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Applied Calculus 8th edition [Pehme köide]

(Hofstra University), (Hofstra University)
  • Formaat: Paperback / softback, 900 pages, kõrgus x laius x paksus: 30x210x271 mm, kaal: 1655 g
  • Ilmumisaeg: 05-May-2023
  • Kirjastus: Brooks/Cole
  • ISBN-10: 0357723481
  • ISBN-13: 9780357723487
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  • Formaat: Paperback / softback, 900 pages, kõrgus x laius x paksus: 30x210x271 mm, kaal: 1655 g
  • Ilmumisaeg: 05-May-2023
  • Kirjastus: Brooks/Cole
  • ISBN-10: 0357723481
  • ISBN-13: 9780357723487
Teised raamatud teemal:
Discover the relevance of mathematics in your own life as you master important concepts and skills in Waner/Costenoble s APPLIED CALCULUS, 8th Edition. Updated, numerous examples and applications use real data from well-known businesses, current economic and 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 every topic to support your learning, no matter what your learning style.
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(11)
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(19)
Key Topics
179(1)
Review Exercises
179(3)
Case Study Projecting Market Growth
182(3)
Technology Guide
185(6)
Chapter 3 Introduction to the Derivative
191(102)
Introduction
192(1)
3.1 Limits: Numerical and Graphical Viewpoints
192(15)
3.2 Limits: Algebraic Viewpoint
207(17)
3.3 Limits and Continuity
224(8)
3.4 Average Rate of Change
232(15)
3.5 The Derivative: Numerical and Graphical Viewpoints
247(23)
3.6 The Derivative: Algebraic Viewpoint
270(10)
Key Topics
280(1)
Review Exercises
280(4)
Case Study Reducing Sulfur Emissions
284(4)
Technology Guide
288(5)
Chapter 4 Techniques of Differentiation
293(82)
Introduction
294(1)
4.1 Derivatives of Powers, Sums, and Constant Multiples
294(14)
4.2 A First Application: Marginal Analysis
308(10)
4.3 The Product and Quotient Rules
318(13)
4.4 The Chain Rule
331(13)
4.5 Derivatives of Logarithmic and Exponential Functions
344(13)
4.6 Implicit Differentiation
357(6)
Key Topics
363(1)
Review Exercises
364(2)
Case Study Tracking the COVID-19 Epidemic in the U.S.
366(9)
Chapter 5 Further Applications of the Derivative
375(92)
Introduction
376(1)
5.1 Maxima and Minima
376(15)
5.2 Applications of Maxima and Minima
391(14)
5.3 Higher Order Derivatives: Acceleration and Concavity
405(16)
5.4 Analyzing Graphs
421(11)
5.5 Differentials, Linear Approximation, and Error Estimation
432(7)
5.6 Related Rates
439(10)
5.7 Elasticity
449(8)
Key Topics
457(1)
Review Exercises
457(4)
Case Study Production tot Size Management
461(4)
Technology Guide
465(2)
Chapter 6 The Integral
467(70)
Introduction
468(1)
6.1 The Indefinite Integral
468(16)
6.2 Substitution
484(12)
6.3 The Definite Integral
496(19)
6.4 The Fundamental Theorem of Calculus
515(11)
Key Topics
526(1)
Review Exercises
527(2)
Case Study Spending on Housing Construction
529(5)
Technology Guide
534(3)
Chapter 7 Further Integration Techniques and Applications of the Integral
537(64)
Introduction
538(1)
7.1 Integration by Parts
538(8)
7.2 Area between Two Curves
546(8)
7.3 Averages and Moving Averages
554(9)
7.4 Applications to Business and Economics: Consumers' and Producers' Surplus and Continuous Income Streams
563(9)
7.5 Improper Integrals and Applications
572(9)
7.6 Differential Equations and Applications
581(9)
Key Topics
590(1)
Review Exercises
591(1)
Case Study Estimating Tax Revenues
592(6)
Technology Guide
598(3)
Chapter 8 Functions of Several Variables
601(64)
Introduction
602(1)
8.1 Functions of Several Variables from the Numerical, Algebraic, and Graphical Viewpoints
602(17)
8.2 Partial Derivatives
619(9)
8.3 Maxima and Minima
628(9)
8.4 Constrained Maxima and Minima and Applications
637(8)
8.5 Double Integrals and Applications
645(9)
Key Topics
654(1)
Review Exercises
654(3)
Case Study Modeling College Population
657(5)
Technology Guide
662(3)
Chapter 9 Trigonometric Models
665(1)
Introduction
666(1)
9.1 Trigonometric Functions, Models, and Regression
666(13)
9.2 Derivatives of Trigonometric Functions and Applications
679(8)
9.3 Integrals of Trigonometric Functions and Applications
687(8)
Key Topics
695(1)
Review Exercises
695(2)
Case Study Predicting Airline Empty Seat Volume
697(4)
Technology Guide
701
Answers to Selected Exercises 1(1)
Index 1(112)
Index of Applications 113(4)
Index of Companies and Agencies 117
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.