The inventory was last updated:
18th May 2012
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ADAMS, John Couch.
An Explanation of the Observed Irregularities in the Motion of Uranus, on the Hypothesis of Disturbances caused by a more Distant Planet; with a determination of the mass, orbit and position of the disturbing body. (From the Appendix to the National Almanac for the year 1851).
London:
W. Clowes & Sons,
1846.
First edition, offprint issue.
The discovery of Neptune. "In this pamphlet Adams had postulated mathematically the existence of an unknown planet from its gravitational manifestations. Le Verrier simultaneously and independently made the same discovery. J.G. Galle found the planet, Neptune, on the first night it was sought, on the basis of Le Verrier’s prediction."...
[Item #2353]
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Illustrated by Rubens
AGUILON, François d’
Opticorum libri sex philosophis iuxta ac mathematicis utilis.
Antwerp:
Plantin,
1613.
First edition.
A fine copy of this “master treatise on optics that synthesized the works of Euclid, Ibn al-Haytham (Alhazen), Vitellion, Roger Bacon, Pena, Ramus (Pierre de la Ramée), Risner, and Kepler.” (DSB). Norman 25; Honeyman 43.
[Item #2743]
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AMPÈRE, André Marie.
Mémoires sur l'action mutuelle de deux courans électriques, sur celle exise entre un courant électrique et un amiant ou le globe terrestre, et celle de deux aimans l'un sur l'autre. Lus à l'Academie royale des Sciences. (Extrait des Annales de Chimie et de Physique, 15).
Paris:
l'Academie royale des Sciences,
[1820].
First edition, offprint issue.
The rare separate printing of the founding paper of electrodynamics (Dibner 62, Norman 43, Sparrow 8). Ampère first heard of Ørsted's discovery of electromagnetism on the 4th of September when Arago announced Ørsted's results to the Paris Academy of Sciences. In Ørsted's experiment a current-carrying wire is held over, and...
[Item #2226]
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BABBAGE, Charles.
On a Method of Expressing by Signs the Action of Machinery.
London:
1826.
First edition in journal form.
A very fine copy of “Babbage's first publication of his system of mechanical notation that enabled him to describe the logic and operation of his machines on paper as they would be fabricated in metal.” (Hook & Norman).
[Item #2624]
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BABBAGE, Charles. & LOVELACE, Ada.
Sketch of the Analytical Engine invented by Charles Babbage [by L.F. Menabrea, translated, and appended with additional notes, by Augusta Ada, Countess of Lovelace].
London:
Richard & John Taylor,
1843.
First edition of “the most important paper in the in the history of digital computing before modern times” (Allan George Bromley). In 1840 Babbage traveled to Torino to present to a group of Italian scientists an account of his Analytical Engine. Babbage’s talk, complete with drawings, models and mechanical notations,...
[Item #2367]
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BANACH, Stefan.
Théorie des Opérations Linéaires.
Warsaw:
Zu Subwencji Funduszu Kultury Narodowej,
1932.
First edition.
"With the appearance in 1932 of [von Neumann's] 'Mathematische Grundlagen der Quantenmechanik' and Banach's 'Théorie des opérations linéaires', functional analysis was established as one of the most important fields of modern analysis, as an independent mathematical discipline." (Grattan-Guiness: Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences, p.384)...
[Item #2273]
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BECQUEREL, Antoine Henri.
Recherches sur une propriété nouvelle de la matière. Activité spontanée ou radioactivité de la matière.
Paris:
Firmin-Didot,
1903.
First edition.
A fine copy, uncut and unopened, of Becquerel’s landmark treatise on radioactivity (PMM 393; Dibner 163; Norman 158).
[Item #2665]
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BERNOULLI, Daniel. & EULER, Leonhard.
Dijudicatio maxime probabilis plurium observationum discrepantium atque verisimillima inductio inde formanda & Observationes in praecedentem dissertationem illustris Bernoulli.
St. Petersburg:
Typis Academiae Scientiarum,
1777/1778.
First edition.
An exceptionally fine copy of Bernoulli's famous paper on the method of maximum likelihood, together with Euler’s important commentary to it. “In 1778 Bernoulli published a paper on error theory and estimation entitled ‘The most probable choice between several discrepant observations and the formation therefrom of the most likely induction.’...
[Item #2321]
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BLACK Fischer. & Myron Scholes. [and] Robert Merton.
The Pricing of Options and Corporate Liabilities. [and] The Theory of Rational Option Pricing.
Chicago, Lancaster:
Chicago University of Chicago, American Telephone and Telegraph Company,
1973.
First editions.
The Black–Scholes model is a mathematical description of financial markets and derivative investment instruments. The model develops partial differential equations whose solution, the Black–Scholes formula, is widely used in the pricing of European-style options. The model was first articulated by Fischer Black and Myron Scholes in their 1973 paper, 'The...
[Item #2154]
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BOHR, Niels Henrik David.
On the Constitution of Atoms and Molecules, I-III.
London:
Taylor & Francis,
1913.
First editions, author’s presentation offprints, inscribed.
Rare inscribed presentation offprints of the ‘birth of modern atomic physics’.
[Item #2673]
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BOHR, Niels Henrik David.
On the Quantum Theory of Line-Spectra, I-III.
Copenhagen:
Bianco Lunos,
1918-1922.
First editions, author's presentation offprints, inscribed.
A fine set of his major work in the scarce presentation-offprint issue; with 'Separate Copy' printed on the front wrappers. The first two parts inscribed by Bohr to Swedish physicists Martin Sjöström. It was in this fundamental paper that Bohr first gave a clear formulation of, and fully utilized, his...
[Item #2090]
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BOHR, Niels.
