# A Mathematical Introduction to Compressive Sensing

## Foucart, Simon; Rauhut, Holger

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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.

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Book Description:

From the book reviews:

“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)

Contenuti:

1 An Invitation to Compressive Sensing.- 2 Sparse Solutions of Underdetermined Systems.- 3 Basic Algorithms.- 4 Basis Pursuit.- 5 Coherence.- 6 Restricted Isometry Property.- 7 Basic Tools from Probability Theory.- 8 Advanced Tools from Probability Theory.- 9 Sparse Recovery with Random Matrices.- 10 Gelfand Widths of l1-Balls.- 11 Instance Optimality and Quotient Property.- 12 Random Sampling in Bounded Orthonormal Systems.- 13 Lossless Expanders in Compressive Sensing.- 14 Recovery of Random Signals using Deterministic Matrices.- 15 Algorithms for l1-Minimization.- Appendix A Matrix Analysis.- Appendix B Convex Analysis.- Appendix C Miscellanea.- List of Symbols.- References

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## 1.A Mathematical Introduction to Compressive Sensing (Applied and Numerical Harmonic Analysis)

Editore: Birkhauser 2013-08-08 (2013)
ISBN 10: 0817649476 ISBN 13: 9780817649470
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Descrizione libro Birkhauser 2013-08-08, 2013. Condizione libro: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Codice libro della libreria NU-GRD-05377285

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## 2.A Mathematical Introduction to Compressive Sensing

Editore: Birkhauser Boston Inc 2013-08-08, Secaucus (2013)
ISBN 10: 0817649476 ISBN 13: 9780817649470
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Descrizione libro Birkhauser Boston Inc 2013-08-08, Secaucus, 2013. hardback. Condizione libro: New. Codice libro della libreria 9780817649470

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## 3.A Mathematical Introduction to Compressive Sensing (Applied and Numerical Harmonic Analysis)

ISBN 10: 0817649476 ISBN 13: 9780817649470
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Descrizione libro Condizione libro: New. Brand New books on affordable price.Shipping method: Standard & Expedite, Standard takes 7-8 and Expedited takes 4-6 working days. Due to the constantly changing USPS regulations regarding shipments to APO/FPO addresses we are not currently shipping. Codice libro della libreria 0817649476-P07

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## 4.A Mathematical Introduction to Compressive Sensing (Hardback)

Editore: BIRKHAUSER BOSTON INC, United States (2013)
ISBN 10: 0817649476 ISBN 13: 9780817649470
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Descrizione libro BIRKHAUSER BOSTON INC, United States, 2013. Hardback. Condizione libro: New. 242 x 166 mm. Language: English . Brand New Book. 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. Codice libro della libreria AAZ9780817649470

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## 5.A Mathematical Introduction to Compressive Sensing

Editore: Birkhauser Boston Inc (2013)
ISBN 10: 0817649476 ISBN 13: 9780817649470
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Descrizione libro Birkhauser Boston Inc, 2013. HRD. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria GB-9780817649470

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## 6.A Mathematical Introduction to Compressive Sensing

Editore: Birkhauser Boston Inc
ISBN 10: 0817649476 ISBN 13: 9780817649470
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Descrizione libro Birkhauser Boston Inc. Hardback. Condizione libro: new. BRAND NEW, A Mathematical Introduction to Compressive Sensing, Simon Foucart, Holger Rauhut, 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. Codice libro della libreria B9780817649470

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## 7.A Mathematical Introduction to Compressive Sensing (Hardback)

Editore: BIRKHAUSER BOSTON INC, United States (2013)
ISBN 10: 0817649476 ISBN 13: 9780817649470
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Descrizione libro BIRKHAUSER BOSTON INC, United States, 2013. Hardback. Condizione libro: New. 242 x 166 mm. Language: English . Brand New Book. 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. Codice libro della libreria AAZ9780817649470

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## 8.A Mathematical Introduction to Compressive Sensing (Applied and Numerical Harmonic Analysis)

Editore: Birkhäuser (2013)
ISBN 10: 0817649476 ISBN 13: 9780817649470
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Descrizione libro Birkh&auml;user, 2013. Condizione libro: New. book. Codice libro della libreria ria9780817649470_rkm

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## 9.A Mathematical Introduction to Compressive Sensing (Applied and Numerical Harmonic Analysis)

Editore: Birkh?user (2013)
ISBN 10: 0817649476 ISBN 13: 9780817649470
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Descrizione libro Birkh?user, 2013. Condizione libro: New. This book introduces and explains the essential theory of compressive sensing from a mathematical perspective, offering a substantial collection of exercises with hints to solutions, along with MATLAB codes for algorithms and simulations. Series: Applied and Numerical Harmonic Analysis. Num Pages: 625 pages, 13 black & white illustrations, biography. BIC Classification: PBKF; PDE; TJK; TTBM; UYAM. Category: (P) Professional & Vocational. Dimension: 241 x 162 x 39. Weight in Grams: 1088. . 2013. 2013th Edition. Hardcover. . . . . . Codice libro della libreria V9780817649470

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## 10.A Mathematical Introduction to Compressive Sensing (Applied and Numerical Harmonic Analysis)

Editore: BirkhÃ¤user (2013)
ISBN 10: 0817649476 ISBN 13: 9780817649470
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