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Precalculus with Limits 5th edition [Kõva köide]

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(The Pennsylvania State University, The Behrend College)
  • Formaat: Hardback, 1120 pages, kõrgus x laius x paksus: 45x220x281 mm, kaal: 2220 g
  • Ilmumisaeg: 01-Jan-2021
  • Kirjastus: Brooks/Cole
  • ISBN-10: 0357457854
  • ISBN-13: 9780357457856
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Precalculus with Limits 5th editionSuurem pilt
  • Formaat: Hardback, 1120 pages, kõrgus x laius x paksus: 45x220x281 mm, kaal: 2220 g
  • Ilmumisaeg: 01-Jan-2021
  • Kirjastus: Brooks/Cole
  • ISBN-10: 0357457854
  • ISBN-13: 9780357457856
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Püsilink: https://www.kriso.ee/db/9780357457856.html
Märksõnad:
Prepare for success in precalculus as Larson's PRECALCULUS WITH LIMITS, 5th Edition provides specially developed ongoing review in addition to clear explanations, real examples, exercises that relate to everyday life and innovative online support. Written by an award-wining author recognized for his reader-friendly approach, this edition provides a brief review of core algebra topics and coverage of analytic geometry in three dimensions in addition to an introduction to concepts covered in calculus. "How Do You See It?" exercises let you practice applying concepts, while new Summarize features and Checkpoint questions reinforce your understanding of skills you need to better prepare for tests. In addition, "Review & Refresh" exercises and Skills Review videos help you strengthen previously learned math skills. You can even access no-cost homework support on the websites CalcChat.com, CalcView.com and LarsonPrecalculus.com and refine your abilities with WebAssign activities and practice.
1 Functions and Their Graphs
1(112)
1.1 Rectangular Coordinates
2(9)
1.2 Graphs of Equations
11(11)
1.3 Linear Equations in Two Variables
22(13)
1.4 Functions
35(14)
1.5 Analyzing Graphs of Functions
49(11)
1.6 A Library of Parent Functions
60(7)
1.7 Transformations of Functions
67(9)
1.8 Combinations of Functions: Composite Functions
76(8)
1.9 Inverse Functions
84(9)
1.10 Mathematical Modeling and Variation
93(20)
Summary and Study Strategies
104(2)
Review Exercises
106(3)
Chapter Test
109(1)
Proofs in Mathematics
110(1)
P.S. Problem Solving
111(2)
2 Polynomial and Rational Functions
113(84)
2.1 Quadratic Functions and Models
114(9)
2.2 Polynomial Functions of Higher Degree
123(13)
2.3 Polynomial and Synthetic Division
136(9)
2.4 Complex Numbers
145(7)
2.5 Zeros of Polynomial Functions
152(14)
2.6 Rational Functions
166(12)
2.7 Nonlinear Inequalities
178(19)
Summary and Study Strategies
188(2)
Review Exercises
190(2)
Chapter Test
192(1)
Proofs in Mathematics
193(2)
P.S. Problem Solving
195(2)
3 Exponential and Logarithmic Functions
197(62)
3.1 Exponential Functions and Their Graphs
198(11)
3.2 Logarithmic Functions and Their Graphs
209(10)
3.3 Properties of Logarithms
219(7)
3.4 Exponential and Logarithmic Equations
226(10)
3.5 Exponential and Logarithmic Models
236(23)
Summary and Study Strategies
248(2)
Review Exercises
250(3)
Chapter Test
253(1)
Cumulative Test for
Chapters 1-3
254(2)
Proofs in Mathematics
256(1)
P.S. Problem Solving
257(2)
4 Trigonometry
259(88)
4.1 Radian and Degree Measure
260(10)
4.2 Trigonometric Functions: The Unit Circle
270(7)
4.3 Right Triangle Trigonometry
277(11)
4.4 Trigonometric Functions of Any Angle
288(9)
4.5 Graphs of Sine and Cosine Functions
297(11)
4.6 Graphs of Other Trigonometric Functions
308(10)
4.7 Inverse Trigonometric Functions
318(10)
4.8 Applications and Models
328(19)
Summary and Study Strategies
338(2)
Review Exercises
340(3)
Chapter Test
343(1)
Proofs in Mathematics
344(1)
P.S. Problem Solving
345(2)
5 Analytic Trigonometry
347(52)
5.1 Using Fundamental Identities
348(7)
5.2 Verifying Trigonometric Identities
355(7)
5.3 Solving Trigonometric Equations
362(12)
5.4 Sum and Difference Formulas
374(7)
5.5 Multiple-Angle and Product-to-Sum Formulas
381(18)
Summary and Study Strategies
390(2)
Review Exercises
392(2)
Chapter Test
394(1)
Proofs in Mathematics
395(2)
P.S. Problem Solving
397(2)
6 Additional Topics in Trigonometry
399(68)
6.1 Law of Sines
