369x Filetype PPTX File size 0.24 MB Source: www.physics.sjtu.edu.cn
Physics is at the crown of
science
• Physics method is very useful, now used in many
different areas
• Physics laws are very useful, universal.
• Other areas of studies have also helped advances in
physics.
• Physics is at the crown of science.
Physics is closed related to
other fields
• Math
• Chemistry
• Biology
• Engineering
• Financial market
• Social science
• Archeology
• ….
Physics and Math
• Physics is science but math is not
• Math starts with definitions and axioms and derive
consequences, no observation is need, no
falsification needed.
• Math in some sense is a logical system.
• However, it is amazing to see that math is a useful
language for physics.
Why it is so amazing?
• How can the moving trajectory of an object can be
described by a math equation or curve?
• Almost all laws of physics can be written down as
math equations: differential equations
• Thus exploring the consequence is solving the
equations.
• The equations have certain beauty, like F=ma,
Maxwell equation, Schrodinger equation, Dirac
equation, Einstein equation…
Relationship
• New math is discovered in physics, but math is also
useful for physics discoveries.
• Math is useful for smart thinking: an important part
of physics
• Math is an indispensive tool.
• We still don’t have enough math to understand
some deep physics
• However, physics is not math. Many traditional
teaching of physics turning into math exercise!
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