Foundations of Mathematical Analysis (Dover Books on Mathematics) - Softcover

Johnsonbaugh, Richard; Pfaffenberger, W. E.

Softcover

ISBN 10: 0486477665 ISBN 13: 9780486477664

Verlag: Dover Publications Inc., 2010

Inhaltsangabe

This classroom-tested volume offers a definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. Upper-level undergraduate students with a background in calculus will benefit from its teachings, along with beginning graduate students seeking a firm grounding in modern analysis.
A self-contained text, it presents the necessary background on the limit concept, and the first seven chapters could constitute a one-semester introduction to limits. Subsequent chapters discuss differential calculus of the real line, the Riemann-Stieltjes integral, sequences and series of functions, transcendental functions, inner product spaces and Fourier series, normed linear spaces and the Riesz representation theorem, and the Lebesgue integral. Supplementary materials include an appendix on vector spaces and more than 750 exercises of varying degrees of difficulty. Hints and solutions to selected exercises, indicated by an asterisk, appear at the back of the book.

Über diesen Titel

Über die Autorin bzw. den Autor

Richard Johnsonbaugh was a professor at DePaul University.

Details zur Ausgabe

• Verlag: Dover Publications Inc.
• Erscheinungsdatum: 2010
• Sprache: Englisch
• ISBN 10: 0486477665
• ISBN 13: 9780486477664
• Einband: Taschenbuch
• Anzahl der Seiten: 448
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italien