What is Topics: Definition and 332 Discussions

Lists of mathematics topics cover a variety of topics related to mathematics. Some of these lists link to hundreds of articles; some link only to a few. The template to the right includes links to alphabetical lists of all mathematical articles. This article brings together the same content organized in a manner better suited for browsing.
Lists cover aspects of basic and advanced mathematics, methodology, mathematical statements, integrals, general concepts, mathematical objects and reference tables.
They also cover equations named after people, societies, mathematicians, journals and meta-lists.
The purpose of this list is not similar to that of the Mathematics Subject Classification formulated by the American Mathematical Society. Many mathematics journals ask authors of research papers and expository articles to list subject codes from the Mathematics Subject Classification in their papers. The subject codes so listed are used by the two major reviewing databases, Mathematical Reviews and Zentralblatt MATH. This list has some items that would not fit in such a classification, such as list of exponential topics and list of factorial and binomial topics, which may surprise the reader with the diversity of their coverage.

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  1. B

    Reviewing Topics for Calculus 1

    I'm currently taking Calculus with Analytical Geometry and I need to do some expedited review of the Trig and the algebra pertinent to the course. Does anyone have a definitive list of topics one should cover prior to learning calculus material? Any tips( P.S.- I want an "A" in this course)?
  2. O

    Self-teaching: What topics do I learn first?

    I've become a bit obsessed with maths in the last month. I'm studying it in all my free time. My knowledge is probably at the level of a 1st year student who just finished their 1st semester and did pretty well. I did 3 maths subjects at uni and aced them. However, I've forgotten quite a bit...
  3. D

    Help Needed: Last-Minute Practice Questions for a Competition

    I'm getting a rather annoyed I have typed all these stuff twice already, and both times the page just tells me to sign in (although I'm signed in already). Homework Statement 1) a carnival ferris wheel has a 25m radius and completes five turns about its horizontal axis every minute. What is...
  4. T

    Textbook recommendations, for a variety of topics.

    Hello, There are quite a few subjects in pure mathematics and physics that I'm quite interested in, and I would appreciate any help with the search for textbooks on them. So far I have Goldstein's 'Classical Mechanics' and Humphrey's 'A Course in Group Theory'. Some of these I list below...
  5. A

    Is Rote Learning the Only Way to Effectively Memorize Complex Information?

    Hi, I have had this problem for quite a long time. Personally, I like to think I am semi-intelligent, I have the ability to pick up things quite easily. I have always struggled with the retention of knowledge though, if I don't spend an intolerable amount of time committing it memory I will...
  6. A

    Exploring Topics in General Physics - Which Ones are Easier?

    I was thinking of putting this in the General Physics forum but there it stated that I'm not allowed to post anything dealing with school, but on this forum it states that I'm only allowed to post problems, but my question doesn't deal with a problem, it deals with topics in general. If this...
  7. P

    The hottest topics in applied mathematics?

    What are the hottest topics in applied mathematics nowadays?
  8. S

    Frustated by the lack of mathematical rigour in physics topics

    I have become so annoyed by the lack of mathematical detail in the physics textbooks. For example, to study Foundations of Quantum Mechanics, I had to spend hours and hours doing background reading from books, the net and Wikipedia until I got my way aroung vectors spaces and its nooks and...
  9. M

    Physics Research topics in Medical Physics

    Hi I graduated last summer with major physics and minor medical physics (minor includes 3 courses : Ionizing radiation, non-Ionizing radiation, radiation protection and a project in QA/QC ) I work now in medical physics department as a demonstrator which is a small one with few staff I...
  10. T

    What are the most important topics to know before precalculus?

    Thanks for any replies!
  11. M

    Archived Topics / thin film question

    Homework Statement Two rectangular plates (n = 1.60) are in contact along one edge and separated along the opposite edge (see figure). Light with a wavelength of 600 nm is incident perpendicularly onto the top plate. The air between the plates acts as a thin film. Nine dark fringes and eight...
  12. QuarkCharmer

    Topics in Calc 3 and Differential Eq.

    What topics should DEFINITELY be covered in multivariable calculus and differential equations? My calc 3 course completely overlooked Lagrange Multipliers and Greens Theorem. I had to teach myself what a Jacobian was. I want to be sure that I am familiar with the subject but it's hard to...
  13. I

    Mathematics Topics in String Theory

    Hello all, I am currently a Junior in High School with a deep interest in Physics/Mathematics, specifically in the area of theoretical Physics and String Theory. I was accepted to a summer course on String Theory and am quite excited. The course stated that the only prerequisite is Single...
  14. P

    Exploring Advanced Topics in Mathematics: Fractals and Non-Euclidean Geometry

    Hello, I was wondering if anyone had any good ideas on a topic or course that I could take next Fall as an independent study? I will be taking Number Theory this summer and Real Analysis, Abstract Algebra and either Numerical Analysis or Complex Analysis next Fall.I spoke to one of my...
  15. A

    What math topics to learn next

    I've been self-learning math and physics topics for the fun of it, and I'm not quite sure where to go from here. So far, I have a firm foundation in differential, integral, multivariable, and vector calculus. I'm working on differential equations. I don't know much linear algebra at all...
  16. M

    Interesting topics about physics for teens?

