‎Matemáticas‎

‎STURM, JOHANN CHRISTOPH.‎

‎Mathesis enucleata, Cujus praecipua contenta sub finem praefationis, uno quasi obtutu spectanda, exhibentur.‎

‎Nuremberg, Wolfgangi Maurittii Endteri, 1689. 8vo. In contemporary full vellum with title in contemporary hand to spine. Small paper-label pasted on to top of spine. Extremities with light soiling and a few spots. Internally nice and clean. (40), 474, (4) pp. + 30 plates, mostly loosely inserted. Small contemporary geometrical illustration in contemporary hand are inserted in the text.‎

‎Rare first edition of Sturm’s textbook on mathematics and geometry. Johann Christoph Sturm(1635 – 1703) was a German mathematician, astronomer who made significant contributions to mathematics and astronomy, particularly in the areas of geometry, trigonometry, and optics. He wrote several influential textbooks on mathematics and natural philosophy that were widely used in European universities during the 17th and 18th centuries. One of Sturm's most notable contributions to mathematics is the Sturm's theorem, which he developed in collaboration with his brother, Jacob Sturm. This theorem is used to count the number of roots of a polynomial equation within a given interval‎

Referencia librero : 60898

‎"OZANAM, JACQUES.‎

‎Recreations mathematiques et physiques, qui contiennent plusieurs problemes d'aritmetique, de geometrie, de musique, d'optique, de gnomonique, de cosmographie, de mecanique, de pyrotechnie, et de physique. Nouvelle edition. 4 vols. - [FOUNDING THE GENRE ""RECREATIONAL MATHEMATICS""]‎

‎Paris, Charles Antoine Jombert, 1750 (Vol. 2: 1749). 8vo. Uniformly bound in four nice contemporary full spinkled calf binding with five raised bands and richly gilt spines. Small paper-label pasted on to top of spines. Edges of boards gilt. All edges coloured in red. Light wear to extemities, primarily affecting spine-ends. A nice and clean set. (16), 460, (20) pp. + 32 plates." (4), 462, (14) pp. + 49 plates (2), 482, (12) pp. + 31 plates. (8), 446, (6) pp. + 17 plates. (A total of 129 plates out of 136)‎

‎Beautiful later edition the first work of its kind" ""Recreational Mathematics"".Qzanam's ""contributions consisted of popular treatises and reference works on ""useful and practical mathematics,"" and an extremely popular work on mathematical recreations" the latter had by far the more lasting impact. Ozanam’s Récréations may be regarded as the forerunner of modern books on mathematical recreations. He drew heavily on the works of Bachet de Méziriac, Mydorge, Leurechon, and Daniel Schwenter" his own contributions were somewhat less significant, for he was not a particularly creative mathematician. The work was later augmented and revised by Montucla and, still later, was translated into English by Hutton (1803).""(DSB).‎

Referencia librero : 60995

‎MEGERLIN, PETER.‎

‎Theatrum divini regiminis a mundo condito usque ad nostrum seculum (...) Commentarii chronologici in tabulam mathematico-historicam.‎

‎Basel, Brandmylleri, 1683. 4to. In a contemporary Cambridge-style mirror binding with five raised bands and richlt gilt spine. Small paper-label pasted on to top of spine. Head of spine chipped, showing headbands. Small repair to spine. Lower outer corner of back board with large scratch showing the board underneath. Four-line note in contemporary hand to front free end-paper. Previous owner's name in contemporary hand to title-page. Internally fine and clean. (18), 354, 121, (1) pp. + 1 folded plate.‎

‎First (only?) edition of mathematician Megerlin's work that combines mathematics, history, and theology to create a detailed historical and chronological analysis of divine governance from the creation of the world up to the second half of the 17th century. It is structured around the cycles of significant astronomical events, specifically the conjunctions and oppositions of Saturn and Jupiter, which recur approximately every 800 years. Peter Megerlin (1623–1686) was a German scholar and professor at the University of Basel. He was a theologian and mathematician and his work often reflected an interest in the intersection of these fields, of which this present work if a fine example. Megerlin famously tought Jacob Bernoulli, who later opposed his astrological interpretations of comet appearances. The work is of the utmost scarcity and we have only been able to trace one previous copy in the trade.‎

Referencia librero : 61341

‎(RECCARD, GOTTHILF CHRISTIAN).‎

‎Lehr-buch, darin ein kurzgefasster unterricht aus verschiedenen philosophischen und mathematischen wissenschaften, der historie und geographie gegeben wird Zum gebrauch in schulen. Fünfte vermehrte und verbesserte Auflage.‎

