What is Topics: Definition and 331 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

    Supplemental topics for precalculus

    TL;DR Summary: I will be reviewing/filling in gaps in my precalc knowledge over the course of 6 months and I think I'll have time to go off the beaten path a bit with the material I cover. What topics could supplement this that maybe I would not be able to learn in a typical precalculus...
  2. Kyuubi

    Most relevant topics and math for astrophysics

    Helloz. I want to become an astrophysicist and was wondering if there topics in math that are HEAVILY used in astrophysics so that I can start focusing on them from early on. I understand that A LOT of different aspects of math are used in almost every field of physics, but I want to know which...
  3. Steelgrip

    How to study heavily informative topics for long hours?

    TL;DR Summary: Less time available hence need to study for long stretches. Need to study Optics, Fluids, Electromagnetism in astoundingly less time. Would love to hear from engg students who practice this. I didn't know where to include this kind of question, so posting it here. Anybody tell...
  4. DannyLouis888

    Physics Apply for a post doc with different topics from my PhD projects?

    Hi everyone! How can I apply for a post-doc that is in a different field from my current PhD topic? I.e. I would like to make a transition. However, I need to learn how to say and justify that I am competent in the fields I have rarely touched. In addition, I have yet to publish at the moment...
  5. Z

    Studying Re-learning math from the basics -- Go through grades or topics?

    Hi, everyone! I'm planning on restudying math from the beginning (K-12), via KhanAcademy, MathIsFun, and plenty of other resources. Now, what I'd like to ask is, as the title says, should I study material grade by grade or topic by topic? Additionally, is there a way to test myself to know...
  6. bigmike94

    Which topics are best to focus on in my spare time for engineering?

    Summary: Which are the best engineering topics to really focus on during my spare time to prepare for the real world. Im on a physics and engineering degree, but will hopefully be doing a masters in engineering, my engineering modules are all the standard broad ones that most engineering...
  7. bigmike94

    I Topics covered in John R Taylor Classical mechanics

    I can’t find the chapter list online, does anyone know what topics are covered in John Taylor’s classical mechanics? Would it be similar to what’s covered in Newtonian mechanics, but obviously more advanced. Cheers in advance 👍
  8. S

    I Essential Math Topics for GR: Semi-Riemannian Geometry (Newman)

    I'm reading the book "Semi-Riemannian Geometry: The Mathematical Langauge of General Relativity" by Newman. There are definitely other questions on math background needed for GR, but my aim is to find which topics from that particular book aren't essential so that self study is more efficient...
  9. bigmike94

    Topics in Young & Friedman's University Physics

    I am working through the wonderful book called University physics by Young & Freedman, it’s seems like a thorough introductory textbook. My question is, instead of waiting till the end of the book to branch out into more advanced textbook that focus on mostly one topic for example classical...
  10. R

    Good literature needed (QFT topics)

    Summary:: Trying to find good books so that I can continue writing my paper about the vacuum Hello fellow physics enthusiasts, I require your support to find good and scientific literature about: Lamb Shift Vacuumpolarisation Zero point energy It can be a long source too, so don't be afraid...
  11. Wrichik Basu

    Other Any books on these topics in Analog electronics?

    In our fourth semester academic curriculum, we have a paper on Analog Electronics. (For those who don't know: I am studying UG physics major.) I have found some good lectures online that cover a part of the course, but I don't have any material for the rest of the topics. The following topics...
  12. Nick tringali

    Exploring Controversial Biology Topics

    Hello, For my senior project I need to type a 15 page paper on a controversial biology topic. Something that is still debated. I need to weigh evidence and data on both sides. I am having some trouble thinking of topics so if anyone has any thoughts it would help. It must be strictly biology...
  13. C

    B Rigid Transformations and other topics -- help with Learning Geometry?

    Dear Everybody, I am in the process of relearning high school geometry through Khan Academy. I am current an graduated undergraduate student in mathematics. I am doing this because geometry is one of my weakest subject in mathematics. Second reason is that I want to reason out a problem...
  14. Santiago24

    Studying I need a guide of topics to study maths

    Hi PF community, i'd like to learn about advanced maths but i don't know what are the requirements to study some topics, so if you can give me a list with the topics that i should learn first i will be very thankfull. :)
  15. N

    What topics in a Physics degree don't appear in an Astrophysics degree?

