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. QuarkCharmer

    Where can I find helpful resources for Calculus 1, 2, and 3?

    I'm looking for a good set of lecture style calculus 1,2,3 videos, books, online essays. I know about ocw.mit and the khanacademy, but I am curious what other institutions offer this type of resource. I really like what MIT is doing, but there are certain key points where I feel another...
  2. BloodyFrozen

    Topics that must be known for Calc I

    What are the topics that must be known for Calc I and CalcII from Precalculus? Which are the ones usually tested in the final. I do not know about this because I am planning to skip it. Thanks:smile: P.S. If you can answer this, could you please help me understand Euler's Identity/ Formula...
  3. Y

    Math topics I need to study JD Jackson Classical Electrodynamics.

    I was told by a friend that I need to study Complex Analysis, Introduction to Analysis on top of PDE. My highest level of math is only PDE. I want to know what other math topics I need for self study in JD Jackson. I know people go to school will have instructor teaching the math in the...
  4. O

    Topics of Present Day Interest in General Relativity

    Hi there I'm currently in a senior year intro GR course (at the level of Carroll and Ryder), and we're to write a research paper about a topic of "present day interest in General Relativity", about 15 pages in length. I'm having trouble figuring out a topic that would be appropriate under...
  5. U

    Relevant Math Topics Ideal For Understanding Quantum Mechanics/Spectroscopy

    Hey I'm in my first year of science and I plan on self studying for the majority of my undergrad experience. I plan on going for a double mmajor math/phys I like learning both (and chem too) and I want to know which mathematical concepts I would benefit from mastering before i began studying...
  6. T

    The Mysteries of the Universe: A Quest for Fundamental Understanding

    If you ask most people why they study physics, it is to understand the inner most workings of the universe. That is why i want to study theoretical physics. Yet why do people want to study Condensed matter/optics/medical physics? These areas do not provide me with the desire to do physics...
  7. S

    Interesting topics in Beyond the Standard Model

    So basically I need to do a project on a topic in "beyond standard model" can anyone give me any theoretically interesting topics? I know this is a very loose question, but .. p.s I am a 3rd yr undergrad so nothing to crazy Only topics i can think of are just a standard search for a...
  8. A

    What physics (topics) to study to become a pilot

    Good Day Everybody, I would like to know what physics (topics) to study to become a sucessful pilot
  9. F

    Recommend math topics for physics?

    I'll be taking calc III, diff. eq. and linear algebra this semester and I want to learn 6-10 additional topics so I can purchase some books to read during the semester. What topics would be most useful to physics? I think differential geometry would be one. PDE's and analysis are another.
  10. C

    Topics in modern physics class

    What topics are typically covered in a 300 level modern physics class?
  11. H

    Studying Topics to be covered before studying cosmology

    I would like to ask what topics one should study before studying cosmology. I have begun self-learning physics since last summer, and my goal is to build a foundation solid enough to learn cosmology in great depth. I seem to be just touching on different topics: relativity, the uncertainty...
  12. Y

    Any audiophile here? Question on some topics.

    There are a lot of so called black magic in this. Some seems to pan out, some I don't understand. 1) I know from personal experience that large cable like monster cable for speakers work. Me and my wife did an experiment. I used some Monster Cable like cables and listen to the sound with...
  13. D

    Reviewing Mechanics & EM for Modern Physics: Priority Topics

    I'm taking Modern Physics in the spring semester (starts Jan 10). It's been over 5 years since I took Mechanics and EM. Which topics from these courses should I review in preparation for Modern Physics? I plan to review everything, however this will take me longer than the time available before...
  14. C

    Calc 3 Prep for ODE: Fund Differential Eqn & BVP

    What calc 3 topics will I need to learn before taking ODE? I'm going to be taking both at the same time and I want to know if there is stuff I need to be familiar with before starting. The class is using Fund of Differential Equations & BVP by Nagle (5th ed) and I have no syllabus yet.
  15. B

    Chemical engineering research topics

    Hey guys, I am from a Canadian university and have just recently took the GRE (1480 for verbal+quant). I am thinking of applying for graduate studies in the United States, preferably tier 1 schools such as Princeton, MIT etc.. However, after doing some online research it seems that schools...
  16. J

    Any good books for the following topics?

    Hello all, I am doing a course on Methods of Mathematical Physics and the lecturer is going to cover 1) Wiener-Hopf Technique 2) Singular Integral Equations 3) Orthogonal Polynomials 4) Hypergeometric Series and related functions Could anyone here suggest any good books for the...
  17. F

    Anyone know if there exists a solution manual to topics in algebra?

    anyone know if there exists a solution manual to topics in algebra? thanks
  18. H

    Physics Topics for Astrophysics?

