Mathematics required for a physicist

In summary, the necessary fields of mathematics for becoming a theoretical physicist include calculus, differential equations, linear algebra, complex analysis, and geometry. Additional mathematical knowledge and skills can greatly benefit one's understanding and problem-solving abilities in theoretical physics.
  • #1
F1225
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Hi all.
I am a first year freshman in B.Sc Physics and i am wandering that what fields in mathematics that is required for us to become a theoretical physicist?
As i know calculus is the fundamentals of physics,right? o_O
Correct me if i am wrong. Thank you :smile:
 
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  • #2
In all honestly... the more mathematical course you have under your belt, the more prepared you will be for theoretical physics. You never know when some obscure mathematical topic will give you the key insight into solving a problem... look at Feynman.

That being said,
-Differential Equations
-Linear Algebra
-Complex Analysis

These are the big three in my opinion (modeling and numerical analysis are also very helpful if you want to count these are math courses).
 
  • #3
Oh thanks for the advice..how about geometry? Do we use them often in theoretical physics as well?
 
  • #4
Check out the table of contents (available at amazon) of the books I list which cover the math required for each level:

Math for undergrad-level physics: Check out Mary Boas' book and Shankar's "Basic Training in Mathematics". This stuff is mostly Calculus I-III, Ordinary Diff Eqns, Basic Complex Variables and Matrix Algebra.

Math for beginning grad-level physics: Check out Hassani's "Mathematical Physics: A Modern Introduction to its foundations" and Stone & Goldbarts "Mathematics for Physics: A Guided Tour for Graduate Students". These are more advanced topics such as Calculus of Variations, Hilbert Spaces, Basic Differential Geometry, Partial DE's, Green's Functions, Group Theory etc.

Math for advanced graduate/research level theoretical physics: Nakahara's "Geometry, Topology and Physics" Very advanced. I haven't gotten to this level yet but from what I can tell, its Algebraic Topology and Differential Topology/Geometry and the connections to physics.
 
  • #5


Hello,

I can tell you that mathematics is an essential tool for physicists. Calculus is indeed a fundamental aspect of physics, as it helps us understand and describe the concepts of change and motion. However, beyond calculus, a theoretical physicist also needs a strong understanding of linear algebra, differential equations, and complex analysis. These fields of mathematics are important for solving mathematical models and equations that describe physical phenomena.

In addition, a theoretical physicist must also have a good understanding of statistics and probability theory, as these are crucial for analyzing and interpreting experimental data. Furthermore, knowledge of geometry and topology can be useful in understanding the structure and properties of space and time.

Overall, a theoretical physicist must have a solid foundation in a wide range of mathematical concepts to be able to develop and explore new theories and models in the field of physics. I hope this helps answer your question. Best of luck in your studies!
 

1. What type of mathematics is required for a physicist?

A physicist must have a strong foundation in calculus, linear algebra, and differential equations. They should also have knowledge of complex analysis, vector calculus, and probability theory.

2. Why is mathematics important for a physicist?

Mathematics is the language of physics and is essential for understanding and describing the laws and principles of the universe. It allows physicists to make precise calculations and predictions.

3. Can someone become a physicist without being good at math?

It is highly unlikely that someone can become a successful physicist without being good at math. A strong understanding of mathematical concepts is crucial for solving complex problems and developing new theories.

4. How can I improve my mathematical skills for physics?

Practice is key to improving mathematical skills for physics. It is important to work through problems and seek help when needed. Additionally, reading textbooks and attending lectures can also aid in improving mathematical skills.

5. Is it necessary to have a math degree to become a physicist?

While a degree in mathematics can be beneficial for a physicist, it is not always necessary. Many physicists have degrees in physics or engineering and develop strong mathematical skills through their coursework and research.

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