Polynomials

By: Edward BarbeauMaterial type: TextTextSeries: 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 Book ICTS
Mathematics Rack No 5 QA281 (Browse shelf (Opens below)) Available 02530
Total holds: 0

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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