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98 views

Are physics advancements pure mathematical realizations? [closed]

Hello Physics Stack Exchange! I'm from Mathematics Stack Exchange and recently watched a TedTalk on the fabric of nature being mathematics itself. The more I pondered this, I wondered about the ...
1
vote
1answer
42 views

What additional things should I do to understand language of science [duplicate]

I am about to complete my High school. Typically, I study text books of science but it takes a lot of time to understand the concept resulting less time to do questions and due to which I get low ...
0
votes
1answer
47 views

PDE and Analysis Reference Request From Small College Grad [duplicate]

I am in my final semester graduating from a liberal arts college (physics/math major) and intend to study high-energy theory in graduate school. Coming from a smaller college I have not had the ...
4
votes
0answers
326 views

Are there any open problems in mathematics whose resolutions would have important physical implications?

Are there any open problems in pure mathematics whose resolutions would resolve a well-formulated open physics question, whose solution could (at least in principle) explain an experimentally ...
1
vote
1answer
117 views

Theory of Everything and the initial conditions

From what I've understood, the basic motivation behind the idea of "the Theory of Everything" (its modern attempt being M theory) is to find a simple rule which unifies all phenomena observed in ...
1
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1answer
114 views

Quote from Genius

In Genius Season 1 Episode 1 at 9:00, Young Albert Einstein defies his teacher by solving the equation on board and states Natural log of constant multiplied by x equals natural log of one plus v ...
3
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0answers
280 views

Representation Theory of $SL(2, \mathbb{C})$

I'm a PhD. in mathematics (working mainly in complex algebraic geometry), but I'm looking for a "convincing" answer concerning the various applications of representation theory of the group $SL(2, \...
3
votes
2answers
242 views

Is the Math That Enlightening? [closed]

I am a 61 year retired guy who truly is captivated with understanding the questions in physics. My primary interest in EM, visible light and the rest of the spectrum. It's not a fad. I have always had ...
1
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2answers
3k views

Application of calculus to physics

I am currently a 3rd year undergraduate electronic engineering student. I have completed a course in dynamics, calculus I, calculus II and calculus III. I am very interested in mathematics and ...
8
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1answer
2k views

Why does math work for describing and solving physics problems? [closed]

The clarified version As far as I understand, Wigner considers a "miracle" the fact that it is even possible to find a mathematical equation that describes a natural phenomenon. It is not exactly ...
2
votes
2answers
780 views

Physics without math [closed]

If anybody could imagine an advanced civilization with advanced knowledge of the universe(s) but without a mathematical language, how would they use their knowledge? How could it be possible to ...
-1
votes
2answers
214 views

Disproving the mathematical universe hypothesis [closed]

The mathematical universe hypothesis is claimed by Lee Smolin to be falsifiable: [...] it is easy to disprove the mathematical-universe hypothesis. Simply exhibit one property of the natural world ...
1
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0answers
50 views

Why do many equations need squared powers? [duplicate]

It seems that an equation factor must be “squared” as a convenient approximation to balance out some other series of factors invisibly . Might $E=mc^{1.95}$ work as well as $E=mc^2$? Might $A^2+B^2=C^...
4
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0answers
137 views

Why are so many relationships in physics described by equations? [closed]

Consider $f$, some mapping between two ordered subsets of the natural numbers, $A$ and $B$. I see two ways $f$ can be expressed. The first way is an equation that defines $f$ (i.e. $f(A) = 2A$). ...
1
vote
1answer
212 views

Feynman's question on the mathematical machinery underlying nature [duplicate]

Physicist Richard Feynman said in his lectures "It always bothers me that according to the laws as we understand them today, it takes a computing machine an infinite number of logical ...
-5
votes
1answer
539 views

How much pure mathematics do theoretical physicists know? [closed]

I'll be precise: how much mathematics (in terms of courses in a university mathematics department or mathematics textbooks) can a very good theoretical physicist be expected to know? If this depends ...
1
vote
1answer
36 views

