Mathematical Definition and 1000 Threads

So, I am about to read Landau's and Lifschitz's textbook on Quantum Mechanics. What kind of mathematics I should be already familiar with in order to completely understand the above mentioned material? Thanks for all the advice.

So, I am about to read Landau's and Lifschitz's textbook on Classical Mechanics. What kind of mathematics I should be already familiar with in order to completely understand the above mentioned material? Would real-variable calculus and linear algebra be sufficient for the task? Thanks for all...

Everyone seems to have their preferences, so I wonder what people prefer the least, or what they find to be the most difficult subject in math, sunject you could never get your head around etc etc? (I know it's different for everybody, that's why I'm asking)

I have almost finished my bachelor's degree in mathematics, with a minor in physics. A while ago I decided not to continue with physics on my master's degree, but to focus on pure mathematics while learning a bit of computer science as well. However, after planning out the two semesters of...

Homework Statement Prove that \frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+...+\frac{1}{\sqrt{n}}\geq\sqrt{n} for all n \in N Homework Equations The Attempt at a Solution p(1): \frac{1}{\sqrt{1}} = \frac{1}{1} = 1 = \sqrt{1} \geq \sqrt{1} Let \frac{1}{\sqrt{1}} + \frac{1}{\sqrt{2}} +...+...

Hello I'm interested in pursuing ecological studies. I'm trying to find out as much as I can about the nature of ecological science. I have seen some books in my school library about mathematical ecology and my ecology professor has said that ecology is pretty quantitative. I have hopes that...

Prefer me a book that covers entire Mathematics which is required for Physics Note: please consider me a new(3 years no touch of maths due to health issue) and the book you prefer me must have clear understanding of mathematical concepts subjects as follows #Algebra #Trigonometry...

So I've learned in biology about the amino acids forming chains/trees, and having different interacting "R groups" Can somebody link to me an animation or careful description of how a specific enzyme/protein moves its parts step by step on an atomic/molecular level? I cannot find one. I want...

What is the difficulty level of the CMI entrance exam?Is it tougher than IIT JEE?I am in std. 11 and I want to take up BSc Physics at UG level.Can one get through the exam by having a grip over the basic concepts of physics or does it require rigorous preparation like the IIT JEE(joining...

Homework Statement There are N dogs on the plane. Each dog chases the tail of the next dog with a speed of 1 (and the last dog is chasing the first). I want to prove that the dogs will eventually meet at a single point. 2. The attempt at a solution I defined a function that is sum of...

Homework Statement Hey all, this is my first post to the forum, but I've been reading for years. Anyways, I was reviewing a solution to a Compton Scattering derivation we learned in class, and am still trying to make sense out of it. Homework Equations Given, we have the initial and...

I am starting a maths major and I will going to go into pure maths. I am going to specialize in either analysis or discrete maths. I understand that mathematical analysis has a very strong connection to calculus and that discrete mathematics is used mainly in the cryptography and security...

I was planning to take differential equations with Linear Algebra, but there is a conflict so I can't take both. Finally there is a course called Introduction to Linear Programming In my Physics/Math Calendar, it doesn't say I have to take it, so I am wondering what is it really...

Homework Statement Consider the sequence of real numbers x1, x2, x3,... defined by the relations x1 = 1 and xn+1 =\sqrt{1 + 2xn} 1. Use mathematical induction to show that xn+1 > xn for all n \geq 1. The Attempt at a Solution I'm a bit thrown off by this question because it...

Hello, so I've been in the forex market (currency trading and exchanges) for quite some time, I've done reasonably well, however I was curious as to how perhaps calculus and other mathematical methods could benefit me. Basically, I am a day trader...I wanted to know if there is a way to predict...

Hi I will like some advice. I intend to know more about mathematical modelling. Can anyone recommend any useful books, websites of software? How does one develop an interest in it? I will like to specialise in the modelling of energy systems and not sure how to do it. Please advise

This has been bothering me for a long time. I hope someone in this forum will help me clear my confusions. So the way I approach mathematics is by working carefully over the concepts. I reread the concepts till they become crystal clear.( This has been painful for some of my classes like real...

