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Titlebook: Hermitian Analysis; From Fourier Series John P. D‘Angelo Textbook 2019Latest edition Springer Nature Switzerland AG 2019 Hermitian Analysi

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书目名称Hermitian Analysis
副标题From Fourier Series
编辑John P. D‘Angelo
视频video
概述Includes a new chapter that provides an in-depth exploration of Cauchy-Riemann geometry.Uses the concept of orthogonality to unify various mathematical topics.Includes accessible content designed to l
丛书名称Cornerstones
图书封面Titlebook: Hermitian Analysis; From Fourier Series  John P. D‘Angelo Textbook 2019Latest edition Springer Nature Switzerland AG 2019 Hermitian Analysi
描述This textbook provides a coherent, integrated look at various topics from undergraduate analysis. It begins with Fourier series, continues with Hilbert spaces, discusses the Fourier transform on the real line, and then turns to the heart of the book, geometric considerations. This chapter includes complex differential forms, geometric inequalities from one and several complex variables, and includes some of the author‘s original results. The concept of orthogonality weaves the material into a coherent whole. This textbook will be a useful resource for upper-undergraduate students who intend to continue with mathematics, graduate students interested in analysis, and researchers interested in some basic aspects of Cauchy-Riemann (CR) geometry. The inclusion of several hundred exercises makes this book suitable for a capstone undergraduate Honors class.​.This second edition contains a significant amount of new material, including a new chapter dedicated to the CR geometry of the unit sphere. This chapter builds upon the first edition by presenting recent results about groups associated with CR sphere maps. .From reviews of the first edition:.The present book developed from the teachin
出版日期Textbook 2019Latest edition
关键词Hermitian Analysis; Cauchy-Riemann Geometry; CR geometry; Complex Analysis; Fourier series; Geometric ine
版次2
doihttps://doi.org/10.1007/978-3-030-16514-7
isbn_softcover978-3-030-16516-1
isbn_ebook978-3-030-16514-7Series ISSN 2197-182X Series E-ISSN 2197-1838
issn_series 2197-182X
copyrightSpringer Nature Switzerland AG 2019
The information of publication is updating

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John P. D’Angelos clear, easy to follow methods with expert implementation a.Movement is the way that animals interact with their environment and is under the organization and complex control of the brain and spinal cord. Multiple central nervous systems, including cortex, basal ganglia, cerebellum, and brainstem,
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John P. D’Angeloiple central nervous systems, including cortex, basal ganglia, cerebellum, and brainstem, interact to provide precise motor control and integration. Damage or disease within these systems cause profound motor disturbances in man, which can be effectively modeled in animals to develop a better unders
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Introduction to Fourier series,rgence is delicate. We introduce summation by parts as a tool for handling some conditionally convergent series of this sort. After verifying convergence, but before finding the limit, we pause to introduce and discuss several elementary differential equations. This material also leads to Fourier se
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Hilbert spaces,urns the favor by illuminating much of the information about Fourier series. We first develop enough information about Hilbert spaces to allow us to regard Fourier series as orthonormal expansions. We prove that (the symmetric partial sums of) the Fourier series of a square integrable function conve
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