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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.
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From the reviews:
"This book uses the medium of problems to enable us, the readers, to educate ourselves in matters polynomial. In each section we are led, after a brief introduction, into a sequence of problems on a certain topic. If we do these successfully, we find that we have mastered the basics of the topic. If we have any difficulties, we can refer first to the hints, and, failing these, to the detailed solutions. These form an important and substantial part of the book, and often refer the reader on to the research literature. The book, like good literature, can be read successfully at different levels, and would not be out of place in any mathematician's library."―MATHEMATICAL REVIEWS
“This is a two-faced book, and that’s a good thing. 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. ... The present book is an excellent introduction to the subject for anyone, from high schooler to professional.” (Allen Stenger, The Mathematical Association of America, August, 2011)Contenuti:
Contents: Fundamentals.- Evaluation, Division, and Expansion.- Factors and Zeros.- Equations.- Approximation and Location of Zeros.- Symmetric Functions of the Zeros.- Approximations and Inequalities.- Miscellaneous Problems.- Answers to Exercises and Solutions to Problems.- Notes on Explorations.- Glossary.- Further Reading.- Index.
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Descrizione libro Springer, 2003. Hardcover. Condizione: Fine. 1st ed. 1989. Corr. 2nd printing. *Price HAS BEEN REDUCED by 10% until Monday, March 1 (sale item)* 455 pp., Hardcover, faint wear to spine ends else fine. Codice articolo ZB1199233
Descrizione libro Springer, 2003. Hardcover. Condizione: Good. 1st ed. 1989. Corr. 2nd printing. A+ Customer service! Satisfaction Guaranteed! Book is in Used-Good condition. Pages and cover are clean and intact. Used items may not include supplementary materials such as CDs or access codes. May show signs of minor shelf wear and contain limited notes and highlighting. Codice articolo 0387969195-2-4
Descrizione libro Springer, 2003. Hardcover. Condizione: Good. 1st ed. 1989. Corr. 2nd printing. Codice articolo SONG0387969195
Descrizione libro New York (u.a.): Springer, 1989. gebundene Ausgabe. 1st ed. 1989. Corr. 2nd printing. Zust: Gutes Exemplar. XXII, 477 S. Englisch 786g. Codice articolo 488502