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Polynomials

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Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This book provides a backdrop for study in calculus, modern algebra, numerical analysis and complex variable theory, through examples. Includes some 300 problems drawn from journals, contests, and examinations to test understanding, ingenuity, and skill.

Table of 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.

Product Details

ISBN:
9780387406275
Author:
Barbeau, Edward J.
Publisher:
Springer
Author:
Barbeau, E.J.
Location:
New York, NY
Subject:
Mathematical Analysis
Subject:
Analysis
Subject:
Mathematics-Analysis General
Subject:
Algebra
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Global analysis (Mathematics)
Copyright:
Edition Description:
1st ed. 1989. 3rd printing
Series:
Problem Books in Mathematics
Publication Date:
20031009
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
477
Dimensions:
235 x 155 mm 719 gr

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Related Subjects

Health and Self-Help » Health and Medicine » Medical Specialties
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Algebra » Other
Science and Mathematics » Mathematics » Analysis General

Polynomials New Trade Paper
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Product details 477 pages Springer-Verlag - English 9780387406275 Reviews:
"Synopsis" by , This book provides a backdrop for study in calculus, modern algebra, numerical analysis and complex variable theory, through examples. Includes some 300 problems drawn from journals, contests, and examinations to test understanding, ingenuity, and skill.
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