    Summary:: Looking for advice on what Physics topics, which may be dropped, to brush up on whilst studying an Astrophysics focussed degree I'm embarking on an part-time distance learning BSc in Astronomy at UCLAN. I was originally torn between this degree and the BSc Physics at the Open...
  16. S

    MHB Understanding Example from Topics in Banach Space Integration

    Hey Could you give me a hint how to explain this example? Need help to prove statement in red frame. Example from book (Topics In Banach Space Integration) by Ye Guoju‏، Schwabik StefanThank you
  17. KareemKhaled

    How can I finish studying these topics in 45 days? (2 hours a day)

    Summary:: Hi, I am in a high a school and I want to finish these topics in one month and solve advanced problems also. Can anyone help me to make a schedule to go through it ? Hi, I am in a high a school and I want to finish these topics in one month and solve advanced problems also : I study...
  18. S

    A QFT topics for entanglement entropy

    I want to know what are the QFT topics that I need to understand in order to proceed in reading papers on entanglement entropy such as, Entanglement Entropy and Quantum Field Theory Entanglement entropy in free quantum field theory Entanglement entropy: holography and renormalization group An...
  19. E

    What are interesting/cool topics about material deformation?

    Hey guys, so I have to give a 10 minute presentation for my class. I am absolutely terrible at memorizing stuff. Its pretty bad. If I can find an interesting or cool topic I would be able to remember material better. It needs to be about deformation or fracture of a material in terms of micro...
  20. G

    Suggestions for research topics for M.Sc. in Nuclear Power Engineering

    Summary: Suggestion on experimental research related to reactor for master's degree dissertation. Summary: Suggestion on experimental research related to reactor for master's degree dissertation. I have just started my master's degree course in Nuclear Power Engineering and decided to...
  21. matqkks

    I Why certain topics in elementary number theory?

    Why do all elementary number theory courses have the following topics - gcd, linear Diophantine equations, Fundamental Theorem of Arithmetic, factorization, modular arithmetic, Fermat's Little Theorem, Euler's Theorem, primitive roots, quadratic residues and nonlinear Diophantine equations?
  22. matqkks

    MHB Why certain topics in elementary number theory?

    Why do all elementary number theory courses have the following topics - gcd, linear Diophantine equations, Fundamental Theorem of Arithmetic, factorization, modular arithmetic, Fermat's Little Theorem, Euler's Theorem, primitive roots, quadratic residues and nonlinear Diophantine equations?
  23. A

    A What topics in Quantum Gravity don't require QFT or string theory?

    Full quantization of gravity is a big issue, but that's not what I'm asking here. I'm asking about quantum effects that involve any form of gravitation (Newtonian or GR) but that don't require a full quantization of GR or anything like that. Things like gravitational neutron interference or the...
  24. I

    Programs Topics at the junction of AdS/CFT and quantum information

    I have been asked to draft a (informal) research proposal for a PhD thesis. I have some background in quantum information and my interests are leaning towards the AdS/CFT correspondence. I was wondering if you could suggest a few (preferably recent) theory papers at the junction of quantum...
  25. astroman707

    Courses What undergrad topics do astronomy grad programs expect you to have taken?

    I was speaking with my prof about the requirements for the applied physics major track offered at my school, and she said some very surprising things. Just for context, I’m interested in pursuing observational astrophysics/astronomy in grad school later. She said that I can skip diff equations...
  26. P

    Schools What are interesting research topics in plasma physics now?

    I'm an undergraduate student and thinking of doing a research in plasma physics. Any suggestion? I prefer to do it computationally. Most research topic in plasma physics I googled are about fusion, but do you think it's too advanced for my education level?
  27. Q

    Wikipedia phenomenon: converging topics to philosophy

    There's a phenomenon over at Wikipedia. Namely, all or most (?) topics converge to "philosophy". Is there a name or some kind of coherent explanation for this phenomenon? Is it just simply the case that most branches of science originated from philosophy, and this is apparent in how Wikipedia...
  28. E

    Interesting topics of material fracture/deformation?

    What are some interesting topics in the field of material fracture and deformation? Maybe a newer area of research?
  29. R

    Classical University Physics textbook topics

    Does anyone have the latest University Physics (Young) textbook and know if there is a discussion of "jerk" in it? THanks, JP
  30. astroman707

    I What math topics should one master for first year physics?

    I’ll be taking the year long physics sequence at my college this fall and I want to know what specific math topics I should master, so that I can conquer my first year of physics. I’m planning to brush-up on any necessary topics from algebra, through precalc, and including calc 1. It’s an honors...
  31. Liszzy

    Useful link for kinematic topics (physics)

    https://courses.lumenlearning.com/boundless-physics/chapter/basics-of-kinematics/
  32. J

    High school algebra 1 topics - have they changed recently?

