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Algebra and Trigonometry 5th edition [Kõva köide]

(McMaster University), (Pennsylvania State University, Abington Campus), (California State University, Long Beach)
  • Formaat: Hardback, 1136 pages, kõrgus x laius x paksus: 45x223x279 mm, kaal: 2404 g
  • Ilmumisaeg: 05-May-2023
  • Kirjastus: Brooks/Cole
  • ISBN-10: 035775364X
  • ISBN-13: 9780357753644
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  • Formaat: Hardback, 1136 pages, kõrgus x laius x paksus: 45x223x279 mm, kaal: 2404 g
  • Ilmumisaeg: 05-May-2023
  • Kirjastus: Brooks/Cole
  • ISBN-10: 035775364X
  • ISBN-13: 9780357753644
Teised raamatud teemal:
Gain a solid foundation in the principles of mathematical thinking with the algebra and trigonometry textbook that's written so you can understand it. ALGEBRA AND TRIGONOMETRY, 5th Edition by best-selling author team Stewart/Redlin/Watson explains concepts simply and clearly, helping you grasp the math that you need to succeed in this course. This edition provides updated guidelines on how to solve problems for each topic. New, helpful review and revised practice opportunities work with new content as the authors introduce problem solving and mathematical modeling early in the book and emphasize these principles throughout. Comprehensive and evenly paced, this edition introduces the function concept and guides you in using a graphing calculator as you develop insights into mathematical ideas. Online WebAssign resources are also available to provide interactive practice and assist you in mastering key principles.
Preface x
A Tribute to Lothar Redlin xvii
Technology in the Fifth Edition xviii
To the Student xix
Are You Ready for This Course? xx
Prologue: Principles of Problem-Solving 1(1)
P Prerequisites
1(970)
Chapter Overview
1(1)
P.1 Modeling the Real World with Algebra
2(5)
P.2 Real Numbers
7(11)
P.3 Integer Exponents and Scientific Notation
18(7)
P.4 Rational Exponents and Radicals
25(7)
P.5 Algebraic Expressions
32(6)
P.6 Factoring
38(7)
P.7 Rational Expressions
45(9)
P.8 Solving Basic Equations
54(9)
P.9 Modeling with Equations
63(19)
Chapter P: Review
75(5)
Chapter P: Test
80(2)
Focus on Modeling Making Optimal Decisions
82(5)
1 Equations and Graphs
87(100)
Chapter Overview
87(1)
1.1 The Coordinate Plane
88(6)
1.2 Graphs of Equations in Two Variables
94(7)
1.3 Circles
101(7)
1.4 Lines
108(11)
1.5 Solving Quadratic Equations
119(10)
1.6 Complex Numbers
129(6)
1.7 Solving Other Types of Equations
135(9)
1.8 Solving Inequalities
144(10)
1.9 Solving Absolute-Value Equations and Inequalities
154(3)
1.10 Solving Equations and Inequalities Graphically
157(8)
1.11 Modeling Variation
165(16)
Chapter 1: Review
172(7)
Chapter 1: Test
179(2)
Focus on Modeling Fitting Lines to Data
181(6)
2 Functions
187(104)
Chapter Overview
187(1)
2.1 Functions
188(11)
2.2 Graphs of Functions
199(13)
2.3 Getting Information from the Graph of a Function
212(13)
2.4 Average Rate of Change of a Function
225(8)
2.5 Linear Functions and Models
233(8)
2.6 Transformations of Functions
241(13)
2.7 Combining Functions
254(10)
2.8 One-to-One Functions and Their Inverses
264(19)
Chapter 2: Review
274(7)
Chapter 2: Test
281(2)
Focus on Modeling Modeling with Functions
283(8)
3 Polynomial and Rational Functions
291(86)
Chapter Overview
291(1)
3.1 Quadratic Functions and Models
292(8)
3.2 Polynomial Functions and Their Graphs
300(15)
3.3 Dividing Polynomials
315(6)
3.4 Real Zeros of Polynomials
321(12)
3.5 Complex Zeros and the Fundamental Theorem of Algebra
