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＜電子ブック＞
Analysis for Applied Mathematics / by Ward Cheney
(Graduate Texts in Mathematics. ISSN:21975612 ; 208)

版	1st ed. 2001.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2001
本文言語	英語
大きさ	VIII, 448 p : online resource
著者標目	*Cheney, Ward author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Mathematics FREE:Analysis FREE:Applications of Mathematics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-1-4757-3559-8

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