On the Quantum Theory of Line-Spectra, I-III.
Copenhagen:
Bianco Lunos,
1918-1922.
First editions, author's presentation offprints, inscribed.
A fine complete set of his major work in the scarce presentation-offprint issue; with ‘Separate Copy’ printed on the front wrappers. The first two parts inscribed by Bohr to physicist Axel Waldbuhm Marke (1883-1942). It was in this fundamental paper that Bohr first gave a clear formulation of, and fully utilized,...
[Item #2714]
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BOLYAI, János.
Appendix. Scientiam Spatii Absolute Veram exhibens: a veritate aut falsitate Axiomatis XI Euclidei (a priori haud unquam decidenda) independentem: adjecta as casum falsitatis, quadratura circuli geometrica. [in:] BOLYAI, Farkas. Tentamen Juventutem Studiosam in Elementa Matheseos Ourae … Tomus primus [-secundus]. Maros Vasarhelyini: J. & S. Kali, 1832-33.
FIRST EDITION of ‘the most extraordinary two dozen pages in the history of thought’ (Halsted) and one of the few absolute rarities in the history of science. This work contains the independent foundation (along with Lobachevsky) of non-Euclidean geometry. Lobachevsky and János Bolyai had independently created non-Euclidean systems by challenging...
[Item #2329]
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BOOLE, George.
An Investigation of the Laws of Thought, on which are founded the Mathematical Theories of Logic and Probabilities.
London, and Cambridge:
Walton and Maberly; Macmillan & Co.,
1854.
First edition, first issue.
A beautiful and unrestored copy of the rare first issue. In this main work of Boole's he gave the first proper presentation of Boolean algebra - "Boole invented the first practical system of logic in algebraic form, which enabled more advances in logic to be made in the decades of...
[Item #2256]
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BORELLI, Giovanni Alfonso.
Euclides restitutus, sive, Prisca geometriae elementa brevuis, & facilius contexta, in quibus precipue proportionum theoriae nova, firmiorique methodo promuntur.
Pisa:
Francesco Onofri,
1658.
First edition of Borelli’s examination of the foundations of Euclidean geometry and his attempt to ‘restore’ Euclid to a logical and coherent system based upon fundamental principles. It is also notable for containing a detailed discussion, and 'proof', of the parallel postulate, and therefore occupies a significant place in the...
[Item #2369]
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BRANCA, Giovanni.
Le machine. Volume nuovo et di molto artificio da fare effetti maravigliosi tanto spiritali quanto di Animale Operatione.
Rome:
Jacomo Manuci for Jacomo Mascardi,
1629.
First edition.
A fine copy, uncut and unpressed in contemporary binding from the Riccati family library in Padua. Dibner 175; Norman 333; Horblit 172. “Branca’s treatise on machinery contains the first published representation of an action-powered steam turbine, a device first described by Leonardo in the Codex Hammer; Leonardo’s description, however, remained...
[Item #2795]
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BRIGGS, Henry.
Arithmetica logarithmica sive logarithmorum chiliades trigita, pro numeris naturali serie crescentibus ab unitate ad 20,000: et a 90,000 ad 100,000. ...
London:
William Jones,
1624.
First edition.
The first extensive tables of base-ten logarithms. Soon after its publication, Briggs learnt of Napier’s Logarithmorum canonis descriptio (1614), and from that point he devoted his studies entirely to logarithms. One of Briggs’s achievements was to change the logarithms of Napier into a form in which the logarithm of 1...
[Item #2220]
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BROCARD, Pierre René Jean-Baptiste Henri.
Notes Bibliographie des Courbes géométriques, I-II [all published].
Bar-le-Duc:
Comte-Jacquet,
1897-1899.
First edition.
“Brocard’s most extensive publication was a large, two-part work entitled Notes de bibliographie des courbes géométriques” (D.S.B. II: 479). “Probably no more than about fifty copies of this work were prepared, and it has become exceedingly rare and valuable. It was lithographed in the printscript of the author, and it...
[Item #2325]
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CABEO, Niccolo.
Philosophia Magnetica
Ferrara:
Francesco Suzzi,
1629.
First edition.
"Perhaps the most significant discovery of the century following Gilbert was that of electrical repulsion. This effect seems first to have been noticed incidentally by Cabeus, who, in his Philosophia Magnetica (1629), describes how filings attracted by excited amber sometimes recoiled to a distance of several inches after making contact."-Wolf,...
[Item #2717]
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CARNOT, Lazare Nicolas Marguerite.
Géométrie de Position.
Paris:
Duprat,
1803.
First edition.
A fine copy in contemporary binding of Carnot's main work in mathematics. "In 'Géométrie de Position' Carnot developed what he had first intended as a somewhat fuller edition of the 'Corrélation des figures' (1801) into a vastly more extensive exploration of the problem-solving reaches of geometry" (DSB). "Monge and his...
[Item #1931]
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CATENA, Pietro.
Super loca Mathematica contenta in Topicis & Elenchis Aristotelis nunc & non antea, in lucem edita.
Venice:
Apud Cominum de Tridinum Montisferrati,
1561.
First edition.
"Catena [1501-1571] is historically important as one of the first authors in the 16th century to deal with the problem of a formal and epistemological validation of Euclidean mathematics, naturally proceeding from the viewpoint of Aristotelian logic and philosophy, and treating authoritatively the quaestio de certitudine mathematicarum, which, in the...
[Item #2268]
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CAUCHY, Augustin-Louis.
Exercices d'Analyse et de Physique Mathematique. I-IV [all published].
Paris:
Bachelier,
1840-47.
First edition.
