Developments in Mathematics
cover

Certificates of Positivity for Real Polynomials

Theory, Practice, and Applications

Authors: Powers, Victoria

  • Includes extensive background information for increased accessibility
  • Contains discussion of computational and algorithmic aspects of the subject
  • Features an extensive bibliography
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eBook 85,59 €
price for Spain (gross)
  • Due: November 25, 2021
  • ISBN 978-3-030-85547-5
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 103,99 €
price for Spain (gross)
  • Due: November 25, 2021
  • ISBN 978-3-030-85546-8
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About this book

This book collects and explains the many theorems concerning the existence of certificates of positivity for polynomials that are positive globally or on semialgebraic sets. A certificate of positivity for a real polynomial is an algebraic identity that gives an immediate proof of a positivity condition for the polynomial. Certificates of positivity have their roots in fundamental work of David Hilbert from the late 19th century on positive polynomials and sums of squares. Because of the numerous applications of certificates of positivity in mathematics, applied mathematics, engineering, and other fields, it is desirable to have methods for finding, describing, and characterizing them. For many of the topics covered in this book, appropriate algorithms, computational methods, and applications are discussed.

This volume contains a comprehensive, accessible, up-to-date treatment of certificates of positivity, written by an expert in the field. It provides an overview of both the theory and computational aspects of the subject, and includes many of the recent and exciting developments in the area. Background information is given so that beginning graduate students and researchers who are not specialists can learn about this fascinating subject. Furthermore, researchers who work on certificates of positivity or use them in applications will find this a useful reference for their work.

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Buy this book

eBook 85,59 €
price for Spain (gross)
  • Due: November 25, 2021
  • ISBN 978-3-030-85547-5
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 103,99 €
price for Spain (gross)
  • Due: November 25, 2021
  • ISBN 978-3-030-85546-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Certificates of Positivity for Real Polynomials
Book Subtitle
Theory, Practice, and Applications
Authors
Series Title
Developments in Mathematics
Series Volume
69
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-85547-5
DOI
10.1007/978-3-030-85547-5
Hardcover ISBN
978-3-030-85546-8
Series ISSN
1389-2177
Edition Number
1
Number of Pages
XI, 156
Number of Illustrations
14 b/w illustrations
Topics