‎Berlin, Realschulbuchhandlung, 1777. 8vo. In contemporary half calf with five raised bands. Boards with scratches and lower part of spine with hole in the leather. Small paper-label pasted on to top of spine. Ex-libris pasted on to top of spine. Internally nice and clean. 36, 634 pp. + 4 plates.‎

‎Fifth edition.‎

Referencia librero : 61436

‎"ABEL, NIELS HENRIK -‎

‎Festskrift ved Hundredaarsjubilæet for Niels Henrik Abels Fødsel.‎

‎Kristiania (Oslo), Jacob Dybwad, 1902. 4to. Ubeskåret i orig. grønt helshirtbd. Forgyldt rygtitel og permtitel. En smule slid ved øverste kapitæl. Portræt af Abel i heliogravure. (12),112,128,62,56,(2), 6 faksimiler (breve etc.) og 1 planche. Eksemplaret har tilhørt Harald Bohr ifølge tilskrift på fribladet: ""Til Harald Bohr paa hans Faders Vegne fra Sophus Torup"". Rent frisk eksemplar.‎

Referencia librero : 53368

‎L'ACADEMIE ROYALE DES SCIENCES -‎

‎Histoire de L'Academie Royale des Sciences. Année MDCCVI. Avec les Memoires de Mathematiques & de Physique, pour la même Année. Tirés des Registres de cette Academie.‎

‎Paris, Martin, Coignard, Guerin, 1731. 4to. Contemp. full mottled calf. Raised bands. Gilt spines. Hinges weakening. Spine rubbed.. (10),152,521 pp. and 25 engraved plates (some folding). Internally fine and clean.‎

‎Papers by: De la Hire, Maraldi, Varignon, Guisnee, Poupart, Chomel, Cassini, Homberg, Lemery, Dodart, Duc de Bourgogne, Mery, Rolle, de Lagny, Marchant, Du Verney, Carré, Geoffroy.‎

Referencia librero : 53428

‎L'ACADEMIE ROYALE DES SCIENCES -‎

‎Histoire de L'Academie Royale des Sciences. Année MDCCII. Avec les Memoires de Mathematiques & de Physique, pour la même Année. Tirés des Registres de cette Academie. Seconde Edition, revue, corrigée & augmentée.‎

‎Paris, Charles-Estienne Hochereau, 1720. 4to. Contemp. full mottled calf. Raised bands. Richly gilt spines. Gilt borders on covers. (8),140,336 pp. and 12 engraved plates (some folding). Internally clean.‎

‎Papers by: Tschirnhaus, De la Hire, Cassini le fils, Carré, Littre, Homberg, Varignon, Chazelles, Cassini, Amontons, Rolle, Boulduc, Du Verney, Tournefort, Bernoulli, Sauveur.‎

Referencia librero : 53432

‎FELICI, RICCARDO.‎

‎Ueber die mathematische Theorie der elektrodynamischen Induction. uebersetzt von B. Dessau. herausgegeben von E. Wiedemann.‎

‎Leipzig, Engelmann, 1899. Orig. printed stiff boards. 121 pp.‎

‎Ostwald's Klassiker der Exakten Wissenschaften Nr. 109.‎

Referencia librero : 53474

‎LAPLACE, P.S. (PIERRE-SIMON).‎

‎Mechanik des Himmels. Aus dem Französischen übersetzt und mit erläuternden Anmerkungen versehen von J.C. Burckhardt. 1.-2. Theil. 2 Bde.‎

‎Berlin, La Garde, 1800-02. 4to. 2 contemp. hcalf. Title-and tome labels. A paperlabel pasted on lower part of spine. Stamp on foot of title-page. (2),VIII,482"(2),458 pp. + (4) pp. of Publisher's announcement. Light browning to the first few leaves, otherwise fine and clean.‎

‎First German edition of the general section of the famous ""Traité de Méchanique Céleste"" comprising the translation of its 2 first volumes, being all translated into German.PMM, 252 (the French ed.).‎

Referencia librero : 53593

‎"BABBAGE, CHARLES‎

‎Observations on the Notation employed in the Calculus of Functions. (Read May 1. 1820).‎

‎London, Cambridge University Press, 1822. 4to. In recent paper wrappers. Extracted from the ""Transactions of the Cambridge Philosophical Society"", Volume 1, bound with the title-page of the volume. Fine and clean. (2), (63)-76‎

