All Questions
Tagged with resource-recommendations mathematics
108 questions
2
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1
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103
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Where can I find the minimum math needed for General Relativity? [closed]
The knowledge that I already have is linear algebra, ordinary co-ordinate geometry, some vectors, calculus up to basic differential equations, and Special Relativity. Where can I learn the minimum ...
1
vote
1
answer
69
views
Material to Study the Definition, Algebra, and Use of Infinitesimals in Physics [closed]
This is going to be a rather general question about suggestions on best supplementary material to properly explain the use of infinitesimals (or differentials?) for the purposes of integration or ...
1
vote
0
answers
77
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Use of mathematical structure on physics [closed]
I want resources for studying in detail the connection between the mathematical structures of physical theories and said physical theories.
For example, i know what a Hilbert space or a principal ...
3
votes
0
answers
96
views
Characteristic classes and index theorems for physicists
Since characteristic classes and index theorems are occasionally used in quantum field theory (for example, when discussing instantons or quantum anomalies), I want to learn more about them. Is there ...
0
votes
0
answers
63
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Reference for mathematics of quantum mechanics with infinite degrees of freedom?
I am looking for a book, or lecture notes or even courses available on YouTube where there is a good and detailed discussion on the mathematical aspects of Quantum Mechanics with infinite degrees of ...
0
votes
0
answers
125
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Reference request - classical field theory and mathematics
I am looking for references (books, lecture notes etc) on mathematical classical field theory. By that, I mean classical field theory under a rigorous point of view. However, I am more interested in ...
0
votes
0
answers
73
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More mathematically formal textbook on general relativity [duplicate]
I was going through the lectures of F. Schuller in the International Winter School on Gravity and Light 2015, and I finally understand thing due to the differential geometry chartless formalism. But I ...
6
votes
4
answers
1k
views
Physics extensive group theory book written for mathematicians
I am searching for a book on group theory that follows in the style of textbooks written for math students (since I was one), but that covers all (or at least most) topics that would be needed in ...
1
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0
answers
124
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Resource for building "physical" intuition for mathematics [closed]
I stumbled across an intuition for the Laplace operator that suggests it can be considered "the difference between the value of a function at a point and the average value at "neighboring&...
0
votes
1
answer
92
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Reference to understand this branch cut question
I am currently reading a physics paper in which the authors have complexified an ordinary differential equation (ODE). They mention the following statement in the paper:
"These branch points ...
0
votes
1
answer
158
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Complex Analysis books for Physics
I am now in my 6th semester of my physics bachelor and now I'm searching for a complex analysis book.
It shouldn't be too long and deep and not too "mathematical" (I don't need every proof). ...
2
votes
1
answer
102
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Product of delta distributions
I’m studying Kleinert theory and Delta functions of surfaces and curves, defined as
$\boldsymbol{\delta}_S(x)=\int_S \delta^{(3)}(x-y) dy$
Do you know some references about the extension of the Dirac ...
0
votes
0
answers
81
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Wave equation PDE's
I'm taking a partial differential equations course and I think I need some practice solving the 1D and 2D wave equation with boundary conditions and initial conditions, do you have a book like the ...
0
votes
1
answer
516
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Book recommendation for advanced classical mechanics from a mathematician’s perspective [duplicate]
I realise that this question has been asked many times before, but none of those could answer my situation, so here I am.
I am a high school student with a keen interest in mathematics and physics. I ...
0
votes
1
answer
71
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Which book/s should I get before introducing myself to quantum mechanics? [duplicate]
I am in secondary school and have no prior knowledge of quantum mechanics except what it is about and I started gaining interest in the subject so I was wondering which book/s I should get so I will ...
0
votes
2
answers
200
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Recommendation for a book on calculus
I am a high school student and know little about calculus. This includes simple integrals as well as more complex topics such as differential equations, which I feel are a prerequisite to solve and ...
2
votes
0
answers
248
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Physics book recommendation for a mathematician studying statistical mechanics [duplicate]
I just started my PhD in statistics and I am very likely to defend my thesis on statistical mechanics. Having said that, as I am a mathematician by training, I do not have a strong background on ...