    I'm to do a presentation in two weeks about physics, and I'm wondering what would be interesting to my classmates? (no, I can't ask them, I won't be at school during that period of time) I was thinking to talk about physics in video games, but it's too technical in my opinion, therefore it...
  17. Kal-El

    Current physics topics highly debated over?

    Hi, I am an undergrad in physics, I have to develop some sort of research question for a up and coming paper but I am having problems deciding on a physics issue currently relevant and highly debated. Here is the summary provided by my teacher on what we should be doing. I have asked some of my...
  18. A

    Physics Any research topics for a undergraduate student in modern physics?

    I ve browsed many sites and wasted most of my time for finding a better topic but most of my friends managed to publish papers in there interested topics(other than modern physics)..I m really desperate to publish a paper since its getting late..Can anyone please suggest a better topic in modern...
  19. V

    Is Computer Science Integral to the Nuclear Industry?

    I have never touched upon complicated topics of nuclear related subjects in my class(High school), except for the half life of uranium 238 and other nuclear decay subjects to find the age of rocks etc... I was reading some of the topics in this particular category and I saw that the...
  20. P

    Calculus book for specific topics

    I have searched the mainstream books thomas calculus, steward and lots other like apostols,rudin etc. I was given two books in my college called analysis and applications but it is in greek written by an old local proffessor . It is 1600 pages total 2 volumes.. However the second book has...
  21. S

    Need a best book in which following topics should be covered.

    Hi experts! I need a book in which construction, working and types of the following topics should be given. I don't know much about these instruments. That's why kindly help me out. Suggest me a best book. list here: 1)Barometer 2)thermometer 3)rain gauge meter 4)anemometer 5)wind...
  22. X

    Is Magnetism one of the hardest topics in Physics?

    I've been working out of Edward Purcell and I was doing fine till I reached the chapter on magnetism today. I found it to be quite difficult and had to stop my studying because I just wasn't getting it. Is Magnetism generally regarded as one of the harder topics in physics? Tomorrow I will try...
  23. Q

    Phytoplankton Experiment Topics

    I need to do an experiment involving phytoplankton, and I'm having trouble finding do-able topics: I'm not a researcher with access to very expensive equipment. I do, however, have access to whatever is at my school. So far, I've come up with testing the effect of temperature on...
  24. A

    Any (books, lecture notes or internet materials) that make you master the topics?

    You must have worked with some (books, lecture notes or internet materials) which make you master new topics. Could you suggest your choice to all? I want to follow others' track to study. If you got a nice material, you can generously upload and share the links of the lecture notes and...
  25. G

    Research Paper topics for Electrical Engineering?

    Could anyone suggest me topics for writing a research paper? ares of interest may include: -Electrical engineering (power systems/electronics etc.) -embedded systems -matlab and simulink Thank you!
  26. R

    A few questions on various topics

    Here are a few doubts that I had while reading for an upcoming exam.While answering please keep in mind that I'm in 9th grade so simple answers would be better- 1)Why is the electronic configuration of Chromium - [Ar] 3d5 4s1 instead of [Ar] 3d4 4s2 ? Similarly why does Coppers electronic...
  27. M

    Need a list of good books from general to specialized topics

    need a list of books for general reference for the future. currently a master level engineering student, I went through undergrad with some confusing books and I want to acquire some modern books on individual topics that are well received. for specialized topics, I am in need of introductory...
  28. B

    What Topics Should an Undergraduate Study in Math and Physics for Self-Study?

    Folks, I am currently studying undergraduate final year degree in mathematics. I have covered QM's, PDE's and currently studying Functional analysis and vector calculus/complex variables. I hope to finish the degree middle of next year, however I would like to continue studying...
  29. A

    Which math topics for analyzing stock market data?

    Hi, I've been given a task to decipher patterns, cycles or any other trends within financial market data that will give a probable advantage in forecasting where prices will go, and possibly how big a magnitude a particular move can go. I'm not a math major, and haven't really had too...
  30. R

    Important Maths Topics For E.E.

    What maths topics, eg calculus, trigonometry etc, are important for EE? Thanks AL
  31. T

    Topics They Don't Seem to Teach in Undergrad

    I've noticed that there are certain topics that physics departments don't seem to teach at the undergrad level, except maybe smaller introductory elective courses here and there. It seems like the emphasis is entirely on making E&M and Quantum specialists at the expense of certain other areas...
  32. A

    Which mathematical topics should I attempt to self-study over the Summer?

    Just as a little background, by the time summer comes around, I will have taken mathematics classes up to basic differential equations, multivariable calculus, linear algebra, and some probability theory. In Physics, I will have taken up to classical mechanics and mathematical physics. I want to...
  33. QuarkCharmer

    Multivariable Calc topics required for ODE?