‎First appearance of Babbage paper on the notation employed in the Calculus of Functions.""Babbage's major Contribution to mathematics was his calculus of functions, which he became interested in as early as 1809 and continued to develop during his years at Cambridge. Babbage presents his major ideas on the subject in the above two papers, published in the ""Philosophical Transactions"" in 1815 and 1816. ""It can be said with some assurance that no mathematician prior to Babbage had treated the calculus of functions in such systematic way...Babbage must be given full credit as the inventor of a distinct and importent branch of mathematics"" (Dubbey 1978, 90). Elsewhere Dubby states that his new scheme would serve as a generalized calculus to include all problems capable of analytical formulation, and it is possible to see here a hint of the inspiration for his concept of THE ANALYTICAL ENGINE. While the work on the engines and his other scientific, social and political activities caused him virtually to abandon mathematical research at the age of thirty, the calculus of functions was the area he often yearned to continue. In fact the calculus of functions was not taken up by other workers, and it is the aspect of Babbage's mathematical work that modern mathematicians find most fascinating (Dubbey 1989, 18-19)."" (Hook a. Norman No. 19).‎

Referencia librero : 54404

‎"TURING, A.M.‎

‎Systems of Logic based on Ordinals. [Received 31 May, 1938. - Read 16 June, 1938.]. [In: Proceedings of the London Mathematical Society. Second Series. Volume 45]. - [TURING'S PH.D.-THESIS]‎

‎London, Hodgson & Son, 1939. Royal8vo. In a recent nice red full cloth binding with gilt lettering to spine. Entire volume 45 of ""Proceedings of the London Mathematical Society. Second Series"". Small white square paper label pasted on to lower part of spine, covering year of publication stating: ""A Gift / From /Anna Wheeler"". A very nice and clean copy without any institutional stamps. Pp. 161-240. [Entire volume: (4), 475 pp.].‎

‎The rare first printing of Turing's Ph.D.-thesis, which ""opened new fields of investigation in mathematical logic"". This seminal work constitutes the first systematic attempt to deal with the Gödelian incompleteness theorem as well as the introduction to the notion of relative computing. After having studied at King's College at Cambridge from 1931 to 1934 and having been elected a fellow here in 1935, Turing, in 1936 wrote a work that was to change the future of mathematics, namely his seminal ""On Computable Numbers"", in which he answered the famous ""Entscheidungsproblem"", came up with his ""Universal Machine"" and inaugurated mechanical and electronic methods in computing. This most famous theoretical paper in the history of computing caught the attention of Church, who was teaching at Princeton, and in fact he gave to the famous ""Turing Machine"" its name. It was during Church's work with Turing's paper that the ""Church-Turing Thesis"" was born. After this breakthrough work, Newman, under whom Turing had studied at Cambridge, urged him to spend a year studying with Church, and in September 1936 he went to Princeton. It is here at Princeton, under the guidance of Church, that Turing in 1938 finishes his thesis [the present paper] and later the same year is granted the Ph.D. on the basis of it. The thesis was published in ""Proceedings of the London Mathematical Society"" in 1939, and after the publication of it, Turing did no more on the topic, leaving the actual breakthroughs to other generations. In his extraordinary Ph.D.-thesis Turing provides an ingenious method of proof, in which a union of systems prove their own consistency, disproving, albeit shifting the problem to even more complicated matters, Gödel's incompleteness theorem. It would be many years before the ingenious arguments and striking partial completeness result that Turing obtained in the present paper would be thoroughly investigated and his line of research continued. The present thesis also presents other highly important proofs and hypotheses that came to influence several branches of mathematics. Most noteworthy of these is the idea that was later to change the face of the general theory of computation, namely the attempt to produce an arithmetical problem that is not number-theoretical (in his sense). Turing's result is his seminal ""o-machines"""" he here introduces the notion of relative computing and augments the ""Turing Machines"" with so-called oracles (""o""), which allowed for the study of problems that could not be solved by the Turing machine. Turing, however, made no further use of his seminal o-machine, but it is that which Emil Post used as the basis for his theory of ""Degrees of Unsolvability"", crediting Turing with the result that for any set of natural numbers there is another of higher degree of unsolvability. This transformed the notion of computability from an absolute notion into a relative one, which led to entirely new developments and in turn to vastly generalized forms of recursion theory. ""In 1939 Turing published ""Systems of Logic Based on Ordinals,""... This paper had a far-reaching influence"" in 1942 E.L. Post drew upon it for one of his theories for classifying unsolvable problems, while in 1958 G. Kreisel suggested the use of ordinal logics in characterizing informal methods of proof. In the latter year S. Feferman also adapted Turing's ideas to use ordinal logics in predicative mathematics."" (D.S.B. XIII:498). A part from these groundbreaking points, which Turing never returned to himself, he here also considers intuition versus technical ingenuity in mathematical reasoning, does so in an interesting and provocative manner and comes to present himself as one of the most important thinkers of modern mathematical as well as philosophical logic.""Turing turned to the exploration of the uncomputable for his Princeton Ph.D. thesis (1938), which then appeared as ""Systems of Logic based on Ordinals"" (Turing 1939). It is generally the view, as expressed by Feferman (1988), that this work was a diversion from the main thrust of his work. But from another angle, as expressed in (Hodges 1997), one can see Turing's development as turning naturally from considering the mind when following a rule, to the action of the mind when not following a rule. In particular this 1938 work considered the mind when seeing the truth of one of Gödel's true but formally unprovable propositions, and hence going beyond rules based on the axioms of the system. As Turing expressed it (Turing 1939, p. 198), there are 'formulae, seen intuitively to be correct, but which the Gödel theorem shows are unprovable in the original system.' Turing's theory of 'ordinal logics' was an attempt to 'avoid as far as possible the effects of Gödel's theorem' by studying the effect of adding Gödel sentences as new axioms to create stronger and stronger logics. It did not reach a definitive conclusion.In his investigation, Turing introduced the idea of an 'oracle' capable of performing, as if by magic, an uncomputable operation. Turing's oracle cannot be considered as some 'black box' component of a new class of machines, to be put on a par with the primitive operations of reading single symbols, as has been suggested by (Copeland 1998). An oracle is infinitely more powerful than anything a modern computer can do, and nothing like an elementary component of a computer. Turing defined 'oracle-machines' as Turing machines with an additional configuration in which they 'call the oracle' so as to take an uncomputable step. But these oracle-machines are not purely mechanical. They are only partially mechanical, like Turing's choice-machines. Indeed the whole point of the oracle-machine is to explore the realm of what cannot be done by purely mechanical processes...Turing's oracle can be seen simply as a mathematical tool, useful for exploring the mathematics of the uncomputable. The idea of an oracle allows the formulation of questions of relative rather than absolute computability. Thus Turing opened new fields of investigation in mathematical logic. However, there is also a possible interpretation in terms of human cognitive capacity."" (SEP).Following an oral examination in May, in which his performance was noted as ""Excellent,"" Turing was granted his PhD in June 1938.‎

