Calculus by Larson & Hostetler 8. Auflage
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eBay-Artikelnr.:175983891170
Artikelmerkmale
- Artikelzustand
- ISBN
- 9780618502981
Über dieses Produkt
Product Identifiers
Publisher
Cengage Learning
ISBN-10
061850298X
ISBN-13
9780618502981
eBay Product ID (ePID)
19038538393
Product Key Features
Number of Pages
1328 Pages
Language
English
Publication Name
Calculus
Publication Year
2005
Subject
General, Algebra / Elementary, Calculus
Type
Textbook
Subject Area
Mathematics
Series
Available 2010 Titles Enhanced Web Assign Ser.
Format
Hardcover
Dimensions
Item Height
2.1 in
Item Weight
100.2 Oz
Item Length
11 in
Item Width
8.9 in
Additional Product Features
Edition Number
8
Intended Audience
College Audience
LCCN
2004-114148
Illustrated
Yes
Table Of Content
Note: Each chapter includes Review Exercises and Problem Solving.P. Preparation for Calculus P.1 Graphs and Models P.2 Linear Models and Rates of ChangeP.3 Functions and Their GraphsP.4 Fitting Models to Data1. Limits and Their Properties 1.1 A Preview of Calculus1.2 Finding Limits Graphically and Numerically1.3 Evaluating Limits Analytically1.4 Continuity and One-Sided Limits1.5 Infinite LimitsSection Project: Graphs and Limits of Trigonometric Functions2. Differentiation 2.1 The Derivative and the Tangent Line Problem2.2 Basic Differentiation Rules and Rates of Change2.3 The Product and Quotient Rules and Higher-Order Derivatives2.4 The Chain Rule2.5 Implicit DifferentiationSection Project: Optical Illusions2.6 Related Rates3. Applications of Differentiation 3.1 Extrema on an Interval 3.2 Rolle's Theorem and the Mean Value Theorem3.3 Increasing and Decreasing Functions and the First Derivative TestSection Project: Rainbows3.4 Concavity and the Second Derivative Test3.5 Limits at Infinity3.6 A Summary of Curve Sketching3.7 Optimization ProblemsSection Project: Connecticut River3.8 Newton's Method3.9 Differentials4. Integration 4.1 Antiderivatives and Indefinite Integration4.2 Area4.3 Riemann Sums and Definite Integrals4.4 The Fundamental Theorem of CalculusSection Project: Demonstrating the Fundamental Theorem4.5 Integration by Substitution4.6 Numerical Integration5. Logarithmic, Exponential, and Other Transcendental Functions 5.1 The Natural Logarithmic Function: Differentiation5.2 The Natural Logarithmic Function: Integration5.3 Inverse Functions5.4 Exponential Functions: Differentiation and Integration5.5 Bases Other Than e and ApplicationsSection Project: Using Graphing Utilities to Estimate Slope5.6 Inverse Trigonometric Functions: Differentiation 5.7 Inverse Trigonometric Functions: Integration 5.8 Hyperbolic Functions Section Project: St. Louis Arch6. Differential Equations 6.1 Slope Fields and Euler's Method 6.2 Differential Equations: Growth and Decay6.3 Separation of Variables and the Logistic Equation 6.4 First-Order Linear Differential Equations Section Project: Weight Loss7. Applications of Integration 7.1 Area of a Region Between Two Curves7.2 Volume: The Disk Method7.3 Volume: The Shell MethodSection Project: Saturn7.4 Arc Length and Surfaces of Revolution7.5 WorkSection Project: Tidal Energy7.6 Moments, Centers of Mass, and Centroids7.7 Fluid Pressure and Fluid Force8. Integration Techniques, L'Hôpital's Rule, and Improper Integrals 8.1 Basic Integration Rules8.2 Integration by Parts8.3 Trigonometric IntegralsSection Project: Power Lines8.4 Trigonometric Substitution8.5 Partial Fractions8.6 Integration by Tables and Other Integration Techniques8.7 Indeterminate Forms and L'Hôpital's Rule8.8 Improper Integrals9. Infinite Series 9.1 Sequences9.2 Series and ConvergenceSection Project: Cantor's Disappearing Table9.3 The Integral Test and p-SeriesSection Project: The Harmonic Series9.4 Comparisons of SeriesSection Project: Solera Method9.5 Alternating Series9.6 The Ratio and Root Tests9.7 Taylor Polynomials and Approximations9.8 Power Series9.9 Representation of Functions by Power Series9.10 Taylor and Maclaurin Series10. Conics, Parametric Equations, and Polar Coordinates 10.1 Conics and Calculus10.2 Plane Curves and Parametric EquationsSection Project: Cycloids10.3 Parametric Equations and Calculus10.4 Polar Coordinates and Polar GraphsSection Project: Anamorphic Art10.5 Area and Arc Length in Polar Coordinates10.6 Polar Equations of Conics and Kepler's Laws11. Vectors and the Geometry of Space 11.1 Vectors in the Plane11.2 Space Coordinates and Vectors in Space11.3 The Dot Product of Two Vectors11.4 The Cross Product of Two Vectors in Space11.5 Lines and Planes in SpaceSection Project: Distances in Space11.6 Surfaces in Space11.7 Cylindrical and Spherical Coordinates12. Vector-Valued Functions 12.1 Vect
