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Author: Matthew Foreman
Publisher: Springer Science & Business Media
ISBN: 1402057644
Category : Mathematics
Languages : en
Pages : 2200
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Book Description
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.
Author: Matthew Foreman
Publisher: Springer Science & Business Media
ISBN: 1402057644
Category : Mathematics
Languages : en
Pages : 2200
Get Book Here
Book Description
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.
Author: Carl Heyel
Publisher:
ISBN:
Category : Factory management
Languages : en
Pages : 490
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Book Description
Author: Carl Heyel
Publisher: Springer Science & Business Media
ISBN: 1468465996
Category : Science
Languages : en
Pages : 627
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Book Description
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.
Author: Anne Ramsay Somers
Publisher:
ISBN:
Category : Labor bureaus
Languages : en
Pages : 36
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Book Description
Author: Robert Mauchline
Publisher:
ISBN:
Category : Coal mines and mining
Languages : en
Pages : 228
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Book Description
Author: Mark Breslin
Publisher:
ISBN: 9780974166292
Category :
Languages : en
Pages : 200
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Book Description
Author: Steven D. Foreman
Publisher: Association for Talent Development
ISBN: 1607281651
Category : Business & Economics
Languages : en
Pages : 266
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Book Description
Select, Implement, and Operate the Perfect LMS If you need to manage training and education programs for employees, customers, or students, you need an LMS. Don’t waste time and money picking the wrong one. The LMS Guidebook gets to the core of what an LMS does and how it works. This book tackles the urgent challenges you will face when putting an LMS in place: Which features are must-haves? What standards should your LMS comply with to mesh with your other technology systems? How do you migrate existing learning data into your new LMS? How can you ensure an uneventful rollout? Not all LMS products will meet your needs. E-learning consultant Steve Foreman offers a broad view of the LMS categories and features so you can ask better questions of vendors and evaluate their products. He then turns to implementation and operation, offering in-depth guidance on how to establish appropriate standards, processes, and governance that will have your LMS running smoothly. Whether you’re on the instructional or technical side of the LMS, you can make the job of selecting and managing one less painful by following the proven practices in this book.
Author: United States. Works Progress Administration (New York, N.Y.)
Publisher:
ISBN:
Category : Public works
Languages : en
Pages : 106
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Book Description
Author: Deshmukh D.J.
Publisher:
ISBN: 9788189904333
Category :
Languages : en
Pages : 424
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Book Description
Contents: 1. Mining Geology Minerals, Rocks and Rock Structures. 2. Coal and Coalfields of India. 3. Boring. 4. Shaft Shinking. 5. Opencast Mining. 6. Access to Mineral Deposits and Pit Bottom, Pit-Top Layouts. 7. Drivage of Roads in Coal and Stone. 8. Explosives, Accessories and Blasting Practice. 9. Rock Mechanics and Roof Supports. 10. Stowing Pracice. 11. Bord and Pillar Method of Working Coal Development. 12. Pillar Extraction in Bord and Pillar. 13. Longwall and other methods of working. 14. Thick Seam Working.
Author: Philip E. Henderson
Publisher:
ISBN:
Category : Supervisors, Industrial
Languages : en
Pages : 40
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Book Description
