Algebra and Trigonometry - 1st Edition - ISBN: 9780122596650, 9781483271040

Algebra and Trigonometry

1st Edition

Authors: Harley Flanders Justin J. Price
eBook ISBN: 9781483271040
Imprint: Academic Press
Published Date: 1st January 1975
Page Count: 442
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Description

Algebra and Trigonometry presents the essentials of algebra and trigonometry with some applications. The emphasis is on practical skills, problem solving, and computational techniques. Topics covered range from equations and inequalities to functions and graphs, polynomial and rational functions, and exponentials and logarithms. Trigonometric functions and complex numbers are also considered.

Comprised of 11 chapters, this book begins with a discussion on the fundamentals of algebra, each topic explained, illustrated, and accompanied by an ample set of exercises. The proper use of algebraic notation and practical manipulative skills such as factoring, using exponents and radicals, and simplifying rational expressions is highlighted, along with the most common mistakes in algebra. The reader is then introduced to the solution of linear, quadratic, and other types of equations and systems of equations, as well as the solution of inequalities. Subsequent chapters deal with the most basic functions: polynomial, rational, exponential, logarithm, and trigonometric. Trigonometry and the inverse trigonometric functions and identities are also presented. The book concludes with a review of progressions, permutations, combinations, and the binomial theorem.

This monograph will be a useful resource for undergraduate students of mathematics and algebra.

Table of Contents


Preface


1 Basic Algebra


1. The Nature of Algebra


2. Algebraic Notation


3. The Rules of Algebra


4. Integers and Rationals


5. Integral Exponents


6. Roots and Radicals


7. Rational Exponents


8. Polynomials


9. Polynomials in Several Variables


10. Factoring


11. Rational Expressions


12. Common Errors in Algebra


Tests


2 Equations and Inequalities


1. Equations and Identities


2. Linear Equations


3. Quadratic Equations


4. Other Types of Equations


5. Applications


6. Order


7. Absolute Values


8. Inequalities


Tests


3 Functions and Graphs


1. Introduction


2. Coordinates in the Plane


3. Functions


4. Construction of Functions


5. Linear Functions


6. Quadratic Functions


7. Tips on Graphing


Tests


4 Polynomial and Rational Functions


1. Introduction


2. Graphs of Polynomials


3. Graphs of Factored Polynomials


4. Rational Functions


5. Graphs of Rational Functions


6. Factored Rational Functions


Tests


5 Exponentials and Logarithms


1. Exponential Functions


2. Logarithm Functions


3. Power Functions


4. Accuracy and Round-Off


5. Tables and Interpolation


6. Computations with Logarithms (Optional)


7. Computations with a Small Calculator (Optional)


8. Applications


9. Business Applications (Optional)


Tests


6 Trigonometric Functions


1. Introduction


2. Distances and Angles<

Details

No. of pages:
442
Language:
English
Copyright:
© Academic Press 1975
Published:
Imprint:
Academic Press
eBook ISBN:
9781483271040

About the Author

Harley Flanders

Affiliations and Expertise

Purdue University Lafayette, Indiana

Justin J. Price

Ratings and Reviews