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Hermitian Analysis: From Fourier Series to Cauchy-Riemann Geometry (Cornerstones)

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Hermitian Analysis: From Fourier Series to Cauchy-Riemann Geometry (Cornerstones) image
ISBN-10:

1461485258

ISBN-13:

9781461485254

Author(s): JOHN P.D ANGELO
Edition: 2013
Released: Sep 24, 2013
Publisher: Birkhauser
Format: Hardcover, 203 pages
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Description:

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.

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