Calculus: Early Transcendentals Single Variable (1st Edition) Briggs/Cochran

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Features
1st Edition
ISBN
9780321664143
Kategorie

Über dieses Produkt

Product Identifiers

Publisher
Addison Wesley
ISBN-10
0321664140
ISBN-13
9780321664143
eBay Product ID (ePID)
79628250

Product Key Features

Number of Pages
816 Pages
Language
English
Publication Name
Single Variable Calculus : Early Transcendentals
Publication Year
2010
Subject
Functional Analysis, Calculus
Type
Textbook
Subject Area
Mathematics
Author
Lyle Cochran, Bill L. Briggs, William L. Briggs, Bernard Gillett
Series
Briggs/Cochran/Gillett Calculus 2e Ser.
Format
Trade Paperback

Dimensions

Item Height
1.4 in
Item Weight
50.9 Oz
Item Length
10.8 in
Item Width
8.5 in

Additional Product Features

Intended Audience
College Audience
Table Of Content
Chapter 1: Functions 1.1 Review of Functions 1.2 Representing Functions 1.3 Inverse, Exponential, and Logarithm Functions 1.4 Trigonometric Functions and Their Inverses Chapter 2: Limits 2.1 The Idea of Limits 2.2 Definitions of Limits 2.3 Techniques for Computing Limits 2.4 Infinite Limits 2.5 Limits at Infinity 2.6 Continuity 2.7 Precise Definitions of Limits Chapter 3: Derivatives 3.1 Introducing the Derivative 3.2 Rules of Differentiation 3.3 The Product and Quotient Rules 3.4 Derivatives of Trigonometric Functions 3.5 Derivatives as Rates of Change 3.6 The Chain Rule 3.7 Implicit Differentiation 3.8 Derivatives of Logarithmic and Exponential Functions 3.9 Derivatives of Inverse Trigonometric Functions 3.10 Related Rates Chapter 4: Applications of the Derivative 4.1 Maxima and Minima 4.2 What Derivatives Tell Us 4.3 Graphing Functions 4.4 Optimization Problems 4.5 Linear Approximation and Differentials 4.6 Mean Value Theorem 4.7 L'Hapital's Rule 4.8 Antiderivatives Chapter 5: Integration 5.1 Approximating Areas under Curves 5.2 Definite Integrals 5.3 Fundamental Theorem of Calculus 5.4 Working with Integrals 5.5 Substitution Rule Chapter 6: Applications of Integration 6.1 Velocity and Net Change 6.2 Regions between Curves 6.3 Volume by Slicing 6.4 Volume by Shells 6.5 Length of Curves 6.6 Physical Applications 6.7 Logarithmic and exponential functions revisited 6.8 Exponential models Chapter 7: Integration Techniques 7.1 Integration by Parts 7.2 Trigonometric Integrals 7.3 Trigonometric Substitution 7.4 Partial Fractions 7.5 Other Integration Strategies 7.6 Numerical Integration 7.7 Improper Integrals 7.8 Introduction to Differential Equations Chapter 8: Sequences and Infinite Series 8.1 An Overview 8.2 Sequences 8.3 Infinite Series 8.4 The Divergence and Integral Tests 8.5 The Ratio and Comparison Tests 8.6 Alternating Series Chapter 9: Power Series 9.1 Approximating Functions with Polynomials 9.2 Power Series 9.3 Taylor Series 9.4 Working with Taylor Series Chapter 10: Parametric and Polar Curves 10.1 Parametric Equations 10.2 Polar Coordinates 10.3 Calculus in Polar Coordinates 10.4 Conic Sections
Synopsis
Drawing on their decades of teaching experience, William Briggs and Lyle Cochran have created a calculus text that carries the teacher's voice beyond the classroom. That voice-evident in the narrative, the figures, and the questions interspersed in the narrative-is a master teacher leading readers to deeper levels of understanding. The authors appeal to readers' geometric intuition to introduce fundamental concepts and lay the foundation for the more rigorous development that follows. Comprehensive exercise sets have received praise for their creativity, quality, and scope., Drawing on their decades of teaching experience, William Briggs and Lyle Cochran have created a calculus text that carries the teacher s voice beyond the classroom. That voice evident in the narrative, the figures, and the questions interspersed in the narrative is a master teacher leading readers to deeper levels of understanding. The authors appeal to readers geometric intuition to introduce fundamental concepts and lay the foundation for the more rigorous development that follows. Comprehensive exercise sets have received praise for their creativity, quality, and scope."

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