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Polynomials and Polynomial Inequalities (Paperback, Softcover reprint of the original 1st ed. 1995)
Loot Price: R1,580
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Polynomials and Polynomial Inequalities (Paperback, Softcover reprint of the original 1st ed. 1995)
Series: Graduate Texts in Mathematics, 161
Expected to ship within 10 - 15 working days
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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 Muntz
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."
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