Mathematics and Logic: Retrospect and Prospects (Dover Books on Mathematics)
Kac, Mark und Stanislaw M. Ulam:
ISBN 10: 0486670856 ISBN 13: 9780486670850
Editore: Dover Publications Inc., 1992
Usato
Softcover
Da
Berliner Büchertisch eG, Berlin, Germania
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Descrizione:
192 S. Gutes Exemplar, geringe Gebrauchsspuren, Cover/SU berieben/bestoßen, innen alles in Ordnung. Z250724ah69 ISBN: 9780486670850 Sprache: Englisch Gewicht in Gramm: 294. Codice articolo 733740
Riassunto:
What is mathematics? How was it created and who were and are the people creating and practicing it? Can one describe its development and role in the history of scientific thinking and can one predict the future? This book is a thought-provoking attempt to answer such questions and to suggest the scope and depth of the subject.
The volume begins with a discussion of problems involving integers in which ideas of infinity appear and proceeds through the evolution of more abstract ideas about numbers and geometrical objects. The authors show how mathematicians came to consider groups of general transformations and then, looking upon the sets of such subjects as spaces, how they attempted to build theories of structures in general. Also considered here are the relations between mathematics and the empirical disciplines, the profound effect of high-speed computers on the scope of mathematical experimentation, and the question of how much mathematical progress depends on "invention" and how much on "discovery." For mathematicians, physicists, or any student of the evolution of mathematical thought, this highly regarded study offers a stimulating investigation of the essential nature of mathematics.
The volume begins with a discussion of problems involving integers in which ideas of infinity appear and proceeds through the evolution of more abstract ideas about numbers and geometrical objects. The authors show how mathematicians came to consider groups of general transformations and then, looking upon the sets of such subjects as spaces, how they attempted to build theories of structures in general. Also considered here are the relations between mathematics and the empirical disciplines, the profound effect of high-speed computers on the scope of mathematical experimentation, and the question of how much mathematical progress depends on "invention" and how much on "discovery." For mathematicians, physicists, or any student of the evolution of mathematical thought, this highly regarded study offers a stimulating investigation of the essential nature of mathematics.
Informazioni sull'autore:
Mark Kac was a distinguished mathematician formerly of the Rockefeller Institute and Cornell University. Stanislaw M. Ulam was a well-known nuclear scientist and mathematician who worked on the Manhattan Project and taught at Harvard University and the Universities of Wisconsin and Colorado.
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Dati bibliografici
Titolo: Mathematics and Logic: Retrospect and ...
Casa editrice: Dover Publications Inc.
Data di pubblicazione: 1992
Legatura: Softcover
Condizione: Gut
Edizione: New ed.