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1st Edition. FIRST EDITIONS IN MINT CONDITION AND IN ORIGINAL WRAPS of Abraham Wald's seminal work on sequential tests of statistical hypotheses. Before Wald, the traditional style of statistical decision was to posit a hypothesis, make a predetermined number of measurements, then make a decision whether to accept or reject the hypothesis. Wald realized that this procedure is quite wasteful, and that many measurements could be saved if given the option to decide at every step whether to continue or stop the measurement process. "According to Wald, the resulting ‘sequential probability ratio test frequently results in a savings of about 50 percent in the number of observations over the most efficient test procedure based on a fixed number of observations" (Gass, An Annotated Timeline of Operations Research, 65). In these papers Wald, known now as "the father of sequential analysis and decision theory," first presents the theoretical foundations of the theory of sequential analysis. The ideas he put…
Read More Two Person Cooperative Games WITH The theory of play and integral equations with skew symmetric kernels, On games that involve chance and the skill of players, and On systems of linear skew-symmetric determinant and the genera theory of play in Econometrica 21, January 1953, pp. 128-141 and pp. 97-118 by Nash, John Forbes with Borel, Emile - 1953
by Nash, John Forbes with Borel, Emile
Two Person Cooperative Games WITH The theory of play and integral equations with skew symmetric kernels, On games that involve chance and the skill of players, and On systems of linear skew-symmetric determinant and the genera theory of play in Econometrica 21, January 1953, pp. 128-141 and pp. 97-118
by Nash, John Forbes with Borel, Emile
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Baltimore: Waverley Press, 1953. 1st Edition. FIRST EDITION IN ORIGINAL PAPER WRAPS of John Nash's fourth and final paper seminal contribution to mathematics and non-cooperative game theory.
In his 1950 paper on the subject, "Nash presented a bargaining solution that was completely unanticipated in the literature. Breaking with the past, he used a simple yet path-breaking axiomatic approach and a non-cooperative model of games to derive a bargaining solution between two rational persons. This axiomatic approach aimed to identify the common characteristics of bargaining and its solutions rather than describe the processes involved in bargaining" (Berckert, International Encyclopedia of Economic Sociology, 22).
This 1953 paper by Nash set a new entire research agenda that has been referred to as the Nash Program for cooperative games. In the Nash Program, "although players MAY enter into a binding agreement, they need not. If they choose not to, then there is a non-cooperative game in which each player can, adopting the appropriate mixed strategy, be assured of a certain minimum expected payoff; call this outcome the 'disagreement point.' The original cooperative game can thus be conceived as a bargaining problem in which players seek to improve their situation by moving away from the disagreement point to a new, more desirable point conferring greater utility. Exactly which point is selected depends upon the particular arbitration scheme used. An arbitration scheme can be thought of as a function mapping the set of possible outcomes to a single outcome: the solution offered by the arbitrator.
A cooperative game, then, can be conceived as an extensive form of a non-cooperative game where the early stages of the game involve the selection of the disagreement point and the arbitration scheme. This approach, of reducing cooperative games to non-cooperative games, is known as the "Nash Program" (The Philosophy of Science: An Encyclopedia, Volume 1, 328). In 1994 Nash shared the Nobel Prize in Economics with Reinhard Selten and John Harsanyi "for their pioneering analysis of equilibria in the theory of non-cooperative games" (Nobel Prize Committee).
NOTE: This issue also contains English translations of Emile Borel's three papers on game theory. CONDITION & DETAILS: 4to. 10 X 7 inches (250 x 175mm). Single issue in original wraps in fine condition.
In his 1950 paper on the subject, "Nash presented a bargaining solution that was completely unanticipated in the literature. Breaking with the past, he used a simple yet path-breaking axiomatic approach and a non-cooperative model of games to derive a bargaining solution between two rational persons. This axiomatic approach aimed to identify the common characteristics of bargaining and its solutions rather than describe the processes involved in bargaining" (Berckert, International Encyclopedia of Economic Sociology, 22).
