Mathematics Definition and 995 Threads

  1. CuriousLearner

    A The physical constants: relationship to mathematics?

    Do we have any examples of physical constants appearing in topics that are focused more on abstract mathematics? For example, do the values of the physical constants ever appear in the results of papers on mathematics that are not focused on direct applications to physics? Could they do so if...
  2. micromass

    Insights Omissions in Mathematics Education: Gauge Integration - Comments

    micromass submitted a new PF Insights post Omissions in Mathematics Education: Gauge Integration Continue reading the Original PF Insights Post.
  3. Gary Motta

    Can retired scientists still contribute to the scientific community?

    I have seen some of the questions students ask in the forum and think that I may be able to help. I am missing the classroom experience, so this my be one way to recapture some of that rewarding experience.
  4. J

    Geometry is important for vector analysis?

    Hello from Italy I'm switching from CS to Physics BS because i personally find it more various and interesting (and in Rome there is one of the best physics school in the world). Mathematical analysis is a common subject and my credits will be recognised but i didn't study Linear algebra yet...
  5. M

    Schools Tips for a freshman mathematics university student

    Next year, I will study mathematics at university. I think I'm well prepared, I already did some linear algebra (I got some books from my brother who studies physics and the mathematicians and physicists share some courses in the first year) and with effort it seems to work out. But, are there...
  6. J

    Relativity Callahan's "The Geometry of Spacetime"

    Hello, I was wondering if anyone knows about the the book "The Geometry of Spacetime: An Introduction to Special and General Relativity" by Callahan and what their opinions are. Thanks!
  7. C

    Engineering BS Mathematics to EE Master or Graduat Minor

    I'm considering going after a MS in Electrical/Minor Math or Masters Math/Minor electrical. I have BS in mathematics. I am completing the background EE courses as needed. What areas of EE are the best fit for someone who had a strong interest in Analysis and continuous mathematics? I was...
  8. A

    Mathematics courses for a PhD in Control Engineering

    Hi, I am new here and this is going to be my first post. I am pursuing an undergraduate degree in electrical engineering and I am absolutely fascinated by control engineering. I want to know whether I should take advanced math courses in order to better prepare myself for a PhD in Control...
  9. M

    Looking for friends to talk about Physics, Mathematics etc

    Hello everyone. I am looking for someone to talk, correspondence about Physics etc. I read a great autobiography of Leopold Infeld, great Polish physicist. He claims that "If you have someone to talk about your field of study you will learn a lot from it." . If you are interested in this kind of...
  10. pairofstrings

    Language and Compiler built for Mathematics

    Hello, I want to know: 1. Compiler name built especially for doing full-fledged mathematics. 2. Langauge name built especially for doing full-fledged mathematics. 3. Integrated software development environment name built especially for doing full-fledged mathematics. 4. Language, compiler and...
  11. B

    Studying Am I Reading Math Textbooks Efficiently?

    Dear Physics Forum friends, I am an undergraduate at US actively pursuing mathematics and microbiology. Recently, I started to evaluate my methodology of reading books in the mathematics, which raised me some concerns and worry that I want to share with you, and seek advice from you. Whenever...
  12. B

    LaTeX Where to Learn LaTeX for Mathematics?

    Hello! I am trying to write my notes in mathematics to permanently store my knowledge, and I am trying to learn LaTeX but it is quite difficult for me...Could you recommend me some sources and books to learn LaTeX for mathematics?
  13. J

    Intro Physics Any suggestions on books? (Physics & Engineering)

    I just finished my A levels in math's/physics. I decided to take a year out before I start an engineering degree. I'm looking for books to study on my work break's and any down time I get. I was looking at the 'Physics for Scientists and Engineers' by authors like Feynman and Serway. They can...
  14. ecoo

    Rearrangement of the letters "mathematics" (probability)

    Homework Statement What is the probability that a random rearrangement of the letters in the word "mathematics" will begin with the latters "math"? Homework Equations Probability = (# of desired results) / (# of total results) The Attempt at a Solution The solution I got was (2*2*2*1) /...
  15. micromass

    Insights Comments - How to self-study algebra. Part II: Abstract Algebra - Comments

    micromass submitted a new PF Insights post How to self-study algebra. Part II: Abstract Algebra https://www.physicsforums.com/insights/wp-content/uploads/2016/06/aastock6.png Continue reading the Original PF Insights Post.
  16. PhysicsKid0123

    Other Computational mathematics vs Applied Mathematics

    Hello PF community, I have a question about a choice that I need to make soon and I would like some opinions from the community. So I am double majoring in physics and applied mathematics at the moment, and I have been thinking about changing my second major to computational mathematics instead...
  17. Physics-UG

    Programs Physics and mathematics or physics and astronomy?

