BARBEAU POLYNOMIALS PDF

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition. One face is a set of enrichment materials for bright high school students. The other face is a fairly comprehensive textbook on algebraic properties of polynomials. Looking on its enrichment face, the book does very little exposition but guides the student to discovery through problem sequences. The problems are graded by difficulty and maturity level, with the more routine ones that make up most of the book being labeled Exercises.

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The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition. One face is a set of enrichment materials for bright high school students.

The other face is a fairly comprehensive textbook on algebraic properties of polynomials. Looking on its enrichment face, the book does very little exposition but guides the student to discovery through problem sequences. The problems are graded by difficulty and maturity level, with the more routine ones that make up most of the book being labeled Exercises.

The more difficult problems taken from a variety of sources, including the Putnam competition and the problem sections of several magazines are labeled Problems.

Finally some open-ended investigations are labeled Explorations. Solutions usually brief are given for all Exercises and Problems, and hints and references are given for the Explorations. In the topic of isolation of real zeroes it covers not only the familiar Descartes Rule of Signs but also the more sensitive Fourier—Budan and Sturm tests, and it shows ways of bounding the absolute value of complex roots.

The book is weak on analytic properties of polynomials, and has nothing about orthogonal polynomials, but does cover numerical approximation to roots and has a chapter on inequalities and approximation by polynomials.

The present book is an excellent introduction to the subject for anyone, from high schooler to professional. Allen Stenger is a math hobbyist and retired software developer. His mathematical interests are number theory and classical analysis.

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Polynomials

It seems that you're in Germany. We have a dedicated site for Germany. The book extends the high school curriculum and provides a backdrop for later study in calculus, modern algebra, numerical analysis, and complex variable theory. Exercises introduce many techniques and topics in the theory of equations, such as evolution and factorization of polynomials, solution of equations, interpolation, approximation, and congruences.

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By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. MathOverflow is a question and answer site for professional mathematicians. It only takes a minute to sign up. Hi,have you a good reference books for the study of polynomials with one variable or many variables?

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Would you like to tell us about a lower price? If you are a seller for this product, would you like to suggest updates through seller support? The book extends the high school curriculum and provides a backdrop for later study in calculus, modern algebra, numerical analysis, and complex variable theory. Exercises introduce many techniques and topics in the theory of equations, such as evolution and factorization of polynomials, solution of equations, interpolation, approximation, and congruences. The theory is not treated formally, but rather illustrated through examples. Over problems drawn from journals, contests, and examinations test understanding, ingenuity, and skill. Each chapter ends with a list of hints; there are answers to many of the exercises and solutions to all of the problems.

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