This 1953 paper by Nash set a new entire research agenda that has been referred to as the Nash Program for cooperative games. In the Nash Program, "although players MAY enter into a binding agreement, they need not. If they choose not to, then there is a non-cooperative game in which each player can, adopting the appropriate mixed strategy, be assured of a certain minimum expected payoff; call this outcome the 'disagreement point.' The original cooperative game can thus be conceived as a bargaining problem in which players seek to improve their situation by moving away from the disagreement point to a new, more desirable point conferring greater utility. Exactly which point is selected depends upon the particular arbitration scheme used. An arbitration scheme can be thought of as a function mapping the set of possible outcomes to a single outcome: the solution offered by the arbitrator.
A cooperative game, then, can be conceived as an extensive form of a non-cooperative game where the early stages of the game involve the selection of the disagreement point and the arbitration scheme. This approach, of reducing cooperative games to non-cooperative games, is known as the "Nash Program" (The Philosophy of Science: An Encyclopedia, Volume 1, 328). In 1994 Nash shared the Nobel Prize in Economics with Reinhard Selten and John Harsanyi "for their pioneering analysis of equilibria in the theory of non-cooperative games" (Nobel Prize Committee).
NOTE: This issue also contains English translations of Emile Borel's three papers on game theory. CONDITION & DETAILS: 4to. 10 X 7 inches (250 x 175mm). Single issue in original wraps in fine condition.
- Bookseller Atticus Rare Books (US)
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On Cumulative Sums of Random Variables (Annals of Mathematical Statistics 15 No. 3 pp. 283 - 296, September 1944) and Sequential Tests of Statistical Hypotheses (Annals of Mathematical Statistics 16 No. 2 pp. 117 -186, June 1945)
by Wald, Abraham
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Petri Van Musschenbroek ... Physicae experimentales et geometricae, de magnete, tuborum capillarium vitreorumque speculorum attractione, magnetudine terrae, cohaerentia corporum firmorum dissertationes, ut et ephemerides meteorologicae Ultrajectinae
by MUSSCHENBROEK, Petrus van
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1756 PHYSICS Experiments Dutch Musschenbroek Isaac NEWTON Science MAP CaliforniaPieter van Musschenbroek was an 18th-century Dutch scientist known for his numerous physics experiments. He extensively studied the work of Isaac Newton, attended his lectures, and developed many of his own hypotheses based on those of Newton. His experiments were illustrated and thoroughly described in his book 'Experimental and Mathematical Physics'. This 1756 edition includes impressive engravings showing the details of his experiments on hydraulics, mechanics, optics, and navigation!
According to the 'Daumas Historical Science',
"Underlying Musschenbroek's lectures demonstrated with experiments was the experimental philosophy. The principal source of inspiration was Newton, but Galileo, Torricelli, Huygens, Réaumur, and others were important to this school."
This tome includes the oft-lacking folding map of the world which features California as an island!
Item number: #16047
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Descubrimiento de la aguja nautica, de la situacion de la America, del arte de navegar, y de un nuevo metodo para el adelantamiento en las artes y ciencias
by Antonio Raymundo Pascual (1708-1791)
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[8],+320 pages. Small quarto (8 1/2" x 5 3/4") bound in contemporary vellum with title in script on spine. (Medina BHA 5346; Palau 214290; Sabin 58993) First edition.Fray Antonio Raimundo Pascual was a Majorcan Cistercian brother. He wrote at least six works that were published in his lifetime, four of which dealt with Llull.Treatise seeking to show that the medieval Catalan thinker Ramón Lull (or Llull; 1232?-1316), a native of Palma, Majorca, had discovered the use of the magnetic compass in navigation, and that Lull's theories regarding the existence of a Western continent influenced Columbus. Llull's Art (in Latin Ars) is at the center of his thought and undergirds his entire corpus. It is a system of universal logic based on a set of general principles activated in a combinatorial process. It can be used to prove statements about God and Creation (e.g., God is a Trinity). Often the Art formulates these statements as questions and answers (e.g., Q: Is there a Trinity in God? A: Yes.). It works…
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A treatise on practical astronomy
by VINCE, Samuel
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1790 ASTRONOMY Vince TELESCOPES Optics Mathematics Newton Physics CambridgeSamuel Vince was an 18th-century English astronomer who was better known for his studies in mathematics and physic experiments; however, his astronomy treatise is easily one of his most popular and important works. "Treatise on Practical Astronomy" was written to aid other astronomers and physicists in their studies with special attention given to the use and care of the telescope.