    I've done some searching on this forum and elsewhere and from what I can tell, the book Introduction to Modern Astrophysics by Carroll and Ostlie is an excellent place to begin learning about the subject. I believe the introduction to the book states that anyone with a calculus based first-year...
  19. K

    Ideas for High School Astrophysics Course Syllabus

    A quick explanation for my thread - I've been a physics teacher for 10 years, but I've always wanted to learn more about stars and space. So I took two years off to study for an MSc. in Astrophysics. I'm writing my thesis on something pretty non-standard for astro nerds: I'm trying to write a...
  20. A

    What are the Current Main Research Topics in Astrophysics?

    Hi , what are the main astrophysical research topics these days , binary pulsars , black holes ? do you have any propositions ?? :)
  21. A

    Most Pertinent Topics; Calc 2 -> 3

    Most Pertinent Topics; Calc 2 --> 3 Heyo, Posted here a while back looking for books, as I was planning to study over spring and summer before I registered at a CC. Now it's time to pick my classes for my first semester. So, I was wondering which topics in calc II I should be reviewing...
  22. R

    Are there any people actively doing research in MHD topics these days?

    Are there any people actively doing research in MHD topics these days? It seems like an interesting field, but all the information I've come across only dates as recent as the early 1990's. What happened? :confused:
  23. S

    Calc 1 topics to prepare for Calc 2

    I am taking calculus 1 right now and we have been doing a lot of application problems. Like related rates and finding and relating maximum values. I don't have any specific question I was just wanting to maybe have an open forum where we could discuss tips in understanding math->language a...
  24. S

    Courses Question about order of topics covered in a physics course

    Hi, I was wondering what does a standard introductory, algebra-based course cover first, rotational motion/torque or energy and conservation? Thanks
  25. S

    Question about order of study of topics in a standard physics course

    Homework Statement Hi, I was wondering what does a standard introductory, algebra-based Physics course cover first, rotational motion/torque or energy and conservation? This is the time period right after Newton's Laws. What usually comes next? Circular/Rotational Material or Energy? Thanks...
  26. S

    Topics to study for BE (B-Tech) First Sem

    Hello! I am from India and I want transfer in any US university next year. For that I think I need to give SAT and TOEFL but as I want transfer I also need to perform excellent in the college to which I'm going to take admission now. It's nearly 15-30 days left for my admission and so I want to...
  27. jegues

    EE Research Topics? (Undegraduate)

    EE Research Topics? (Undegraduate) Hello all! I've just recently applied for undergraduate student research award, and if I do end up winning I will have to discuss with one or several professors my interests and the possibilities of them having a spot for me within one of their labs. The...
  28. G

    Studying Self studying math topics over the summer

    this year I finished calculus BC, which is the equivalent of calc 1 and 2. I feel as though I've completely mastered the material and I'm ready to start moving on before I enter university next year. The next math classes I'd be taking would be differential equations, calc 3 (multivariable...
  29. L

    Self-Studying Physics for 13 Year Old - Websites & Recommended Topics

    Hope this is in the right place. I'm 13 years old and I would like to self-study physics. I've study most of calculus and some differential equations and linear algebra. But due to my eagerness and perhaps lack of guidance I have many gaps in my foundations. As I have little access to books...
  30. MacLaddy

    Twisted Physics: Top 10 Findings]

    I am still far too much of a newbie to be able to intelligently speak on any of the items listed in this website, but it all seems very interesting. Will anyone comment on the veracity of this article, and if it's really as "cutting edge" as they make it sound? I find item #3 particularly...
  31. Saladsamurai

    Topics of Debate in the Thermo-Fluids Realm

    Hello all, I am currently taking a technical writing course as part of my Mechanical Engineering degree. I am also going to be shifting into my MS curriculum next semester as part of a combined BS/MS program. I was hoping to make my current writing assignment useful to my future studies...
  32. M

    Need topics for my course based project

    I need topics or any research area where i can illustrate something related to vibrations.Need your help guys. I can also do the analysis of any project done before. If anybody has any stuff for me that will be really helpful and i will really appreciate it. Thanks
  33. qspeechc

    Compact Sets, Unit Balls, Norms, Inner Products: Delightful Reads

    Hi everyone. I wasn't really sure where to put this thread so I stuck it here, which seems the closest fit. Anyway I've been thinking about this for too long: what characterises the unit ball of a norm? Let's be specific: consider a finite-dimensional vector space, which may as well be...
  34. Simfish

    How useful is numerical analysis? (compared to other topics)

    I know that Matlab is essentially a giant numerical analysis package, so numerical analysis is helpful for anything that involves Matlab or FORTRAN or non-symbolic programming languages (or processes that use approximations of differential equations and stuff). So pretty much anything with giant...
  35. marcus

