Applied and Numerical Harmonic Analysis

A Mathematical Introduction to Compressive Sensing

Authors: Foucart, Simon, Rauhut, Holger

  • The first textbook completely devoted to the topic of compressive sensing
  • Comprehensive treatment of the subject, including background material from probability theory, detailed proofs of the main theorems, and an outline of possible applications
  • Numerous exercises designed to help students understand the material
  • An extensive bibliography with over 500 references that guide researchers through the literature
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eBook 59,49 €
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  • ISBN 978-0-8176-4948-7
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  • Immediate eBook download after purchase
Hardcover 69,99 €
price for India (gross)
  • ISBN 978-0-8176-4947-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover 69,99 €
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  • ISBN 978-1-4939-0063-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
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About this Textbook

At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing. Based on the premise that data acquisition and compression can be performed simultaneously, compressive sensing finds applications in imaging, signal processing, and many other domains. In the areas of applied mathematics, electrical engineering, and theoretical computer science, an explosion of research activity has already followed the theoretical results that highlighted the efficiency of the basic principles. The elegant ideas behind these principles are also of independent interest to pure mathematicians.

A Mathematical Introduction to Compressive Sensing gives a detailed account of the core theory upon which the field is build. With only moderate prerequisites, it is an excellent textbook for graduate courses in mathematics, engineering, and computer science. It also serves as a reliable resource for practitioners and researchers in these disciplines who want to acquire a careful understanding of the subject. A Mathematical Introduction to Compressive Sensing uses a mathematical perspective to present the core of the theory underlying compressive sensing.

Reviews

From the book reviews:

“The book by S. Foucart and H. Rauhut is the first textbook on the subject of compressed sensing … Compressed sensing has provided an opportunity for electrical engineers to learn new mathematics, and it has given mathematicians some challenging new problems to consider. Foucart and Rauhut have written a comprehensive survey of the ideas and methods from this field. Their book will engage the interest of many researchers, both theoretical and applied.” (Joel A. Tropp, Bulletin of the American Mathematical Society, Vol. 54 (1), January, 2017)

“As a textbook it offers great flexibility for the instructor and can be used for both introductory and advanced courses in compressed sensing. … The book can be highly recommended for teaching purposes, and the homework problems are really excellent. As an encyclopedia the book is very comprehensive and offers detailed proofs and discussions. … It is expected that this book will become a classical reference source in the field.” (Anders C. Hansen, Mathematical Reviews, November, 2014)

Table of contents (15 chapters)

  • An Invitation to Compressive Sensing

    Foucart, Simon (et al.)

    Pages 1-39

    Preview Buy Chapter 24,95 €
  • Sparse Solutions of Underdetermined Systems

    Foucart, Simon (et al.)

    Pages 41-59

    Preview Buy Chapter 24,95 €
  • Basic Algorithms

    Foucart, Simon (et al.)

    Pages 61-75

    Preview Buy Chapter 24,95 €
  • Basis Pursuit

    Foucart, Simon (et al.)

    Pages 77-110

    Preview Buy Chapter 24,95 €
  • Coherence

    Foucart, Simon (et al.)

    Pages 111-131

    Preview Buy Chapter 24,95 €

Buy this book

eBook 59,49 €
price for India (gross)
  • ISBN 978-0-8176-4948-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 69,99 €
price for India (gross)
  • ISBN 978-0-8176-4947-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover 69,99 €
price for India (gross)
  • ISBN 978-1-4939-0063-3
  • 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
A Mathematical Introduction to Compressive Sensing
Authors
Series Title
Applied and Numerical Harmonic Analysis
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-0-8176-4948-7
DOI
10.1007/978-0-8176-4948-7
Hardcover ISBN
978-0-8176-4947-0
Softcover ISBN
978-1-4939-0063-3
Series ISSN
2296-5009
Edition Number
1
Number of Pages
XVIII, 625
Topics