It should be noted that this 1790 edition contains impressive folding engravings – views of astronomy tools, micrometers, telescopes, and protractors.
Item number: #20378
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VINCE, Samuel
A treatise on practical astronomy
Cambridge: printed by Archdeacon, for Merrill…, 1790. 1st edition
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· Collation: Complete with all pages
o
[6], 204
o
8 folding engravings
· Language: English
· Binding: Leather; tight and secure
· Size: ~11.5in X 9in (29.5cm x 22.5cm)
· Very rare and desirable
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Compound Subtraction
by ELLIS, Robert
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1834 Handwritten Mathematics Manuscript WINE & BEER Apothecary Drugs Stocks An interesting handwritten manuscript of mathematics lessons, theories, and problems. The lessons cover mathematical concepts such as subtraction, proportion, multiplication, and division, including an interesting section entitled 'The Rule of Three'. The lessons are then applied in a variety of practical questions, such as converting measurements between apothecary, troy, and avoirdupois weights and measures; understanding billing, expenses, and cost of services rendered; use of currency; brokerage of stocks; and many more. These practical questions often feature goods and services students would frequently interact with on a daily basis during this time period, such as the cost of ingredients for wine and beer; understanding how many garments could be made from a given length of cloth; travel distances over time; and cost of tobacco, to name just a few.
Item number: #21088
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ELLIS, Robert
Compound Subtraction… Read More
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On Cumulative Sums of Random Variables (Annals of Mathematical Statistics 15 No. 3 pp. 283 - 296, September 1944) and Sequential Tests of Statistical Hypotheses (Annals of Mathematical Statistics 16 No. 2 pp. 117 -186, June 1945)
by Wald, Abraham
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1st Edition. FIRST EDITIONS IN MINT CONDITION AND IN ORIGINAL WRAPS of Abraham Wald's seminal work on sequential tests of statistical hypotheses. Before Wald, the traditional style of statistical decision was to posit a hypothesis, make a predetermined number of measurements, then make a decision whether to accept or reject the hypothesis. Wald realized that this procedure is quite wasteful, and that many measurements could be saved if given the option to decide at every step whether to continue or stop the measurement process. "According to Wald, the resulting ‘sequential probability ratio test frequently results in a savings of about 50 percent in the number of observations over the most efficient test procedure based on a fixed number of observations" (Gass, An Annotated Timeline of Operations Research, 65). In these papers Wald, known now as "the father of sequential analysis and decision theory," first presents the theoretical foundations of the theory of sequential analysis. The ideas he put…
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APOLLONII PERGAEI LOCORUM PLANORUM LIBRI II RESTITUTI A ROBERTO SIMSON M.D.
by Apollonius Of Perga
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Glasguae (glasgow): In Aedibus Academicius, Excudebant Rob. Et And. Foulis. Very Good. 1749. First Edition. Hardcover. Full brown calf professionally rebacked with 5 raised bands and original leather spine label. Xviii, 233, [1]. Illustrated with diagrams throughout the text. Hinges and text tight and intact. Latin text. Prior owner's bookplate. First 10 & last 4 leaves heavily foxed then scattered light foxing. Mathematics, Greek Geometry, Science. ; Diagrams; Small 4to 9" - 11" tall; 233 pages .
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Saggio della filosofia del signor cav. Isaaco Newton, esposto con chiarezza dal signor Enrico Pemberton con una dissertazione dello stesso su la misura della forza de'corpi in moto cavata dagli Atti fiolsofici d'Inghilterra Opera tr. dall'inglese. Aggiuntovi l'estratto di altra dissertazione contraria su lo stesso argomento
by Pemberton, Henry (1694-1771, English physician and man of letters); Newton, Isaac (1642-1727)
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Worcester, United Kingdom
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Venice: Venice: presso Francesco Storti in Merceria, 1745. Full vellum. Very Good. Second edition, quarto; [8], xvi, 232pp, with 11 folding engraved plates. In original full vellum binding with early manuscript ink title to spine, woodcut device to title page (with lower blank margin neatly excised), lacks free endpapers, publisher's catalogue to rear leaf, an attractive example in its original binding of this very early Italian translation of Pemberton's digest of Newton's works.