    My school requires Calculus III before DEQ, though I had the department allow me to take the two concurrently. I am wondering what Calc III topics I should be fluent into prepare for Differential Equations. I'm sure this university teaches DEQ with an understood previous knowledge in...
  34. A

    What topics from linear algebra do I need to study tensors?

    Hi What topics in linear algebra do I need to know to start learning tensors? I know the following topics from linear algebra: 1-equation systems 2-vector spaces(linear independence, span, basis, important subspaces of a vector space) 3-linear transformations(kernel, Image, Isomorphic vector...
  35. I

    Topics for Nonstandard Math Study?

    TL;DR: Unfortunately, I'm left with (what I feel is) a bit of a dilemma. I still feel fairly behind in math. I have the standard k-12 math curriculum down fine, but there are many topics that seem interesting and important that I feel I should've touched on years ago. Am I right in thinking...
  36. M

    Topics for a physics presentation

    Homework Statement I have to give a 10 minute physics talk that have to involve a fair bit of mathematics -- i.e. not just qualitative/handwaving material to some undergrads. I have wasted the last 3 hours looking for appropriate topics and have pretty much lost the will to live. Any...
  37. C

    Interesting Math Topics: Transfinite Numbers & Infinite Series

    As you took math classes what were some of the interesting topics that you came across that you thought were interesting? I thought transfinite numbers and infinite series were interesting. What did you guys think was interesting, it doesn't matter what level.
  38. F

    Finding Primary Sources for Physics, Chemistry & Mathematics

    hey everyone! i have flipped through quite a few textbooks on physics, chemistry and calculus, searching for one that presents motivates its derivations of equations and discussions of the concepts involved. primary sources (or those accounts of a theory written by its discoverer) which...
  39. E

    Choosing Math Directed Study Topics

    Alright I'll give you a basic overview of what I've taken really quick: Calc I-Diff Eqs (Boyce and DiPrima, nothing special for my Calc courses) Linear Algebra (Strang) and a course in Abstract Algebra (Dummit and Gallian) Discrete (Rosen) and an elementary Stats class Since my school is...
  40. E

    Finding Research Topics in HEP (Undergraduate level)

    Hey, I was wondering if anyone had any recommendations for something I could research for a paper I have to write about my major (Physics). I could do history of particle physics, but I'd rather not. Any and all suggestions would be great! Thanks for your time, Elwin
  41. K

    Self study topics and material for mathematics

    First of all, i would like to appologise if there is already a topic related to this on which i could have posted. I was not able to find it but also only skimmed through the search results. Mathematics has not been one of strong points. In middle school i struggled with it - i didn't spend any...
  42. N

    Conceptual definitions of vector topics

    (Is this thread in the right place?) A few questions on vectors: 1. I was wondering if anyone could explain in conceptual terms what the dot product and cross products represent. (I understand how these are calculated, but why are they important?) 2. Also, would it be accurate to describe a...
  43. E

    What are some potential topics for scientific research?

    hi everyone, I'm new to this forum so I'm not so sure if i posted on the right place...hmm i just want to collect more topics to be explored for my paper...please do give and help me...thank you so much..
  44. F

    What to study for GRE Specialized Topics

    What to study for GRE "Specialized Topics" Hi, I am planning on taking the physics GRE and I have reviewed the topic list on the GRE's http://www.ets.org/gre/subject/about/content/physics" . I am wondering if anyone has any good suggestions of physics books to study to prepare for the...
  45. edpell

    Active QM Topics: What's Hot Now?

    What are the active questions/topics in QM?
  46. G

    What Topics Are Covered in a First-Semester Thermodynamics Course?

    Hello! I'm taking Thermodynamics I in the Fall, and I was wondering what topics are typically covered in the first semester of Thermo. The course description is very vague (it says the course covers "energy and energy transformations, the first two laws, thermo properties, and energy...
  47. Z

    Are there any good introductory textbook to cover all these topics?

    Linear Spaces Norms and inner products Holder’s inequality Minkowski’s inequality Normed linear spaces Cauchy sequences and complete spaces Banach spaces Reitz representation theorem Hilbert spaces Orthogonal bases Generalized Fourier expansions Lebesgue Measure and...
  48. P

    Exploring Dark Energy: Resources & Topics

    hi i want some help about the dark energy beacuse i need to write aresearch about it so can you lead me to good references that i can back to and what are the measure topics that i can talk about thanks
  49. D

    Courses Physics Courses/ Topics used in FE

    Hi, I searched the forum but couldn't come up with any answers, so here goes my question: What are the topics/ courses that are used in Financial Engineering? I have the chance to take up to 4 courses (usual UG Physics courses) and my pick was Mathematical Physics & Statistical Mechanics, but...
  50. A

    What are the current hot topics in Gamma-ray astrophysics?

    So... I will be working in Gamma-ray astrophysics this summer, but still haven't figured out the topic, any ideas ? thanks a lot
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