Very rare complete set of the second Paris series of Cauchy’s Exercices, containing most of his research in the period 1840-1853 (see below), in a wide variety of fields including the theory of differential equations, the wave theory of light, complex function theory, and group theory. All the works contained...
[Item #2705]
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CAVALIERI, Bonaventura.
Exercitationes geometricae sex. I. De priori methodo indiuisibilium. II. De posteriori methodo indiuisibilium. III. In Paulum Guldinum è Societate Iesu dicta indiuisibilia oppugnantem. IV. De vsu eorumdem ind. in potestatibus cossicis. V. De vsu dictorum ind. in vnif. diffor. grauibus. VI. De quibusdam propositionibus miscellaneis, quarum synopsim versa pagina ostendit.
Bologna:
Giacomo Monti,
1647.
Very rare first edition of Cavalieri's second work on integration methods, a sequel to and elaboration of his Geometria indivisibilibus (1635), one of the most important forerunners of the integral calculus. The method of indivisibles was used by Galileo, Pascal, Cavalieri's pupil Torricelli, Wallis and others. The present work contains...
[Item #2584]
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CHADWICK, James; FEATHER, Norman; DEE, Philip Ivor.
The Existence of a Neutron; The Collisions of Neutrons with Nitrogen Nuclei; Attempts to Detect the Interaction of Neutrons with Electrons.
London:
Harrison and Sons,
1932.
First edition, offprint issue.
The very rare offprint (no copies located by WorldCat) of the three papers which proved the existence of the neutron. The discovery of this sub-atomic particle with no electrical charge that could penetrate and split the nucleus of an atom was the key element in nuclear fission and the atomic...
[Item #2333]
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CLAVIUS, Christoph.
Romani Calendarii a Gregorio XIII. P.M. restituiti explicatio, Clementis VIII P.M. jussu edita. Accessit confutatio eorum, qui Calendario aliter instaurandum contenderunt.
Rome:
A. Zannettus,
1603.
First edition.
A magnificent copy, of the of the foundation work on the Gregorian calendar, bound in contemporary red morocco by the Soresini workshop for the dedicee Pope Clement VIII (1536-1605), lavishly gilt with his papal coat of arms to the front and back board. “Sometime between 1572 and 1575, Pope Gregory...
[Item #2722]
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COULOMB, Charles Augustin.
Mémoires sur l’Électricité et le Magnétisme, extraits des Mémoires de l'Académie Royale des Sciences de Paris, publiés dans années 1785 à 1789, avec planches et tableaux.
Paris:
Bachelier,
1785-89.
First edition.
The “extremely rare complete series of offprints” (Norman sale) of “the inauguration of mensuration in electricity” (Grolier/Horblit). “His most famous memoires” (DSB), in which “Coulomb described his invention of the torsion balance. ... Coulomb determined from the relationship of the torsion and quantity of electric charge that attraction and repulsion followed the law of...
[Item #2346]
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DE MOIVRE, Abraham.
The Doctrine of Chances: Or, A Mehtod of Calculating the Probabilities of Events in Play. The Second Edition, Fuller, Clearer, and more Correct than the First.
London:
H. Woodfall,
1738.
The important second edition, as it contains De Moivre's main contribution to the field, i.e., the normal distribution, which "became the most fruitful single instrument of discovery used in probability theory and statistics for the next two centuries." (DSB, IX: 452-453). De Moivre's result was first published in a privately...
[Item #2253]
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DE MORGAN, Augustus.
An Essay on Probabilities, and on Their Application to Life Contingencies and Insurance Offices.
London:
Longman, Orme, Brown, Green & Longmans ... and John Taylor. ,
1838.
First edition.
His major work on the applications of probability theory - "the first [English] work of importance" since the publication of de Moivre's 'The Doctrine of Chances' (Arne Fisher).
[Item #1914]
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DE MORGAN, Augustus.
Formal Logic: or, The Calculus of Inference, Necessary and Probable.
London:
Taylor Waltson,
1847.
First edition, first printing.
Presentation copy, to Sir John Herschel, of “one of the first works attempting to place logic on a mathematical basis.” (Sotheran’s). A fine copy in original publisher’s cloth inscribed to one of the founders of the Analytical Society.
[Item #2656]
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DESCARTES, René.
Discours de la methode pour bien conduire sa raison, & chercher la verité dans les sciences. Plus la Dioptrique, les Meteores, et la Geometrie. Qui sont des essais de cete Methode.
Leiden:
Jan Maire,
1637.
First edition.
A fine copy of his most celebrated work (PMM 129; Grolier/Horblit 24). "It is no exaggeration to say that Descartes was the first of modern philosphers and one of the first modern scientists; in both branches of learning his influence has been vast. ... The revolution he caused can be...
[Item #2267]
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"Theory of the Opalescence of Homogeneous Fluids and Fluid Mixtures near the Critical State"
EINSTEIN, Albert.
Theorie der Opaleszenz von homogenen Flüssigkeiten und Flüssigkeitsgemischen in der Nähe des kritischen Zustandes.
Leipzig:
Johann Ambrosius Barth,
1910.
First edition, author's presentation offprint issue.
Scarce offprint issue, with 'Überricht vom Verfasser' printed on front wrapper, of his major paper in which he explained the phenomenon of critical opalescence. "This long and important investigation of Einstein is one of the most difficult of all his papers ... The aim of the paper is to complement...
[Item #2063]
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EINSTEIN, Albert.
Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen.
Leipzig:
Johann Ambrosius Barth,
1905.
First edition, author's presentation offprint issue.
An exceptional copy of one of his most important papers, in the extremely rare presentation offprint, and from the library of his son Hans Albert Einstein. In 1905, his ‘annus marabilis’, Einstein published three remarkable papers in the Annalen der Physik, "one on Brownian motion [ibid], one on special relativity...
