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1 - BASIC ALGEBRA
Pages 1-48 - Book chapterAbstract only
2 - EQUATIONS AND INEQUALITIES
Pages 49-88 - Book chapterAbstract only
3 - FUNCTIONS AND GRAPHS
Pages 89-122 - Book chapterAbstract only
4 - POLYNOMIAL AND RATIONAL FUNCTIONS
Pages 123-148 - Book chapterAbstract only
5 - EXPONENTIALS AND LOGARITHMS
Pages 149-192 - Book chapterAbstract only
6 - TOPICS IN ALGEBRA
Pages 193-228 - Book chapterAbstract only
7 - COMPLEX NUMBERS
Pages 229-248 - Book chapterAbstract only
8 - DISCRETE ALGEBRA
Pages 249-274 - Book chapterNo access
ANSWERS TO ODD-NUMBERED EXERCISES
Pages 275-298 - Book chapterNo access
TABLES
Pages 299-305 - Book chapterNo access
INDEX
Pages 307-310
About the book
Description
Algebra presents the essentials of algebra 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, together with exponentials and logarithms. Comprised of eight 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 of algebra: polynomial, rational, exponential, and logarithm. The book concludes with a review of sequences, permutations and combinations, and the binomial theorem, as well as summation and mathematical induction. This monograph will be a useful resource for undergraduate students of mathematics and algebra.
Algebra presents the essentials of algebra 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, together with exponentials and logarithms. Comprised of eight 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 of algebra: polynomial, rational, exponential, and logarithm. The book concludes with a review of sequences, permutations and combinations, and the binomial theorem, as well as summation and mathematical induction. This monograph will be a useful resource for undergraduate students of mathematics and algebra.
Details
ISBN
978-0-12-259666-7
Language
English
Published
1975
Copyright
Copyright © 1975 Elsevier Inc. All rights reserved.
Imprint
Academic Press