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Polynomials And Polynomial Inequalities

Author : Peter Borwein
ISBN : 9781461207931
Genre : Mathematics
File Size : 57.90 MB
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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 round off the text. The book is self-contained and assumes at most a senior-undergraduate familiarity with real and complex analysis.
Category: Mathematics

Advances In Applied Mathematics And Approximation Theory

Author : George A. Anastassiou
ISBN : 9781461463931
Genre : Mathematics
File Size : 45.3 MB
Format : PDF, Kindle
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Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012 is a collection of the best articles presented at “Applied Mathematics and Approximation Theory 2012,” an international conference held in Ankara, Turkey, May 17-20, 2012. This volume brings together key work from authors in the field covering topics such as ODEs, PDEs, difference equations, applied analysis, computational analysis, signal theory, positive operators, statistical approximation, fuzzy approximation, fractional analysis, semigroups, inequalities, special functions and summability. The collection will be a useful resource for researchers in applied mathematics, engineering and statistics.​
Category: Mathematics

Number Theory And Polynomials

Author : Chris Smyth
ISBN : 9780521714679
Genre : Mathematics
File Size : 49.19 MB
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Contributions by leading experts in the field provide a snapshot of current progress in polynomials and number theory.
Category: Mathematics


Author :
ISBN : 9783642040122
Genre : Polynomials
File Size : 70.8 MB
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Category: Polynomials


Author : Victor V. Prasolov
ISBN : 9783642039805
Genre : Mathematics
File Size : 33.43 MB
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Covers its topic in greater depth than the typical standard books on polynomial algebra
Category: Mathematics

Irresistible Integrals

Author : George Boros
ISBN : 0521796369
Genre : Mathematics
File Size : 81.67 MB
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The problem of evaluating integrals is well known to every student who has had a year of calculus. It was an especially important subject in nineteenth century analysis and it has now been revived with the appearance of symbolic languages. The authors use the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics. The questions discussed are as old as calculus itself. In presenting the combination of methods required for the evaluation of most integrals, the authors take the most interesting-rather than the shortest-path to the results. They illuminate connections with many subjects, including analysis, number theory, algebra and combinatorics. This is a guided tour of exciting discovery for undergraduates and their teachers in mathematics, computer science, physics, and engineering.
Category: Mathematics

Mathematical Reviews

Author :
ISBN : UVA:X006195258
Genre : Mathematics
File Size : 69.52 MB
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Category: Mathematics