*List of 18th and 17th century works
in the Bibliotheca Mathematica
Contents of Portfolio Quarto 1
Random selections
of 19-th century works from the other Portfolios.
List of some mathematics textbooks in the
* Bibliotheca Paedagogica

The Dutch mathematician and historian of mathematics
David Bierens de Haan (1822 - 1895) left most of his enormous library
on mathematics and history of science to the Library of the University of Leiden.
The bequest consists of thousands of books as well as
tens of thousands of reprints and pamphlets. Most of the books have been
catalogued, but the Bierens de Haan library includes three
very large collections of booklets and reprints which
cannot be accessed through the catalogue of the Leiden
University Library. These three collections
are called the *Bibliotheca Paedagogica*, the *Bibliotheca Biographica*,
and the *Bibliotheca Mathematica*.

In 2003, an exhibition was
devoted to Bierens de Haan, and an inventory of the
*Bibliotheca Paedagogica*
and the *Bibliotheca Biographica* was
published in pp. 92-108 of Kaspar van Ommen,
*"Een Onvermoeide Arbeid Komt Alles te
Boven": De Bibliotheca Mathematica, paedagogica and biographica
van David Bierens de Haan*, Leiden 2003 (Kleine publicaties van de
Universiteitsbibliotheek Nr. 54). This publication will be abbreviated
to EOA.

The *Bibliotheca Paedagogica* consists of around 350
portfolios of on average 20 thematically ordered publications on
(history of) primary, secondary and university education. The
portfolios are listed in EOA as
in the following examples:
(octavo format) port. no. 58 Polytechnical School
at Delft (29 publications, not listed individually); port. no. 88
Primary Education in general, publications between 1860 and 1864 (32
publications, not listed individually) (and (quarto format) port. no.
80a, University of Freiburg i. Br, Orations
and Programs, 1818-1895 (26 publications, not listed individually).

The *Bibliotheca Biographica* consists of 47 portfolios
containing biographies and biographical information, ordered
alphabetically on the name of author. These portfolios are listed in EOA
as follows: (For example: Port. 1: C.A. Abbing - M. d'Avezac;
Port. 2: Ch. Babbage to A.J. Beauvisage, etc.).

For the * Bibliotheca Mathematica*,
the number of publications in each portfolio is listed in EOA, as in
the following examples:
Bib. Math. Octavo, Port. I, no's 1-29, Bib. Math. Octavo, Port. II,
no's 1-25,
etc. Bibl. Math. Octavo Port. XXXII no's 1-12; Bibl. Math. Quarto Port.
I, no's 1-40, etc. EOA does not contain information on the titles and
contents of the individual
publications in each portfolio.

The curator of the Western rare book section,
Dr. Anton van der Lem, graciously made the *Bibliotheca Mathematica*
accessible to me for inspection. Subsequently, the entire *Bibliotheca Mathematica*
was entered into the catalogue of the Leiden University Library by Dr. Harm Jan Smid.
All the items can now be accessed through the catalogue. I nevertheless leave
these documents on my website mainly for nostalgic reasons.

It turns out that the *Bibliotheca Mathematica* is not thematically
ordered. The focus is on offprints and booklets in research mathematics
(as opposed to teaching)
which were published in the nineteenth century, in which Bierens de
Haan himself lived. Mathematics is taken in a wide sense, including
physical and astronomical applications, insurance mathematics, and so on.
There are few publications devoted to teaching, and very few which have
no relation to mathematics at all.
The *Bibliotheca Mathematica*
includes many German gymnasium programmes which contain
mathematical publications.
Gymnasium programmes are also a special category in the
*Bibliotheca Paedagogica*.

All the material in the Octavo portfolios is of course in octavo
format. The Quarto portfolios contain many publications in octavo too.

To give an example of the random organization of the
*Bibliotheca Mathematica*, I have listed the titles of the
(40) publications in the first quarto postfolio below.
In the limited time at
my disposal, I cannot catalogue the whole collection. I have
compiled a list with (abbreviated) titles of all works in the
*Bibliotheca Mathematica* which were printed before 1800.
and another list of various treatises in the Bibliotheca Mathematica
which seemed interesting or odd to me.

The *bibliotheca Mathematica* includes some
very rare treatises, not otherwise found in the Netherlands.
See the end of the list of 17th and 18-th century
books in the *Bibliotheca Mathematica*. I have done some checking in the Dutch Central Catalogue (NCC) and have added [not in NCC] if the item in
question does not occur in this catalogue.

It turns out that the *Bibliotheca Mathematica* actually has been
catalogued by hand, probably around the beginning of the
20th century. The Leiden University Library possesses
two green cardboard boxes, each containing around
750 paper slips (ca. 5 by 20 cm). Each slip contains an author's
name, and title of one publication
together with its location
in the Bibliotheca Mathematica
(portfolio number and publication number in the portfolio).
The slips are ordere alphabetically. The green box
"Bibliotheca Mathematica no. 2" contains author's names A through J,
and the green box
"Bibliotheca Mathematica no. 1" contains author's names K through Z.

The *Bibliotheca Paedagogica* was also catalogued
in a similar way, and the slips occupy 5 boxes
(A-C, C-H, H-M, M-S, S-Z).

*List of 18th and 17th century works
in the Bibliotheca Mathematica
Contents of Portfolio Quarto 1
Random selections
of 19-th century works from the other Portfolios.
List of some mathematics textbooks in the
* Bibliotheca Paedagogica

Back to main screen of Jan Hogendijk's home page.

Jan Hogendijk <J.P.Hogendijk_at_uu.nl> nov 2005