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Klappentext The new edition of Calculus continues to bring together the best of both new and traditional curricula in an effort to meet the needs of even more instructors teaching calculus. The author team's extensive experience teaching from both traditional and innovative books and their expertise in developing innovative problems put them in an unique position to make this new curriculum meaningful for those going into mathematics and those going into the sciences and engineering. This new text exhibits the same strengths from earlier editions including an emphasis on modeling and a flexible approach to technology. Zusammenfassung The new edition of Calculus continues to bring together the best of both new and traditional curricula in an effort to meet the needs of even more instructors teaching calculus. Inhaltsverzeichnis Chapter 0. Before CalculusChapter 1. Limits and ContinuityChapter 2. The DerivativeChapter 3. The Derivative in Graphing and ApplicationsChapter 4. IntegrationChapter 5. Applications of the Definite Integral in Geometry, Science and EngineeringChapter 6. Exponential, Logarithmic, and Inverse Trigonometric FunctionsChapter 7. Principles of Integral EvaluationChapter 8. Mathematical Modeling with Differential EquationsChapter 9. Infinite SeriesChapter 10. Parametric and Polar Curves; Conic SectionsChapter 11. Three-Dimensional Space; VectorsChapter 12. Vector-Valued FunctionsChapter 13. Partial DerivativesChapter 14. Multiple IntegralsChapter 15. Topics in Vector CalculusAppendix A: Graphing Functions Using Calculators and Computer Algebra SystemsAppendix B: Trigonometry ReviewAppendix C: Solving Polynomial EquationsAppendix D: Mathematical ModelsAppendix E: Selected ProofsWeb AppendicesAppendix F: Real Numbers, Intervals, and InequalitiesAppendix G: Absolute ValueAppendix H: Coordinate Planes, Lines, and Linear FunctionsAppendix I: Distance, Circles, and Quadratic FunctionsAppendix J: Second-Order Linear Homogeneous Differential Equations; The Vibrating StringAppendix K: The Discriminant...
List of contents
Chapter 0. Before Calculus
Chapter 1. Limits and Continuity
Chapter 2. The Derivative
Chapter 3. The Derivative in Graphing and Applications
Chapter 4. Integration
Chapter 5. Applications of the Definite Integral in Geometry, Science and Engineering
Chapter 6. Exponential, Logarithmic, and Inverse Trigonometric Functions
Chapter 7. Principles of Integral Evaluation
Chapter 8. Mathematical Modeling with Differential Equations
Chapter 9. Infinite Series
Chapter 10. Parametric and Polar Curves; Conic Sections
Chapter 11. Three-Dimensional Space; Vectors
Chapter 12. Vector-Valued Functions
Chapter 13. Partial Derivatives
Chapter 14. Multiple Integrals
Chapter 15. Topics in Vector Calculus
Appendix A: Graphing Functions Using Calculators and Computer Algebra Systems
Appendix B: Trigonometry Review
Appendix C: Solving Polynomial Equations
Appendix D: Mathematical Models
Appendix E: Selected Proofs
Web Appendices
Appendix F: Real Numbers, Intervals, and Inequalities
Appendix G: Absolute Value
Appendix H: Coordinate Planes, Lines, and Linear Functions
Appendix I: Distance, Circles, and Quadratic Functions
Appendix J: Second-Order Linear Homogeneous Differential Equations; The Vibrating String
Appendix K: The Discriminant
