9780387903125 - counterexamples in topology von steen, l.a. (6 Ergebnisse)
Sprache: Englisch
Verlag: Springer New York 1978
Serie: Dover Books on Mathematics, Buch 187 von 303. Buch 187 von 303 - Dover Books on Mathematics
- Softcover
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Sprache: Englisch
Verlag: Springer 1978
Serie: Dover Books on Mathematics, Buch 187 von 303. Buch 187 von 303 - Dover Books on Mathematics
- Softcover
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Zustand: Fine. *Price HAS BEEN REDUCED by 10% until Monday, June 15 (sale item)* 2nd edition, 244 pp., Paperback, spine lightly faded else near fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duti…es, taxes, or fees required by recipient's country.
Sprache: Englisch
Verlag: Springer 1978
Serie: Dover Books on Mathematics, Buch 187 von 303. Buch 187 von 303 - Dover Books on Mathematics
- Softcover
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Sprache: Englisch
Verlag: Springer 1978
Serie: Dover Books on Mathematics, Buch 187 von 303. Buch 187 von 303 - Dover Books on Mathematics
- Softcover
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Sprache: Englisch
Verlag: Springer New York 1978
Serie: Dover Books on Mathematics, Buch 187 von 303. Buch 187 von 303 - Dover Books on Mathematics
- Softcover
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Sprache: Englisch
Verlag: Springer, Springer 1978
Serie: Dover Books on Mathematics, Buch 187 von 303. Buch 187 von 303 - Dover Books on Mathematics
- Softcover
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The creative process of mathematics, both historically and individually, may be described as a counterpoint between theorems and examples. Al though it would be hazardous to claim that the creation of significant examples is less demanding than the d…evelopment of theory, we have dis covered that focusing on examples is a particularly expeditious means of involving undergraduate mathematics students in actual research. Not only are examples more concrete than theorems-and thus more accessible-but they cut across individual theories and make it both appropriate and neces sary for the student to explore the entire literature in journals as well as texts. Indeed, much of the content of this book was first outlined by under graduate research teams working with the authors at Saint Olaf College during the summers of 1967 and 1968. In compiling and editing material for this book, both the authors and their undergraduate assistants realized a substantial increment in topologi cal insight as a direct result of chasing through details of each example. We hope our readers will have a similar experience. Each of the 143 examples in this book provides innumerable concrete illustrations of definitions, theo rems, and general methods of proof. There is no better way, for instance, to learn what the definition of metacompactness really means than to try to prove that Niemytzki's tangent disc topology is not metacompact. The search for counterexamples is as lively and creative an activity as can be found in mathematics research.
