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Hermitian Analysis
John P. D'Angelo
其他書名
From Fourier Series to Cauchy-Riemann Geometry
出版Springer Science & Business Media, 2013-09-24
主題Mathematics / Mathematical AnalysisMathematics / Geometry / DifferentialMathematics / Differential Equations / GeneralMathematics / Functional Analysis
ISBN14614852669781461485261
URLhttp://books.google.com.hk/books?id=0L68BAAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋​​Hermitian Analysis: From Fourier Series to Cauchy-Riemann Geometry 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 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 CR Geometry. The inclusion of several hundred exercises makes this book suitable for a capstone undergraduate Honors class.​