Referencia librero : 54748

‎"BABBAGE, CHARLES‎

‎Observations on the Notation employed in the Calculus of Functions. (Read May 1. 1820).‎

‎London, Cambridge University Press, 1822. 4to. In plain white paper-wrappers with title-page of journal volume pasted on to front wrapper. In ""Transactions of the Cambridge Philosophical Society"", Volume 1. Fine and clean. Pp. (63)-76‎

‎First appearance of Babbage paper on the notation employed in the Calculus of Functions.""Babbage's major Contribution to mathematics was his calculus of functions, which he became interested in as early as 1809 and continued to develop during his years at Cambridge. Babbage presents his major ideas on the subject in the above two papers, published in the ""Philosophical Transactions"" in 1815 and 1816. ""It can be said with some assurance that no mathematician prior to Babbage had treated the calculus of functions in such systematic way...Babbage must be given full credit as the inventor of a distinct and importent branch of mathematics"" (Dubbey 1978, 90). Elsewhere Dubby states that his new scheme would serve as a generalized calculus to include all problems capable of analytical formulation, and it is possible to see here a hint of the inspiration for his concept of THE ANALYTICAL ENGINE. While the work on the engines and his other scientific, social and political activities caused him virtually to abandon mathematical research at the age of thirty, the calculus of functions was the area he often yearned to continue. In fact the calculus of functions was not taken up by other workers, and it is the aspect of Babbage's mathematical work that modern mathematicians find most fascinating (Dubbey 1989, 18-19)."" (Hook a. Norman No. 19).Erwin Tomash B47‎

Referencia librero : 54754

‎"BOOLE, GEORGE.‎

‎Of Propositions Numerically Definite. [Read March 16th], 1868].‎

‎London, Taylor and Francis, 1869. 4to. In plain white paper-wrappers with title-page of journal volume pasted on to front wrapper. In ""Transactions of the Cambridge Philosophical Society"", Volume 11. Fine and clean. Pp. 395-411, (1) + the pasted on title-page.‎

