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. S

    Geometry Topics for Theoretical Physics & Astrophysics

    I wasn’t exactly sure where to put this but this seemed the best place. I have a geometry book that I plan on learning by my self. It is the same one that my high school uses for accelerated geometry. In the accelerated geometry classes they only go to a bought chapter 9 but there are 14...
  2. Y

    Algebra 2 Topics for Not-So-Strong Math Students?

    What are the MUST COVER topics in Algebra 2? I said this in the "Should calculus be taught in high school?" thread: I've mentioned before that I'm a HS teacher (math and music) in a Catholic all-girls school in the US. This school year I taught Honors Algebra 1 and Honors Precalculus. Next...
  3. J

    Need tutorials on these topics

    I want to understand following, 1) Staistical Thermodynamics. 2) Equipartition theorem. 3) Ultra violet Catastrophe. 4) Black body radiation. 5) Wien's displacement law. 6) Boltzman's law. 7) Inception of Quantum mechanics. Can someone suggest any book? Or better would be some free...
  4. K

    Suggest topics for a 1-sem HS Astronomy course

    Hello, I am planning to offer a one-semester elective course in astronomy at my school, and I am looking for suggestions and ideas about what to include in the curriculum. I do not have many examples to pull from around here--the rural schools don't often teach it. We're going to have to...
  5. N

    Ideas or research topics in semiconductor devices and device physics

    hi I am doing my Electronics and Communication Engineering..I need a topic for paper presentation.Im more interested in semiconductor devices and device physics..It's like,i would like to address any physical limitation in the existing technology in reducing chip size.(this is the only topic i...
  6. W

    Exploring Research Topics and Labs for Summer Opportunities in Physics

    I have a chance to be doing some research this summer in some good labs. My level of proficiency with physics is around the late freshman - mid sophomore stage. What could I do research on?
  7. marcus

    Current BH-LQG topics (e.g. quantization of entropy)

    Here are the talks planned for this month's BH-LQG workshop. I think one thing that motivated the organizers is the recent appearance of results showing a step-wise increase in BH entropy. That is the increase is only approximately linear with horizon area---detailed analysis shows more...
  8. W

    Looking for intro combinatorics/discrete math book with the following topics

    1. A discussion of binary strings and strings over arbitrary alphabets 2. A discussion of generating functions and bivariate (or multivariate) generating functions, and their applications to enumeration and and probability problems 3. Graphs and Trees (does not need to be that thorough for this...
  9. K

    Need some info in some topics.

    Hi, I am doing 2nd year in mechanical eng. I couldn't find any book for following topics where i live,so i need some reading material on following topics :- 1. I.C. Engine testing and performance > F.H.P by noise testing. > ISI rating of...
  10. S

    Knot Invariants and Related Topics - Tips for Learning

    Hey, does anyone know much about knot invariants and the stuff? Including Fox Calculus, Alexander Polynomials, Reidemeister theory? Any helpful sites? Tips for learning about this subject? Also, what are quandles and how are they related? Thanks!
  11. R

    Are these all the algebra topics I need to know before starting calculus?

    The free textbook I'm using is from http://www.totallyfreemath.com/ I'm not allowed to direct link to the book. Free Math -> View Book Online -> accept terms Here are the topics covered not including chapter 1: Solving Equations and Inequality: 2-1 Algebraic Notation and Terminology...
  12. L

    Programs Need advice in choosing PhD topics, combination of physics and computer science

    Hi all, I am just joined, so I am new here. I have a bachelor in Physics, and master in Telecommunication management. I have few years working in ICT projects doing varied stuff start from programming and network design. However, I did not feel satisfied with this kind of work. Since I can't...
  13. A

    Controversial Topics: Finding Equal Points of View

    Hi, does anyone know of books, magazines, websites, anything that introduces controversial topics, and then discusses two or more points of view with equal regard? I'm looking forward to expanding my knowledge on both sides of any sort of political, social, or moral issue. If you have...
  14. E

    What are the current hot topics in Biophysics?

    Hello everyone, I'm supposed to start my PhD in Biophysics. and I just need help and suggestions about what are the hot topics and issues in Biophysics. I don't want to do something, and end up after 10 years alone in my desk and am the only one in the world doing it. So, can anyone...
  15. rocomath

    Adv. Linear Algebra: Review Topics Chapter 1

    Here is the link to my review topics for exam 1. http://math.uh.edu/~bgb/Courses/Math4377/Math4377-Ex1-Topics.pdf 1.2 Does the solution set to a linear system change under elementary row operations? The solution set does not change under elementary row operations. What are independent/free...
  16. B

    Where Are Hypergeometric Functions Typically Introduced in Mathematics Courses?

