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Finite Mathematics and Applied Calculus 8th edition [Pehme köide]

(Hofstra University), (Hofstra University)
  • Formaat: Paperback / softback, 1368 pages, kõrgus x laius x paksus: 48x215x274 mm, kaal: 2562 g
  • Ilmumisaeg: 13-Mar-2023
  • Kirjastus: Brooks/Cole
  • ISBN-10: 0357723635
  • ISBN-13: 9780357723630
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Finite Mathematics and Applied Calculus 8th editionSuurem pilt
  • Formaat: Paperback / softback, 1368 pages, kõrgus x laius x paksus: 48x215x274 mm, kaal: 2562 g
  • Ilmumisaeg: 13-Mar-2023
  • Kirjastus: Brooks/Cole
  • ISBN-10: 0357723635
  • ISBN-13: 9780357723630
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9780357723630.html
Märksõnad:
Discover the relevance of mathematics in your own life as you master important concepts and skills in Waner/Costenoble s FINITE MATHEMATICS AND APPLIED CALCULUS, 8th Edition. Updated, numerous examples and applications use real data from well-known businesses and economic and current life events -- from cryptocurrency to COVID -- to demonstrate how the principles you are learning impact you. Readable, streamlined content clearly presents concepts while numerous learning features and tools help you review and practice. Spreadsheet and TI graphing calculator instructions appear where needed. In addition, WebAssign online tools and an interactive eTextbook include teaching videos by an award-winning instructor. You can refine your skills in the necessary math prerequisites with additional examples and powerful adaptive practice sessions. A helpful website from the authors also offers online tutorials and videos on each mathematics topic to support your learning.
Chapter 0 Precalculus Review
1(48)
Introduction
2(1)
0.1 Real Numbers
2(5)
0.2 Exponents and Radicals
7(7)
0.3 Using Exponent Identities
14(4)
0.4 Multiplying and Factoring Algebraic Expressions
18(6)
0.5 Rational Expressions
24(2)
0.6 Solving Polynomial Equations
26(7)
0.7 Solving Miscellaneous Equations
33(4)
0.8 The Coordinate Plane
37(4)
0.9 Logarithms
41(8)
Chapter 1 Functions and Applications
49(78)
Introduction
50(1)
1.1 Functions from the Numerical, Algebraic, and Graphical Viewpoints
50(15)
1.2 Functions and Models
65(17)
1.3 Linear Functions and Models
82(17)
1.4 Linear Regression
99(28)
Key Topics
110(1)
Review Exercises
110(3)
Case Study Modeling YouTube Viewership
113(4)
Technology Guide
117(10)
Chapter 2 Nonlinear Functions and Models
127(64)
Introduction
128(1)
2.1 Quadratic Functions and Models
128(11)
2.2 Exponential Functions and Models
139(11)
2.3 The Number e and Exponential Growth and Decay
150(10)
2.4 Logistic and Logarithmic Functions and Models
160(31)
Key Topics
179(1)
Review Exercises
179(3)
Case Study Projecting Market Growth
182(3)
Technology Guide
185(6)
Chapter 3 Mathematics of Finance
191(50)
Introduction
192(1)
3.1 Simple Interest
192(9)
3.2 Compound Interest
201(10)
3.3 Annuities, Loans, and Bonds
211(30)
Key Topics
227(1)
Review Exercises
227(2)
Case Study Adjustable Rate and Subprime Mortgages
229(6)
Technology Guide
235(6)
Chapter 4 Systems of Linear Equations and Matrices
241(58)