[Item #2269]
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"Theory of Brownian Motion"
EINSTEIN, Albert.
Zur Theorie der Brownschen Bewegung.
Leipzig:
Johann Ambrosius Barth,
1906.
First edition, author's presentation offprint issue.
Scarce offprint issue, with 'Überricht vom Verfasser' printed on front wrapper. Einstein's second paper in his series of papers on Brownian motion, and the first of his papers on the subject to include the term 'Brownian motion' in the title. When Einstein published his first paper on Brownian motion, in...
[Item #2020]
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EULER, Leonhard.
Scientia Navalis seu Tractatus de Construendis ac Dirigendis Navibus.
St. Petersburg:
Typis Academiae Scientiarum,
1749.
First edition.
A fine copy, in contemporary binding, of Euler's first large work on fluid mechanics. "With this work Euler made a major contribution to the study of fluid mechanics. In the first volume he presents a general theory of equilibrium of floating bodies with an original theory of stability and small...
[Item #1910]
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EULER, Leonhard.
Tentamen Novae Theoriae Musicae Ex Certissimis Harmoniae Principiis Dilucide Expositae.
St. Petersburg:
ex Typographia Academiae Scientiarum,
1739.
First edition.
A fine copy, untouched in the original boards, of his only published work on acoustics.“Euler contributed more to theoretical acoustics than has any other man ... Acoustics was one of his favorite subjects. His notebooks show that as a boy of 19 he planned to write a treatise on all...
[Item #2762]
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EULER, Leonhard.
Theoria Motus Lunae Exhibens Omnes Eius Inaequalitates. In additamento hoc idem Argumentum aliter Tractatur simulque ostenditur quemadmodum Motus Lunae cum Omnibus inaequalitatibus Innumeris aliis Modis repraesentairi atque ad Calculum revocaripossit.
St. Petersburg:
Academiae Imperialis Scientiarum,
1753.
Very rare first edition of Euler’s ‘first lunar theory’, the theoretical basis for Tobias Mayer’s lunar tables that won the British Parliament prize for the longitude problem (see below). “Based on Newton’s universal law of gravitation, Euler first developed his first lunar theory with the aid of his method of...
[Item #2711]
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EULER, Leonhard.
Vollständige Anleitung zur Algebra.
St. Petersburg:
Kaiserliche Academie der Wissenschaften,
1770.
First edition of Euler's great textbook of algebra in its language of composition, preceded only by an extremely rare Russian translation published in 1768-9 by two of his students. “Euler’s Vollständige Anleitung zur Algebra is not only the most popular textbook on elementary algebra, with the exception of Euclid’s Elements...
[Item #2710]
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First Detailed Account of Their Experiments
FERMI, Enrico.; O. D'Agostino; F. Rasetti; E. Segrè.
Artificial Radioactivity Produced by Neutron Bombardment.
London:
Harrison & Sons,
1934.
First edition.
The first comprehensive report of the ground breaking experiments made by Fermi and his team in Rome on neutron bombardment of Uranium. This paper "was delivered personally to Rutherford by Amaldi and Segrè during their summer visit to Cambridge in 1934. Rutherford, in turn, wrote Fermi, congratulating him on his...
[Item #2060]
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FEYNMAN, Richard.
Space-Time Approach to Non-Relativistic Quantum Mechanics.
Lancaster:
American Physical Society,
1948.
First edition.
First printing of Feynman’s path-integral formalism; the basis for his later famous ‘Feynman diagrams’. “At Cornell, Feynman perfected his approach to quantum theory, melding several of his prewar insights with the more pragmatic, numbers-driven approach he had honed during the war. One of his first tasks was to publish a...
[Item #2386]
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GÖDEL, Kurt.
The Consistency of the Axiom of Choice and the Generalized Continuum-Hypothesis. [with:] Consistency-Proof for the Generalized Continuum-Hypothesis.
Washington:
National Academy of Sciences,
1938-39.
First edition, offprint issues.
“Aside from the completeness and incompleteness theorems, Gödel’s consistency proofs in set theory are his most celebrated results.” (Dawson). In this work he proved that if an axiomatic system of set theory of the type proposed by Russell and Whitehead in the Principia Mathematica is consistent, then it will remain so when the...
[Item #2366]
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GÖDEL, Kurt.
Diskussion zur Grundlegung der Mathematik.
Leipzig:
Felix Meiner,
1930/1931.
First edition.
First printing of the famous Königsberg “conference in September 1930 [where] Gödel announced his startling first incompleteness theorem: there are formally undecidable propositions in number theory. He sent a paper on his incompleteness results to Monatshefte für Mathematik und Physik in November 1930; it was published two months later [Über...
[Item #2358]
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GÖDEL, Kurt.
Ergebnisse eines mathematischen Kolloquiums, unter Mitwirkung von Kurt Gödel und Georg Nöbeling. Herausgegeben von Karl Menger. Heft 1-5.
Leipzig & Berlin:
B.G. Teubner,
1931-1933.
All first editions.
An absolutely mint set, in the original wrappers, of these rare proceedings to which Gödel contributed thirteen important papers and remarks on the foundations of logic and mathematics. “By invitation, in October 1929 Gödel began attending Menger’s mathematics colloquium, which was modeled on the Vienna Circle. There in May 1930...
[Item #2336]
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GAUSS, Carl Friedrich
Disquisitiones Arithmeticae.
Leipzig:
Gerh. Fleischer,
1801.
First edition, first issue.
