# Questions tagged [reference-works]

Reference works include encyclopedias, dictionaries, books of tables (which may include numerical tables, tables of integrals, series, and products, tables of Fourier transforms, tables of finite groups, tables of combinatorial designs, etc.).

123 questions
26 views

### A question in understanding some part of paper of Frobenius

I am learning German, and reading German paper of Frobenius (click here). It is "Verallgemeinerung des Sylow'schen Satzes / G. Frobenius" I didn't understand few things, and I didn't find the answer ...
143 views

### Encyclopedia of Mathematical Proofs with no English

I was wondering if anyone is aware of a modern book that builds a subset of elementary number theory from Peano axioms preferably in a Principia Mathematica fashion? Or similarly an encyclopedia of ...
250 views

### What is the most complete book of integrals and series?

I'm looking for something like "If it's not in this book, it's not known". I've got a copy of Gradshteyn and Ryzhik, which seems pretty good. But I'm hoping there are some better ones out there.
29 views

### Null space and Matrix equations

http://studyguide.pk/Past%20Papers/CIE/International%20A%20And%20AS%20Level/9231%20-%20Further%20Mathematics/9231_s03_qp_1.pdf I would like to know the method to answer question 8. I have been having ...
76 views

### How to come up with proofs of these results? Or, are these results true in the first place?

Let $x_n$ and $y_n$ be integer sequences determined by $$x_n + y_n \sqrt{2} = (1+\sqrt{2})^n \ \ \ \mbox{ for } \ n= 1, 2, 3, \ldots.$$ Then how to show that (a) $x_{n+1} = y_{n+1} + y_n$, \$\ \ \ ...
4k views

### Are the Cram101 books any good for studying mathematics?

I found the book "a Gateway to Modern Geometry: The Poincare Half-Plane" by Saul Stahl, a bit over my budget. but browsing amazon I came across: "Studyguide for a Gateway to Modern Geometry: The ...
194 views

### curves in Poincare half space (3 dimensional hyperbolic geometry)

Okay maybe I am going a bit ahead of my self The Poincare half plane still has many mysteries for me But still I was puzzeling about the 3 dimensional variant of it. So lets assume an hyperbolic 3 ...
17k views

### What is the meaning of the expression Q.E.D.? Is it similar to ■ appearing at the end of a theorem?

I am curious about the meaning of the word Q.E.D. that is often written after a proof of a theorem (some math books use this convention). Edit: Is it similar to the box being placed after a proof of ...
234 views

### Relation between length of arc of horocycle and length of chord?

In Hyperbolic geometry: What is the relation between the length of the arc of a horocycle between two points and the length of the chord (segment) between the two points? Also what is the relation ...
1k views

### Can somebody explain with one example the concepts: Lemma-Hypothesis-Theorem-Assumption-Proof-Axiom-Thesis-Determination-Definition-Proof [closed]

It would be great if someone can give me for each concept a simple explanatory example ! What is the difference between: Lemma Hypothesis (Hypothese) Theorem (Satz) Assumption (Annahme) Proof (...
902 views

### Is there a canonical database of theorems?

Does a (public) database of theorems exist, as integer sequences are cataloged in the Online Encyclopedia of Integer Sequences (OEIS)?
59 views

### Text for study of subgroup lattices of finite abelian groups.

I want to study the subgroup lattice of a finite abelian group. I have found a text on the subject: Subgroup Lattices of Groups by Roland Schmidt, de Gruyter 1994. This book is about subgroups of any ...
130 views

### Where to get 'The American Mathematical Monthly' reprints

Is it possible to obtain printed books containing important articles from The American Mathematical Monthly since it started?
69 views

### 3-Book series on 'Set theory' 'Algebra' and 'Geometry'

I just read book on: 'Set theory and the Structure of Arithmetic by Hamilton and Landig' This book mentioned 'This is first book in a series of 3 books' Where 2nd and 3rd book are on algebra and ...
157 views

### Encyclopedia of integers

Many years ago I read something that mentioned a book I would like to find. Apparently this book is sort of an encyclopedia for integers; each entry lists interesting mathematical facts about that ...
13 views

### References to papers/books that uses a kernel to smooth a discrete distribution

Since a kernel, such as Gaussian, is often used to smooth out the distribution of discrete points in 1D, 2D or 3D, I believe there must be some study materials or research work that have used this, ...
68 views

### L. Jacobsen and H. Waadeland: Glimt fra analytisk teori for kjedebrøker. Del 2.

I am trying to find the aforementioned paper online but have had no luck. I originally spotted it as a reference [26] for the paper Gauss, Landen, Ramanujan, the Arithmetic-Geometric Mean, Ellipses, ...
83 views

### List of theorems by number of proofs

Has anyone ever attempted a list of theorems ranked by the number of published proofs? Maybe such a table could have a column listing the number of known proofs (although it may be optimistic to ...
2k views

### Advice on self study of category theory

I'm very intrested in start to study category theory with aim to use this in algebraic geometry. I already took courses (besides the basics) on commutative algebra and general topology with a soft ...
2k views

### Dictionaries and resources for translation of mathematical terminology

Nowadays English seems to be the most frequently used language in mathematics. (Although plenty of papers and books are published in other languages, e.g., Russian, French, German and Chinese.) ...
314 views

### Encyclopedia of Groups

I was wondering whether or not there was an online encyclopedia of groups--finite or infinite. If there isn't, would you suppose that such a thing would be useful?