Contemporary Precalculus: A Graphing Approach / Edition 4

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2003 Hardcover 4th ed. Illustrated. New 0534403387 Audience: General/trade.

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2004 Hardcover/CD-ROM 4th Edition New. No Jacket Brand New 2004 Copyright In Hardcover And Factory Sealed CD-ROM Formats, Contemporary Precalculus-A Graphing Approach With ... Interactive Video Skillbuilder CD-ROM, Fourth Edition: Student Text With Chapters 1-13, Appendices 1-3, Selected Answers, Indexes And 1006 Pages. Yellow And Red In Color. There Is No Access Code Present (2004 Copyright) Read more Show Less

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Overview

Respected for its detailed guidance in using technology, CONTEMPORARY PRECALCULUS: A GRAPHING APPROACH, Fifth Edition, is written from the ground up to be used with graphing calculators that you may be using in your precalculus course. You'll appreciate that the text has also long been recognized for its careful, thorough explanations and its presentation of mathematics in an informal yet mathematically precise manner. The authors also emphasize the all-important "why?" of mathematics--which is addressed in both the exposition and in the exercise sets by focusing on algebraic, graphical, and numerical perspectives.
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Product Details

  • ISBN-13: 9780534403386
  • Publisher: Brooks/Cole
  • Publication date: 6/28/2003
  • Edition description: Older Edition
  • Edition number: 4
  • Pages: 1024
  • Product dimensions: 8.30 (w) x 10.10 (h) x 1.50 (d)

Meet the Author

Thomas W. Hungerford received his M.S. and Ph.D. from the University of Chicago. He has taught at the University of Washington and at Cleveland State University, and is now at St. Louis University. His research fields are algebra and mathematics education. He is the author of many notable books for undergraduate and graduate level courses. These include: ALGEBRA (Springer Verlag, Graduate Texts in Mathematics #73, 1974); ABSTRACT ALGEBRA: AN INTRODUCTION, Second Edition (Harcourt, 1997); MATHEMATICS WITH APPLICATIONS, Eighth Edition (Addison-Wesley, 2003; with M. Lial); and CONTEMPORARY PRECALCULUS: A GRAPHING APPROACH, Fourth Edition (Brooks/Cole, 2004).
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Table of Contents