    I was hoping someone could shed some light on a current predicament I'm having. Although I don't have the knowledge to make a real decision yet (only first year), I enjoy string theory, quantum mechanics (and quantum gravity), as well as cosmology. Based on these areas of interest, I'm unsure of...
  18. A

    B How Do I Linearize My Negative Parabola Graph?

    Hello! I'm completing my IB Physics IA and after collecting my data and plotting the raw graph my graph seems to be a negative parabola. In order to linearize it I though one had to square the x-axis data; however I simply get the same graph shape. What am I supposed to do? Only when I plot the...
  19. T

    I Change of variable - partial derivative

    I am trying to prove that the above is true when performing the change of variable shown. Here is my attempt: What I am not quite understanding is why they choose to isolate the partial derivative of ##z## on the right side (as opposed to the left) that I have in my last line. This ultimately...
  20. P

    Intro Physics Which book to read the summer before starting Physics?

    I'm starting my 1st year of Physics at university in September. Although I've learned a lot of single variable Calculus and various topics of Physics this year, I'd like to get a general overview of the topics touched in a 1st Physics course at uni. I just wonder if there's an equivalent to...
  21. J

    Applied Mathematics for physicists books (poll)

    Hello, i want to get a mathematics book for physicists, and i have stumbled across some good books, but as i have not read them yet, i can't really decide which one to buy. So, which one do you prefer and why? Also, do you have any other book to recommend? Thanks!
  22. L

    Physics Physics or Applied Mathematics Undergraduate Degree

    My son is a college freshman at an Ivy League college. He is currently taking classes in Applied Math and Physics but will have to choose a major by the end of sophomore year. He is interested in going to graduate school but is not entirely certain where he would like to work. He is not...
  23. MexChemE

    Other What Are Your Favorite Textbooks for Chemical Engineering?

    Hello, PF! I had been meaning for some time already to start a thread like this, in which we can share our personal, technical (math, physics, engineering) library (as a list or in pictures too), and also recommend your favorite textbooks or handbooks. Here is my collection so far, as a junior...
  24. M

    Studying How can I implement the principles of deliberate practise in Mathematics?

    I have been reading a lot of books on deliberate practise like Grit - Angela Duckworth, Talent is Overrated - Colvin and Peak - Ericsson and Pool and I'd like to implement the principles in my training to become a good mathematician. There isn't much advice on how to apply these principles to...
  25. raphalbatros

    B How is it that mathematics describe reality so well?

    Humans created that tool, that language, that consists of axioms and their implications. Mathematics do a good job of communicating the behavior of physical phenomena. In some instances, pure mathematical areas have been found to describe some aspect of reality, only years after having been...
  26. Gimblestitch

    Schools Open University - BSc Mathematics and Physics?

    Good, bad or indifferent? Any ideas or suggestions? Gimblestitch
  27. micromass

    Insights Problems with Self-Studying - Comments

    micromass submitted a new PF Insights post Problems with Self-Studying Continue reading the Original PF Insights Post.
  28. W

    Mathematics required for physics

    Hi there, I'm currently a second year chemistry student in the UK. Since starting my degree I've found myself interested in theoretical/quantum chemistry. I would like to apply for a PhD programme in theoretical chemistry, which follows courses in quantum mechanics/statistical thermodynamics. I...
  29. Sahil Kukreja

    Studying What next to study in Mathematics

    Hi Everyone, I have completed high school mathematics which has: 1.) Algebra 2.) Trigonometry 3.) Co-ordinate geometry rectangular co-ordinates 4.) Basic Vectors and 3D geometry 5.)Calculus:- Functions Limits Continuity Differentiability Functional Eqns...
  30. Bumpeh

    Courses Good Math Electives for Astronomy

    Hello everyone! So, I'm currently double majoring in Math and Physics at my University. My end goal is to hopefully go onto graduate school to earn a PhD in Astronomy, the specific areas of Astronomy I'm interested in are Observational Astronomy, Instrumentation and Planetary Science. Here are...
  31. liometopum

    Professor's airplane math leads to flight delay

    This was too funny to not share. Numerous agencies are picking up the story, but just in case:Professor's airplane math leads to flight delay An Ivy League professor said his flight was delayed because a fellow passenger thought the math equations he was writing might be a sign he was a...
  32. Tap Banister

    I Can mathematics disagree with the real world?

    Are there "things" mathematics describes that can't exist in the real world; things mathematics says can exist but are actually impossible to ever exist in the world we live in? Also, are there things that do exist in our world that mathematics says can't exist? The obvious answer to me is no...
  33. Bumpeh

    Schools Getting into Physics Grad School with a Math Degree

    I've seen a few threads discussing a topic similar to this, and I've been making some serious considerations and thinking about things. I'm currently debating switching over from a Physics major to a Math major and minoring in Physics. There are a few various reasons to do this, one being it...
  34. S

    The principle of least Action proof of minimum

    Homework Statement Reading Feynman The Principle of Least Action out of The Feynman Lectures on Physics, Vol 2. Link to text http://www.feynmanlectures.caltech.edu/II_19.html So I'm having a problem proving that, section 19-2 5th paragraf, that "Now the mean square of something that deviates...
  35. S

    Other What mathematics programs will I use during my education?

