Happy Holidays! Over 120,000 eBooks at just 19.99 each— Pick a favorite today

Graduate Texts in Mathematics

Polynomials and Polynomial Inequalities

Authors: Borwein, Peter, Erdelyi, Tamas

Buy this book

eBook 52,99 €
price for Spain (gross)
  • ISBN 978-1-4612-0793-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 65,47 €
price for Spain (gross)
  • ISBN 978-0-387-94509-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 65,47 €
price for Spain (gross)
  • ISBN 978-1-4612-6902-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

Polynomials pervade mathematics, virtually every branch of mathematics from algebraic number theory and algebraic geometry to applied analysis and computer science, has a corpus of theory arising from polynomials. The material explored in this book primarily concerns polynomials as they arise in analysis; it focuses on polynomials and rational functions of a single variable. The book is self-contained and assumes at most a senior-undergraduate familiarity with real and complex analysis.
After an introduction to the geometry of polynomials and a discussion of refinements of the Fundamental Theorem of Algebra, the book turns to a consideration of various special polynomials. Chebyshev and Descartes systems are then introduced, and Müntz systems and rational systems are examined in detail. Subsequent chapters discuss denseness questions and the inequalities satisfied by polynomials and rational functions. Appendices on algorithms and computational concerns, on the interpolation theorem, and on orthogonality and irrationality conclude the book.

Reviews

"This is a wonderful book which is strongly recommended for use in a class with students who are willing to work on the proofs, rather than to digest fully prepared and worked out proofs and examples." Jnl of Approximation Theory

Table of contents (7 chapters)

  • Introduction and Basic Properties

    Borwein, Peter (et al.)

    Pages 1-28

    Preview Buy Chapter 30,19 €
  • Some Special Polynomials

    Borwein, Peter (et al.)

    Pages 29-90

    Preview Buy Chapter 30,19 €
  • Chebyshev and Descartes Systems

    Borwein, Peter (et al.)

    Pages 91-153

    Preview Buy Chapter 30,19 €
  • Denseness Questions

    Borwein, Peter (et al.)

    Pages 154-226

    Preview Buy Chapter 30,19 €
  • Basic Inequalities

    Borwein, Peter (et al.)

    Pages 227-274

    Preview Buy Chapter 30,19 €

Buy this book

eBook 52,99 €
price for Spain (gross)
  • ISBN 978-1-4612-0793-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 65,47 €
price for Spain (gross)
  • ISBN 978-0-387-94509-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 65,47 €
price for Spain (gross)
  • ISBN 978-1-4612-6902-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Polynomials and Polynomial Inequalities
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
161
Copyright
1995
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York, Inc.
eBook ISBN
978-1-4612-0793-1
DOI
10.1007/978-1-4612-0793-1
Hardcover ISBN
978-0-387-94509-5
Softcover ISBN
978-1-4612-6902-1
Series ISSN
0072-5285
Edition Number
1
Number of Pages
X, 480
Topics