Elementary Theory of Metric Spaces

Language: English

Published by Springer, Springer Jun 1998, 1998

0387907068 / 9780387907062

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This item is printed on demand - Print on Demand Titel. Neuware -Science students have to spend much of their time learning how to do laboratory work, even if they intend to become theoretical, rather than experimental, scientists. It is important that they understand how experiments are performed and what the results mean. In science the validity of ideas is checked by experiments. If a new idea does not work in the laboratory, it must be discarded. If it does work, it is accepted, at least tentatively. In science, therefore, laboratory experiments are the touchstones for the acceptance or rejection of results. Mathematics is different. This is not to say that experiments are not part of the subject. Numerical calculations and the examina tion of special and simplified cases are important in leading mathematicians to make conjectures, but the acceptance of a conjecture as a theorem only comes when a proof has been constructed. In other words, proofs are to mathematics as laboratory experiments are to science. Mathematics students must, therefore, learn to know what constitute valid proofs and how to construct them. How is this done Like everything else, by doing. Mathematics students must try to prove results and then have their work criticized by experienced mathematicians. They must critically examine proofs, both correct and incorrect ones, and develop an appreciation of good style. They must, of course, start with easy proofs and build to more complicated ones.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 136 pp. Englisch.…

Seller Inventory # 9780387907062

Title
Elementary Theory of Metric Spaces
Author
Robert B. Reisel
Publisher
Springer, Springer Jun 1998
Publication year
1998
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
0387907068
ISBN 13
9780387907062
Item weight
219 grams
Dimensions
235x155x8 mm

buchversandmimpf2000

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