‎First appearance.‎

Referencia librero : 54758

‎ARNOLD, JOH. N. (JOHANN NIKOLAUS).‎

‎Praktischer Ingenieur worinnen die Rechenkunst, Geometrie theoretisch und praktisch bewiesen, vom Proportionalzirkel, von der Bauberechnung, Wasserwage, von Festungswerker, Belagerung und Vertheidigung der Städten, von den Sinustafeln und trigonometri...‎

‎Köln am Rhein, Kosten des Verfassers, (17939. 4to. Contemp. hcalf. Gilt spine. Title-label with gilt lettering. A paperlabel pasted on lower part of spine. Stamps on title-page. Stamped monogram of the Danish King Frederik VI on inside frontcover. (10),140,168,56,76 pp., 1 folded table and 20 folded engraved plates. Some scattered brownspots, mainly on the first leaves.‎

‎First edition. - Klaus Jordan, 104.‎

Referencia librero : 54799

‎VENTURINI, G.‎

‎Mathematisches System der reinen taktik zur uebersicht und zum gebrauch für officiere und für Lehrer dieser Wissenschaft in Militairschulen.‎

‎Braunschweig, Vieweg, 1802. Cont. hcalf. Titlelabel with gilt lettering. Upper compartment on spine, rubbed. Stamp on title. VI,132 pp.‎

Referencia librero : 54940

‎MEINERT, FRIEDRICH.‎

‎Anweisung zum Nivelliren und Profiliren. Mit 5 Kupfertafeln.‎

‎Halle, Rengerschen Buchhandlung, 1801. Contemp. hcalf. Richly gilt spine. Titlelabel with gilt lettering. A paperlabel pasted on upper part of spine. Stamps on title-page. (4),VIII,340 pp., 5 folded engraved plates. Light scattered browning and 1 leaf strenghtened in right margin.‎

‎First edition.‎

Referencia librero : 55399

‎TEGNER, P.W.‎

‎Analytisk retlinet og sphærisk Trigonometrie, til Brug ved det kongelige S'cadet0Academie.‎

‎Kjøbenhavn, Qvist, 1834. Samtidigt hldrbd., permer moirepræget med guldbordure. Forgyldt rygtitel. Øverste del af ryg med lidt tab. 63,(1) pp., 3 foldetabeller, 1 foldet kobberstukket planche. I udstyr som et gaveeksemplar. Trykt på velin. Aldeles frisk.‎

Referencia librero : 55898

‎LE BLOND, G.‎

‎Élémens D'Algebre, ou du Calcul Littéral. Avec un Précis de la Methode analytique appliquée à la résolution des Équations du premier & du second dégré.‎

‎Paris, Jombert, 1768. Contemp. hcalf. Gilt spine. Titlelabel with gilt lettering. A paperlabel pasted on spine. Stamps on title-page. XXXII,430,(8) pp., 2 folded plates. Large engraved vignette on dedication-leaf. Internally clean, printed on good paper.‎

‎Poggendorff I, 1398.‎

Referencia librero : 56167

‎SAVERIEN, (ALEXANDRE).‎

‎Dictionnaire universel de Mathematique et de Physique, ou l'on traite de L'origine, du progrès de ce deuz Sciences & des Arts qui en dépendent, & des diverses révolutions qui leur sont arrivées jusqu'à notre tems avec l'exposition de leurs Princ...‎

‎Paris, Rollin, Jombert, 1753. Large 4to. 2 contemp. full mottled calf. Raised bands. Tome- and titlelabels with gilt lettering. Richly gilt spines. Corners a bit bumped. With the royal crowned monogram of King Christian VII in gold on red background on upper boards. Stamp on foot of title-pages. (4),XXVIII,483(4),486,(2) pp., 101 large folded engraved plates with numerous figs. (mathematics, physics, applied and pure...). A few scattered brownspots.‎

‎Scarce first edition of this encyclopedia of the mathematical sciences, pure and applied.Poggendorff II,761.‎

Referencia librero : 56399

‎MATTHISEN, SØREN.‎

‎Compendium Arithmeticum, eller Veyviiser, hvorved man paa korteste og netteste Maade kan ledsages til Regne=Konstens rette Brug. Første formeerede og forbedrede Edition. (+ Sammes:) En kort Formular, til Adskillige Breve udi Husslige, Handels, Vexlers...‎