    I'm currently building a PC and I want to buy components that will be able to support whatever programs/software I will be using while getting my degree. I'm going to be starting the physics program at my university this fall so I don't really know what my professors will be having me...
  36. micromass

    Insights How to Self-study Analysis. Part Ii: Intermediate Analysis - Comments

    micromass submitted a new PF Insights post How to self-study analysis. Part II: intermediate analysis Continue reading the Original PF Insights Post.
  37. N

    A Can infinity be observed in the real world?

    To what extent is the term infinity used in the physical world. When talking in terms of mathematics we can have a set of all natural numbers called an infinity, then we can have a value that comes after this set of infinity (lets call it 'a'). After 'a' comes 'a+1' then after this set of...
  38. micromass

    Other Micromass' Insights on how to self-study mathematics

    How to self-study mathematics https://www.physicsforums.com/insights/how-to-study-mathematics/ How to self-study basic high school mathematics https://www.physicsforums.com/insights/self-study-basic-high-school-mathematics/ How to self-study calculus...
  39. K

    Schools University Mathematics Abstraction

    I'm currently a first year MathPhys student, and next year I have to decide my stream. I can pick a combination (pure) Mathematics, Applied & Computationtal. Mathematics, Statistics, MathSci, Physics, Theoretical Physics or Physics with Astronomy & Space. Naturally there are restrictions, and I...
  40. C

    Mathematics of The Multi Dimensional Universe

    What are the mathematics behind multiple dimensions? Does mathematics allow for the existence of more than four dimensions? What allows the ability to possesses more that four dimensions, if there is already proof? I looked around, but I didn't find much by way of the answer I was looking for.
  41. NatFex

    I Proving De Moivre's Theorem for Negative Numbers?

    Or basically anything that isn't a positive integer. So I can prove quite easily by induction that for any integer n>0, De Moivre's Theorem (below) holds. If ##\DeclareMathOperator\cis{cis} z = r\cis\theta, z^n= r^n\cis(n\theta)## My proof below: However I struggle to do this with...
  42. MidgetDwarf

    Programs Pure Math or Applied Mathematics

    I have a big choice to make which is not letting me sleep or study properly. For the last few years I have been attending community college. For financial reasons I left school during the 9th grade. Both of my parents were terminally ill. My father passed away, my mother still lives. I placed...
  43. matqkks

    I Group Theory: Unlocking Real-World Solutions for First-Year Students

    What is the most motivating way to introduce group theory to first year undergraduate students? I am looking for some real life motivation or something which has a real impact.
  44. M

    MHB Combinatorics problem. Discrete Mathematics II

    There is a table tennis tournament consisted of 8 participants that is guided by the following rules: 1. Each player plays with every other player for exactly one party 2. If in the i-round there was a party between A and B and a party between C and D, and A and C play In i+1, then in i+1...
  45. A

    Is it Possible to solve Exponential Equations like these?

    Homework Statement Hi, I have come across this equation in modelling exponential growth and decay. I am wondering if it is possible to solve it algebraically or not? Homework Equations 8000-1.2031 * e^ (0.763x)=(0.5992×e^0.7895x) The Attempt at a Solution Brought all e^(ax) values to one...
  46. micromass

    Insights Am I Cut Out for Mathematics or Sciences? - Comments

    micromass submitted a new PF Insights post Am I Cut Out for Mathematics or Sciences? Continue reading the Original PF Insights Post.
  47. micromass

    Schools In High School and Want to Do Advanced Mathematics? - Comments

    micromass submitted a new PF Insights post In High School and Want to Do Advanced Mathematics? https://www.physicsforums.com/insights/wp-content/uploads/2016/03/high school-math.png Continue reading the Original PF Insights Post.
  48. M

    Schools Studying mathematics in university

    Hello all. Next year, I'm going to attend the university. I really want to study mathematics, since I enjoy doing this. My grades are quite high, but I spend a lot of time understanding what's really happening, although this is not always possible. I also spend time by learning things like...
  49. T

    Advice to how to be better at mathematics

    What general advice would you give to a keen young (upper high school and undergrads) student of mathematics? I would say most important is to develop your mathematical intuition by doing and reading as many examples and problems as possible. Anything else?
  50. P

    I Mathematics of tensor products in the Bell states

    I'm having trouble with the mathematics of tensor products as applied to Bell states. Say I have the state \begin{align*} \left|\psi\right> &= \frac{1}{\sqrt{2}} \left(\left|0\right>_A \otimes \left|0\right>_B + \left|1\right>_A \otimes \left|1\right>_B\right) \end{align*} How would the...
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