400(9)
6.2 Law of Cosines
409(7)
6.3 Vectors in the Plane
416(13)
6.4 Vectors and Dot Products
429(9)
6.5 The Complex Plane
438(7)
6.6 Trigonometric Form of a Complex Number
445(22)
Summary and Study Strategies
454(2)
Review Exercises
456(3)
Chapter Test
459(1)
Cumulative Test for
Chapters 4-6
460(2)
Proofs in Mathematics
462(3)
P.S. Problem Solving
465(2)
7 Systems of Equations and Inequalities
467(72)
7.1 Linear and Nonlinear Systems of Equations
468(10)
7.2 Two-Variable Linear Systems
478(12)
7.3 Multivariable Linear Systems
490(12)
7.4 Partial Fractions
502(8)
7.5 Systems of Inequalities
510(10)
7.6 Linear Programming
520(19)
Summary and Study Strategies
529(2)
Review Exercises
531(4)
Chapter Test
535(1)
Proofs in Mathematics
536(1)
P.S. Problem Solving
537(2)
8 Matrices and Determinants
539(70)
8.1 Matrices and Systems of Equations
540(13)
8.2 Operations with Matrices
553(15)
8.3 The Inverse of a Square Matrix
568(9)
8.4 The Determinant of a Square Matrix
577(8)
8.5 Applications of Matrices and Determinants
585(24)
Summary and Study Strategies
598(2)
Review Exercises
600(4)
Chapter Test
604(1)
Proofs in Mathematics
605(2)
P.S. Problem Solving
607(2)
9 Sequences, Series, and Probability
609(82)
9.1 Sequences and Series
610(10)
9.2 Arithmetic Sequences and Partial Sums
620(9)
9.3 Geometric Sequences and Series
629(9)
9.4 Mathematical Induction
638(10)
9.5 The Binomial Theorem
648(8)
9.6 Counting Principles
656(10)
9.7 Probability
666(25)
Summary and Study Strategies
678(2)
Review Exercises
680(3)
Chapter Test
683(1)
Cumulative Test for
Chapters 7-9
684(2)
Proofs in Mathematics
686(3)
P.S. Problem Solving
689(2)
10 Topics in Analytic Geometry
691(86)
10.1 Lines
692(7)
10.2 Introduction to Conies: Parabolas
699(9)
10.3 Ellipses
708(9)
10.4 Hyperbolas
717(10)
10.5 Rotation of Conies
727(8)
10.6 Parametric Equations
735(10)
10.7 Polar Coordinates
745(6)
10.8 Graphs of Polar Equations
751(8)
10.9 Polar Equations of Conies
759(18)
Summary and Study Strategies
766(2)
Review Exercises
768(3)
Chapter Test
771(1)
Proofs in Mathematics
772(3)
P.S. Problem Solving
775(2)
11 Analytic Geometry in Three Dimensions
777(40)
11.1 The Three-Dimensional Coordinate System
778(7)
11.2 Vectors in Space
785(7)
11.3 The Cross Product of Two Vectors
792(7)
11.4 Lines and Planes in Space
799(18)
Summary and Study Strategies
808(2)
Review Exercises
810(2)
Chapter Test
812(1)
Proofs in Mathematics
813(2)
P.S. Problem Solving
815(2)
12 Limits and an Introduction to Calculus
817(60)
12.1 Introduction to Limits
818(11)
12.2 Techniques for Evaluating Limits
829(10)
12.3 The Tangent Line Problem
839(10)
12.4 Limits at Infinity and Limits of Sequences
849(9)
12.5 The Area Problem
858(19)
Summary and Study Strategies
866(2)
Review Exercises
868(3)
Chapter Test
871(1)
Cumulative Test for
Chapters 10-12
872(2)
Proofs in Mathematics
874(1)
P.S. Problem Solving
875(2)
13 Concepts in Statistics
877(1)
13.1 Representing Data
878(7)
13.2 Analyzing Data
885(12)
13.3 Modeling Data
897(7)
Summary and Study Strategies
904(2)
Review Exercises
906(2)
Chapter Test
908(1)
Proofs in Mathematics
909(1)
P.S. Problem Solving
910
Appendix A
Appendix A Review of Fundamental Concepts of Algebra
A.1 Real Numbers and Their Properties
1(12)
A.2 Exponents and Radicals
13(12)
A.3 Polynomials and Factoring
25(10)
A.4 Rational Expressions
35(10)
A.5 Solving Equations
45(13)
A.6 Linear Inequalities in One Variable
58(9)
A.7 Errors and the Algebra of Calculus
67(8)
Answers to Odd-Numbered Exercises and Tests 75(125)
Index 200
Dr. Ron Larson is a professor of mathematics at the Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored more than 30 software titles since 1990. Dr. Larson has also authored numerous acclaimed textbooks, including the best-selling calculus series coauthored with Dr. Bruce Edwards and published by Cengage. Dr. Larson received the 2017 William Holmes McGuffey Longevity Award for PRECALCULUS and for CALCULUS. He also received the 2018 Text and Academic Authors Association TEXTY Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS. In addition, Dr. Larson received the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS -- a complete text on CD-ROM that was the first mainstream college textbook to be offered on the internet.