333(8)
3.6 Rational Functions
341(17)
3.7 Polynomial and Rational Inequalities
358(14)
Chapter 3: Review
364(6)
Chapter 3: Test
370(2)
Focus on Modeling Fitting Polynomial Curves to Data
372(5)
4 Exponential and Logarithmic Functions
377(72)
Chapter Overview
377(1)
4.1 Exponential Functions
378(8)
4.2 The Natural Exponential Function
386(6)
4.3 Logarithmic Functions
392(10)
4.4 Laws of Logarithms
402(7)
4.5 Exponential and Logarithmic Equations
409(10)
4.6 Modeling with Exponential Functions
419(12)
4.7 Logarithmic Scales
431(12)
Chapter 4: Review
436(6)
Chapter 4: Test
442(1)
Focus on Modeling Fitting Exponential and Power Curves to Data
443(6)
Cumulative Review Test:
Chapters 2, 3, and 4 (Website)
5 Trigonometric Functions: Right Triangle Approach
449(68)
Chapter Overview
449(1)
5.1 Angle Measure
450(10)
5.2 Trigonometry of Right Triangles
460(9)
5.3 Trigonometric Functions of Angles
469(11)
5.4 Inverse Trigonometric Functions and Right Triangles
480(8)
5.5 The Law of Sines
488(8)
5.6 The Law of Cosines
496(17)
Chapter 5: Review
504(7)
Chapter 5: Test
511(2)
Focus on Modeling Surveying
513(4)
6 Trigonometric Functions: Unit Circle Approach
517(76)
Chapter Overview
517(1)
6.1 The Unit Circle
518(7)
6.2 Trigonometric Functions of Real Numbers
525(10)
6.3 Trigonometric Graphs
535(15)
6.4 More Trigonometric Graphs
550(9)
6.5 Inverse Trigonometric Functions and Their Graphs
559(7)
6.6 Modeling Harmonic Motion
566(21)
Chapter 6: Review
580(6)
Chapter 6: Test
586(1)
Focus on Modeling Fitting Sinusoidal Curves to Data
587(6)
7 Analytic Trigonometry
593(50)
Chapter Overview
593(1)
7.1 Trigonometric Identities
594(7)
7.2 Addition and Subtraction Formulas
601(9)
7.3 Double-Angle, Half-Angle, and Product-Sum Formulas
610(10)
7.4 Basic Trigonometric Equations
620(6)
7.5 More Trigonometric Equations
626(12)
Chapter 7: Review
632(5)
Chapter 7: Test
637(1)
Focus on Modeling Traveling and Standing Waves
638(5)
Cumulative Review Test:
Chapters 5, 6, and 7 (Website)
8 Polar Coordinates, Parametric Equations, and Vectors
643(62)
Chapter Overview
643(1)
8.1 Polar Coordinates
644(6)
8.2 Graphs of Polar Equations
650(8)
8.3 Polar Form of Complex Numbers; De Moivre's Theorem
658(10)
8.4 Plane Curves and Parametric Equations
668(9)
8.5 Vectors
677(10)
8.6 The Dot Product
687(14)
Chapter 8: Review
695(4)
Chapter 8: Test
699(2)
Focus on Modeling The Path of a Projectile
701(4)
9 Systems of Equations and Inequalities
705(52)
Chapter Overview
705(1)
9.1 Systems of Linear Equations in Two Variables
706(11)
9.2 Systems of Linear Equations in Several Variables
717(8)
9.3 Partial Fractions
725(6)
9.4 Systems of Nonlinear Equations
731(5)
9.5 Systems of Inequalities
736(15)
Chapter 9: Review
746(4)
Chapter 9: Test
750(1)
Focus on Modeling Linear Programming
751(6)
10 Matrices and Determinants
757(56)
Chapter Overview
757(1)
10.1 Matrices and Systems of Linear Equations
758(13)
10.2 The Algebra of Matrices
771(10)
10.3 Inverses of Matrices and Matrix Equations
781(10)
10.4 Determinants and Cramer's Rule
791(18)
Chapter 10: Review
802(6)
Chapter 10: Test
808(1)
Focus on Modeling Computer Graphics
809(4)
11 Conic Sections
813(62)
Chapter Overview
813(1)
11.1 Parabolas
814(9)
11.2 Ellipses
823(9)
11.3 Hyperbolas
832(8)
11.4 Shifted Conies
840(10)
11.5 Rotation of Axes
850(8)
11.6 Polar Equations of Conies
858(12)
Chapter 11: Review
864(5)
Chapter 11: Test
869(1)
Focus on Modeling Conies in Architecture
870(5)
Cumulative Review Test:
Chapters 8, 9, 10, and 11 (Website)
12 Sequences and Series