Introduction
242(1)
4.1 Systems of Two Linear Equations in Two Unknowns
242(14)
4.2 Using Matrices to Solve Systems of Equations
256(18)
4.3 Applications of Systems of Linear Equations
274(25)
Key Topics
287(1)
Review Exercises
287(3)
Case Study Hybrid Cars: Optimizing the Degree of Hybridization
290(3)
Technology Guide
293(6)
Chapter 5 Matrix Algebra
299(78)
Introduction
300(1)
5.1 Matrix Addition and Scalar Multiplication
300(10)
5.2 Matrix Multiplication
310(14)
5.3 Matrix Inversion
324(11)
5.4 Game Theory
335(16)
5.5 Input-Output Models
351(26)
Key Topics
363(1)
Review Exercises
363(3)
Case Study Social Network Analysis
366(4)
Technology Guide
370(7)
Chapter 6 Linear Programming
377(84)
Introduction
378(1)
6.1 Graphing Linear Inequalities
378(10)
6.2 Solving Linear Programming Problems Graphically
388(16)
6.3 The Simplex Method: Solving Standard Maximization Problems
404(17)
6.4 The Simplex Method: Solving General Linear Programming Problems
421(14)
6.5 The Simplex Method and Duality
435(26)
Key Topics
449(1)
Review Exercises
449(4)
Case Study The Diet Problem
453(4)
Technology Guide
457(4)
Chapter 7 Sets and Counting
461(50)
Introduction
462(1)
7.1 Set Operations
462(11)
7.2 Cardinality
473(10)
7.3 Decision Algorithms: The Addition and Multiplication Principles
483(11)
7.4 Permutations and Combinations
494(17)
Key Topics
507(1)
Review Exercises
507(2)
Case Study Designing a Puzzle
509(2)
Chapter 8 Probability
511(98)
Introduction
512(1)
8.1 Sample Spaces and Events
512(14)
8.2 Relative Frequency
526(8)
8.3 Probability and Probability Models
534(17)
8.4 Probability and Counting Techniques
551(9)
8.5 Conditional Probability and Independence
560(15)
8.6 Bayes' Theorem and Applications
575(10)
8.7 Markov Systems
585(24)
Key Topics
598(1)
Review Exercises
598(3)
Case Study The Monty Hall Problem
601(2)
Technology Guide
603(6)
Chapter 9 Random Variables and Statistics
609(68)
Introduction
610(1)
9.1 Random Variables and Distributions
610(10)
9.2 Bernoulli Trials and Binomial Random Variables
620(8)
9.3 Measures of Central Tendency
628(13)
9.4 Measures of Dispersion
641(14)
9.5 Normal Distributions
655(22)
Key Topics
666(1)
Review Exercises
666(3)
Case Study Spotting Tax Fraud with Benford's Law
669(3)
Technology Guide
672(5)
Chapter 10 Introduction to the Derivative
677(102)
Introduction
678(1)
10.1 Limits: Numerical and Graphical Viewpoints
678(15)
10.2 Limits: Algebraic Viewpoint
693(17)
10.3 Limits and Continuity
710(8)
10.4 Average Rate of Change
718(15)
10.5 The Derivative: Numerical and Graphical Viewpoints
733(23)
10.6 The Derivative: Algebraic Viewpoint
756(23)
Key Topics
766(1)
Review Exercises
766(4)
Case Study Reducing Sulfur Emissions
770(4)
Technology Guide
774(5)
Chapter 11 Techniques of Differentiation
779(82)
Introduction
780(1)
11.1 Derivatives of Powers, Sums, and Constant Multiples
780(14)
11.2 A First Application: Marginal Analysis
794(10)
11.3 The Product and Quotient Rules
804(13)
11.4 The Chain Rule
817(13)
11.5 Derivatives of Logarithmic and Exponential Functions
830(13)
11.6 Implicit Differentiation
843(18)
Key Topics
849(1)
Review Exercises
850(2)
Case Study Tracking the COVID-19 Epidemic in the U.S.
