Books offered by JF Ptak Science Books

Binet, J. [Parisian mathematician/astronomer J.-Ph.-M. Binet (1786-1856)]

"Note sur la determination de l'integrale eulerienne binome...dans le cas ou l'un des arguments p ou q est un nombre rationnel."  In: Comptes Rendus,15 February 1843, the issue pp 345-411, this occupying pp 377-380.
Issue also incldes two short notices by Fizeau, including one on a Daguerrian process.

Removed from larger bound volume. Fine conditin.  $45

_____.  "Memoire sur la formation d'une classe tres-etendus d'equations reciproques.... " In: Comptes Rendus,12 June 1843, the issue pp 1214, this occupying pp 1273-1280. .

Removed from larger bound volume. Fine conditin.  $45

Gibbs, J. Willard.  "Quaternions and Vector Analysis" in Nature, 17Agusut 1893, pp 364-367 in the issue of pp 361-384.  Weekly issue removed from larger bound volume.  A tight, 3,000-word letter to the Editor. Nice copy. $95  --This is one of the war letters to Nature in which the battle for quaternions/vector analysis was played out, and in this one Gibbs is not pleased with P.G. Tait. 

Lester Hill. "Cryptography in an Algebraic Alphabet".  Article in The American Mathematical Monthly, pp 306-312 int he issue of pp 301-347, volume 36/6, June-July 1929. Original wrappers with the satmaped ownership of F.A. Brandner.  Very good copy.  $25

Advanced Military Cryptography.  TM11-485, US War Department, 8 June 1944.  "Restricted" document. 9x6 inches, 113--, with a folding plate and other text illustrations. Nice copy in original wrappers, with a name on the front wrapper.  $150

Topics include (jn five sections):

• A:  Transposition Systems
  • Monophase transposition systems
  • Polyphase transposition systems
  • True double transposition
  • Grids and other types of matrices
  • Miscellaneous transposition systems
• B:  Substitution System
  • Polygraphic Systems
  • Checkerboard digraphic substitution
  • Complex substitution systems
• C:  Repetitive and Combined Systems
  • Repetitive Systems
  • Combined substitution-transposition system
• D:  Cryptographs and Cipher Machines
  • Cryptographs
  • The obsolete U.S. Army cipher device, type M-94
  • Cipher machines
• E:  Code Systems
  • Code systems in general
  • Enciphered code

Separates from the Bulletin of the American Mathematical Society, 1910-1925

A selection from the Bulletin of the American Mathematical Society, a Historical and Critical Review of Mathematical Science.  Published by the Society at Lancaster, PA.  8x5 inches.  All are bound in the original wrappers. There is a small white call number froma  library on the front wrapper.  Otherwise, all are quite nice (with exceptions noted).  The individual issues in their original wrappers from the early period are uncommon.  A full and excellent bibliographic tool to determine all of the contents of each number is available via the AMS at their site.

Material will be added to this list as there are about 200 issues to be posted. 

Bateman, H. An electromagnetic theory of light-darts.  Pp 385-393. The Josiah Willard Gibbs lectureship, by R. G. D. Richardson; Same left co-set and right co-set multipliers for any given finite group by G. A. Miller; 394-398.  The issue:  Pp 385-431. Wrappers. VG   $20

Bell, E.T.  Square-Partition Congruences.  Pp 349-356.  Issue: pp 337-383.  VG.  $15

Bliss, G.A.  The Reduction of Singularities of Plane Curves by Birational Transformations.  Pp 161-183. And H.D. Curtiss, Relations Between Kindred Riemannuan P and Q Functions.  Pp 154-161.  The issue: 145-194.  Original wrappers. VG.  $15

Bliss, G.A. Eisenhart's Differential Gemetry. Pp 470-479.  Issue pp 445-500.  VOl 17/9, June 1911. VG $15

Bochner, Maxine.  Kowalewski's Determinants.  Pp 120-140. With Eisenhart, Differential Invariants, pp 141-150.  Issue pp 115-166, vol17/3, December 1910.  $20

Dickson, L.E. Hensel's Theory of Algebraic Numbers. Pp 23-36With: Dickson, L.E. On the Factorization of Integral Functions with p-adic Coefficients. Vol 17/1, October 1910.  Issue: pp 1-61.  $15

Ettlinger, H.J.  An Elementary Proof of a Fundamental Lemma Concerning the Limits of a Sum. Pp 219-224. Other contributions by Virgil Snyder and C.A. Fischer.  Issue:  pp 193-240.  VG condition.  $15

Gaba, M.G.  A Sf Axioms for Line Geometry.  Pp 128-138.  March, 1923.  Vol 29/3.  VG  $15

Lefschetz, S. Report on Curves Traced on Algebraic Surfaces. Pp 242-258.  Contributions by D Jackson, DE Smith and JW Young.  Issue: pp 241-289.  VG condition. $15

MacDuffie, C.C. On transformable systems and covariants of algebraic forms.  Pp 26-33.

