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Polynomials

By: Edward BarbeauMaterial type: Text

TextSeries: Problem Books in MathematicsPublication details: New York: Springer- Verlag, [c1989]Description: 455 pISBN: 9780387406275Subject(s): MathematicsLOC classification: QA281

Contents:

Ch 1- Fundamentals Ch 2- Evaluation, Division, and Expansion Ch 3- Factors and Zeros Ch 4- Equations Ch 5- Approximation and Location of Zeros Ch 6- Symmetric Functions of the Zeros Ch 7- Approximations and Inequalities Ch 8- Misc. Problems

Summary: 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 300 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. In addition, 69 "explorations" invite the reader to investigate research problems and related topics. --- summary provided by publisher

List(s) this item appears in: Gift Books

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Item type	Current library	Collection	Shelving location	Call number	Status	Date due	Barcode	Item holds
Book	ICTS	Mathematics	Rack No 5	QA281 (Browse shelf (Opens below))	Available		02530

Total holds: 0

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Previous	QA279.5 Bayesian Filtering and Smoothing	QA280 Time series : data analysis and theory	QA280 Introduction to time series analysis	QA281 Polynomials	QA295 Divergent series, summability and resurgence : I,. Monodromy and resurgence	QA295 Divergent series, summability and resurgence : III. Resurgent methods and the first Painlevé equation	QA295 Divergent Series, Summability and Resurgence : II,. Simple and Multiple summability	Next

Ch 1- Fundamentals
Ch 2- Evaluation, Division, and Expansion
Ch 3- Factors and Zeros
Ch 4- Equations
Ch 5- Approximation and Location of Zeros
Ch 6- Symmetric Functions of the Zeros
Ch 7- Approximations and Inequalities
Ch 8- Misc. Problems

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 300 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. In addition, 69 "explorations" invite the reader to investigate research problems and related topics. --- summary provided by publisher

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