852(9)
Chapter 12 Further Applications of the Derivative
861(92)
Introduction
862(1)
12.1 Maxima and Minima
862(15)
12.2 Applications of Maxima and Minima
877(14)
12.3 Higher Order Derivatives: Acceleration and Concavity
891(16)
12.4 Analyzing Graphs
907(11)
12.5 Differentials, Linear Approximation, and Error Estimation
918(7)
12.6 Related Rates
925(10)
12.7 Elasticity
935(18)
Key Topics
943(1)
Review Exercises
943(4)
Case Study Production Lot Size Management
947(4)
Technology Guide
951(2)
Chapter 13 The Integral
953(70)
Introduction
954(1)
13.1 The Indefinite Integral
954(16)
13.2 Substitution
970(12)
13.3 The Definite Integral
982(19)
13.4 The Fundamental Theorem of Calculus
1001(22)
Keytopics
1012(1)
Review Exercises
1013(2)
Case Study Spending on Housing Construction
1015(5)
Technology Guide
1020(3)
Chapter 14 Further Integration Techniques and Applications of the Integral
1023(64)
Introduction
1024(1)
14.1 Integration by Parts
1024(8)
14.2 Area between Two Curves
1032(8)
14.3 Averages and Moving Averages
1040(9)
14.4 Applications to Business and Economics: Consumers' and Producers' Surplus and Continuous Income Streams
1049(9)
14.5 Improper Integrals and Applications
1058(9)
14.6 Differential Equations and Applications
1067(20)
Key Topics
1076(1)
Review Exercises
1077(1)
Case Study Estimating Tax Revenues
1078(6)
Technology Guide
1084(3)
Chapter 15 Functions of Several Variables
1087(64)
Introduction
1088(1)
15.1 Functions of Several Variables from the Numerical, Algebraic, and Graphical Viewpoints
1088(17)
15.2 Partial Derivatives
1105(9)
15.3 Maxima and Minima
1114(9)
15.4 Constrained Maxima and Minima and Applications
1123(8)
15.5 Double Integrals and Applications
1131(20)
Key Topics
1140(1)
Review Exercises
1140(3)
Case Study Modeling College Population
1143(5)
Technology Guide
1148(3)
Chapter 16 Trigonometric Models
1151(38)
Introduction
1152(1)
16.1 Trigonometric Functions, Models, and Regression
1152(13)
16.2 Derivatives of Trigonometric Functions and Applications
1165(8)
16.3 Integrals of Trigonometric Functions and Applications
1173(16)
Keytopics
1181(1)
Review Exercises
1181(2)
Case Study Predicting Airline Empty Seat Volume
1183(4)
Technology Guide
1187(2)
Appendix A Logic 1189(16)
Appendix B Area Under a Normal Curve 1205
Answers to Selected Exercises 1(1)
Index 1(120)
Index of Applications 121(8)
Index of Companies and Agencies 129
Stefan Waner and Steven R. Costenoble both received their Ph.D.s from the University of Chicago, having studied several years apart with the same advisor, J. Peter May. Their paths merged when Dr. Waner joined Dr. Costenoble at Hofstra University in 1987. Since then, they have coauthored 18 research papers as well as a research-level monograph in algebraic topology. By the early 1990s, they had become dissatisfied with many of the finite mathematics and applied calculus textbooks available. They wanted textbook choices that were more readable and relevant to students' interests -- texts that contained engaging examples and exercises and texts that reflected the interactive approaches and techniques they found worked well with their own students. It, therefore, seemed natural to extend their research collaboration to a joint textbook writing project that expressed these ideals. To this day, they continue to work together on textbook projects, research in algebraic topology and in their teaching. Stefan Waner and Steven R. Costenoble both received their Ph.D.s from the University of Chicago, having studied several years apart with the same advisor, J. Peter May. Their paths merged when Dr. Waner joined Dr. Costenoble at Hofstra University in 1987. Since then, they have coauthored 18 research papers as well as a research-level monograph in algebraic topology. By the early 1990s, they had become dissatisfied with many of the finite mathematics and applied calculus textbooks available. They wanted textbook choices that were more readable and relevant to students' interests -- texts that contained engaging examples and exercises and texts that reflected the interactive approaches and techniques they found worked well with their own students. It, therefore, seemed natural to extend their research collaboration to a joint textbook writing project that expressed these ideals. To this day, they continue to work together on textbook projects, research in algebraic topology and in their teaching.