Non-Standard Analysis
Amsterdam: North-Holland Publishing Company, 1966. First edition. Hardcover. 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. Near Fine / very near Fine. Item #00009399
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.
Price: $375.00