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Berechnung einer einzelnen Variablen: Frühe transzendentale Funktionen 7. Auflage-
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Standort: Downers Grove, Illinois, USA
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eBay-Artikelnr.:135771050002
Artikelmerkmale
- Artikelzustand
- ISBN
- 9781337552523
Über dieses Produkt
Product Identifiers
Publisher
Brooks/Cole
ISBN-10
1337552526
ISBN-13
9781337552523
eBay Product ID (ePID)
240522903
Product Key Features
Number of Pages
1312 Pages
Publication Name
Calculus of a Single Variable : Early Transcendental Functions
Language
English
Subject
General, Calculus, Algebra / Elementary
Publication Year
2018
Type
Textbook
Subject Area
Mathematics
Format
Hardcover
Dimensions
Item Height
1.2 in
Item Weight
71.4 Oz
Item Length
11.1 in
Item Width
8.8 in
Additional Product Features
Edition Number
7
Intended Audience
College Audience
LCCN
2017-952086
Dewey Edition
23
Reviews
The book covers all topics included in the competencies of calculus 1, 2 and 3 in our institution. That was one of the reasons we adopted it. Even more, the topics associated with method of integration by substitution (sections 5.5-5.8) are better covered than any other book with plenty of examples and exercises, and this is crucial for the students to get a good foundation for calculus 2., The students who take the Calculus sequence are science and engineering majors rather than math majors, so the focus on the applied rather than the theoretical approach fits that model of student quite well.
Illustrated
Yes
Dewey Decimal
518
Table Of Content
1. PREPARATION FOR CALCULUS. Graphs and Models. Linear Models and Rates of Change. Functions and Their Graphs. Fitting Models to Data. Inverse Functions. Exponential and Logarithmic Functions. Review Exercises. P.S. Problem Solving. 2. LIMITS AND THEIR PROPERTIES. A Preview of Calculus. Finding Limits Graphically and Numerically. Evaluating Limits Analytically. Continuity and One-Sided Limits. Infinite Limits. Section Project: Graphs and Limits of Trigonometric Functions. Review Exercises. P.S. Problem Solving. 3. DIFFERENTIATION. The Derivative and the Tangent Line Problem. Basic Differentiation Rules and Rates of Change. Product and Quotient Rules and Higher-Order Derivatives. The Chain Rule. Implicit Differentiation. Section Project: Optical Illusions. Derivatives of Inverse Functions, Related Rates. Newton's Method. Review Exercises. P.S. Problem Solving. 4. APPLICATIONS OF DIFFERENTIATION. Extrema on an Interval. Rolle's Theorem and the Mean Value Theorem. Increasing and Decreasing Functions and the First Derivative Test. Section Project: Rainbows. Concavity and the Second Derivative Test. Limits at Infinity. A Summary of Curve Sketching. Optimization Problems. Section Project: Connecticut River. Differentials. Review Exercises. P.S. Problem Solving. 5. INTEGRATION. Antiderivatives and Indefinite Integration. Area. Riemann Sums and Definite Integrals. The Fundamental Theorem of Calculus. Section Project: Demonstrating the Fundamental Theorem. Integration by Substitution. Numerical Integration. The Natural Logarithmic Function: Integration. Inverse Trigonometric Functions: Integration. Hyperbolic Functions. Section Project: St. Louis Arch. Review Exercises. P.S. Problem Solving. 6. DIFFERENTIAL EQUATIONS. Slope Fields and Euler's Method. Differential Equations: Growth and Decay. Differential Equations: Separation of Variables. The Logistic Equation. First-Order Linear Differential Equations. Section Project: Weight Loss. Predator-Prey Differential Equations. Review Exercises. P.S. Problem Solving. 7. APPLICATIONS OF INTEGRATION. Area of a Region Between Two Curves. Volume: The Disk Method. Volume: The Shell Method. Section Project: Saturn. Arc Length and Surfaces of Revolution. Work. Section Project: Tidal Energy. Moments, Centers of Mass, and Centroids. Fluid Pressure and Fluid Force. Review Exercises. P.S. Problem Solving. 8. INTEGRATION TECHNIQUES, L'HOPITAL'S RULE, AND IMPROPER INTEGRALS. Basic Integration Rules. Integration by Parts. Trigonometric Integrals. Section Project: Power Lines. Trigonometric Substitution. Partial Fractions. Integration by Tables and Other Integration Techniques. Indeterminate Forms and L'Hopital's Rule. Improper Integrals. Review Exercises. P.S. Problem Solving. 9. INFINITE SERIES. Sequences. Series and Convergence. Section Project: Cantor's Disappearing Table. The Integral Test and p-Series. Section Project: The Harmonic Series. Comparisons of Series. Section Project: Solera Method. Alternating Series. The Ratio and Root Tests. Taylor Polynomials and Approximations. Power Series. Representation of Functions by Power Series. Taylor and Maclaurin Series. Review Exercises. P.S. Problem Solving. 10. CONICS, PARAMETRIC EQUATIONS, AND POLAR COORDINATES. Conics and Calculus. Plane Curves and Parametric Equations. Section Project: Cycloids. Parametric Equations and Calculus. Polar Coordinates and Polar Graphs. Section Project: Anamorphic Art. Area and Arc Length in Polar Coordinates. Polar Equations of Conics and Kepler's Laws. Review Exercises. P.S. Problem Solving. Appendix A: Proofs of Selected Theorems (Online). Appendix B: Integration Tables. Appendix C: Pre-calculus Review (Online). Appendix C1: Real Numbers and the Real Number Line. Appendix C2: The Cartesian Plane. Appendix C3: Review of Trigonometric Functions. Appendix D: Rotation and the General Second-Degree Equation (Online). Appendix E: Complex Numbers (Online).
Synopsis
For the 7th Edition of CALCULUS OF A SINGLE VARIABLE: EARLY TRANSCENDENTAL FUNCTIONS, the companion website LarsonCalculus.com offers free access to multiple tools and resources to supplement your learning. Stepped-out solution videos with instruction are available at CalcView.com for selected exercises throughout the text. The website CalcChat.com presents free solutions to odd-numbered exercises in the text. The site currently has over 1 million hits per month, so the authors analyzed these hits to see which exercise solutions you were accessing most often. They revised and refined the exercise sets based on this analysis. The result is the only calculus book on the market that uses real data about its exercises to address your needs.
LC Classification Number
QA303.2.L383 2019
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