206x 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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