Paperback. 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. Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises; some hints and solutions. 1981 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Bibliografische Details

Titel: Foundations of Mathematical Analysis (Paperback)
Verlag: Dover Publications Inc., New York
Erscheinungsjahr: 2010
Sprache: Englisch
ISBN-10: 0486477665
ISBN-13: 9780486477664
Einband: Paperback
Zustand: new

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This definitive look at modern analysis includes applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. The self-contained treatment contains clear explanations and all the appropriate theorems and proofs. A selection of more than 750 exercises includes some hints and solutions. 1981 edition.

�ber die Autorin bzw. den Autor

Richard Johnsonbaugh was a professor at DePaul University.

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