A very fine, uncut, and unusually clean, copy of Gauss’ masterpiece which created a new epoch in the history of mathematics. “Gauss ranks, together with Archimedes and Newton, as one of the greatest geniuses in the history of mathematics” (Printing and the Mind of Man). PMM 257; Evans 11; Horblit 38; Dibner 114.
[Item #2748]
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GAUSS, Carl Friedrich.
Theoria Motus Corporum Coelestium in Sectionibus Conicis Solem Ambientium.
Hamburg:
Frid. Perthes & I.H. Besser,
1809.
First edition.
A fine copy of his masterly investigation of the mathematics of planetary orbits “in which Gauss systematically developed his methods of orbit calculation, including the theory and use of least squares.” Together with his ‘Disquisitiones’ this work “established his reputation as a mathematical and scientific genius of the first order.”...
[Item #2707]
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GELLIBRAND, Henry.
A Discourse Mathematical on the Variation of the Magneticall Needle. Together with its admirable Diminution lately discovered.
London:
William Jones,
1635.
Extremely rare first edition of Gellibrand’s most important discovery: the secular change in magnetic declination, or variation. This copy, formerly in the collection of Harrison D. Horblit, is among just three copies having been auctioned the past 50 years – the other two being the Kenney copy and the Streeter...
[Item #2755]
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GIBBS, Josiah Willard.
On the Equilibrium of Heterogeneous Substances.
New Haven:
Tuttle, Morehaouse & Taylor,
1874-78.
First edition, presentation offprints.
An exceptional set of the extremely rare offprints of the foundation work of on chemical thermodynamics, inscribed by Gibbs to Wilhelm Weber (inventor of the first electromagnetic telegraph). This set, significantly superior to the Norman and Horblit copies, is apparently among only three copies to have appeared on the market...
[Item #2465]
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HARRISON, John, [and Nevil MASKELYNE.]
The Principles of Mr. Harrison’s Time-Keeper, with plates of the same. Published by Order of the Commissioners of Longitude.
London:
W. Richardson and S. Clarke,
1767.
First edition.
[Item #2636]
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HEISENBERG, Werner.
Über quantentheoretische Umdeutung kinematischer und mechanischer Beziehungen.
Berlin:
Julius Springer,
1925.
First edition.
An excellent copy, in the original wrappers, of the first paper on quantum mechanics. “A severe attack of hay fever in early June forced Heisenberg’s retreat to the island of Helgoland. There he completed the calculation of the anharmonic oscillator, determined the constants of motion, and obtained from his multiplication...
[Item #2327]
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HERTZ, Heinrich Rudolf
Ueber sehr schnelle electrische Schwingungen. [With five other offprints by Hertz on electromagnetic waves, of which one is inscribed by Hertz].
Leipzig:
Metzger & Wittig,
1887.
First edition, offprint issue.
Extremely rare offprint of "the birth of radio communication" (Evans). Dibner 71; Evans 45; Norman 1060; Honeyman 1667 (ordinary journal issue); PMM 377 (later collected edition). "These early papers on radio communication were also issued as offprints, but in very small numbers. Demand was so high, however, that Hertz published...
[Item #2709]
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HERTZ, Heinrich Rudolf.
Untersuchungen über die Ausbreitung der Elektrischen Kraft.
Leipzig:
Johann Ambrosius Barth,
1892.
A fine copy of the first collected edition of Hertz’ important series of papers on electromagnetic waves in which he “demonstrated what Maxwell had predicted, that electromagnetic waves radiated in space with the speed of light. Hertz determined these waves to be of greater length than light and that they...
[Item #2427]
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| 51. |
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His Famous ‘Zahlbericht’
HILBERT, David.
Die Theorie der algebraischen Zahlkörper.
Berlin:
Georg Reimer,
1897.
First edition.
A fine copy of this masterpiece from the library of mathematician Georg Bohlmann, 1869-1928 (see below for more on Bohlmann and his influence on Hilbert's work). Landmark Writings in Western Mathematics, No. 54. Erwin Tomash Library, H-131. "There is no field of mathematics which by its beauty has attracted the...
[Item #2228]
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| 52. |
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HILBERT, David.
Neubegründung der Mathematik: Erste Mitteilung [all published]
Hamburg:
Verlag des Mathematischen Seminars,
1922.
First edition, author's presentation offprint issue.
Extremely rare offprint of the work which sets out ‘Hilbert’s programme’ to provide a foundation for all of mathematics based on axiomatics and logic. Hilbert's work on the foundations of mathematics has its roots in his work on geometry of the 1890s, culminating in his influential Grundlagen der Geometrie (1899). Hilbert...
[Item #2399]
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| 53. |
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HILBERT, David.
Probleme der Grundlegung der Mathematik.
Berlin:
Julius Springer,
1929.
First edition, offprint issue.
"In 1928 the first International Congress of Mathematicians since 1912 was held in Italy. Hilbert, the leader of the German delegation, spoke on the fundamentals of mathematics, a topic to which he had devoted a great deal of thought and effort over the years. Unlike several of his younger colleagues,...
[Item #2272]
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| 54. |
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HILBERT, David.
Ueber die Theorie der algebraischen Formen.
Leipzig:
Teubner,
1890.
First edition.
Rare offprint, from the library of Eduard Study, of the paper in which he first proved his famous theorem on invariants - "the foundation stone of the general theory of algebraic manifolds." (Hermann Weyl). "Hilbert's thesis [1885] was on the theory of invariants. His two proofs of Gordan's Problem established...
[Item #2274]
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| 55. |
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HODGKIN, Dorothy Crowfoot; [and others].
The structure of vitamin B-12, Part I-VI.
London:
Royal Society,
1957-1964.
All first editions.
