Richard Johnsonbaugh, W. E. Pfaffenberger

Foundations of Mathematical Analysis (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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.

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Produktdetails

• Verlag: Guilford Publications
• Seitenzahl: 448
• Erscheinungstermin: 14. August 2012
• Englisch
• ISBN-13: 9780486134772
• Artikelnr.: 39139380

Autorenporträt

Richard Johnsonbaugh and W. E. Pfaffenberger

Inhaltsangabe

Preface Preface to the Dover Edition I Sets and Functions II The Real
Number System III Set Equivalence IV Sequences of Real Numbers V Infinite
Series VI Limits of Real-Valued Functions and Continuous Functions on the
Real Line VII Metric Spaces VIII Differential Calculus of the Real Line IX
The Riemann-Stieltjes Integral X Sequences and Series of Functions XI
Transcendental Functions XII Inner Product Spaces and Fourier Spaces XIII
Normed Linear Spaces and the Riesz Representation Theorem XIV The Lebesgue
Integral Appendix: Vector Spaces References Hints to Selected Exercises
Index Errata