Take the usual time-independent perturbation theory in QM for example,H'=H_0+V, a basic assumption is we can expand the new states of H' in terms of the old ones of H_0, most of the textbooks justify this assumption by reasoning that the set of eigenfunctions of Hamiltonian is complete...

Hi, In Copenhagen Interpretation, the wave function is just a mathematical tool that has no physical reality. In Bohmian Mechanics, the wave function has objective reality as some kind of field. Why can't we have both where the wave function has objective reality as some kind of field...

OK, I need help putting this into mathematical notation. 2 and 3 being the first two prime numbers make up the basic pattern in primes of 6(n)+-1 which accounts for 2/3 of all factorable numbers giving way to highly composite numbers. This factorability is the reason a base 12 system lends...

I just got of the phone with departement and I have heard good things about the program. Pros I may not need to retake math courses I already took in engineering. The program is only one year. 4 months school, 4 months internship and 4 months school. Department has 100% sucess rate of finding...

I realize that inertia is the tendency of an object to maintain its present state of motion. Now I am attempting to attach a mathematical definition to this concept. In searching, however, I am finding instances of it being defined variously as kg, kg/m^2, m/s^2, as well as other creative...

What are your thoughts. Some questions ... If we have a 4th space dimension: What does it look like? (A brane is 2d) What is in it? (Gravity, dark energy) Can a 2d or 3d “particle” be residing or coming from a one dimension? Do parts of a “particle” exist in ALL of the 4 dimension? Do...

Just of out of curiosity, is it possible to rigorously define the notions of variable and constant? It seems to me that if these notions don't have rigorous definitions, then our way of thinking about mathematics pretty much falls apart.

I am a high school senior now and I would love to pursue a career in math. I have been doing some research on the track from undergrad to grad school to tenure, and there's one thing I don't quite understand: research. I understand what research might be for life sciences or social...

i want to learn how to use experimental data to produce effective mathematical model for good prediction of any phenomenon. my mathematical background is : i know about single and multivariable calculus,college algebra,introductory probability theory,trigonometry,vector algebra and calculus,and...

Mathematical uses of the preposition "of" Dear Professors, I am looking for any articles on the uses of the preposition "of" in mathematics. I once read in a teacher's edition of a pre-algebra textbook that suggested students should be taught, as early as possible, the many uses of the...

Homework Statement let X be a random variable with uniform p.d.f over the interval (0, theta) Determine whether 2X-bar (sample mean) is an unbiased and consistent estimator for theta Homework Equations bx(theta)=EX-theta The Attempt at a Solution By using normal...

I'm guessing it depends on how many factors/how unpredictable a subject is, what is it really? What makes mathematical finance so rigorous- requiring a phd in math/finance- while something like systems biology or pharmacokinetics only requires knowledge up to linear algebra?

Hey guys, this is a problem given to us by our professor in one of the worksheets. I would like an opinion to see if this proof is valid Homework Statement Use mathematical induction to prove that 3^{n}+7^{n}-2 is divisible by 8 for \foralln\inZ^{+}Homework Equations Base step: n=0...

Okay so let's say (hypothetically of course) I am on my third attempt at the final Calc course in the series at my college. I feel like my foundation of even simple mathematics and arithmetic is unstable to say the least for me. I enjoy the concepts of math and what it could be used for but...

Some people call it physics that simply is more difficult or reliant on mathematics. I was wondering if anyone could enlighten me a bit more as to what types of maths and physics areas are generally equated with mathematical physics.

Hi all, I have a question. I'm hoping to be a theoretical physicist, but I'm finding I really don't know the first thing about mathematics. I can plug and chug with the best of them, and I have a feel for various integration techniques, and I know enough tricks to get by (Fourier series, Fourier...

I think there are only two primary languages, i.e. natural language and mathematical one, which we use to communicate . If we go one step further, then I would say even mathematics is a subset of natural language where we use symbols and other signs to represent our concepts, ideas into...