A fine set of the papers giving the first detailed description of the structure of vitamin B12. "Hodgkin pioneered the use of x-ray diffraction techniques to solve the structures of complex organic molecules such as steroids, antibiotics, and proteins. Most notably, her determination of the structure of vitamin B12 in...
[Item #1913]
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| 56. |
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L'HÔSPITAL, Guillaume François Antoine, Marquis de.
Traité analytique des sections coniques et de leur usage pour la résolution des équations dans les problêmes tant détermines qu'indéterminez.
Paris:
Jean Boudot,
1707.
First edition.
L'Hôspital became famous as a mathematician through his eminent text-books (e.g., Analyse des infiniment petits, 1696 - the first exposition of the differential calculus). "His reputation in that matter does not rest alone on the Analyse but to an almost equal extent on his analytic study of the conic sections...
[Item #2194]
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| 57. |
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LAMARCK, Jean-Baptiste
Philosophie Zoologique, ou exposition des considérations relatives à l'histoire naturelle des animaux, à la diversité de leur organisation et des facultés qu'ils en obtiennent ; aux causes physiques qui maintiennent en eux la vie et donnent lieu aux mouvemens qu'ils exécutent ; enfin, à celles qui produisent, les unes le sentiment, et les autres l'intelligence de ceux qui en sont doués
Paris:
l'Imprimerie de Duminil-Lesueur for Dentu and the author,
1809.
First edition.
[Item #2746]
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| 58. |
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LAMB, Willis. & Robert Retherford.
Fine Structure of the Hydrogen Atom by a Microwave Method [and] Fine Structure of the Hydrogen Atom, Part I-VI [all published].
Lancaster:
American Physical Society,
1947-53.
First editions, offprint issues.
Exceptional collection of these classic papers; the work for which Lamb received the Nobel Prize - seven offprints from the library of Abraham Pais. "In 1947, Lamb and Retherford performed an experiment on hydrogen atoms demonstrating a deviation from Dirac's relativistic theory of the electron of 1928. ... The measurements...
[Item #2143]
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| 59. |
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LAMBERT, Johann Heinrich.
Photometria sive de mensura et gradibus luminis, colorum et umbrae.
Augsburg:
Christoph Peter Detleffsen for the widow of Eberhard Klett,
1760.
First edition.
A fine copy of this rarity in which Lambert laid the foundation for the exact measurement of light (PMM 205; Grolier/Horblit 62; Norman 1269). Lambert's discoveries "are of fundamental importance in astronomy, photography and visual research generally ... Both Kepler and Huygens had investigated the intensity of light, and the...
[Item #2266]
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| 60. |
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The Lee-Yang Theorem
LEE, Tsung-Dao. & Chen-Ning Franklin Yang.
Question of Parity Conservation in Weak Interactions.
Lancaster:
American Physical Society,
1956.
First edition.
Chen Ning Yang and Tsung-Dao Lee were awarded the 1957 Nobel Prize for their work "for their penetrating investigation of the so-called parity laws which has led to important discoveries regarding the elementary particles". The work of Yang and Lee came to destroy the "law of conservation of parity," which...
[Item #1973]
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| 61. |
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LEGENDRE, Adrien Marie.
Essai sur la Théorie des Nombres.
Paris:
Duprat,
1798.
First edition.
A fine copy of the first book entirely dedicated to number theory. Contains Legendre’s principal contribution to number theory, an improved exposition of his law of reciprocity of quadratic residues. “The ‘Essai’ also introduced the symbol (a/p), still used to express the law of reciprocity; and gave an outline of...
[Item #1909]
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| 62. |
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LEIBNIZ, Gottfried Wilhelm.
Explication de l'arithmétique binaire, qui se sert des seuls caractères 0 et 1 avec des remarques sur son utilité et sur ce qu'elle donne le sens des anciennes figures chinoises de Fohy.
Paris:
Jean Boudot,
1703/1705.
First edition.
First appearance of his famous paper on binary arithmetic (Norman: From Cave Paintings to the Internet, 1679:) “A dated manuscript by Gottfried Wilhelm Leibniz, preserved in the Niedersachsische Landesbibliothek, Hannover, ‘includes a brief discussion of the possibility of designing a mechanical binary calculator which would use moving balls to represent...
[Item #2349]
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| 63. |
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LEIBNIZ, Gottfried Wilhelm.
Nova methodus pro maximis et minimis, itemque tangentibus, quae nec fractas nec irrationales quantitates moratur, et singulare pro illis calculi genus.
Leipzig:
Christopher Günther,
1684.
First edition.
A beautiful copy of the “Discovery of the differential calculus” (Grolier/Horblit) “which forms the basis of modern pure and applied mathematics (Sparrow). “The infinitesimal calculus originated in the 17th century with the researches of Kepler, Cavalieri, Torricelli, Fermat and Barrow, but the two independent inventors of the subject, as we...
[Item #2368]
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| 64. |
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LORENTZ, Hendrik Antoon.
La théorie électromagnétique de Maxwell et son application aux corps mouvants.
Haarlem:
Les Héritiers Loosjes,
1892.
First edition.
A fine copy, unopened in original wrappers, of the first exposition by Lorentz of his electron theory of matter (PMM 378a), the mathematical foundation for Einstein’s special theory of relativity. Max Born referred to this particular paper as one of the “most beautiful examples of the might of mathematical analysis...
[Item #2365]
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| 65. |
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Rare offprint of his most famous paper
MANDELBROT, Benoît
How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension
Washington:
AAAS,
1967.
First edition, offprint issue.
From: Science, Vol. 156, No. 3775, pp. 636-638, May 5, 1967. Former owners rubberstamp on front wrapper. In very fine condition.