    I am a second year math/biology major, and I constantly see references to sinh, cosh, etc. or "hypergeometric functions." For instance, I was on the Wolfram Mathematica Online Integrator, and out of curiosity I asked it to integrate sec(x), which lead to the answer 2tanh^{-1}(tan\frac{x}{2})+c...
  17. J

    What are some possible research topics in medical physics and lasers?

    Hi everyone, Ive just joined this website today so I'm new to this forum stuff! Anyway, I'm in my 4th year at University studying Physics, and this year I am to take a class called Research Skills. In this class we are to come up with some ideas about possible inventions/ideas etc and...
  18. T

    Harder topics in an calc based intro to probability class?

    What are the harder topics in an calc based intro to probability class? I'm taking it in 3 weeks so I have time to prep. Here's the course layout:http://www.math.ucla.edu/ugrad/courses/math170ab/170Aoutline.shtml
  19. L

    I am researching on many, many, many topics Can you help?

    I am researching on many, many, many topics! Can you help? Can a person solve a problem while solving an other problem? Can good do good to good people and evil do evil to evil people? Does a more educated poor person mean a more productive poor person? Does the text copied from a...
  20. B

    Exploring Advanced Physics: A Focus on Calculus-Based Concepts

    I was wondering if someone could just tell me whether or not Most of intro and all of advanced Physics is primarily built upon Calculus and any other advanced Math topics. I know that high school physics usually teaches physics from a non-calculus point of view but I am specifically referring to...
  21. K

    What are some nice topics to read about in Biochem?

    This forum has led me to read a lot of Physics and Math, but I would like to read some exciting things about the going ons in Biochemistry. Would anyone mind helping me?
  22. A

    Interesting topics in network security?

    I need to come up with a topic to present in one of my classes but I'm having a hard time coming up with something. I thought about doing a presentation on video security or how a cable box is securing the incoming video but someone else is doing it. I thought about maybe doing it on some type...
  23. I

    Logical sequence of math topics

    I just found this forum and it looks great! I'm an undergrad Physics/applied math at Western Washington University in Bellingham, WA. I'm wondering if anyone has ever seen a kind of family-tree-type-deal of math topics. I have this problem with trying to read wikipedia articles and...
  24. S

    Studying Topics and books - Intro. Linear Algebra & Differentl. Equatns

    The courses called "Introductory Linear Algebra & Differential Equations" are potentially diluted too much in order to form into a one-semester course; the one which often follows the third semester of Calculus. This becomes a terminal Math course for students who will usually not go further...
  25. P

    Modern topics in physics curriculum

    1. Question end an explanation of it: Which modern topics that are the result of modern physics discovery would you like to see in the classroom? Current curriculum is mostly ancient physics and explains ancient discoveries. Those are essential for understanding the basics of physics, but they...
  26. J

    Herstein, Topics in Algebra, page 58

    I have the second printing of the first edition of Herstein's 'Topics in Algebra', published 1964. On page 58 near the middle of the page there is a paragraph that begins: Let G be a cyclic group ... The author writes \phi:a^i \rightarrow a^{2i} and later x^{-1}a^ix = \phi(a)^i =...
  27. A

    Topics for physics presentations.

    Homework Statement For my physics presentation, I need to choose viable and researchable topics. The teacher mentioned that specificity is key; for example, instead of doing the broad topic of sport of football, we should instead do the topic of a how the ball travels. So far, I've acquired 7...
  28. P

    List of topics that theoretical physicist has to master?

    hello guys, this is my first post here.. i am a engineering physics undergraduate. however i hv more interest in theoretical physics and i want to hv further study in theoretical physics. The subjects taught in my programme is like applied physics which do not hv so much theory. I think...
  29. H

    What are the essential topics to learn in Calculus?

    Hey. I'm teaching (trying to) myself calculus before i go to college. The book i got from my trigonometry seems pretty repetitive, but I was wondering which topics i need to learn. So far, I've learned limits, derivatives, applications of derivatives (I wasted about a month on the chapter...
  30. V

    Testing Efficient Study Topics for Physics GRE: From EE to Core Physics Areas

    Hi all, I'm from EE background, currently working as TCAD enggr in a semiconductor fab outside US and I'm considering research in physics in the US. (relevant key words that I've identified, till date- computational nanoelectronics, molecular electronics, ballistic nanotransistors...
  31. L

    Courses Basic Physics Course Topics: 1st Year Uni

    what sort of topics should i be expecting in a basic first year uni physics course? the university websites are too general and don't usually give too much detail when desribing the topics covered
  32. N

    What are the Primary Topics in Graph Theory for an Interactive Teaching Module?

    hello, now i am doing final project 4 my graduate from university.. and the title of my project is interactive teaching modul of graph Theory i've some quetions coz i don't really know about graph theory.. could u help me?? 1. what kind of primary topics on graph theory which have...
  33. maverick280857

    Topics for UG Research (Physics and EE)

    Hi everyone I was hoping someone could point me to some research topics for undergraduate research work in areas in Physics and Electrical Engineering. I am presently an engineering sophomore with UG courses in Physics, Mathematics, Electrical Engineering (and other subjects). I have a...
  34. A

    What Do These Topics Mean?

