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Titlebook: Analysis for Applied Mathematics; Ward Cheney Textbook 2001 Springer-Verlag New York 2001 Hilbert space.Newton‘s method.calculus.different

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发表于 2025-3-21 17:15:16 | 显示全部楼层 |阅读模式
期刊全称Analysis for Applied Mathematics
影响因子2023Ward Cheney
视频video
发行地址Provides analytical tools and concepts needed for solving problems in modern applied mathematics = core maths for applications.Prepares readers for work in the modern theory of PDE‘s through coverage
学科分类Graduate Texts in Mathematics
图书封面Titlebook: Analysis for Applied Mathematics;  Ward Cheney Textbook 2001 Springer-Verlag New York 2001 Hilbert space.Newton‘s method.calculus.different
影响因子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 efi
Pindex Textbook 2001
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https://doi.org/10.1007/978-3-322-80253-8s and other similar problems. Another section, devoted to extremum problems, illustrates how the methods of calculus (in Banach spaces) can lead to solutions. A section on the “calculus of variations” closes the chapter.
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Digitale Kommunikationssysteme 2an equation that it satisfies. A judiciously chosen transform is then applied to that equation, the result being a simpler equation in the transformed function . After this simpler equation has been solved for ., the inverse transform is applied to obtain .. We illustrate with the Laplace transform.
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Calculus in Banach Spaces,ples of the general theory, as are the Gâteaux and Fréchet differentials. Kantorovich’s theorem on Newton’s method is proved. Following that there is a section on implicit function theorems in a general setting. Such theorems can often be used to prove the existence of solutions to integral equation
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