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. C

    Research Topics in Statistical Mechanics

    It seems like two main applications of statistical mechanics in academia research include the application to solid mechanics/materials and the application to heat transfer. How do statistical mechanics and thermodynamics differ in these two aspects? Is it basically the same theory applied to...
  2. Soumalya

    TextBooks for Some Topics in Mathematics

    Hi, I need suggestions for picking up some standard textbooks for the following set of topics as given below: Ordinary and singular points of linear differential equations Series solutions of linear homogenous differential equations about ordinary and regular singular points...
  3. Ritzycat

    Precalculus topics necessary for Calculus

    Hello. I'm a high school senior, currently taking a Pre-Calculus class. I am having little trouble understanding the material and I feel the class moves too slowly for my liking. I want to learn more outside of class on my own, but I don't want to be learning Algebra review. I have heard from...
  4. P

    Textbooks for various topics in math for scientists

    There are two courses specifically called math methods for scientists (grad level) that are offered in my school. I am doing a interdepartmental degree in microelectronics/solid state physics (Electrical Engineering/Materials Engineering/Physics) focused more on the physics side of it. I...
  5. A

    Problems to find a PhD in physics because of specialized topics

    Hello, I hope my title is clear enough but I will detail my problems below. I am interested in almost everything aspects of physics (theoretical, fundamental, applied, experimental, not against some numerical simulations too...) and almost every field too. I have more background in quantum...
  6. J

    Advanced (graduate level) topics in math with easy problems?

    I find one problem I run into when studying higher maths is that the problems that come along with them are just so difficult sometimes. I find that I spend so much time trying to figure out how to solve the problem that I lose sight of the actual material. One quarter was particularly bad, the...
  7. W

    (good) Problem book for a variety of topics?

    I've bought Mathematics: Its Content, Methods and Meaning Kolmogorov, Aleksandrov, and Lavrent'ev ( because it was cheap and had Kolmogorov as an author),it's very very interesting (that chapter on electric is kind of useless) ,sadly there are no problems . I would like to ask for suggestions...
  8. samgrace

    Math for Physics: Solid State, Thermal, Maxwells, Relativity & Optics

    Hello, it is said that maths is the language of science, specifically physics. I am posting to ask which areas of mathematics are used in sections of physics. In a months time I will be studying: Solid state physics Thermal and statistical physics Maxwells equations, relativity and optics...
  9. K

    Any idea of the topics covered?

    Hi all. This is my first post, so I hope this is the correct place to post. I have been studying maths at Kumon for the past years. I just want to see if I have covered the basic maths needed for studying physics (start with MIT 8.01 maybe?). When I browse through this forum, I have no idea...
  10. G

    Exploring Exciting Topics at Science/Math Camp: Insights from a Student

    I'm a student and I get all these math/science camp emails I was wondering what topics do they typically explore?
  11. S

    Quasi-Mathematical Books on Various Topics in Modern Physics.

    Can someone provide me with a quasi-mathematical introductory text to quantum field theory ? Ideally, a book that's somewhere between popular science and an introductory freshman physics text. I have a strong background in calculus, having just completed a one-semester equivalent reading of...
  12. B

    Testing Further topics to satisfy my curiosity.

    Hello, I am hoping that you can help me with this. We have just finished the math course that is part of my physics foundation year ( I didn't do A-level maths, so it's like a preparation year at university). We covered lots of topics, calculus up to first order D.E's, Taylor's and...
  13. M

    Does Physics get more abstract with the more advanced topics?

    In high school I absolutely hated Physics. The class was just all about memorizing formulas and stuff, and I thought I wasn't learning anything useful for real life. Yet now that I'm older I have re-discovered my passion for science and I'd like to give the subject another try. The Internet...
  14. O

    Is there any intro topics involving topology and physics?

    I have recently been assigned a project in my undergraduate topology class. I would like to do something in physics which involves topology, but I am having trouble finding a basic topic. I understand that there are some very advanced topics in string theory and the like, but I would like to...
  15. W

    Newbie questions about core mechanics topics

    I am a newbie to physics forums and I would like to say thank you to the creators of this site because it is going to be a huge help to me and my future endeavors into physics! I honestly do not know how it took me so long to find a forum with this kind of topic as I have been a member of cloudy...
  16. S

    Theoretical Research Topics in Topological Quantum Computing

    Can anyone suggest any? I have all of the coursework for a PhD, So I'm not afraid of anything but I will have lots of questions.
  17. E

    Topics combining Mathematics and Aircraft

    Hello, I'm new to this forum so please bear with me! I am a Math and Mechanical Engineering Double major who is considering getting my PhD in Math. I want to become a Math professor after I receive my PhD, and I have always had a love of airplanes, so I was wondering if there are any topics I...
  18. D

    MHB Project topics in Nonlinear PDEs

    I have to work on a project for my nonlinear PDEs class. What are some topics that are suitable for a project in nonlinear PDEs? Thanks.
  19. S

    Book recommendation on a variety of topics

    Hi Guys, I am after recommendations of books that teach in a specific way. Basically I have come out of a 3 year physics degree with just doing the work but not really understanding the material (the mathematics) that well. I want to re-learn a bunch of topics in a way so I will actually...
  20. skate_nerd

    Any ideas for topics in Mathematical Physics?

