture are recognized for their impact on their respective fields. The conversation emphasizes the importance of these works in shaping modern physics and mathematics.

PREREQUISITES
  • Understanding of classical mechanics and Newtonian physics.
  • Familiarity with basic concepts of algebraic topology.
  • Knowledge of linear algebra and its historical development.
  • Awareness of the significance of mathematical proofs in theoretical mathematics.
NEXT STEPS
  • Research Hermann Grassmann's contributions to linear algebra and differential forms.
  • Study Henri Poincaré's "Analysis Situs" for insights into algebraic topology.
  • Explore Grigori Perelman's proof of the Poincaré Conjecture and its implications.
  • Examine the historical context and impact of Maxwell's "A Treatise on Electricity and Magnetism."
USEFUL FOR

Students, educators, and researchers in physics and mathematics, particularly those interested in the historical development of key theories and concepts.

Geremia
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What are the top 10 physics and mathematics works of all time? I would definitely put Newton's Principia, Euclid's Elements, Galileo's Discourses, Einstein's On the Electrodynamics of Moving Bodies, etc., on the list, but what else?
 
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A Treatise on Electricity and Magnetism by James Clerk Maxwell is one for physics.

Although I've never read his work, http://en.wikipedia.org/wiki/Hermann_Grassmann" wrote two major papers/texts, (1) The Theory of Linear Extension, a New Branch of Mathematics and (2) The Theory of Extension, Thoroughly and Rigorously Treated. In these he created linear algebra (and in the form we know it today), and his work lead to the later development of differential forms and exterior algebra. This work is significant because although revolutionary, it was ignored his entire life, never credited, and he remained a high school teacher, never attaining a professorship.

Also, Analysis Situs by Henri Poincare, a treatise on algebraic topology.

There's probably something by Alexander Grothendieck that deserves to be on this list, but I'm not familiar enough with his work. His work is also rather fragmented due to his isolation.

Although it there is a natural feeling that only works that created whole fields (which is rare) should go on here, Grigori Perelman's proof of the Poincare Conjecture is a huge feat of mathematics.

And last, but not least, Calculus by James Stewart...hahahahaha.
 
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I forgot! The Archimedes Palimpsest, which contain his most influential works.
 

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