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Beschreibung eines Ellipsograph, womit man wahre Ellipsen ohne Berechnung der Brennpunkte sehr leicht beschreiben kann, nebst etwas Neues für den Brücken- und Gewölben-Bau und den Steinschnitt, von dem Verfasser der zweckmäßigen Luftreiniger. Nebst zwey Kupfertafeln.
by Parrot, Georg Friedrich
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Engelmann, p. 35 ; Recke/Napiersky III, p. 367 ; ADB XXV, 184 ; Poggendorff II, 365 ; not in Tomash Library Cat. First and only edition. The book contains two chapters, the first covering pages 1-90 with a detailed description of this mathematical instrument, the second its mathematical derivation with numerous examples. After starting his career as a teacher in southern Germany and France, Parrot (1767-1852) was very successful as a professor of physics and rector of the University of Dorpat from 1795. One folding plate with the various parts of the instrument.
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PRINCIPIA MATHEMATICA.
by WHITEHEAD. AFRED NORTH. -- And: RUSSELL. BERTRAND. F.R.S
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Cambridge University Press. 1950. THREE VOLUMES. Large 8vo. (9.7 x 7.1 inches). Reprint of the second Edition, originally published in 1925 (Volume 1) and 1927 (volumes 2 and 3). ---- Volume 1. xlvi, 674pp. - Volume 2. xxxi, 742pp. - Volume 3. viii, 491pp. Some foxing to the first and last few pages of each volume but generally very good clean copies in the publishers dark blue cloth with gilt lettering and publisher logo to the spines. The boards are a little marked and the spines a bit dulled but still very good copies. In original green paper dustwrappers, printed in dark blue, with some darkening to the spines and minor chipping to the extremities but generally very good. ----- Originally published in 1910, 1912 and 1913, the second edition appeared in 1925 and 1927 with a new introduction and three appendices.
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The LaPlace Transform
by Widder, David Vernon
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Widder, David Vernon: THE LAPLACE TRANSFORM. Copyright 1941. 1946 Second Printing Thus. Princeton University Press, London. MATHEMATICS. INTEGRAL TRANSFORM. "The Laplace transform is an integral transform perhaps second only to the Fourier transform in its utility in solving physical problems." USED. VG Condition/ No DJ included if issued. 6 ¼ X 9 ¼. 405 pages, indexed. RARE. Please see stock photo.
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The Giant Anthology of Science Fiction
by Margulies, Leo
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LEO MARGULIES, EDITOR. The Giant Anthology of Science Fiction (1954, Merlin Press 1st Ed. w/dj)Please see our stock cover photo. Edited by Leo Margulies and Oscar J. Friend. Used. VG/G- original unclipped $3.95 DJ. 1954, Merlin Press, Inc. 580 pages. ANTHOLOGY.. 10 stories included in this volume are: Enchantress of Venus by Leigh Brackett; Gateway to darkness by Fredric Brown; The girl in the golden atom by Ray Cummings; Forgotten world by Edmond Hamilton; By his bootstraps by Robert A. Heinlein; Sword of tomorrow by Henry Kuttner; Things pass by, by Murray Leinster; Rogue Ship by A. E. Van Vogt; Island in the sky by Manly Wade Wellman; The Sun Maker by Jack Williamson.