    Not really sure where this question belongs, but it is based on a school assignment so I'll put it here. I'm a Physics major and math minor, and I am about halfway through my first group of advanced physics courses (namely intro classes for analytical mechanics, modern physics, and theoretical...
  21. skate_nerd

    Any ideas for unsolved topics in Mathematical Physics?

    Homework Statement Not really sure where this question belongs, but it is based on a school assignment so I'll put it here. I'm a Physics major and math minor, and I am about halfway through my first group of advanced physics courses (namely intro classes for analytical mechanics, modern...
  22. B

    Research topics in Variable stars

    Hey, I am an undergraduate physics & astronomy student. I am looking for a good research topic to work on for this semester. I have access to a .5 m telescope in Louisville, Ky (38 deg N), a .5 m telescope, and possibly another with a built in spectroscopy as well as photometry capabilities...
  23. T

    Topic Ideas for Electrodynamics Math Methods Course

    For a mathematical methods course, the end of year assignment is to study and present a topic in mathematics of my choice. I'd like to pick something directly related to electrodynamics that will prove to be useful later. However, I have very little idea of what is used in electrodynamics! Does...
  24. A

    Research topics and nanotechnology.

    Can someone elaborate on E.E research topics and current-active research programs? I have read about photonics, optical computing, quantum computing and semi-conductors. I plan on doing a project and small research on an undergraduate level. I tried to do a research on tokamaks and confining...
  25. Seydlitz

    Interesting topics in Physics to learn

    Hi guys, I'm just wondering if you guys have something that can be described as your entry-point in learning Physics. It's because I'm planning to do self-study using University Physics books before entering university and the problem is I can be quite bored with some of the routine topics...
  26. L

    Recomendations for how to improve my backgroud for advanced topics

    Hello everybody. For the past couple of months I've been trying to study abstract algebra by myself. I got some solid books and tried following some online courses. As I was studying things like groups, rings, and fields, I found studying those topics much tougher than studying Calculus 1, 2...
  27. M

    Research topics for personal statement and A2 physics

    Hi everyone I'm new to physics forums so sorry if this is in the wrong section. I'm currently in Year 12 going into Year 13 and for my physics A2 I have to find a research topic (which would be in the form of a question) on which I would have to write a 1200 word report on. My problem is that...
  28. L

    Few questions different topics

    Homework Statement Find the constants p,q and r such that 2y2 - 9y+14 = p(y-1)(y-2)+q(y-1) +r 2) Deduce that (y+1)4 - y^4 < 4(y+1)^3 The attempt at a solution Well I expanded the right side and just tried comparing the two equations.. so I got p =2 ,r =10, q=-3 is...
  29. R

    New user, needing guidance on topics and where to start

    Hello fellow members! Just wanted to say that I'm new here and am in need of some assistance. First off I'm still a student in college and over the past year have developed a very passionate interest in the topics discussed on the website. However my knowledge is very scattered, essentially...
  30. J

    How Do Satellite Sensors Impact Society?

    Hi, I need to write a paper for my statics class on any new form of technology and it's impact on society. Does anyone have any suggestions for a topic? Any suggestions are greatly appreciated. Preferably something I can find articles about. Thanks in advance!
  31. Jonnyb42

    Crash Courses in Physics Topics?

    Does anyone know of any "crash courses" in various physics topics such as classical mechanics, quantum mechanics, theories of relativity, field theories, etc free online? By "crash courses" I mean PDF's for example with good examples, since I learn the quickest with examples. I know it is rather...
  32. H

    Intriguing topics for Economics presentation

    Economics is definitely not my thing. Unfortunately, I have to give an intriguing presentation that would raise interest. I wonder If you could give me some topics and something to start from. It would be great for the topics to be interesting so that it wouldn't be boring to watch and hopefully...
  33. E

    Getting more information in obscure topics

    I'm trying to read more into the Lagrange-Gibbs F and G solutions for orbit determinations, but I just can't seem to find anything on it. It's in the lecture slides and in the textbook, but when I do a simple google search, I am not getting anything. The theory is correct and all, so I'm pretty...
  34. micromass

    Algebra What are the topics covered in I.N. Herstein's Topics in Algebra?

    Author: I.N. Herstein Title: Topics in Algebra Amazon Link: https://www.amazon.com/dp/0471010901/?tag=pfamazon01-20 Prerequisities: Level: Grad Table of Contents: Preliminary Notions Set Theory Mappings The Integers Group Theory Definition of a Group Some Examples of Groups...
  35. A

    Which precal topics should I master before taking Calculus 2?