Ruled surfaces with director planes, by J. K. Whittemore. Pp 21-26.  January 1923. Vol 29/1   VG condition.  $15

Miller, G.A.  Groups Generated by Two Operators Satisfying Two Conditions.  Pp 333-340, issue pp 333-388. VG copy. $15

Moore, R.L.  Report on Continuous Curves from the viewpoint of Analysis Situs. Pp 289-302.  with contributions by GA Bliss and JL Coolidge.  Issue: pp 289-336.  VG copy. $15

[Pedagogy] The Preparation o fCollege and University Instructors in Mathematics. Committee Report.  Pp 77-100. Issue:  pp 61-114.  Vol 17/2, November 1910. $15

[Pedagogy] University Courses in Mathematics and teh Master's Degree.  Pp 230-249.  Issue: pp 223-276. Vol 17/5, February 1910. $15

[Pedagogy] Program for research and the Doctor's Degree in Mathematics.  Pp 305-312, issue pp 277-332p.  Vol 17/6, March 1911.  VG. $15

Poritsky, H. Kinematically Related Curves.  February, 1923. Pp 71-79. Issue: pp 49-96.  Original wrappers. With A History of Greek Mathematics, byThomas Heath.   Reviewer: David Eugene Smith   Vol 29/2  VG  $20

Saurel, Paul. On the Classification of Crystals. Pp 398-409. Issue, pp 389-442. Vol 17/8, May 1911. VG $15

 

(PORTRAIT) Frisius,  Gemma.  Gemma Frisius, Doccomiensis, Medicus et Mathematicus,  ca. 1725.  Fine condition.  Very fine head-and-shoulders portrait of the great mathematician, printed in the early 18th century. UNCOMMON.  $150

From the St. Andrews Site: (Article by: J J O'Connor and E F Robertson) Regnier Gemma Frisius was a native of Friesland, a coastal province in northern Netherlands, which explains his nickname of Frisius. He was educated at the University of Louvain, receiving a medical degree. He became the leading theoretical mathematician in the

(Hopital) Portrait:  "L'Hopital". London: Charles Knight, 1837. Very good condition. 
 Very fine engraving of L'Hopital in half-length portrait. 

From the  St. Andrews Site:  "Guillaume De l'Hôpital served as a cavalry officer but resigned because of nearsightedness. From that time on he directed  his attention to mathematics. L'Hôpital was taught calculus by Johann Bernoulli in 1691. L'Hôpital was a very competent mathematician and solved the  brachystochrone problem. The fact that this problem was solved  independently by Newton, Leibniz and Jacob Bernoulli puts l'Hôpital in very good company.  L'Hôpital's fame is based on his book Analyse des infiniment petits pour l'intelligence des lignes courbes (1692) which was the first text-book to be written on the differential calculus. In the introduction  L'Hôpital acknowledges his indebtedness to Leibniz, Jacob Bernoulli and  Johann Bernoulli but L'Hôpital regarded the foundations provided by him  as his own ideas.

In this book is found the rule, now known as L'Hôpital's rule, for  finding the limit of a rational function whose numerator and denominator tend to zero at a point."

Article by: J J O'Connor and E F Robertson 

Venn and Jevons

W. Stanley Jevons' review of John Venn's Symbolic Logic, in Nature magazine, 14 July 1881.  The article occupies pp 233-234, 4 columns of approximately 700 words per column, or about 2800 words total--short in pages, long in text and content.  Lovely copy.  $95.00

Work by W. Edwards Deming

Deming,  W. Edwards.  "On a Population Sample for Greece".  1947.  Offprint. Printed wrappers.  Fine condition. Offered with:  Deming, W. Edwards and Raymond J. Jensen. "On a Population Sample for Greece". Offprint: Journal of the American Statistical Association, September 1947, vol 42, pp 357-384. Original printed wrappers. Very Good.  And with: Douglas Scates and W. Edwards Deming. "Education in Statistics for Participation in Current Affairs". Offprint: The School Review, vol LVI, May 1948, pp 262-9. Yellow wrappers. Very fine copy

This (first) paper describes a landmark effort to ascertain the fairness of the 1946 Greek elections through statistical means (this begun with the "report of the Allied Mission to Observe Greek Elections" US Dept of State, publication 2522, 1946). The next is the technical report on the "development of the. Scates and Deming's paper is an extremely early popular effort treating its subject matter for general consumption, including (1)one of the earliest uses of statistical accounting, quality control (referencing Shewart's work of 1939); (2) Operations Research (developed at the end of WW2 and made available to the public in 1946; (3) Market Research (quoting the Heidingsfield and Blankenship landmark 1947 study); (4) Standard tests; (5) Clinical Psychology; (6), Accuracy of Voting. Also, on 267 we see the "Statistical Pyramid".... "

Three papers: $300

1851 Copyright Deposit Copy of a Standard Work

Comte,  Auguste.  The Philosophy of Mathematics.  New York:  Harper & Brothers,  1851.  258  Newly rebound in cloth.  Very good condition. 

This is the copyright deposit copy of the U.S. Library of Congress, and the first appearance in English.  $400.00