Formula relating sum of values of a function to its integral

I came across the above formula in some quantum mechanics lecture notes explaining the Casimir effect. Anyone seen it before if so could you please tell me its 'name'. B refers to the Bernoulli ...
4
votes
2answers
153 views

Pointwise and uniform convergence. Examples from physics

I am a first-year mathematical student, and from a mathematical perspective I understand the difference between pointwise and uniform convergence of sequences and series of functions. However, I have ...
5
votes
2answers
7k views

Mathematics needed for string theory [duplicate]

I'm interested in cutting edge string theory studied by research physicist. I'm wonder what mathematics is needed and how far am I in terms of mathematics background needed and how much more ...
1
vote
1answer
222 views

Requirements prior to Quantum Mechanics [duplicate]

What are the requirements in physics and mathematics that somebody must have in order to start learning Quantum Mechanics by himself?
1
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1answer
67 views

Role of math in science [closed]

Is it important for a physicist to be good at math? Should he be on par with a mathematician? According to me physics and math are like English and biology we study them in the same language but they ...
2
votes
1answer
979 views

What kind of math is used in QFT? [duplicate]

What branch(es) of math are used in Quantum Field Theory? Or the question, by way of analogy: Tensor Calculus is to General Relativity as What is to Quantum Field Theory?
2
votes
2answers
205 views

How do you pronounce $\vec{A} \cdot \vec{B}$ and $\vec{A} \times \vec{B}$? [closed]

I'm French. I would like to know: How do you pronounce $\vec{A} \cdot \vec{B}$ : "A scalar B" or "A dot B" ? How do you pronounce $\vec{A} \times \vec{B}$ : "A vectorial B", "A vector B", "A cross B"...
3
votes
0answers
301 views

Learning Roadmap to Mathematical Physics [duplicate]

Currently, I am a graduate student specializing in algebraic geometry. On the other hand, I have also become extremely interested in the mathematical physics. However, I am not sure what steps I ...
2
votes
0answers
1k views

Mathematical Prerequisites for QFT [closed]

I am curious about which areas of mathematics one should be comfortable with before learning QFT. I am familiar with the "learn-it-as-you-go" approach often advocated in physics, but would like to ...
3
votes
0answers
52 views

Are there any applications of elementary number theory to science? [duplicate]

I've taken a class on elementary number theory (for fun), but now I wonder: was it at all useful to learn number theory for my future career in physics? More to the point, are there any applications ...
2
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0answers
40 views

Book for multivariable calculus [duplicate]

Hi I want to start learning multi variable calculus specifically for learning electrodynamics. What are some good text books?
2
votes
1answer
212 views

Why are there equations in physics with factors of 2, 3 and 5, but there aren't any with factors of 7 or 11?

I noticed that there are a lot of equations in physics with factors of 2, 3 and 5 (either in the numerator or in the denominator), but there aren't any with factors of 7 or any prime number greater ...
5
votes
1answer
694 views

Which is the role of Algebraic Geometry in String Theory? [closed]

Could someone sketch me what algebraic geometry has to do with string theory? Are there other mathematical disciplines that are interwoven with string theory? I'm aware of a similar question on math....
3
votes
0answers
129 views

To all experienced theoretical physicists out there, what is the step by step process in your math education? [duplicate]

I am not doing a physics degree but an engineering degree but i am planning using my free time to self study all the math in preparing myself to self study subjects in theoretical physics. (I've ...
1
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0answers
78 views

Are there some websites for self learning of advanced mathematics? [duplicate]

Are there some websites for self learining of advanced mathematics? For example there is perimeterscholars for self study of theoretical physics, but I haven't found some good websites providing ...
2
votes
2answers
2k views

Math required for learning Lagrangian mechanics [duplicate]

How much knowledge of maths is required for learning Lagrangian mechanics? Also from where can I learn this math?
8
votes
1answer
3k views

Math needed for undergrad Statistical Mechanics/Thermal Physics [duplicate]

A professor recommended me to take a course on Statistical Physics as preparation for agent-based computing in social sciences. Now I have no experience in physics beyond basic highschool, and ...
7
votes
2answers
5k views

How important is mathematical proof in physics?

