# Questions tagged [reference-request]

This tag is for questions seeking external references (books, articles, etc.) about a particular subject. Please do not use this as the only tag for a question.

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### Uniqueness of the ternary Golay codes

In [Van Lint - Introduction to Coding Theory] the uniqueness of the binary Golay codes is shown quite easily. In essence, the proof boils down to the fact that there is only one 2-$(11,5,2)$-design up ...
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### References for me to understand current approaches to settle $P$ vs $NP$

I am an undergrad student that likes to study approaches to settle $P$ vs $NP$. I know that there is GCT method, and another way is to attack it by logic equivalent. I am a double major student in CS ...
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### Books about operator algebra and number theory

Does anyone know books that covers both operator algebras and number theory. Actually, a number theory books that has operator algebraic approaches.
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### Reference for time dependent traces

Consider the spaces $H^{1/2}(0,T; L^2(\partial\Omega))$, or $L^2(0,T;H^{3/2}(\Omega))$ and what not. I'm interested in a reference book illustrating the meaning, properties of these spaces (so, ...
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Let $f$ be a function in the atomic Hardy space $H^1_{at}(\mathbb R^n)$. That is, there exists a sequence of atoms $a_j$ satisfying supp $a_j \subset B_j$ for some ball $B_j$, $\int a_j dx = 0$, $\... • 291 0 votes 0 answers 55 views ### Vladimir Zorich an ideal substitute for Baby Rudin? I am currently ploughing through Zorich's Analysis Volume I, after which I plan on reading the Volume II. Truth be told, I am truly enjoying this read. A little background: I am a first year math ... • 17 -2 votes 0 answers 21 views ### Is there a solution manual for GMT Graph Theory ( Adrian Bondy, U.S.R. Murty)? [closed] I am looking for an offical solutions manual for Graph theory. There is S&M for another Graph theory with Apps. However it seems no S&M for GMT Graph theory(the yellow front), considering ... 0 votes 0 answers 17 views ### Books for learning Hyperbolic Dynamical Systems and differentiable manifolds I am looking for some books/lectures that cover Hyperbolic Dynamical systems and supplemental materials that cover the very basics of differentiable manifolds, enough to understand everything relevant ... • 1,574 2 votes 2 answers 57 views ### Does the set of convex combination of points in Cantor set contains a non empty open interval?$\mathcal{C}$denote the cantor middle third set. $$\mathcal{C}_t=\{(1-t)x+ty : x, y\in \mathcal{C} \}$$$\mathcal{C}_0=\mathcal{C}_1=\mathcal{C}$and we can prove that that$\mathcal{C}$contains no ... • 4,159 0 votes 0 answers 31 views ### Let$f:\Bbb N^2\to\Bbb R:(m,n)\mapsto a^mb^n$, with$0<a<1<b$. Is$\operatorname{im}\! f$dense in$\Bbb R_{>0}$? Given real$a$and$b$with$0<a<1<b$, can every positive real number be arbitrarily well approximated by a number of the form$a^mb^n$($m,n\in\Bbb N$), provided that$a^mb^n=1$only when$m=...
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As a high school student, I will soon be going on to do the IB(college equivalent). As part of the IB curriculum we are expected to write an Extended Essay(EE) that counts towards our grade. For the ...
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### Am I learning math wrong?

This may be not really related to math. I'm currently learning differentiation, and no matter how many math problems I do, it seems that I always get it wrong in the exam, either having calculated ...
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### Dual of $L \log L(\mathbb{R})$

Consider the space$$L\log L(\mathbb{R})=\left \{f\in L^1(\mathbb{R}):\int \limits _\mathbb{R}|f(x)|\log ^+|f(x)|\,dx<\infty \right \}.$$Is it known what its dual and predual spaces are? Also any ...
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### Attempting to restate the question of whether the collatz conjecture has a nontrivial cycle as a combinatorics problem

It occurs to me that the question about whether non-trivial cycles exist for the collatz conjecture can be restated as these two questions (details on how this relates to the collatz conjecture can be ...
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### Reference request for books on Sieve Theory

For various reasons, I am hoping to study sieving methods some during this summer. My general goal would be to read a book on the topic, complete relatively large amounts of questions in my own, and ...
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### Multidimentional real analysis.Reference request.

I wanted a rigorous self contained book on multivariable calculus. I found someone recommending this book "Multidimensional real analysis" by Duistermaat,Kolk on mSE but couldn't find any ...
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### Build a "rich" first-order logic within a given category

I would like to know a mathematical framework with an internal logic where isomorphic objects can be considered equal. For example, consider the rationals $\mathbb{Q}$. With this set we can construct ...
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### Reference request: Bounded operators are not a Hilbert space

I believe that the following is true: Let $X$ and $Y$ be normed spaces, both of dimension at least $2$. Then, the space of bounded linear operators $L(X,Y)$ is not a Hilbert space. Is there a nice ...
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### Where can I find matrix topology problems?

I am an NBHM aspirant. I am currently studying MSc in Mathematics. In NBHM, I have seen questions from topology of the space of matrices for example compactness, connectedness, openness, closedness ...
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### Good applied differential geometry books

I'm searching a book which goes about how Differential Geometry can be applied to solve Real world problems. I tried William L Burke's book, but I found it to be all over the place. The information, ...
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### A Reference From Andrej Bauer's Recent Talk on Countable Reals

Andrej Bauer gave a talk today in the topos institute colloquium (video here) announcing a proof that the dedekind reals can be countable in the absence of LEM and CC. At roughly the 27 minute mark, ...
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