1 Basics 1
1.1 The Real Number System 2
1.1.A Special Topics: Decimal Representations of Real Numbers 16
1.2 Solving Equations Algebraically 18
1.2.A Special Topics: Absolute Value Equations 28
1.2.B Special Topics: Variation 30
1.3 The Coordinate Plane 36
1.4 Lines 48
Chapter 1 Review 63
Discovery Project 1 68
2 Graphs and Technology 69
2.1 Graphs 70
2.2 Solving Equations Graphically and Numerically 83
2.3 Applications of Equations 90
2.4 Optimization Applications 101
2.5 Linear Models 105
Chapter 2 Review 117
Discovery Project 2 121
3 Functions and Graphs 124
3.1 Functions 125
3.2 Functional Notation 136
3.3 Graphs of Functions 146
3.3.A Special Topics: Graph Reading 161
3.4 Graphs and Transformations 166
3.4.A Special Topics: Symmetry 177
3.5 Operations on Functions 182
3.6 Rates of Change 192
3.7 Inverse Functions 203
Chapter 3 Review 213
Discovery Project 3 220
4 Polynomial and Rational Functions 224
4.1 Quadratic Functions 225
4.2 Polynomial Functions 235
4.2.A Special Topics: Synthetic Division 243
4.3 Real Roots of Polynomials 247
4.4 Graphs of Polynomial Functions 254
4.4.A Special Topics: Polynomial Models 267
4.5 Rational Functions 272
4.5.A Special Topics: Other Rational Functions 288
4.6 Polynomial and Rational Inequalities 292
4.6.A Special Topics: Absolute Value Inequalities 302
4.7 Complex Numbers 305
4.8 Theory of Equations 312
Chapter 4 Review 318
Discovery Project 4 324
5 Exponential and Logarithmic Functions 325
5.1 Radicals and Rational Exponents 326
5.1.A Special Topics: Radical Equations 334
5.2 Exponential Functions 341
5.2.A Special Topics: Compound Interest and the Number e 354
5.3 Common and Natural Logarithmic Functions 360
5.4 Properties of Logarithms 369
5.4.A Special Topics: Logarithmic Functions to Other Bases 375
5.5 Algebraic Solutions of Exponential and Logarithmic Equations 383
5.6 Exponential, Logarithmic, and Other Models 392
Chapter 5 Review 403
Discovery Project 5 409
6 Trigonometric Functions 411
6.1 Angles and Their Measurement 412
6.2 The Sine, Cosine, and Tangent Functions 423
6.2 Alternate: The Sine, Cosine, and Tangent Functions 431
6.3 Algebra and Identities 437
6.4 Basic Graphs 445
6.5 Periodic Graphs and Simple Harmonic Motion 455
6.5.A Special Topics: Other Trigonometric Graphs 468
6.6 Other Trigonometric Functions 474
Chapter 6 Review 482
Discovery Project 6 487
7 Trigonometric Identities and Equations 489
7.1 Basic Identities and Proofs 490
7.2 Addition and Subtraction Identities 498
7.2.A Special Topics: Lines and Angles 506
7.3 Other Identities 510
7.4 Inverse Trigonometric Functions 518
7.5 Trigonometric Equations 527
Chapter 7 Review 537
Discovery Project 7 540
8 Triangle Trigonometry 542
8.1 Trigonometric Functions of Angles 543
8.1 Alternate: Trigonometric Functions of Angles 553
8.2 Applications of Right Triangle Trigonometry 558
8.3 The Law of Cosines 566
8.4 The Law of Sines 573
8.4.A Special Topics: The Area of a Triangle 582
Chapter 8 Review 586
Discovery Project 8 589
9 Applications of Trigonometry 591
9.1 The Complex Plane and Polar Form for Complex Numbers 592
9.2 DeMoivre's Theorem and the nth Roots of Complex Numbers 598
9.3 Vectors in the Plane 606
9.4 The Dot Product 621
Chapter 9 Review 631
Discovery Project 9 634
10 Analytic Geometry 636
10.1 Circles and Ellipses 638
10.2 Hyperbolas 652
10.3 Parabolas 663
10.4 Rotations and Second-Degree Equations 672
10.4.A Special Topics: Rotation of Axes 676
10.5 Plane Curves and Parametric Equations 681
10.6 Polar Coordinates 695
10.7 Polar Equations of Conics 704
Chapter 10 Review 715
Discovery Project 10 719
11 Systems of Equations 721
11.1 Systems of Linear Equations in Two Variables 722
11.1.A Special Topics: Systems of Nonlinear Equations 735
11.2 Large Systems of Linear Equations 742
11.3 Matrix Methods for Square Systems 758
Chapter 11 Review 771
Discovery Project 11 774
12 Discrete Algebra 776
12.1 Sequences and Sums 777
12.2 Arithmetic Sequences 788
12.3 Geometric Sequences 794
12.3.A Special Topics: Infinite Series 801
12.4 The Binomial Theorem 806
12.5 Mathematical Induction 813
Chapter 12 Review 823
Discovery Project 12 826
13 Limits and Continuity 828
13.1 Limits of Functions 829
13.2 Properties of Limits 840
13.2.A Special Topics: The Formal Definition of Limit 847
13.3 Continuity 854
13.4 Limits Involving Infinity 865
Chapter 13 Review 876
Discovery Project 13 878
Appendix 1 Algebra Review 882
Appendix 2 Geometry Review 902
Appendix 3 Programs 914
Selected Answers 919
Index of Applications 996
Index 999
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