A Problems Based Course in Advanced Calculus (Pure and Applied Undergraduate Texts, 32, Band 32) - Hardcover

Erdman, John M.

Hardcover

ISBN 10: 1470442469 ISBN 13: 9781470442460

Verlag: American Mathematical Society, 2018

Inhaltsangabe

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)

Über diesen Titel

Über die Autorin bzw. den Autor

John M. Erdman, Portland State University, OR.

Details zur Ausgabe

• Verlag: American Mathematical Society
• Erscheinungsdatum: 2018
• Sprache: Englisch
• ISBN 10: 1470442469
• ISBN 13: 9781470442460
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 360
• Kontakt zum Hersteller: preigu GmbH & Co. KG; mail@preigu.de; ; Lengericher Landstr. 19; Osnabrück; Niedersachsen; 49078; Deutschland