Algebra - photo 1

Algebra

Lot 190
28.01.2025 10:00UTC -05:00
Classic
Sold
$ 6 930
AuctioneerCHRISTIE'S
Event locationUSA, New York
Archive
The auction is completed. No bids can be placed anymore.
Archive
ID 1360907
Lot 190 | Algebra
Estimate value
$ 7 000 – 9 000
LOBACHEVSKY, Nikolai Ivanovich . Algebra ili vychislenie konechnykh [Algebra or the Calculus of Finite Numbers]. Kazan: University Press, 1834.

First edition of the only monograph published in the life-time of the author, in which he demonstrates the immediate numerical determination of algebraic equations.

The majority of Lobachevsky's works on non-Euclidean geometry and other mathematical and scientific fields were confined primarily to journals and small pamphlets (see following lots). This is the only comprehensive book to appear in his life-time, and shows his radical approach to solving equations using a synthesis of geometrical and analytical systems. Preceding his contemporaries, he discovered how to separate the roots of equations by repeated squaring, a method suggested by Newton and in 1781 touched on by Euler. It was his unorthodox methods in this work that historians cite as essential to his solution of the parallel problem in Euclidean geometry (see Youschkevitch and Bashmakova). He originally wrote this text for a course of lectures at the University of Kazan in 1825. It was rejected by the censors for political reasons and unfortunately Lobachevsky's efforts in mathematics outside of geometry have languished in relative obscurity. According to Gnedenko, Lobachevsky should be considered one of the major precursors to the theory of relativity. The methodology utilized in both Algebra and his paper "The Origins of Geometry," was overlooked until Einstein demonstrated that the universe was non-Euclidean in structure and that Lobachevsky's theoretical concepts had a very practical application. A.P. Youschkevitch and I.G. Baschmakova, "Algegra ili vychisleni Konechnyhy," n Istoriko-matematicheskie issledovaniya 2, pp. 720-28; G.V. Gnedenko "O rabotah N.I. Lobachevsky po teorii veroiatnostei" ["About the Works of N.I. Lobachevsky on the Theory of Relativity"= in Istoriko- matematicheskie issledovaniya 2, pp.129-136.

Octavo (222 x 127 mm). Title-page is the variant without typographic border, priority unknown. (Some very pale dampstain at start and a scattered few spots, repairs to lower margins of π3 and 1.6.) 20th-century Russian leatherette gilt, uniform slipcase. Provenance: cancelled ownership inscription on title – V.M. Loseva (private library bookplate).
Place of origin:Russia
Address of auction CHRISTIE'S
20 Rockefeller Plaza
10020 New York
USA
Preview
14.01.2025 – 28.01.2025
Phone +1 212 636 2000
Fax +1 212 636 4930
Email
4FQ.AYGKAGLUQ@FO3G@
Conditions of purchaseConditions of purchase
Shipping Postal service
Courier service
pickup by yourself
Payment methods Wire Transfer
Business hoursBusiness hours
Mo 09:30 – 17:00   
Tu 09:30 – 17:00   
We 09:30 – 17:00   
Th 09:30 – 17:00   
Fr 09:30 – 17:00   
Sa closed
Su closed

More from Creator

Novye nachala geometrii s polnoi teoriei parallelnykh
Novye nachala geometrii s polnoi teoriei parallelnykh
$4 500
Three works on imaginary geometry
Three works on imaginary geometry
$4 500

Related terms

Frequently asked questions

First of all, you should register to be able to purchase at auction. After confirming your email address, enter your personal information in your user profile, such as your first name, last name, and mail address. Choose a lot from the upcoming auction and the maximum amount you want to place on it. After confirmation of your choice, we will send your application by e-mail to the appropriate auction house. If the auction house accepts a request, it will participate in the auction. You can view the current status of a bid at any time in your personal account in the "Bids" section.
Auctions are performed by auction houses and each of the auction houses describes their terms of auction. You can see the texts in the section "Auction information".
The results of the auction are published within a few days after the end of the auction. In the top menu of the site, find the tab "Auctions". Click on it and you will be on the auction catalog page, where you can easily find the category "Results". After opening it, select the desired auction from the list, enter and view the current status of the interested lot.
The information about the auction winners is confidential. The auction winner will receive a direct notification from the auction house responsible with instructions for further action: an invoice for payment and the manner in which the goods will be received.
Each of the auction houses has its own payment policy for the won lots. All auction houses accept bank transfers, most of them accept credit card payments. In the near future you will find detailed information for each case in the section "Auction information" on the page of the auction catalog and the lot.
Shipment of the won lot depends on its size. Small items can be delivered by post. Larger lots are sent by courier. Employees of the auction houses will offer you a wide range to choose from.
No. The archive serves as a reference for the study of auction prices, photographs and descriptions of works of art.