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Progress in Cybernetics and Systems Research, Volume 5: Organization and Management, Organic Problem-Solving in Management System Approach in Urban and Regional Planning Computer performance, Control and Evaluation Computer linguistics
by Robert Trappl, F. de P. Hanika and Franz R Pichler (editors)
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Ex-library, shows some age with some wear on orange cloth cover. Otherwise good with clean text. Email for pictures
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PHOLD-IT A delightful new approach to creating geometric solids in paper
by Goldberg, Steven A.; Robert E. Sellars
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Discounted for final fair hours!San Jose, CA: Billiken Press, 1971. First Edition. Paperback. Very good. Softcover 4to, 44pp. No date, but an article about the book appears in the Dec 3, 1971 San Jose State "Spartan Daily" newspaper. Adhesive remainder to the upper left cover, mild rubbing and edgewear. Previous owner's signature on the title page, else unmarked. Great '70s graphic design and illustrations. Developed while Goldberg was a grad student at SJS to make sturdy geometrical models that "combine techniques from the mathematics and art classroom." Patterns are included to make a equilateral tetrahedron, equilateral hexahedron, isosceles hexahedron, cube, octahedron, decahedron, icosahedron, twenty-four triangular hedron, and concave hedron. Goldberg published a more popular variation of the book in 1977, without Sellars (misspelled "Sellers" on the title page). The newer "Pholdit" featured simpler shapes and was marketed toward a more general audience for "family fun." Scarce.
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The world of Mathematics Four Volume Set
by James R. Newman
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Dover, New Hampshire, United States
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New York: Simon And Schuster,, 1956. 1st edition. Very Good no tears or markings. New York: Simon And Schuster,, 1956. 1st edition. Hardcover. Condition: Near Fine. 1st Edition. 2535 Pp. Four Volumes, Blue Cloth, Gilt. lettering on the spineStated Third printing Each volume is in excellent condition throughout with no stains tears or dog ears. Tan/red slip case has protected the books very well but it does have some shelf wear Please see pictures others available on request 2535 pp.
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Functional Operators, Volume I [Annals Of Mathematics Studies, Number 21]
by Von Neumann, John
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Princeton: Princeton University Press, 1950. 1st Edition . Soft cover. Very Good +. 261 Pp. Orange Wrappers Printed In Black. Light Wear, Two Corner Creases To Front Cover, Bumping To All Tips. Small Name Stamp Of H. Stanley Graf (Who Worked In Operations Research) On Top Edge Of Page Block, No Other Marks.
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Formulas and Theorems for the Special Functions of Mathematical Physics (Die Grendlehren der mathematischen Wissenschaften Band 52)
by Magnus, Wilhelm, Fritz Oberhettinger & Raj Pal Soni
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Portland, Oregon, United States
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New York: Springer-Verlag, 1966. Third Enlarged Edition. Hardcover. Very Good. 508pp; Yellow cloth boards with titling to front & spine, boards square, clean & bright, previous owner's name to FFEP, text unmarked, binding is tight, VG condition. Textbook of formulas and theorems for the special functions of mathematical physics. Translated from the German.
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Estimation, Control, and the Discrete Kalman Factor (Applied Mathematical Sciences V. 71): Applied Mathematical Sciences V. 71
by Donald E. Catlin
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Catlin, Donald E.Estimation, Control, the Discrete Kalman Factor (Applied Mathematical Sciences V. 71) New York: Springer-Verlag, 1989. First Printing. Printed in the United States of America. vii - xiii + 274p. 6.25x0.75x9.75. Yellow and white paper over boards with black titling and publisher's device. Collectible hardcover in LIKE NEW condition. Bright, clean pages. Square boards, with a miniscule scratch to the front cover joint, light wear to the spine ends. With 13 illustrations. Bibliography, Index.
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COURS DE PHYSIQUE MATHEMATIQUE
by Mathieu Emile M
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Paris: Gauthier-Villars. Very Good. 1873. First Edition. Hardcover. Clean brown cloth, re-backed with maroon cloth over 1/2 leather spine. Paper spine label. Interior of text is tight, clean & intact , first and last few pages are somewhat foxed. Front corners lightly rubbed. (viii) , 294pp. Signature of Robert Ramsey Webb, Professor of Mathematics at St. Johns, Cambridge. Member of the Royal Astronomical Society. Mathematics Physics ; 4to 11" - 13" tall; 294 pages .
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Springer Series in Information Sciences 30: Self-Organizing Maps
by Teuvo Kohonen
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Longmont, Colorado, United States
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Berlin: Springer, 2001. Softcover. Near Fine. Ownership signature at top of first page. Otherwise Fine / As New. Photo is of the copy here at Barbed Wire Books.
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