Chapter Overview
875(1)
12.1 Sequences and Summation Notation
876(10)
12.2 Arithmetic Sequences
886(6)
12.3 Geometric Sequences
892(9)
12.4 Mathematical Induction
901(6)
12.5 The Binomial Theorem
907(13)
Chapter 12: Review
915(4)
Chapter 12: Test
919(1)
Focus on Modeling Modeling with Recursive Sequences
920(5)
13 Counting and Probability
Chapter Overview
925(1)
13.1 Counting
926(12)
13.2 Probability
938(13)
13.3 Binomial Probability
951(6)
13.4 Expected Value
957(9)
Chapter 13: Review
960(5)
Chapter 13: Test
965(1)
Focus on Modeling The Monte Carlo Method
966(5)
Cumulative Review Test:
Chapters 12 and 13 (Website)
Appendix A Geometry Review 971
Appendix B Calculations and Significant Figures (Website)
Appendix C Graphing with a Graphing Calculator (Website)
Appendix D Using the TI-83/84 Graphing Calculator (Website)
Appendix E Three-Dimensional Coordinate Geometry (Website)
Appendix F Mathematics of Finance (Website)
Appendix G Probability and Statistics (Website)
Answers 1(1)
Index 1
James Stewart received the M.S. degree from Stanford University and the Ph.D. from the University of Toronto. After two years as a postdoctoral fellow at the University of London, he became Professor of Mathematics at McMaster University. His research has been in harmonic analysis and functional analysis. Stewarts books include a series of high school textbooks as well as a best-selling series of calculus textbooks published by Cengage Learning. He is also co-author, with Lothar Redlin and Saleem Watson, of a series of college algebra and precalculus textbooks. Translations of his books include those into Spanish, Portuguese, French, Italian, Korean, Chinese, Greek, Indonesian and Japanese. A talented violinist, Stewart was concertmaster of the McMaster Symphony Orchestra for many years and played professionally in the Hamilton Philharmonic Orchestra. He has given more than 20 talks worldwide on mathematics and music. Stewart was named a Fellow of the Fields Institute in 2002 and was awarded an honorary D.Sc. in 2003 by McMaster University. The library of the Fields Institute is named after him. The James Stewart Mathematics Centre was opened in October, 2003, at McMaster University. The late Lothar Redlin grew up on Vancouver Island and received a bachelor of science degree from the University of Victoria and a Ph.D. from McMaster University. He subsequently did research and taught at the University of Washington and the University of Waterloo as well as California State University, Long Beach. He was most recently a professor of mathematics at The Pennsylvania State University, Abington Campus. His research focused on topology. Dr. Redlin was a valued co-author for Dr. Stewart's best-selling calculus textbook series and his popular precalculus, college algebra and trigonometry texts. Saleem Watson received his bachelor of science degree from Andrews University in Michigan. He completed his graduate studies at Dalhousie University and McMaster University, where he received his Ph.D. Dr. Watson conducted subsequently research at the Mathematics Institute of the University of Warsaw in Poland. He taught mathematics at Pennsylvania State University before serving at California State University, Long Beach, where he is currently professor emeritus. Dr. Watson's research encompasses the field of functional analysis. Dr. Watson is an important co-author for Dr. Stewart's best-selling calculus textbook series as well as his popular precalculus, college algebra and trigonometry texts.