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0 (hodnocen0 x )

BK

Reading : Addison-Wesley, 1990

ISBN 0-201-09164-X

000014524

Rekat.

Contents // 1 // BASIC CONCEPTS OF ALGEBRA // 1.1 The Real-Number System 2 // 1.2 Exponential, Scientific, and Absolute-Value Notation 11 // 1.3 Addition and Subtraction of Algebraic Expressions 17 // 1.4 Multiplication of Algebraic Expressions 21 // 1.5 The Binomial Theorem 24 // 1.6 Factoring 32 // 1.7 Fractional Expressions 36 // 1.8 Radical Notation 43 // 1.9 Rational Exponents 52 Summary and Review 55 Test 57 // 1 // 2 // EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING // 2.1 Solving Equations and Inequalities 60 // 2.2 Fractional Equations 64 // 2.3 Formulas and Problem Solving 69 // 2.4 The Complex Numbers 80 // 2.5 Quadratic Equations 88 // 2.6 Formulas and Problem Solving 96 // 2.7 Radical Equations 101 // 2.8 Equations Reducible to Quadratic 104 // 2.9 Variation 109 // 59 // XIV // Contents // 2.10 Handling Dimension Symbols Summary and Review 119 Test 121 // 115 // 3 // RELATIONS, FUNCTIONS, AND TRANSFORMATIONS // 3.1 Relations and Ordered Pairs 124 // 3.2 Graphs of Equations 128 // 3.3 Functions 135 // 3.4 Symmetry 144 // 3.5 Transformations 151 // 3.6 Some Special Classes of Functions 158 Summary and Review 167 // Test 170 // 123 // 4 // LINEAR AND QUADRATIC FUNCTIONS AND INEQUALITIES // 4.1 Lines and Linear Functions 174 // 4.2 Parallel and Perpendicular Lines; The Distance Formula 181 // 4.3 Quadratic Functions 186 // 4.4 Mathematical Models 194 // 4.5 Sets, Sentences, and Inequalities 200 // 4.6 Equations and Inequalities with Absolute Value 205 // 4.7 Quadratic and

Rational Inequalities 209 Summary and Review 214 // Test 215 // 173 // 5 // POLYNOMIAL AND RATIONAL FUNCTIONS // 5.1 Polynomials and Polynomial Functions 218 // 5.2 The Remainder and Factor Theorems 223 // 5.3 Theorems About Roots 226 // 5.4 Rational Roots 230 // 5.5 Further Helps in Finding Roots 234 // 5.6 Graphs of Polynomial Functions 242 // 5.7 Rational Functions 247 // 5.8 Partial Fractions: A First Treatment 256 Summary and Review 260 // Test 261 // 217 // Contents // XV // 6 // EXPONENTIAL AND LOGARITHMIC FUNCTIONS 263 // 6.1 Inverses of Relations and Functions 264 // 6.2 Exponential and Logarithmic Functions 271 // 6.3 Properties of Logarithmic Functions 278 // 6.4 Finding Logarithmic Function Values 282 // 6.5 Graphs: Base e and Applications 286 // 6.6 Applications with Exponential and Logarithmic Equations 290 Summary and Review 300 // Test 302 // 7 // SYSTEMS OF EQUATIONS AND MATRICES 303 // 7.1 Systems of Equations in Two Variables 304 // 7.2 Systems of Equations in Three or More Variables 312 // 7.3 Special Cases 319 // 7.4 Matrices and Systems of Equations 325 // 7.5 The Algebra of Matrices 328 // 7.6 Determinants and Cramer’s Rule 336 // 7.7 Determinants of Higher Order 340 // 7.8 Properties of Determinants 343 // 7.9 Inverses of Matrices 348 // 7.10 Systems of Inequalities 355 // 7.11 Linear Programming 360 // Summary and Review 364 // Test 367 // 8 // EQUATIONS OF SECOND DEGREE AND THEIR GRAPHS // 8.1 Conic Sections 370 // 8.2 Ellipses 377 // 8.3 Hyperbolas

384 // 8.4 Parabolas 391 // 8.5 Systems of First-Degree and Second-Degree Equations 396 // 8.6 Systems of Second-Degree Equations 399 Summary and Review 403 // Test 404 // 369 // xvi // Contents // 9 // SEQUENCES, SERIES, AND PROBABILITY 405 // 9.1 Sequences and Sums 406 // 9.2 Arithmetic Sequences and Series 410 // 9.3 Geometric Sequences and Series 414 // 9.4 Infinite Geometric Sequences and Series 419 // 9.5 Mathematical Induction 424 // 9.6 Permutations 429 // 9.7 Combinations 436 // 9.8 Probability 439 Summary and Review 448 Test 450 // APPENDIXES 453 // Appendix A Finding Logarithmic Function Values Using Tables and Interpolation 453 Appendix ? Limits and Continuity 461 // TABLES 475 // Table 1 Powers, Roots, and Reciprocals 475 // Table 2 Common Logarithms 476 // Table 3 Exponential Functions 478 // Table 4 Factorials and Large Powers of 2 479 // Table 5 Tables of Measures 479 // ANSWERS // A-1 // INDEX // 1-1