[Item #1925]
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| 66. |
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MAUROLICO, Francesco.
Theoremata de Lumine, et Umbra, ad perspectivam, & radiorum incidentiam facientia.
Lyon:
B. Vincent,
1613.
Second edition.
A beautiful large copy in contemporary binding. Second edition, rare, of Maurolyco’s most important work, “the best optical book of the Renaissance” (Sarton), which anticipated Kepler in a number of respects. It was first published by Clavius in Naples in 1611 under the title Photismi de Lumine. Both editions are...
[Item #2215]
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| 67. |
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MEITNER, Lise; Otto Frisch; Niels Bohr; Hans von Halban, Frédéric Joliot, Lew Kowarski.
1. Meitner & Frisch: Disintegration of Uranium by Neutrons, a New Type of Nuclear Reaction [PMM 422b]; 2. Frisch: Physical Evidence for the Division of Heavy Nuclei under Neitron Bombardment [PMM 422c]; 3. Bohr: Disintegration of Heavy Nuclei; 4. Halban, Joliot, Kowarski: Liberation of Neutrons in the Nuclear Explosion of Uranium [PMM 422d]; 5. Meitner: Products of the Fission of the Uranium Nucleus; 6. Meitner: New Products of the Fission of the Thorium Nucleus; 7. Halban, Joliot, Kowarski: Number of Neutrons Liberated in the Nuclear Fission of Uranium; 8. Frisch: Statistical Calculation of Composite Decay Curves.
London:
Macmillan,
1939.
All first editions.
Eight seminal papers on nuclear fission - PMM 422b,c,d. "Experiments conducted in 1938 at Berlin by Hahn and Strassman were reported to Lise Meitner, an Austrian scientist who had fled to Copenhagen to escape religious persecution. She and her nephew, O.R. Frisch, working in Niels Bohr's laboratory, found the true...
[Item #2159]
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| 68. |
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The Most Original Pupil of Bonaventura Cavalieri
MENGOLI, Pietro.
Geometriae Speciose Elementa.
Bologna:
Giovanni Battista Ferroni,
1659.
Very rare first edition, and a fine copy from the library of Pietro Riccardi, of this important work on limits of geometrical figures. In this work Mengoli “set up the basic rules of the calculus thirty years before Newton and Leibniz. Both of these were influenced by his contribution, in...
[Item #2689]
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| 69. |
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MICHELSON, Albert Abraham. & MORLEY, Edward Williams.
On the Relative Motion of the Earth and the Luminiferous Ether.
New Haven:
J.D. & E.S. Dana,
Nov. 1887.
First edition, offprint issue.
Extremely rare offprint (no copies listed in OCLC) of the true first appearance of the Michelson-Morley experiment; one of the most famous and important experiments in the history of physics - the result of which “held revolutionary implications which led directly through Lorentz and Einstein to the acceptance of new...
[Item #2318]
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| 70. |
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[MONTMORT, Pierre Rémond de]
Essay d'Analyse sur les Jeux de Hazard.
Paris:
J. Quilau,
1708.
Rare first edition, and a fine copy, of one of the most important landmark works on probability theory of the eighteenth century. Based on the problem’s set forth by Huygens in his famous treatise De Ratiociniis in Ludo Aleae (1657), it spawned the publication of De Moivre’s two important works...
[Item #2704]
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| 71. |
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MORSE, Philip M. & George E. Kimball.
Methods of Operations Research. OEG Report No. 54.
Washington DC:
National Defence Reasearch Commitee,
1946.
First edition.
The rare classified printing of the ‘bible’ of operations research (OR). The unclassified version of this text, published in 1951, brought this new science, of management and decision-making, out from the shadows of the secret developments of World War II. “Morse and Kimball’s ‘Methods of Operations Research’ was first published...
[Item #2290]
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| 72. |
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Collection of the four papers for which Nash received the Nobel Prize
NASH, John Forbes
1. Equilibrium Points in N-Person Games; 2. The Bargaining Problem; 3. Non-Cooperative Games; 4. Two-Person Cooperative Games
Easton; Chicago; Princeton:
Mack Printing; Econometric Society; Princeton University,
1950-1953.
All first editions.
8vo. Four seperate journal issues: 1. "Equilibrium Points in N-Person Games" in: Proceedings of the National Academy of Sciences, pp.48-49, volume 36, number 1, January 1950. The entire issue (pp.1-65) in original printed wrappers. Back srtip renewed, rubber stamp to front wrapper, otherwise fine. 2. "The Bargaining Problem" in: Econometrica, pp.155-162, volume...
[Item #1928]
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| 73. |
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NEWTON, Isaac.
Philosophia Naturalis Principia Mathematica. Editio Secunda Auctior et Emendator.
Cambridge:
University Press,
1713.
An exceptional presentation copy of the important second edition (which contains the first appearance of Newton’s ‘Scholium Generale’ - one of his most famous writings), inscribed by Newton’s collaborator Roger Cotes, and given to Henry de Grey, Duke of Kent, who’s two sons Cotes was a tutor for. “In 1709...
[Item #2350]
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| 74. |
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RIEMANN, Bernhard.
Ueber die Hypothesen, welche der Geometrie zu Grunde liegen. + (6 other papers on the foundtion of geometry).
Göttingen:
Dieterichschen Buchhandlung,
1867.
First edition.
First publication of Riemann's famous Habilitationsvortrag held in 1854 (in secondary literature, it is often misidentified as his Habilitationsschrift, but that was concerned with Fourier series and was delivered the year before). Riemann begins his lecture with a remark about a certain darkness that lies at the foundation of geometry...