Mathematical induction...please help me! _{}a1 =1, _{}a2 =1,_{}a3 =2,_{}a4 =3..._{}an = _{}an-1 + _{}an-2 is a Fibonacci series...Prove That ^{2}_{}an+1 = _{}an _{}an+2 =(-1)n

mathematical explanation of maximum speed limit "c' [SIZE="3"]i have tried many texts and searched but can't find particular mathematical proof or explanation of how sp.theory le[FONT="Book Antiqua"]d to conclusion that maximum velocity limit is "c"

I realize this might be a little bit of academic advisement, but I think it'd be more useful to have some people who really know a lot about the subject post about this. I like math a lot, and specifically I was wondering about number theory or set theory and logic, which is interesting but I'm...

Are we made of pure mathematics? Is everything in universe mathematics? I mean, everything in physics is "written" in math. Looks like that the definitive theory of everything will be pure mathematical. Matter & Energy = Pure Math?

Homework Statement If a gas is described by Van der Waals eqn (p+a/v^2)(v-b)=kT, find the critical pint p_c, T_c,and v_c Homework Equations The Attempt at a Solution Actually this is just one intermediate step I got stuck for my stat mech homework, I don't even know the mathematical...

Hi all, I am trying to prompt the user to enter a mathematical function in matlab. Any suggestions on how to do this? I have looked at the inline functions but I am not sure how to code it. Any help is greatly appreciated. Ed

hi, please suggest me a good book/s for selfstudy on mathematical physics, which gives a detailed explanation, and how should be the study approach for selfstudying, i feel I'm good at algebra :) Thanks :)

What is this class like? Is it very hard? I took an intermediate macroeconomic theory course a couple of semesters ago. One of the prerequisites for this class is Probability. I will be taking that next semester. I wonder if I could take these two classes concurrently.

(3*e^(-2s))/(s(s+5)) I was hoping someone could tell me how to find the partial fraction for the above; the answer i ended up with was: (3/5)/s - (3*e^(10))/(s+5) and i went about it by: (3*e^(-2s))/(s(s+5))=A/s+B/(s+5) (3*e^(-2s))=A(s+5) + B(s) set s=-5 and found B=-3*e^(10)/5 set s=0...

Im practicing inductions on my own and I am getting stuck on one in particular... S_n = \frac{3(3^n-1)}{2} for a_n = 3^n I know that S_1 = 3 when you plug 1 into the equation, because it is the first term in the sequence Therefore, S_1 = a_1 = 3 I need to prove then S_{n+1} =...

Hey guys, How can I proove the cardinal number of R is equal to the cardinal number of {x|0<x<1}?? Thanks~~~

I'm not a chemist, but I was wondering there are any promising fields in mathematical chemistry. Not necessarily chemical engineering/physics-wise, more so to do with molecular structure, topology, etc. Is there any chance an undergrad would be able to participate in this area of research? Or is...

Hi, I'm trying to learn mathematical induction for proving inequalities, but there is just one step I cannot get past: finding another inequality that is added to the inductive hypothesis. For example, in this problem: Prove for all positive integers (n >= 1), prove 3^n + 2 >= 3n. I...

Homework Statement Give the two common forms of the mathematical equation for slope (involving X & Y)? Homework Equations ? The Attempt at a Solution Can you guys please give me the two common forms of the mathematical equation for slope? I don't know what it is but I am guessing...

Is "Infinity" only a mathematical concept or is there anything infinite in reality? I mean ∞ is indeterminate in a way such that any of the following expressions can be constructed: ∞ - ∞ = 1, ∞ - ∞ = 0 ∞ - ∞ = ∞ Is there anything in reality that can actually behave like that?

Homework Statement Let f(n + 1) = 3f(n) + 8, with f(1) = 11. Prove by induction that f(n) = 5 x 3^n - 4.Homework Equations The Attempt at a Solution I don't even know where to start! Any help would be appreciated. Thanks. :-)