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Cover: 9780387952796 | Analysis for Applied Mathematics | Ward Cheney | Buch | VIII | 2001
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Analysis for Applied Mathematics
Buch von Ward Cheney
Sprache: Englisch

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Beschreibung
This book evolved from a course at our university for beginning graduate stu­ dents in mathematics-particularly students who intended to specialize in ap­ plied mathematics. The content of the course made it attractive to other math­ ematics students and to graduate students from other disciplines such as en­ gineering, physics, and computer science. Since the course was designed for two semesters duration, many topics could be included and dealt with in de­ tail. Chapters 1 through 6 reflect roughly the actual nature of the course, as it was taught over a number of years. The content of the course was dictated by a syllabus governing our preliminary Ph. D. examinations in the subject of ap­ plied mathematics. That syllabus, in turn, expressed a consensus of the faculty members involved in the applied mathematics program within our department. The text in its present manifestation is my interpretation of that syllabus: my colleagues are blameless for whatever flaws are present and for any inadvertent deviations from the syllabus. The book contains two additional chapters having important material not included in the course: Chapter 8, on measure and integration, is for the ben­ efit of readers who want a concise presentation of that subject, and Chapter 7 contains some topics closely allied, but peripheral, to the principal thrust of the course. This arrangement of the material deserves some explanation.
This book evolved from a course at our university for beginning graduate stu­ dents in mathematics-particularly students who intended to specialize in ap­ plied mathematics. The content of the course made it attractive to other math­ ematics students and to graduate students from other disciplines such as en­ gineering, physics, and computer science. Since the course was designed for two semesters duration, many topics could be included and dealt with in de­ tail. Chapters 1 through 6 reflect roughly the actual nature of the course, as it was taught over a number of years. The content of the course was dictated by a syllabus governing our preliminary Ph. D. examinations in the subject of ap­ plied mathematics. That syllabus, in turn, expressed a consensus of the faculty members involved in the applied mathematics program within our department. The text in its present manifestation is my interpretation of that syllabus: my colleagues are blameless for whatever flaws are present and for any inadvertent deviations from the syllabus. The book contains two additional chapters having important material not included in the course: Chapter 8, on measure and integration, is for the ben­ efit of readers who want a concise presentation of that subject, and Chapter 7 contains some topics closely allied, but peripheral, to the principal thrust of the course. This arrangement of the material deserves some explanation.
Zusammenfassung
This textbook is designed for a course at the beginning graduate level, serving students of mathematics, engineering, physics, and other sciences. Its goal is to provide the analytical tools, concepts, and viewpoints needed for modern applied mathematics.
Inhaltsverzeichnis
1 Normed Linear Spaces.- 2 Hilbert Spaces.- 3 Calculus in Banach Spaces.- 4 Basic Approximate Methods of Analysis.- 5 Distributions.- 6 The Fourier Transform.- 7 Additional Topics.- 8 Measure and Integration.- References.- Symbols.
Details
Erscheinungsjahr: 2001
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Graduate Texts in Mathematics
Inhalt: viii
448 S.
27 s/w Illustr.
27 s/w Zeichng.
ISBN-13: 9780387952796
ISBN-10: 0387952799
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Cheney, Ward
Hersteller: Springer New York
Springer US, New York, N.Y.
Graduate Texts in Mathematics
Maße: 241 x 160 x 30 mm
Von/Mit: Ward Cheney
Erscheinungsdatum: 21.06.2001
Gewicht: 0,852 kg
Artikel-ID: 104778037
Zusammenfassung
This textbook is designed for a course at the beginning graduate level, serving students of mathematics, engineering, physics, and other sciences. Its goal is to provide the analytical tools, concepts, and viewpoints needed for modern applied mathematics.
Inhaltsverzeichnis
1 Normed Linear Spaces.- 2 Hilbert Spaces.- 3 Calculus in Banach Spaces.- 4 Basic Approximate Methods of Analysis.- 5 Distributions.- 6 The Fourier Transform.- 7 Additional Topics.- 8 Measure and Integration.- References.- Symbols.
Details
Erscheinungsjahr: 2001
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Graduate Texts in Mathematics
Inhalt: viii
448 S.
27 s/w Illustr.
27 s/w Zeichng.
ISBN-13: 9780387952796
ISBN-10: 0387952799
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Cheney, Ward
Hersteller: Springer New York
Springer US, New York, N.Y.
Graduate Texts in Mathematics
Maße: 241 x 160 x 30 mm
Von/Mit: Ward Cheney
Erscheinungsdatum: 21.06.2001
Gewicht: 0,852 kg
Artikel-ID: 104778037
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