‎Kjøbenhavn, Berling, 1747. Lille8vo. Samtidigt hldrbd. Ophøjede bind på ryggen. Blindtrykte stempler i rygfelter. En papirsetiket påsat nederste rygfelt. Revner i skindet ved forreste kapitæl, men permen ikke løs. Stempel på titelbladet. (12),260 pp., 1 blad Mangler (pp.153/54), tekstfigurer. + (4),140 pp. Lettere brugsspor.‎

Referencia librero : 56607

‎NIEUPORT, CHARLES FRANCOIS LE PROUDHOMME D'HAILLY.‎

‎Mélanges Mathematiques, ou Mémoires sur différens sujets de Mathématiques tant pures qu'appliquées. Premier (- Second) Recueil. 2 Vols. (+ Suite) Mémoire sur l'intégrabilité médiate des équations différentielles, d'un ordre quelconque, et entre un ...‎

‎Bruxelles, Lemaire, 1794-99. 4to. Bound in one, a bit later, hcalf. Gilt spine. Tome- and titlelabels with gilt lettering. Neath repairs to spine. XXIII,282,(6)XXVI,242,(6) pp., 3 folded engraved plates. + (4),54 pp. Internally clean and fine.‎

‎Poggendorff II,288.‎

Referencia librero : 56685

‎"BABBAGE, CHARLES‎

‎An examination of some questions connected with games of chance (+) On the Application of Analysis to the Discovery of Local Theorems and Porisms. - [BABBAGE'S ONLY PAPER ON PROBABILITY]‎

‎Edinburgh, William & Charles Tait / London, Longman, etc, 1823. 4to. In recent marbled paper wrappers. Extracted from ""Trans. Roy. Soc. Edinburgh"" 9, pt. 1 (1821). Leaves reinforced in margin. Pp. (6), 153-177, 337-352.‎

‎First Edition of Babbage's only paper on probability. ""In this paper [Babbage's] concern was primarily mathematical, and we will find considerable skill in the manipulation of functions and polynomials. [...] The major interest in this particular paper [is] the ingenious use of algebra to solve probability problems, especially the devices using the coefficients of polynomials and the roots of unity"" (Dubbey, The Mathematical Work of Charles Babbage, pp. 141-42).Erwin Tomash B22‎

Referencia librero : 56997

‎MÜLLER, JOHANN WOLFGANG.‎

‎Auserlesene mathematische Bibliothek oder alphabetisches und wissenschaftliches verzeichnis der besten arithmetischen, algebraischen, geometrischen etc. etc.‎

‎Nürnberg, Lehnerischen Buchhandlung, 1820. Contemp. hcalf. Gilt spine. Titlelabel with gilt lettering. Stamps on title-page. 22,266 pp. Scattered brownspots.‎

Referencia librero : 57301

‎BÜSCH, JOHANN GEORG.‎

‎Encyclopedie, angaaende de historiske, philosophiske og mathematiske Videnskaber. Fordansket. (Første-) Anden Deel.‎

‎Kiøbenhavn, Simmelkiær, 1783. Samtidigt hldrbd. Rygforgyldning. Forgyldt skindtitel. 2 etiketter påsat ryggen. Stempel på titelblad. 88),432,300 pp., 1 kobberstukket foldeplanche.‎

‎Første danske udgave.‎

Referencia librero : 57623

‎"THE MAGNETRON ISSUE - FISK, J. B. (+) H. D. HAGSTRUM (+) P. L. HARTMAN.‎

‎The Magnetron as a Generator of Centimeter Waves. Developments at the Bell Telephone Laboratories, 1940-1945.‎

‎New York, American Telephone and Telegraph Company, 1946. 8vo. In the original printed blue wrappers. In ""The Bell System Technical Journal"", Volume XXV, Number 2, April 1946. Light miscolouring to spine and previous owner's name to front wrapper. Other wise a fine and clean copy. Pp. (4), 167-349.‎

‎First printing of Bell Labs Magnetron issue. The Magnetron is a high-powered vacuum tube that through a stream of electrons in a magnetic field generates microwaves. This reduced the size of radar sets which made it possible to install them in anti-submarine aircrafts and escort ships. This had a profound influence on the warfare during WWII. Today magnetrons are commonly used in microwave ovens and in various radar applications.""The studies of Fisk, H. D. Hagstrum, and P. L. Hartman [the present paper] increased the understanding of the role that the various possible modes of oscillation played in magnetron operation and the effect of the wire straps - which later evolved into two pair of concentric copper rings."" (Millman, S. A History of Engineering & Science in the Bell System, 1984, p. 173).‎

Referencia librero : 57762