18
votes
1
answer
5k
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Mathematically rigorous QFT text
There are multiple questions on here about QFT textbook recommendations, but I am looking for mathematically precise texts on QFT.
Recommendations of introductory and advanced texts are welcome, but ...
0
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0
answers
37
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What are the best quantum mechanic books that focus on the Dirac notation and linear algebra? [duplicate]
I have a little bit of a hard time following the Dirac notation and the mathematics that follow it. Are there any textbooks that focus on the math only?
1
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2
answers
218
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Reference Request: Mathematical Foundations of Physics
I am looking for reading on examples, or preferably a comprehensive summary on how the foundations of mathematics are related to physical theory. I would like to know whether basic set-theoretic and ...
1
vote
6
answers
1k
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Mathematically rigorous introduction to special relativity
Surprisingly this precise question doesn't seem to have been asked somehow but please correct me if I'm wrong.
I'm looking for a rigorous introduction to special relativity. I have fairly limited ...
3
votes
1
answer
2k
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Mathematically rigorous books on special and general relativity [duplicate]
I am looking to study physics as a mathematician. I am interested in books on special and/or general relativity, written in a style of rigor that would be acceptable to a mathematician. I would like a ...
0
votes
0
answers
156
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Classical text of mathematics/infinitesimals for Landau-Lifshitz
I believe their is a pre- and post Weierstrass era of mathematics (loosely speaking). Afterwards there was epsilon-delta, before 'infinitesimals' (with certain rules, ideas and theorems, of course not ...
0
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0
answers
62
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Rigorous textbook about special relativity [duplicate]
I want textbooks about special relativity that demonstrates the relativistic phenomena by deep details
0
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0
answers
273
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Best Calculus one book [duplicate]
I’m currently in my senior year of high-school. I’m planning to major in physics. I really enjoyed basic calculus but I really want to start studying it for real. I know university courses include ...
0
votes
1
answer
77
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Calculus and trigonometry course
Can anyone please tell me any book or refer any kind of short term course on calculus and trigonometry required for physics.
1
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0
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74
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What is a good book for learning quantum mechanics with mathematical derivations? [duplicate]
I know calculus (ODEs, PDEs, integration over 3 dimensions, limits, W, Zeta functions, series etc) and am working on linear algebra. What it the best book to learn quantum mechanics from with ...
3
votes
0
answers
47
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Like Martin Gardner's "Mathematical Games" articles in Scientific American, but for physics?
Is there good source for puzzles in the style of Martin Gardner's books (Entertaining Mathematical Puzzles, aha! Insight, etc), except the domain is physics rather than math?
0
votes
0
answers
42
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Book recommendations to understand General Relativity [duplicate]
I just finished Multivariate calculus and I am wondering what sequence of books would allow me to work up to the mathematical knowledge needed to understand General Relativity and the corresponding ...
1
vote
2
answers
446
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Can anyone suggest a math review book for someone interested in beginning physics study as a hobby?
Good day. This is my first post and I was not sure whether to post here or on Math StackExchange. Since the end product of my goal results in ultimately understanding some basic math in physics, I ...
0
votes
1
answer
384
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Looking for a good book on Differential Equations [duplicate]
I know many of you are tired of book recommendation posts and questions. But I am self learning Theoretical Physics, and I am having a hard time choosing a book to learn differential equations (ODEs). ...
1
vote
1
answer
94
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Solution set: Mathetmatical Methods For Physics [closed]
Recently, I had a good start with H.W. Wyld on mathematical methods for Physics and now looking forward to ask whether is there any solutions available for the problems given at the end of each ...
7
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0
answers
92
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Lost reference: Kähler gravity in six dimensions and three dimensional $SL(2,\mathbb{C})$ Chern-Simons theory
I've noticed that several references take for a fact that by studying Kähler gravity on a Calabi-Yau threefold one can demostrate that any lagrangian submanifold embedded in the threefold posees three ...
0
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1
answer
124
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Book on Vectors
Can someone recommend a good book on vectors for High school and pre University students. Nothing too complex but enough for first year physic students and helps cover the basics and helps you in ...
