All Questions
Tagged with calculus mathematics
10
questions
14
votes
5
answers
2k
views
Infinite series of derivatives of position when starting from rest
Suppose you have an object with zero for the value of all the derivatives of position. In order to get the object moving you would need to increase the value of the velocity from zero to some finite ...
- 141
2
votes
3
answers
4k
views
Good math books for physicists [duplicate]
In his first lesson (transcripted in "Tips on Physics"), Feynman talks about math for physicists in a very cool and practical way. And at the end of the section he talks something like "so the first ...
14
votes
4
answers
22k
views
How do you do an integral involving the derivative of a delta function?
I got an integral in solving Schrodinger equation with delta function potential. It looks like
$$\int \frac{y(x)}{x} \frac{\mathrm{d}\delta(x-x_0)}{\mathrm{d}x}$$
I'm trying to solve this by ...
- 325
8
votes
4
answers
1k
views
Struggling understanding definitions with infinitesimal quantities
Many quantities in physics are defined as ratio of infinitesimal quantities. For example: $$\rho(x)=\frac{dm}{dx}$$
or
$$P(t)=\frac{dW}{dt}$$
Are these quantities actually derivatives? I mean if we ...
- 1,648
1
vote
2
answers
3k
views
Level of calculus required for physics [closed]
First time for me here so kindly let me know if I violate the rules - especially if this is a duplicate.
After reading the page how to become a good theoretical phycist, I started a serious revision ...
3
votes
3
answers
389
views
Do infinitesimals exist in nature? [closed]
My question is related to what is the physical content of infinitesimals. In mathematics the infinitesimals as hyperreals (Robinson 1960) are introduced as numbers greater than 0 but smaller than any ...
- 651
1
vote
1
answer
195
views
Equation 13.20 of Peskin & Schroeder
I don't quite understand some skipped steps in the book An Introduction to Quantum Field Theory, by Peskin & Schroeder. Here is an example, I don't know why Taylor series would lead to this.
In ...
- 37
1
vote
3
answers
12k
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Does the SUVAT equations of motion (Kinematics) come from some differential equation?
Wikipedia says about the equations of motion that;
"If the dynamics of a system is known, the equations are the solutions for the differential equations describing the motion of the dynamics.&...
0
votes
3
answers
2k
views
How to derive kinematics equations using calculus? [closed]
I read derivation of kinematics equations using calculus:
$$a=\frac{\text dv}{\text dt}$$
$$\implies \text dv=a\text dt$$
$$\implies \int_{v_0}^v\text dv=\int_0^t a\text dt$$
$$\implies v-v_0=at$$
$$\...
- 259
0
votes
1
answer
73
views
Calculus and trigonometry course
Can anyone please tell me any book or refer any kind of short term course on calculus and trigonometry required for physics.