    What are the following: · Elementary Number Theory · Plane Euclidean/Measurement · Least Squares Regression Is Plane Euclidean/Measurement the same as Plane Geometry? Thanks in advance.
  35. B

    Need a quick tutorial on the following topics

    Can anyone help me with ANY of the following topics: The concept of the wave packet as determining particle size. Energies of the Harmonic Oscillator. The eigenvalues of observables are real-valued and correspons to hermitial operators. How do we compute the expectation value of...
  36. M

    QUESTION:[INDENT] Why do all forum topics cause online

    QUESTION:Why do all forum topics cause online QUESTION: [INDENT][I]Why do all forum topics cause online arguments?
  37. P

    How to tough to publish string theory topics?

    String theory seems to be an over popularised topic with many talented people working on it already. How tough is it these days to publish in this field (on the mathematics/theory side rather than applying string theory to experiments or what not).
  38. R

    Need great books on great topics

    I need a book on advanced information theory. It should be more towards computers and communication than theoritical physics. It would also be great if some one could suggest books on probability, optimization, curve fitting and modelling. So, mathematicians here, tell me your favourites.
  39. D

    Changing of one of the previous topics

    in one of the previous topics, it was suggested that if one carries a mirror and travels at a speed of 0.99c, he will still see his own reflection in the mirror because the theory of special relativity states that the speed of light is constant in all inertial frames. However, what if i change...
  40. Y

    Exploring Nuclear and Particle Physics: Selecting an Undergrad Thesis Design

    Hi, I'm currently selecting my 4th year undergrad thesis design (its all technical/theoretical no hands on work). A couple of the topics given strike my fancy, but I'm particularly interested in Nuclear and Particle Physics of which they're are few topics given for us to choose from. We are...
  41. R

    Topics re harmonic oscillators

    Hi there I've heard from various applied mathematicians that the D.E. that models harmonic motion is one of the most important in physics...apparently it appears in nearly every conceivable field, from quantum mechanics to cosmology (something to do with modelling the cosmic microwave...
  42. A

    Help with course electives/hottest engineering topics

    Hi, I will be starting my third year as an engineering science major at UCSD. Fall quarter starts in a few months so I need to know my course electives so I can take necessary preqrequisites. I would like to know what areas in applied mechanics/mechanical engineering/engineering science is...
  43. P

    How to write papers on profound topics

    ok, so in english, i can write really solid analytical essays on books and such. however, i have a really tough time writing and developing ideas on profound topics. For example, a while ago we had to write a paper on "the meaning of life." I just found it hard to develop ideas on it. I had...
  44. N

    Physics of Computers ( for topics)

    Physics of Computers...(need help for topics) hey guys, I am new to the boards and I am stumbling on my physics essay, the physics of computers. I need about 20 pages and i don't know what would be some good topics to talk about. thanks
  45. S

    Other topics in Electrical Engineering?

    So I'm pretty well finished with all of my 300 level courses. Basically, I've got all the basics. I was wondering if you guys think there is anything that is not usually taught that I should teach myself. I've got some free time this summer. Any ideas?
  46. P

    Lecture notes for the following topics.

    Is there any place where i can get lecture notes for these following topics Heat and temperature Change: Specefic heat capacity Heat and Phase Change: Latent Heat Conduction Radiation equilibrium between phases of matter Humidity its because i lost my book and have no way of...
  47. F

    Topics for electrical engineering ethics

    I am having trouble coming up with a topic for a research paper dealing with something related to the Eletrical engineering/ technology field. It has to be something that has happened within the last five years. Any idea's? Thanks
  48. K

    Topics for Physics Extended Essay

    I apologize if this thread is in the wrong spot. I am new here, and I know how annoying n00bs can be... I was wondering if there are any possible physics topics to do on the extended essay for the IB diploma in aerodynamics. It is basically a 4000 word paper on anything you want, and I would...
  49. M

    Exploring Least-Researched Topics in Observational Astrophysics

    Which are some of the most nascent and/or least researched subjetcs in observational astrophysics?? how about Quasars and Pulsars?? So far i know it needs top quality instrumentation to get info about them...can anyone tell me about the "hot topics" in astrophysics in the near future. Dark...
  50. N

    Which EE Specialization is In Demand and Rewarding?

    In your opinion what are the top specializations of EE that are in demand. What is the hardest to get into and yet most rewarding? I've taken some introductory courses in the following subjects and done pretty well. Right now I see myself going into Analog but I am so interested in RF. Is RF...
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