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.
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...
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...
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...
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...
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...
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...
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 👍
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...
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...
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...
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...
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...
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...
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. :)
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...
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
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...
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...
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...
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...
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?
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?
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...
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...
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...
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?
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...
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...
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...
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...
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...
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...
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...
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...
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...
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 :)
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
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...
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...
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...
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...
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...
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...
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...
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...
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.