    Topics at this week's QGQG school

    http://www.fuw.edu.pl/~jpa/qgqg3/talk_schedule.pdf Open Problems in Loop Quantum Gravity Sunday, February 28 - Thursday, March 4, 2010 Zakopane, Poland SUNDAY Spin foam models 12:00 Roberto Pereira: The new SF models 13:00 Aristide Baratin: Group field theory in non-commutative metric...
  36. E

    Interesting Physics research topics

    I'm afraid the template for homework help doesn't quite apply here since my problem is the lack of a problem in itself. I'm an International Baccalaureate student, and I've decided to do a research topic (about 4000 words) on physics. I need help with this. I'm looking for suggestions for...
  37. T

    What area(s) or topics of chemistry are used in mechanical engineering

    what area(s) of chemistry is used in mechanical engineering, Is chemistry crucial to Mechanical Engineering and if it is ,What areas or topics should one concentrate on . Thanks in advance.
  38. S

    Research Topics for B.Tech Mech Engg @ ISM Dhanbad

    hi friends.... i m doing my b.tech in mech engg from ism dhanbad can anyone please suggest some research topics while doing graduation
  39. L

    Keeping a pencil standing on your hand What physics topics should I research?

    "Keeping a pencil standing on your hand" What physics topics should I research? Hi. My English is not perfect but I'll try my best. This is not a homework. It's a programming question for my simulator project. Scenario: - A pencil standing in your hand. It will fall or stand depending on how...
  40. S

    Undergraduate Research Topics in Point-Set Topology?

    Hi all, Like the title suggests, i am interested in finding a topic in topology that would serve as the basis for a research paper. Since i am currently taking a first course in Topology (Munkres), i am basically looking for something that is not too advanced. So far i haven't been able to...
  41. A

    Interesting topics for a presentation

    Hey there, I have to make a presentation about a technical topic in my technical spanish class. Since I have to hold the presentation in spanish and the listeners aren't experts either, I would like to choose an interesting topic which does not include too much jargon. I was considering...
  42. L

    Studying Do all math books for a particular course cover the same topics

    I.e. If you have two or more completely different textbooks for a college calculus course or any mathematics course , then will some of the books omit important things, and other books will probably cover more things, How can you be sure your getting a good education with math and science if...
  43. R

    Path integral formulation - uses/related topics

    Hi, I'm writing a paper on the PI formulation and i wondered if anyone has any other ideas as to what its uses are and what other topics it is used in. I came across the CDT (causal dynamical triangulation) theory and this uses a non perturbativ PI approach so i will talk about that in the...
  44. L

    Studying Studying abroad , and studying engineering , different topics covered for the same

    for the same degree: Has anyone ever studied abroad? In 'Studying Abroad for Dummies', (the book) it says that if you study abroad that you may not get transferable credit for your classes, because the educational system (requirements and such) is different in the UK than it would be in the...
  45. N

    Discussing Exciting Topics in Quantum Optics

    Hi all. What topics do you find exciting in quantum optics? The reason why I am asking that I have to do an essay about a subject in quantum optics, and I would like to get a feel of the different topics in this area. I have recently heard of scientists who have succeeded in transferring 1...
  46. PrincePhoenix

    Topics in your first physics year.

    When you study physics for the first time in school what grade,class or year is it? And what are the topics in your first year? I live in Pakistan and we start Physics in Class 9 (at approximately 16 years of age). The topics we study are as under. -Measurement -Kinematics -Scalars and Vectors...
  47. S

    I can't understand most of the topics on my Linear Algebra Book.

    I don't know if the book or I'm the one is the problem . Last day, I borrowed a book titled Linear Algebra, 2nd Edition - Kenneth Hoffmann And Ray Kunze. Then tried to read most of the topics there but didn't get most of it. I studied Calculus by my own and understand most of it. But when...
  48. S

    IB Extended Essay topics in Physics

    Homework Statement I'm currently attending an IB school and as a part in our curriculum we have to write a college level essay in one of our subjects. I’ve chosen to do mine in physics. However I don’t have any ideas for what my physics topic would be. The topic must be: 1. specific 2...
  49. F

    Topics in modern theoretical physics with interesting philosophical implications

    What are in your opinion the most interesting areas or topics in foundational physics? (that have or could have profound philosophical implications) I want to see what's out there.
  50. M

    Seeking Advice, Self-teaching advanced physics topics

    Hi all, I'm a bit new here. I was unsure where to post this but this seems most appropriate to me. Getting down to it, I'm interested in a number of topics in advanced physics. Specifically, I'd like to begin to do a bit of self-guided study on special/general relativity and eventually QM and...
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