[Item #2617]
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| 75. |
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RUSSELL, Bertrand; WHITEHEAD, Alfred North.
Principia Mathematica. I-III.
Cambridge:
Cambridge University Press,
1925-27.
Second edition, first printing.
The important, and fundamentally changed, second edition of one of the most celebrated works in the history of logic. Considered by the DNB to be “the greatest single contribution to logic that has appeared in two thousand years since Aristotle”. In the second edition Russell “proposed radical changes to the...
[Item #2659]
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| 76. |
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SAMUELSON, Paul Anthony.
The Le Chatelier Principle in Linear Programming.
Santa Monica:
RAND Corporation,
1949.
First edition.
The author’s own copy of this rare and important research paper, in which Samuelson first introduced the Le Châtelier principle into the field of linear programming. Paul Anthony Samuelson (1915-2009), the first American to receive the Nobel Prize in Economics, has often been called “the father of modern economics” due...
[Item #2289]
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| 77. |
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SHANNON, Claude Elwood.
A Mathematical Theory of Communication.
New York:
American Telephone and Telegraph Company,
1948.
First edition.
A fine and unmarked set in the original printed wrappers. Based on research begun during World War II, "Shannon developed a general theory of communication that would treat of the transmission of of any sort of information from one point to another in space or time. His aim was to...
[Item #2021]
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| 78. |
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TORRICELLI, Evangelista.
Lezioni Accademiche.
Firenze:
Stamperia di S.A.R., per J. Giuducci e S. Franchi,
1715.
First edition.
A very fine and fresh copy, with the engraved portrait (which is present in only a small number of copies), of Torricelli’s twelve lectures delivered to the Accademia della Crusca, the Studio Fiorentino, and the Academy of Drawing. “His mathematical, optical, mechanical and hydraulic contributions were many; all cut short...
[Item #2721]
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| 79. |
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VON NEUMANN, John. & Oskar Morgenstern.
Theory of Games and Economic Behavior.
Princeton:
Princeton University Press,
1944.
First edition, first printing.
A fine copy of the groundbreaking text that created the interdisciplinary research field of game theory. “Quantitative mathematical models for games as poker or bridge at one time appeared impossible, since games like these involve free choices by the players at each move, and each move reacts to moves of...
[Item #2288]
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| 80. |
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Signed by Wilkins, Gosling, Stokes
WATSON, J. & CRICK, F.
Molecular Structure of Nucleic Acids: A Structure for Deoxyribose Nucleic Acid.
St. Albans:
Fisher, Knight & Co.,
1953.
First edition, offprint issue.
The three-paper offprint (Grolier, One Hundred Books Famous in Medicine, No. 99) signed by three of its authors. Watson and Crick’s discovery of the molecular structure of DNA is generally considered the most important medical and biological discovery of the second half of the twentieth century. Watson and Crick’s paper...
[Item #2232]
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| 81. |
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The Standard Work for Several Decades
WEBER, Heinrich Martin.
Lehrbuch der Algebra, I-II [all published].
Braunschweig:
Friedrich Vieweg und Sohn,
1895-1896.
First edition.
A fine set bound in two contemporary half calfs with gilt spine lettering. 8vo: 232x157 mm. XV,(1:blank),653(1:errata); XIV,(2:blank),794,(2:errata) pp. Internally completely clean throughout.
[Item #1983]
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| 82. |
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WINTHROP, John.
Relation of a Voyage from Boston to Newfoundland, for the Observation of the Transit of Venus, June 6, 1761.
Boston, N.E.:
Edes and Gill,
1761.
First edition.
Winthrop is by many considered America's first astronomer, and the expedition which he lead in 1761 to St. John's in order to observe the transit of Venus across the Sun is probably the first purely scientific expedition set out by an American state. "Professor John Winthrop was a scion of...
[Item #1908]
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| 83. |
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WITELO, Jakub.
Peri optikes, id est de natura, ratione, & projectione radiorum visus, luminum, colorum atque formarum, quam vulgo perspectivam vocant, libri X.
Nuremberg:
Johann Petri,
1535.
First edition.
Incomplete copy (missing quire Y) of the earliest comprehensive European work on optics, and the first published work to include descriptions of medieval laboratory instruments. Witelo, Perspectiva, or Opticae libri decem, written ca. 1270 is a massive work that relies extensively on Alhazen as well as other ancient writers on...
[Item #2270]
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![Sketch of the Analytical Engine invented by Charles Babbage [by L.F. Menabrea, translated, and appended with additional notes, by Augusta Ada, Countess of Lovelace].](/pictures/thumb/2367.jpg)
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![Fine Structure of the Hydrogen Atom by a Microwave Method [and] Fine Structure of the Hydrogen Atom, Part I-VI [all published].](/pictures/thumb/2143.jpg)
![1. Meitner & Frisch: Disintegration of Uranium by Neutrons, a New Type of Nuclear Reaction [PMM 422b]; 2. Frisch: Physical Evidence for the Division of Heavy Nuclei under Neitron Bombardment [PMM 422c]; 3. Bohr: Disintegration of Heavy Nuclei; 4. Halban, Joliot, Kowarski: Liberation of Neutrons in the Nuclear Explosion of Uranium [PMM 422d]; 5. Meitner: Products of the Fission of the Uranium Nucleus; 6. Meitner: New Products of the Fission of the Thorium Nucleus; 7. Halban, Joliot, Kowarski: Number of Neutrons Liberated in the Nuclear Fission of Uranium; 8. Frisch: Statistical Calculation of Composite Decay Curves.](/pictures/thumb/2159.jpg)
![Lehrbuch der Algebra, I-II [all published].](/pictures/thumb/1983.jpg)