How important are proofs in physics? If something is mathematically proven to follow from something we know is true, does it still require experimental verification? Are there examples of things that ...
1
vote
2answers
4k views

What Is The Difference Between The Maths That Physicists Use And The Maths On A Typical Mathematics Degree [closed]

Cross-posted to Math.SE here. Physicists are widely respected for using and sometimes even inventing mathematics yet physicists study Physics which is a subject in its own right. So surely someone ...
1
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0answers
105 views

Prequisite for the Feynman lectures? [duplicate]

It obviously requires single- and multi-variable calculus and linear algebra, but what else? And where do you suggest to get that background from?this isn't a duplicate because I'm for the math needed ...
9
votes
2answers
5k views

How deep can my knowledge of particle physics go without the maths?

By no means do I have the mathematical background to understand most of the math used in elementary particle physics. My current knowledge is of all the elementary particles and how they interact ...
-1
votes
2answers
1k views

How much pure math should a physics/microelectronics person know [duplicate]

I do condensed matter physics modeling in my phd and I was struck up learning quite an amount of physics. But while having done lot of physics courses, I see that if I learn pure math I would ...
1
vote
2answers
2k 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 ...
15
votes
2answers
5k views

How should a theoretical physicist study maths? [duplicate]

Possible Duplicate: How should a physics student study mathematics? If some-one wants to do research in string theory for example, Would the Nakahara Topology, geometry and physics book and other ...
15
votes
9answers
4k views

Is physics rigorous in the mathematical sense?

I am a student studying Mathematics with no prior knowledge of Physics whatsoever except for very simple equations. I would like to ask, due to my experience with Mathematics: Is there a set of ...
2
votes
3answers
8k views

What math is needed to understand the Schrödinger equation?

If I now see the Schrödinger equation, I just see a bunch of weird symbols, but I want to know what it actually means. So I'm taking a course of Linear Algebra and I'm planning on starting with PDE's ...
3
votes
0answers
678 views

Integrals given by Landau [closed]

Discussion about Landau's "Theoretical Minimum" has already been posted here. Unfortunately I couldn't find much about some examples of questions he gave to students. There are three questions in the ...
2
votes
3answers
2k views

Mathematics for Quantum Mechanics [duplicate]

What math should I study if I want to get a basic understanding of quantum mechanics and especially to be able to use the Schrodinger's equation.
5
votes
3answers
479 views

Distance education programs in physics [closed]

I am a postgraduate in mathematics, shifting from mathematics to physics. I studied physics during my B.Sc.studies.I want to go for further studies in physics particularly in theoretical physics. I am ...
35
votes
10answers
3k views

Readable books on advanced topics [closed]

I realise that there are already a few questions looking for general book recommendations, but the motivation and type of book I'm looking for here is a little different, so I hope you can indulge me. ...
12
votes
3answers
2k views

Mathematical Physics Book Recommendation [duplicate]

Possible Duplicate: Best books for mathematical background? I want to learn contemporary mathematical physics, so that, for example, I can read Witten's latest paper without checking other ...
27
votes
5answers
75k views

What is the math knowledge necessary for starting Quantum Mechanics?

Could someone experienced in the field tell me what the minimal math knowledge one must obtain in order to grasp the introductory Quantum Mechanics book/course? I do have math knowledge but I must ...
4
votes
7answers
3k views

For a theoretical (not mathematical) physicist, is there a need to learn pure mathematics?

For a theoretical physicist (not a mathematical physicist), is there a need to learn pure mathematics ?
2
votes
1answer
92 views

What interpretive difference is there between defining a function with or without a differential as a postfactor?

I have thought about this and looked for answers for a long time now, but I do not have any name or label for this problem, which is the reason for the long title of this question. I have come across ...