Synopsis
Designed for the three-semester calculus course for math and science majors, Calculus continues to offer instructors and students new and innovative teaching and learning resources. This was the first calculus text to use computer-generated graphics, to include exercises involving the use of computers and graphing calculators, to be available in an interactive CD-ROM format, to be offered as a complete, online calculus course, and to offer a two-semester Calculus I with Precalculus text. Every edition of the series has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas. Now, the Eighth Edition is the first calculus program to offer algorithmic homework and testing created in Maple so that answers can be evaluated with complete mathematical accuracy. Two primary objectives guided the authors in writing this book: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and saves the instructor time. The Eighth Edition continues to provide an evolving range of conceptual, technological, and creative tools that enable instructors to teach the way they want to teach and students to learn they way they learn best., Designed for the three-semester calculus course for math and science majors, "Calculus" continues to offer instructors and students new and innovative teaching and learning resources. This was the first calculus text to use computer-generated graphics, to include exercises involving the use of computers and graphing calculators, to be available in an interactive CD-ROM format, to be offered as a complete, online calculus course, and to offer a two-semester "Calculus I with Precalculus" text. Every edition of the series has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas. Now, the Eighth Edition is the first calculus program to offer algorithmic homework and testing created in Maple so that answers can be evaluated with complete mathematical accuracy.Two primary objectives guided the authors in writing this book: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and saves the instructor time. The Eighth Edition continues to provide an evolving range of conceptual, technological, and creative tools that enable instructors to teach the way they want to teach and students to learn they way they learn best.The explanations, theorems, and definitions have been thoroughly and critically reviewed. Additionally, the exercise sets have been carefully and extensively examined to ensure they cover all calculus topics appropriately.Questions involving skills, writing, critical thinking, problem-solving, applications, and real-data applications are included throughout the text. Exercises are presented in a variety of question formats, including matching, free response, true/false, modeling, and fill-in the blank.The Eduspace online resources have been integrated into a comprehensive learning system that combines numerous dynamic calculus resources with online homework and testing materials. Eduspace with eSolutions combines all the features of Eduspace with an electronic version of the textbook exercises and the complete solutions to the odd-numbered text exercises, providing students with a convenient and comprehensive way to do homework and view the course materials.The Integrated Learning System addresses the changing needs of today's instructors and students. Recognizing that the calculus course is presented in a variety of teaching and learning environments, the program resources are available in print, CD-ROM, and online formats.SMARTHINKING online tutoring brings students real-time, online tutorial support when they need it most.
LC Classification Number
QA303.2.L42 2006
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