A Second Course on Real Functions - Brossura

Van Rooij, A. C.M.

Brossura

ISBN 10: 0521283612 ISBN 13: 9780521283618

Casa editrice: Cambridge University Press, 2009

Riassunto

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.

Su questo libro

Descrizione del libro

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.

Contenuti

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

Dettagli dell?edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2009
• ISBN 10: 0521283612
• ISBN 13: 9780521283618
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 216