    I just finished taking Calculus 1 at a CC last semester. This coming semester, I will be taking Calculus 2, which will be my last semester of Calculus (woohoo!). I didn't take Precal seriously during junior year of high school (had an eating disorder that made me unable to concentrate and...
  36. V

    Please suggest some good topics for Maths research paper

    There is a student in US. He has completed 4 hours of high school and is applying for college. As part of the application procedure, he has to submit a research paper in Mathematics. He is a very good student. He accelerated math and enrolled for Differential Equation, while still being in...
  37. A

    Courses I don't know the topics of maths under each kind of engineering courses

    I don't know the topics of maths under each kind of engineering courses Which course is more maths involved? Which course cover most non-secondary mathematics? Many Many Thanks
  38. P

    What is the correct reading order for these topics in mathematics?

    Alright. So, internet gives me the idea that any serious research in Theoretical Physics will require me to have atleast some knowledge of the following topics in math: Topology Groups (Group Theory) Differential Geometry Calculus of Variations Linear Algebra Abstract Algebra I was...
  39. S

    Research Topics in Quantum Dots for Undergrad Summer Research?

    What Can be some Good Research Topics in Optical Applications of Quantum Dots? I'm Presently doing my B.Sc in electronics & require to Propose an Interesting Research Write-up for Summer Research(Duration~2 months). Personally I find Quantum Dots suits my Level of Understanding of Quantum...
  40. T

    Visual respresentations of topics in Astronomy

    Hello everyone. It is exciting to discover your forum here. I am hoping someone might be able to point me in the right direction for finding any symbols, charts, diagrams, written formulas, et cetera (ANYTHING) that represents or communicates or otherwise serves to explain any of the...
  41. N

    What Are Some Hot Topics in Energy Efficiency?

    I need to research something on energy efficiency, but I have no idea what I should do. I've looked at laundry systems, dehumidification in hospitals, textile production. Energy efficiency in residential or commercial settings is paradox because engineers worked to make every component more...
  42. A

    Interesting Heating and Cooling topics?

    I have to present an investigation on a topic that is related to healing and cooling. In class we're studying kinetic theory, ideal gas laws, heat, temperature, specific capacity, change of state, boiling and evaporation, energy conservation and degradation, and the transfer of heat. Are...
  43. T

    Programs Research topics appropriate for a beginning mathematics major?

    Okay, so, I'm about 2 semesters from completing my AA degree and I decided a couple semesters ago that I really want to be a math major. I am not a traditional student exactly - I was homeschooled and my math education was not strong, so I ended up placing into Intermediate Algebra in my first...
  44. E

    Precalculus knowledge for learning Discrete Math CS topics?

    Below I've listed the chapters from a Precalculus book as well as the author recommended Computer Science chapters from a Discrete Mathematics book. Although these chapters are from two specific books on these subjects I believe the topics are generally the same between any Precalc or...
  45. bleist88

    Available Astronomy Research Topics?

    My astronomy lab group is planning a research project. We will have access to a .6 m reflecting telescope in the northern hemisphere as well as I believe a .6 or larger reflector in Australia remotely. We are curious how likely or practical it would be to be able to find research subjects...
  46. S

    What topics are covered in linear algebra class?

    What topics/chapters are covered in a typical linear algebra class? I am a physics/math major but I won't be able to take classes for a few years. I am trying to teach myself linear algebra so I can read physics textbooks. Thanks
  47. T

    Looking for undergrad communication research topics

    Hi, I'm a junior year electrical engineering student with communication major. Within 3 or 4 months i'll have to select a research topic. Can anyone help me with some latest topics? It is bad luck for me, I'm not adroit with circuits.:mad: Actually, I'm very much interested in physics and from...
  48. S

    Interesting Aerodynamics Research topics

    Hi everyone, first off i'd like to thank you all for maintaining this awesome forum, seems really cool :D I wasn't sure whether this should be in the homework forums or not, but since I'm not asking for any solution of some sorts, i decided to post here. I'm a senior high school student...
  49. D

    What are the top books for various scientific topics?

    Hi guys, I'm looking for a systematic list of best books for following topics: 1. Linear algebra 2. Complex analysis 3. Differential equations 4. Probability 5. Electrical circuits analysis 6. Combinatorics 7. Discrete mathematics 8. Digital signal processing 9. Quantum mechanics...
  50. G

    Preparing for Calc 4: Essential Math Topics

    Hey all, So I took calc 3 back in 2004 actually, and though I've taken a couple of classes since then, (diff eq, complex variables, some physics, etc...) I haven't taken ANY math or science class in about 5 years. So I start this fall with Calc 4 and I'm trying to review a little from my old...
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