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Hermitian Analysis: From Fourier Series to Cauchy-Riemann Geometry (Cornerstones) by John P. D'Angelo is a nonfiction available to read on EtoBox.

What is Hermitian Analysis: From Fourier Series to Cauchy-Riemann Geometry (Cornerstones) about?

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 teac

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

Author

John P. D'Angelo

Publisher

Birkhäuser

Published

2019

Language

EN

ISBN

9783030165130

Category

nonfiction

Subjects

Mathematics, Stem