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Numbers imitate space, which is of such a di?erent nature —Blaise Pascal It is fair to date the study of the foundation of mathematics back to the ancient Greeks. The urge to understand and systematize the mathematics of the time led Euclid to postulate axioms in an early attempt to put geometry on a ?rm footing. With roots in the Elements, the distinctive methodology of mathematics has become proof. Inevitably two questions arise: What are proofs? and What assumptions are proofs based on? The ?rst question, traditionally an internal question of the ?eld of logic, was also wrestled with in antiquity. Aristotle gave his famous syllogistic s- tems, and the Stoics had a nascent propositional logic. This study continued with ?ts and starts, through Boethius, the Arabs and the medieval logicians in Paris and London. The early germs of logic emerged in the context of philosophy and theology. The development of analytic geometry, as exempli?ed by Descartes, ill- tratedoneofthedi?cultiesinherentinfoundingmathematics. Itisclassically phrased as the question ofhow one reconciles the arithmetic with the geom- ric. Arenumbers onetypeofthingand geometricobjectsanother? Whatare the relationships between these two types of objects? How can they interact? Discovery of new types of mathematical objects, such as imaginary numbers and, much later, formal objects such as free groups and formal power series make the problem of ?nding a common playing ?eld for all of mathematics importunate. Several pressures made foundational issues urgent in the 19th century.
The Foreman/Supervisor's Handbook is offered as a com prehensive and authoritative text which presents the kind of prac tical information the foreman or supervisor needs in order to be effective on the job. It completely revises and updates The Foreman's Handbook, a work which, through four previous edi tions, has become the standard text in its field. The term "foreman/supervisor" in the title of the new edition was decided upon by the editors despite a reluctance to tamper with a well established name, in recognition of a change in usage which has come about over the years. "Supervisor" is now more generally used in industry for the first level of management and is espe cially appropriate since the emerging role of women in super visory (and higher) positions has rendered the earlier, gender specific term less properly descriptive. Moreover, although the orientation of the book is to manufacturing operations, the prin ciples and techniques discussed have wide application in office operations, where the term "supervisor" is the designation uni versally used. To retain continuity with the previous editions, the compromise term "foreman/supervisor" was adopted. As in previous editions, each chapter is written by an authority in the ~ubject covered. Each, morever, stands on its own feet, i. e. , it can be read as a separate article, independent of preceding or succeeding chapters.
Management textbook on technical aspects and psychological aspects of the supervisory function - covers occupational qualifications, human relations, quality control, planning, cost control, occupational health, workers induction, in plant training, motivation, working conditions, wage payment systems, job evaluation, occupational psychology, scientific management, the use of EDP, etc.