What were Leonhard Euler's contributions to physics?

Leonhard Euler was a prolific 18th-century Swiss polymath whose work extended deeply into physics alongside mathematics. He reformulated Isaac Newton's laws of motion into new analytical laws within his two-volume work Mechanica and made foundational discoveries in fluid dynamics, optics, acoustics, and elasticity. His research also covered applied areas such as astronomy, engineering, beam bending, and ship design.

What we know

• Leonhard Euler reformulated Isaac Newton's laws of motion into new mathematical laws in his two-volume work Mechanica to better explain the motion of rigid bodies. [5]
• Euler formulated the partial differential equations for the motion of inviscid fluids and laid the mathematical foundations of potential theory. [5]
• Euler contributed to optics by writing three volumes that helped improve the design of microscopes and telescopes. [5]
• Euler studied elastic deformations of solid objects, beam bending, and column critical loads, and his work also touched upon mechanics and astronomy alongside his son Johann Euler's contributions to physics. [3, 5]

Where to go next

• how it workedHow did Euler reformulate Newton's laws of motion?
• a case in pointWhat are Euler's equations in fluid dynamics?
• whoHow did Johann Euler build upon his father's physics work?
• the bigger pictureWhat role did Euler play in the history of mathematics?
• what followedHow did Euler's work influence later physicists and mathematicians?
• an unexpected connectionHow did a mathematician's work on ships impact practical engineering?Although primarily celebrated for abstract mathematics and theoretical physics, Euler directly applied his scientific insights to practical problems like ship design and navigation.

Sources

• [1]Contributions of Leonhard Euler to mathematics (Wikidata Q89692800) · CC0 1.0
• [2]Contributions of Leonhard Euler to mathematics · CC BY-SA 4.0
• [3]Johann Euler · CC BY-SA 4.0
• [4]List of topics named after Leonhard Euler · CC BY-SA 4.0
• [5]Leonhard Euler · CC BY-SA 4.0