Cornerstones

Hermitian Analysis

From Fourier Series to Cauchy-Riemann Geometry

Authors: D'Angelo, John P.

  • ​Many examples and hundreds of exercises are provided to promote understanding
  • Uses the concept of orthogonality to unify various mathematical topics
  • Includes accessible content designed to lead students from undergraduate- to research-level mathematics
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eBook $54.99
price for USA (gross)
  • ISBN 978-1-4614-8526-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $69.99
price for USA
  • ISBN 978-1-4614-8525-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $69.99
price for USA
  • ISBN 978-1-4939-4898-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this Textbook

​​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.​

Reviews

From the book reviews:

“The present book developed from the teaching experiences of the author in several honors courses. … All the topics are motivated very nicely, and there are many exercises, which make the book ideal for a first-year graduate course on the subject. … The style is concise, always very neat, and proofs are given with full details. Hence, I certainly suggest this nice textbook to anyone interested in the subject, even for self-study.” (Fabio Nicola, Mathematical Reviews, July, 2014)

“This is a clearly written and attractive textbook using a new concept. … The book includes numerous examples and more than 270 exercises. … I warmly recommend this book to all graduate students.” (László Leindler, zbMATH, Vol. 1281, 2014)


Table of contents (5 chapters)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-1-4614-8526-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $69.99
price for USA
  • ISBN 978-1-4614-8525-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $69.99
price for USA
  • ISBN 978-1-4939-4898-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Hermitian Analysis
Book Subtitle
From Fourier Series to Cauchy-Riemann Geometry
Authors
Series Title
Cornerstones
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-8526-1
DOI
10.1007/978-1-4614-8526-1
Hardcover ISBN
978-1-4614-8525-4
Softcover ISBN
978-1-4939-4898-7
Series ISSN
2197-182X
Edition Number
1
Number of Pages
X, 203
Number of Illustrations and Tables
8 b/w illustrations, 19 illustrations in colour
Topics