A second course on real functions  hard ~ pbk.

A.C.M. van Rooij and W.H. Schikhof

When considering a mathematical theorem one ought not only to know how to prove it but also why and whether any given conditions are necessary. All too often little attention is paid to to this side of the theory and in writing this account of the theory of real functions the authors hope to rectify matters. They have put the classical theory of real functions in a modern setting and in so doing have made the mathematical reasoning rigorous and explored the theory in much greater depth than is customary. The subject matter is essentially the same as that of ordinary calculus course and the techniques used are elementary (no topology, measure theory or functional analysis). Thus anyone who is acquainted with elementary calculus and wishes to deepen their knowledge should read this.

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[目次]

  • 1. Monotone functions
  • 2. Subsets of R
  • 3. Continuity
  • 4. Differentiation
  • 5. Borel measurability
  • 6. Integration.

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この本の情報

書名 A second course on real functions
著作者等 Rooij, A. C. M. van
Schikhof, Wilhelmus Hendricus
Schikhof W. H.
Rooij A.C.M.Van
巻冊次 hard
pbk.
出版元 Cambridge University Press
刊行年月 1982
ページ数 xiii, 200 p.
大きさ 24 cm
ISBN 0521283612
0521239443
NCID BA03872722
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言語 英語
出版国 イギリス
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