A Problems Based Course in Advanced Calculus - Rilegato

Erdman, John M.

 
9781470442460: A Problems Based Course in Advanced Calculus
Rilegato
ISBN 10: 1470442469 ISBN 13: 9781470442460
Casa editrice: Amer Mathematical Society, 2018

Sinossi

This textbook is meant for advanced calculus courses taken by majors in math and physical sciences who have completed a standard introductory calculus sequence. It focuses on conceptual development and proofs through exercises or problems, covering intervals; topology of the real line; continuous functions from R to R; sequences of real numbers; connectedness and the intermediate value theorem; compactness and the extreme value theorem; the limits of real valued functions; differentiation of real valued functions; metric spaces; interiors, closures, and boundaries; the topology of metric spaces; sequences in metric spaces; uniform convergence; compact metric spaces; sequential characterization of compactness; connectedness; complete spaces; the contractive mapping theorem; vector spaces; linearity; continuity and linearity; norms; the Cauchy integral; differential calculus; partial derivatives and iterated integrals; computations in Rn; infinite series; the implicit function theorem; and higher order derivatives. The appendices summarize prerequisite information. Annotation ©2018 Ringgold, Inc., Portland, OR (protoview.com)

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Editore
Amer Mathematical Society
Data di pubblicazione
2018
Lingua
Inglese
ISBN 10 
1470442469
ISBN 13 
9781470442460
Rilegatura
Copertina rigida
Numero di pagine
360
Contatto del produttore
non disponibile
Persona responsabile
non disponibile