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Hardback. Non-standard Analysis - Mathematical Logic. Hardcover bound photocopy of book.'In the fall of 1960 it occurred to me that the concepts and methods of contemporary Mathematical Logic are capable of providing a suitable framework for the development of the Differential and Integral Calculus by means of infinitely small and infinitely large numbers'. (From Preface by author). Good condition. This is a photocopy of the book - bound as a book in blue cloth boards.
Verlag: Princeton University Press, 1996
ISBN 10: 0691044902ISBN 13: 9780691044903
Anbieter: mountain, GEORGETOWN, CO, USA
Buch
paperback. Zustand: VeryGood. Softcover book, very light wear to cover, pages are good and tight.
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Verlag: Princeton University Press, 1996
Anbieter: Miliardi di Parole, Pietra Marazzi, AL, Italien
Zustand: Buone. inglese Condizioni dell'esterno: Buone Condizioni dell'interno: Buone.
Verlag: North Holland, Amsterdam, 1966
Anbieter: Riverbooks, Suttons Bay, MI, USA
Buch
Hardcover. Zustand: Fine. Zustand des Schutzumschlags: Near Fine. Studies in Logic and the Foundations of Mathematics. Fine bright cover with lovely black and gold blocking, interior clean with no underlining, etc.; dust jacket with light shelf wear and what appears to be a 3/4" x 3/4" stain (from old price sticker?) on the front panel at top corner, else clean and bright. Condition: fine in near fine dust jacket.
Verlag: North-Holland Pub. Co
Anbieter: Broad Street Books, Branchville, NJ, USA
Buch
hardcover. Zustand: Very Good. Second Printing 1970 - Hardcover with dust jacket. Book is in nice condition, text is unmarked and pages are tight. First few pages and outer edge of page block has light foxing.
Verlag: North-Holland Publishing Company, Amsterdam, 1966
Anbieter: Antiquariat Günter Hochgrebe, Kassel, Deutschland
First Edition 8°, XI, 293 p. with index, cloth (Studie in logic and the foundations of mathematics). Abraham Robinson, Mathematiker, geboren am 6.10.1918 in Waldenburg, gestorben am 11.4.1974 in New Haven. berühmt wurde er durch seine Beiträge zur Modelltheorie und seine Begründung der Infinitesimalien. Lang: englisch 1100 g. Vorsatz mit Name und 4 Flecken, 2 Seiten mit roten Anstreichungen, sonst gut erhalten.
Amsterdam, North-Holland, 1966. 8vo. Publishers full cloth with dust jacket. Both in fine condition. Previous owners signature to front free end paper.Otherwise completely clean throughout. A fine copy. First edition of this foundational work in mathematics. In this book Robinson gave the first rigorous formulation of Analysis using infinitesimals. Both Leibniz and Newton had used the notion of infinitesimals when they developed the Differentail and Integral Calculus in the 17th century. As Leibniz argued the theory of infinitesimals implies the introduction of ideal numbers which might be infinitely small or large compared to the real numbers. However, neither he nor his disciples and succesors were able to give a rational development leading up to a system of this sort. As a result, the theory of infinitesimals gradually fell into disrepute and was replaced by eventually by the classical theory of limits. Robinson was the first to show that Leibniz's ideas in fact can be fully vindicated and that they lead to a fruitful approach to classical Analysis. He coined his model "Non-Standard Anlysis".
Verlag: North-Holland Publishing Company, Amsterdam, 1966
Anbieter: Evening Star Books, ABAA/ILAB, Madison, WI, USA
Erstausgabe
Hardcover. Zustand: Near Fine. Zustand des Schutzumschlags: very near Fine. First edition. 8vo. [7], viii-xi, [2], 2-293, [3] pp. Bound in yellow cloth with narrow rule border on the front board in black, gold lettering on the spine inset in a solid black rectangle with black and gold rules at the top and bottom of the spine. A volume in the long-running series Sudies in Logic and the Foundations of Mathematics. Publisher's list dated February 1966 and publisher's post card for requesting notification of new titles in the series laid in. Omega Bibliography, III, 463. This book was inspired by Skolem's work on non-standard models of arithmetic. Robinson's discovery was that the methods of logic could be used as a framework within which calculus could be developed by employing infinitesimals, the infinitely small numbers closer to 0 than any real number. Until Robinson's work, no consistent formal development of the calculus using infinitesimals had been discovered and the method of limits was used in rigorous developments of analysis. By establishing the consistency of a model-theoretic approach to analysis based on infinitesimals, Robinson vindicated the long-abandoned method originally proposed by Leibniz. Since Robinson's approach was based on non-standard models of analysis, he called this new subject Non-Standard Analysis. Although several innovative calculus textbooks were developed based on Robinson's ideas, this elegant and intuitive approach sadly never caught on with teachers of calculus. Nevertheless, Robinson's discoveries have led to a very fruitful research program and work in this area is still ongoing. A very attractive copy of Robinson's well-known book, a fascinating chapter in the history of mathematics. A Near Fine book with a previous owner's name and "London '66" written on the free front endpaper and a tiny correction in ink in the bibliography in a beautiful very near Fine dust jacket with a few hints of wear to the extremities.
Anbieter: GoldBooks, Denver, CO, USA
Hardcover. Zustand: new. New Copy. Customer Service Guaranteed.
Verlag: North-Holland Publishing Company, Amsterdam, 1966
Anbieter: Sekkes Consultants, North Dighton, MA, USA
Erstausgabe
Hardcover. Zustand: fine. Zustand des Schutzumschlags: fine. first edition. Nonstandard analysis was originated in the early 1960s by the mathematician Abraham Robinson. It reformulates the calculus using a logically rigorous notion of infinitesimal numbers. The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers. The standard way to resolve these debates is to define the operations of calculus using epsilondelta procedures rather than infinitesimals. Nonstandard analysis. Fine, protected in transparency. 6½" - 9". book.