Kolman / Shapiro College Algebra

2. Auflage 2014
ISBN: 978-1-4832-7777-6
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 488 Seiten, Web PDF

College Algebra, Second Edition is a comprehensive presentation of the fundamental concepts and techniques of algebra. The book incorporates some improvements from the previous edition to provide a better learning experience. It provides sufficient materials for use in the study of college algebra. It contains chapters that are devoted to various mathematical concepts, such as the real number system, the theory of polynomial equations, exponential and logarithmic functions, and the geometric definition of each conic section. Progress checks, warnings, and features are inserted. Every chapter contains a summary, including terms and symbols with appropriate page references; key ideas for review to stress the concepts; review exercises to provide additional practice; and progress tests to provide self-evaluation and reinforcement. The answers to all Review Exercises and Progress Tests appear in the back of the book. College students will find the book very useful and invaluable.

Autoren/Hrsg.

Kolman, Bernard

Shapiro, Arnold

Inhaltsverzeichnis

1;Front Cover;1
2;College Algebra;4
3;Copyright Page;5
4;Table of Contents;6
5;PREFACE;10
6;ACKNOWLEDGMENTS;12
7;TO THE STUDENT;14
8;CHAPTER 1. THE FOUNDATIONS OF ALGEBRA;18
8.1;1.1 THE REAL NUMBER SYSTEM;18
8.2;1.2 THE REAL NUMBER LINE;27
8.3;13 ALGEBRAIC EXPRESSIONS; POLYNOMIALS;32
8.4;1.4 FACTORING;40
8.5;1.5 RATIONAL EXPRESSIONS;48
8.6;1.6 INTEGER EXPONENTS;55
8.7;1.7 RATIONAL EXPONENTS AND RADICALS;59
8.8;1.8 COMPLEX NUMBERS;69
9;CHAPTER 2. EQUATIONS AND INEQUALITIES;78
9.1;2.1 LINEAR EQUATIONS IN ONE UNKNOWN;78
9.2;2.2 APPLICATIONS;84
9.3;2.3 LINEAR INEQUALITIES;94
9.4;2.4 ABSOLUTE VALUE INEQUATIONS AND INEQUALITIES;100
9.5;2.5 THE QUADRATIC EQUATION;104
9.6;2.6 APPLICATIONS OF QUADRATIC EQUATIONS;117
9.7;2.7 SECOND-DEGREE INEQUALITIES;121
10;CHAPTER 3. FUNCTIONS;130
10.1;3.1 THE RECTANGULAR COORDINATE SYSTEM;131
10.2;3.2 FUNCTIONS AND FUNCTION NOTATION;141
10.3;3.3 GRAPHS OF FUNCTIONS;147
10.4;3.4 LINEAR FUNCTIONS;157
10.5;3.5 DIRECT AND INVERSEVARIATION (Optional);168
10.6;5.6 COMBINING FUNCTIONS; INVERSE FUNCTIONS;173
11;CHAPTER 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS;188
11.1;4.1 EXPONENTIAL FUNCTIONS;188
11.2;4.2 LOGARITHMIC FUNCTIONS;200
11.3;4.3 FUNDAMENTAL PROPERTIES OF LOGARITHMS;208
11.4;4.4 COMPUTING WITH LOGARITHMS (Optional);215
11.5;4.5 EXPONENTIAL AND LOGARITHMIC EQUATIONS;221
12;CHAPTER 5. ANALYTIC GEOMETRY: THE CONIC SECTIONS;230
12.1;5.1 ANALYTIC GEOMETRY;230
12.2;5.2 THE CIRCLE;234
12.3;5.3 THE PARABOLA;239
12.4;5.4 THE ELLIPSE AND HYPERBOLA;247
12.5;5.5 IDENTIFYING THE CONIC SECTIONS;255
13;CHAPTER 6. SYSTEMS OF EQUATIONS AND INEQUALITIES;262
13.1;6.1 SYSTEMS OF EQUATIONS;262
13.2;6.2 SOLVING BY ELIMINATION;267
13.3;6.3 APPLICATIONS;270
13.4;6.4 SYSTEMS OF LINEARE QUATIONS IN THREE UNKNOWNS;278
13.5;6.5 SYSTEMS OF LINEAR INEQUALITIES;283
13.6;6.6 LINEAR PROGRAMMING (Optional);292
14;CHAPTER 7. MATRICES AND DETERMINANTS;302
14.1;7.1 MATRICES AND LINEAR SYSTEMS;302
14.2;7.2 MATRIX OPERATIONS AND APPLICATIONS (Optional);311
14.3;7.3 INVERSES OF MATRICES (Optional);320
14.4;7.4 DETERMINANTS AND CRAMER'S RULE;330
15;CHAPTER 8. THEORY OF POLYNOMIALS;346
15.1;8.1 POLYNOMIAL DIVISION AND SYNTHETIC DIVISION;347
15.2;8.2 THE REMAINDER AND FACTOR THEOREMS;351
15.3;8.3 FACTORS AND ZEROS;356
15.4;8.4 REAL AND RATIONAL ZEROS;367
15.5;8.5 RATIONAL FUNCTIONS AND THEIR GRAPHS;376
16;CHAPTER 9. TOPICS IN ALGEBRA;390
16.1;9.1 SEQUENCES AND SIGMA NOTATION;391
16.2;9.2 ARITHMETIC SEQUENCES;399
16.3;9.3 GEOMETRIC SEQUENCES;405
16.4;9.4 MATHEMATICAL INDUCTION;414
16.5;9.5 THE BINOMIALTHEOREM;418
16.6;9.6 COUNTING: PERMUTATIONS AND COMBINATIONS;424
16.7;9.7 PROBABILITY;433
17;TABLES APPENDIX;446
18;ANSWERS TO ODD-NUMBERED EXERCISES, AND TO REVIEW EXERCISES AND PROGRESS TESTS;454
19;SOLUTIONS TO SELECTED REVIEW EXERCISES;494
20;INDEX;506