2
votes
2
answers
256
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A book about why do we need abstract math in physics
When I study math for physics applications I always have some trouble in understanding why it's necessary to abstract the objects we study (vector spaces, scalar product, manifolds, groups...). In the ...
1
vote
0
answers
18
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Why does no three-scalar parameterization of 3d orientation exist that doesn't contain singularities?
I'm reading a magazine article on 3d orientation and want to know what the mathematical issue is and where to read about it, preferably a theorem title that I can google or a topic and textbook:
It’...
0
votes
0
answers
23
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Source for Learning? [duplicate]
I am an very ameteur mathematician and physicst (If I can say mathematician and physicst to myself xD). I want to learn topics in physics. Like electromagnetism, mechanic, thermodinamics etc. But I ...
8
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2
answers
1k
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Discussion: Mathematically precise physical textbooks [closed]
I am very interested in the abstract mathematical description of nature. Therefore, I have recently started to compile a list of good textbooks about physics, which have a very high level of ...
3
votes
0
answers
290
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Understanding Multivariable Calculus without Hand-Waving [duplicate]
I am trying to properly understand multivariable calculus as a physicist and would like to know of any recommendations for textbooks to work through. Ultimately I want to be able to properly ...
0
votes
1
answer
999
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Higher dimensional version of Stoke's Theorem / Divergence theorem
I've learnt about Stokes' Theorem and the divergence theorem that relate integrals of functions over manifolds to integrals of related functions around the boundary of the manifolds but all in 3-...
0
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0
answers
36
views
Advice needed on learning maths oneself [duplicate]
I am a master's student in physics trying to learn maths on my own. My classes workload is heavy and the schedule is very hectic due to which I don't get time to do mathematics.
I have done Linear ...
1
vote
0
answers
678
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General relativity's prerequisites' prerequisites [closed]
I know there looks to be a duplicate:
What are the prerequisites to studying general relativity?
From what I read, the prerequisites are Calculus, linear algebra, differential and partial ...
1
vote
3
answers
433
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Hilbert space and group theory: relationship between these two approaches to quantum mechanics, and references for a beginner?
I have read basic books on Quantum Mechanics like R. Shankar's "Introduction to Quantum Mechanics, Griffiths "Quantum Mechanics" and partly I followed Bransden "Atoms and Molecules".
But none of the ...
1
vote
0
answers
63
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Recommended books for introduction to Quantum Mechanics for students who are mathematically aligned [duplicate]
I am a 4th-year undergraduate student and I have fully read R. Shankar's book on Quantum Mechanics and Griffiths book Quantum Mechanics. I have also done a bit of the Application of QM on ...
1
vote
0
answers
414
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Book recommendation on Quantum Mechanics which is a bit mathematically aligned and gives good introduction to Hilbert Space for beginners [duplicate]
I am a 4th-year undergraduate student and I have fully read R. Shankar's book on Quantum Mechanics and Griffiths book Quantum Mechanics. I have also done a bit of the Application of QM on ...
-3
votes
1
answer
154
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Can there be an **essential topic** in physics which cannot be archimedean? [closed]
In physics it seems everything is explained with $\mathbb R$ or $\mathbb C$ typed entitites.
Is there anything in or that would be in future in physics that would need the utility of $p$-adics in an ...
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2
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3
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211
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Trouble with Math in Physics [duplicate]
I am a current high school student and I am very interested in physics, especially particle physics (that stuff is super cool!). Unfortunately, my school only teaches classical physics, so I have to ...
3
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0
answers
149
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Characteristics of the Navier-Stokes equations as a set of PDE's
I am not entirely sure if I should ask this question here or not, but here goes: can anyone suggest any reference (book, article, etc.) about the Navier-Stokes equations from a mathematical point view?...
0
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0
answers
53
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Which books or content should I prefer to understand particle physics operator and representations [duplicate]
I am just a intermediate passout and I want to know which books should I prefer for learning the mathematics of particle physics level like the different representation, operation like Hamiltonian, ...
0
votes
2
answers
364
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Non-rigorous math books [duplicate]
I’m self-studying physics and mathematics out of interest and I am looking for some non-rigorous (text)books on mathematics. Perhaps one book covering all areas relevant to physics or separate books ...