Polynomials

By: E.J. Barbeau

Write A Review

Paperback | 1 January 1989

At a Glance

Paperback
484 Pages

Dimensions(cm)
22.86 x 15.24 x 3.18

Paperback

$169.00

or 4 interest-free payments of $42.25 with

or

Ships in 5 to 7 business days

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.

Industry Reviews

E.J. Barbeau Polynomials "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

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

More in Algebra

Modal Semirings and Applications

Trends in Logic

Hardcover

$290.75

$Six Math Essentials - Terence Tao$

$Basic Math & Pre-Algebra For Dummies Book + Workbook Bundle : For Dummies Math & Science - Mark Zegarelli$

Basic Math & Pre-Algebra For Dummies Book + Workbook Bundle

For Dummies Math & Science

Paperback

RRP $65.95

$49.75

25%
OFF

Simply Maths

DK Simply

Hardcover

RRP $24.99

$21.75

13%
OFF

Essential Calculus

2nd Edition

Hardcover

RRP $219.95

$173.75

21%
OFF

Algebra II For Dummies

2nd edition

Paperback

RRP $41.95

$33.75

20%
OFF

Elementary Linear Algebra

8th Edition - International Metric Edition

Paperback

RRP $162.95

$126.75

22%
OFF

Linear Algebra: A Modern Introduction

4th Edition

Hardcover

RRP $189.95

$152.75

20%
OFF

Linear Algebra and Its Applications

6th Global Edition

Paperback

RRP $161.65

$124.75

23%
OFF

Algebra I Workbook For Dummies with Online Practice

Paperback

RRP $41.95

$40.99

Cartoon Guide to Calculus

Cartoon Guide Series

Paperback

RRP $31.89

$29.75

The Maths Book

Big Ideas Simply Explained

Hardcover

RRP $45.00

$35.75

21%
OFF

An Introduction to Systems Biology

Design Principles of Biological Circuits

Paperback

RRP $133.00

$110.75

17%
OFF

Kumon Grades 6-8 Algebra

Algebra

Paperback

RRP $24.99

$18.99

24%
OFF

Algebra I For Dummies Book + Workbook Bundle

For Dummies

Paperback

RRP $65.95

$45.75

31%
OFF

Mathematics Through Play in the Early Years - Kate Tucker

$42.75

Preface
Acknowledgment of Problem Sources
Fundamentals	p. 1
The Anatomy of a Polynomial of a Single Variable	p. 1
Quadratic Polynomials	p. 9
Complex Numbers	p. 14
Equations of Low Degree	p. 18
Polynomials of Several Variables	p. 25
Basic Number Theory and Modular Arithmetic	p. 31
Rings and Fields	p. 38
Problems on Quadratics	p. 40
Other Problems	p. 43
Evaluation, Division, and Expansion	p. 50
Horner's Method	p. 50
Division of Polynomials	p. 57
The Derivative	p. 66
Graphing Polynomials	p. 74
Problems	p. 78
Factors and Zeros	p. 83
Irreducible Polynomials	p. 83
Strategies for Factoring Polynomials over Z	p. 87
Finding Integer and Rational Roots: Newton's Method of Divisors	p. 93
Locating Integer Roots: Modular Arithmetic	p. 98
Roots of Unity	p. 104
Rational Functions	p. 110
Problems on Factorization	p. 114
Other Problems	p. 117
Equations	p. 125
Simultaneous Equations in Two or Three Unknowns	p. 125
Surd Equations	p. 128
Solving Special Polynomial Equations	p. 130
The Fundamental Theorem of Algebra: Intersecting Curves	p. 142
The Fundamental Theorem: Functions of a Complex Variable	p. 146
Consequences of the Fundamental Theorem	p. 150
Problems on Equations in One Variable	p. 154
Problems on Systems of Equations	p. 155
Other Problems	p. 159
Approximation and Location of Zeros	p. 163
Approximation of Roots	p. 163
Tests for Real Zeros	p. 174
Location of Complex Roots	p. 183
Problems	p. 190
Symmetric Functions of the Zeros	p. 198
Interpreting the Coefficients of a Polynomial	p. 198
The Discriminant	p. 201
Sums of the Powers of the Roots	p. 202
Problems	p. 205
Approximations and Inequalities	p. 210
Interpolation and Extrapolation	p. 210
Approximation on an Interval	p. 218
Inequalities	p. 225
Problems on Inequalities	p. 230
Other Problems	p. 231
Miscellaneous Problems	p. 236
Answers to Exercises and Solutions to Problems	p. 250
Notes on Explorations	p. 403
Glossary	p. 427
Further Reading	p. 430
Index	p. 449
Table of Contents provided by Blackwell. All Rights Reserved.

Polynomials

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Algebra

Modal Semirings and Applications

Trends in Logic

Six Math Essentials

Textbook of Algebra

Fundamentals of Algebra

Linear Algebra

Basic Math & Pre-Algebra For Dummies Book + Workbook Bundle

For Dummies Math & Science

Simply Maths

DK Simply

Essential Calculus

2nd Edition

Algebra II For Dummies

2nd edition

Elementary Linear Algebra

8th Edition - International Metric Edition

Linear Algebra: A Modern Introduction

4th Edition

Linear Algebra and Its Applications

6th Global Edition

Algebra I Workbook For Dummies with Online Practice

Cartoon Guide to Calculus

Cartoon Guide Series

The Maths Book

Big Ideas Simply Explained

An Introduction to Systems Biology

Design Principles of Biological Circuits

Kumon Grades 6-8 Algebra

Algebra

Algebra I For Dummies Book + Workbook Bundle

For Dummies

Mathematics Through Play in the Early Years

Regents Exams and Answers

Algebra I, Fifth Edition, (Barron's New York Regents)

Let's Review Regents

Algebra I, Fifth Edition (Barron's New York Regents)

K-Theory and Characteristic Classes

A Homotopical Perspective

The Linear Function and Euclidean Geometry

Synthesis Lectures on Mathematics & Statistics

Subquasivariety Lattices in Languages with Equality

SpringerBriefs in Mathematics

This product is categorised by