Berlin: Julius Springer, 1935. 1st Edition. FIRST EDITION IN ORIGINAL PRINTED WRAPS OF THE “LANDMARK” PAPER PRESENTING THE PREISACH MODEL OF HYSTERESIS ((Mayergoyz, Mathematical Models of Hysteresis, 1).
The Preisach model is a well-known hysteresis identification method in which the hysteresis is modeled by linear combination of hysteresis operators. First introduced by Ferenc (Franz) Preisach in this paper, the widely accepted Preisach model of hysteresis “generalizes hysteresis loops as the parallel connection of independent relay hysterons" [a two-valued operator used to model hysteresis] (Wikipedia).
Hysteresis is a form of non-linearity with memory, an example being a magnet that may “have more than one possible magnetic moment in a given magnetic field, depending on how the field changed in the past” (Wikipedia). In the Preisach model specifically, hysteresis is described starting from the hypothesis that a free-energy profile characterized by multiple local minima and metastable state can be decomposed into a set of many elementary bistable contribution. Each bistable unit can occupy one of two states, (+) and (-), and is characterized by two reduced fields, the local coercive field and an interaction field” (Mayergoyz, The Science of Hysteresis, 101).
“Preisach’s approach was purely intuitive. It was based on a plausible hypotheses concerning the physical mechanisms of magnetization. For this reason, the Preisach model was first regarded as a physical model of hysteresis” (Mayergoyz). The model remains frequently in use is a wide variety of the sciences — from mathematics to engineering, mechanics, economics, and biology. Item #947
CONDITION & DETAILS: Complete issue. [viii], pp. 277-712. 8vo. 9 x 6 inches; 225 x 140mm). Very slight toning at the edges of the wraps and interior (the scanner makes it appear much, much darker in the image than to the naked eye). Front wrap is detached, withal bright, clean, and near fine condition.