    Hello, One of my children is switching to a new school system next year, and I was surprised to find that they cover subjects such as fractional exponents, exponential functions, rational functions and perhaps other topics as part of algebra 1. Their book has "common core" in the title, if that...
  33. Wrichik Basu

    Other Internship/research project topics in Physics

    I recently found that Jagadis Bose National Science Talent Search (JBNSTS), (located in Kolkata near my house) allows students to use their laboratory for a fee. Moreover, I have received a scholarship from them, and as a consequence, they will let me do anything I like in their lab provided...
  34. A

    A lot of exercises to understand topics (Math)

    Hello, I have a few free days next week where I want to review the topics from this semester and would like people's opinions on how to go about really getting the most out of my free time. I am currently taking math classes from the math department and am wondering, should I focus on doing as...
  35. gibberingmouther

    Studying A programmer branching out into other STEM topics

    so I'm a computer science major about halfway done with my degree (i have an associate's and am waiting to resume school maybe in the fall or spring). i really enjoy learning new physics and math and about electronics (i have a few electronics workbooks that are outdated, but they are still...
  36. Mohrcircle

    I'm confused where to study these topics?

    The main topic I'm struggling with is as follows: Strain, stresses and constitutive law in a 1D,2D, and 3D linear elastic model i. Kinematics:displacements and strains (something about stress, strain and displacements fields is also mentioned) ii. Stresses and equilibrium iii.Constitutive law...
  37. K

    Other Undergraduate research or thesis topics in electrical power

    Hi I am an electrical engineering student, would like to do research and or a thesis in electrical power engineering. However, because our university does not offer any courses on this topic, I am left alone to peruse the books and literature and find some topic of interest. do not know if this...
  38. M

    MHB Can You Name 9 Important Precalculus Topics for a Strong Foundation in Calculus?

    If you were to make a list of 10 important precalculus topics that students should know very well, what would they be? Let me start by saying word problems. All students going into Calculus 1 should be able to answer Algebra 1 and 2 applications. Can you name 9 other important precalculus...
  39. Space_Girl

    B What are the Most Popular Topics in Physics?

    Hello Everyone :) So what’s everyone favorite topics when it comes to physics ? My favorite topics are the Big Bang inflation,string theory, and parallel universes theory :)
  40. A

    What topics do you suggest that are related to the half-lives of nucleis for my theisis?

    dear physicists I'm going to work on half-lives as my thesis What topics do you suggest to be related to the half-lives of nucleis? please guide me, TNQ
  41. S

    Hoffman, Kunze Linear Algebra book: which topics to study QM?

    I've started self-studying quantum mechanics. It's clear from google searching and online Q.Mech lectures, I'll need to understand linear algebra first. I'm starting with finite-dimensional linear algebra and Hoffman, Kunze is one of the widely recommended textbooks for that. I need help...
  42. H

    What is scientfic magazine for professional topics?

    Hello Thank you for reading this If you remember my previous post. It was several years ago. I mentioned that I was obligated to study medicine instead of science in Egypt. I really, had the opportunity to get your friendship and encouragement in more than 100 serious replies. Now, I have a...
  43. stargateengineer

    What topics are best for study of how gravity light works?

    I've seen a little bit about the gravity light. I think it works in a simple way, a weight at a certain height has gravitational potential energy depending on how far the weight will fall, this quantity represents the total energy we have at our disposal to power a light. Now we normally think...
  44. F

    Courses Topics for undergraduate mathematics and physics research

    I will be attending a university in this fall, and I have decided to double major in physics and mathematics. However what haunts me most is the very idea of research. I am supposed to be publishing something new in 4 years both in mathematics and physics for completion of my course. But I can't...
  45. Eslam100

    What are the topics in theoretical and mathematical physics?

    I'm a rising physics sophomore at a Japanese university. I've studied general physics, linear algebra, and analysis (actually, calculus of single and several variables with emphasis on analysis, everything was proven and the theoretical background was well explained) Other than that, I've...
  46. Eclair_de_XII

    Courses What topics in Calculus IV are typically in a PDE course?

    Additionally, what topics from that same course are relevant to probability? I ask because I'm afraid I might forget some of the topics from my calculus series after one semester of disuse. I mean, I know I should probably brush up on my calculus skills in preparation for any math class that...
  47. R

    Mathematical topics for high school investigation

    In the IB diploma program, they ask for a "Mathematical Exploration", where I have to deal with a topic with mathematical tools. For example: How to get the perfect exit of Gymnastics Bars? In "exploration" you have to see the measurements, the angles, velocity trajectories, mathematical tools...
  48. T

    Want to pursue chemistry but don't like structures

    I'm in Cegep in Canada, which is basically between high school and University. I strongly liked chemistry in the past, and I was very strong. Last semester, our chemistry class was Chemistry of Solutions (covering equilibrium, kinetics, acids-bases, etc), and this semester we have to take...
  49. Frank Li

    Studying What is the correct order of all Mathematics topics?

    I've trying to organize my path of study in mathematics, but in every resources online are different. Can anyone request a great order of learning them or a real curriculum of schools. Thanks.
  50. M

    MHB Most Important Precalculus Topics

    In your opinion, what are the most important topics in precalculus needed before entering calculus 1? What must a student know well after taking precalculus?
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