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Produktbild: Calculus Simplified

Calculus Simplified

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Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

11.06.2019

Verlag

Princeton University Press

Seitenzahl

272

Maße (L/B/H)

25,4/20,5/1,9 cm

Gewicht

647 g

Sprache

Englisch

ISBN

978-0-691-17539-3

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

11.06.2019

Verlag

Princeton University Press

Seitenzahl

272

Maße (L/B/H)

25,4/20,5/1,9 cm

Gewicht

647 g

Sprache

Englisch

ISBN

978-0-691-17539-3

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Produktbild: Calculus Simplified


    • Preface

    • To the Student

    • To the Instructor

    • Before You Begin . . .

    • 1 The Fast Track Introduction to Calculus

      • 1.1 What Is Calculus?

        • Calculus as a Way of Thinking

        • What Does “Infinitesimal Change” Mean?


      • 1.2 Limits: The Foundation of Calculus

      • 1.3 The Three Difficult Problems That Led to the Invention of Calculus

      • 2 Limits: How to Approach Indefinitely (and Thus Never Arrive)

        • 2.1 One-Sided Limits: A Graphical Approach

        • 2.2 Existence of One-Sided Limits

        • 2.3 Two-Sided Limits

        • 2.4 Continuity at a Point

        • 2.5 Continuity on an Interval

        • 2.6 The Limit Laws

        • 2.7 Calculating Limits—Algebraic Techniques

        • 2.8 Limits Approaching Infinity

        • 2.9 Limits Yielding Infinity

        • 2.10 Parting Thoughts

          • Chapter 2 Exercises


        • 3 Derivatives: Change, Quantified

          • 3.1 Solving the Instantaneous Speed Problem

          • 3.2 Solving the Tangent Line Problem—The Derivative at a Point

          • 3.3 The Instantaneous Rate of Change Interpretation of the Derivative

          • 3.4 Differentiability: When Derivatives Do (and Don’t) Exist

          • 3.5 The Derivative, a Graphical Approach

          • 3.6 The Derivative, an Algebraic Approach Leibniz Notation

          • 3.7 Differentiation Shortcuts: The Basic Rules

          • 3.8 Differentiation Shortcuts: The Power Rule

          • 3.9 Differentiation Shortcuts: The Product Rule

          • 3.10 Differentiation Shortcuts: The Chain Rule

          • 3.11 Differentiation Shortcuts: The Quotient Rule

          • 3.12 (Optional) Derivatives of Transcendental Functions

          • 3.13 Higher-Order Derivatives

          • 3.14 Parting Thoughts

            • Chapter 3 Exercises


          • 4 Applications of Differentiation

            • 4.1 Related Rates

            • 4.2 Linearization

            • 4.3 The Increasing/Decreasing Test

            • 4.4 Optimization Theory: Local Extrema

            • 4.5 Optimization Theory: Absolute Extrema

            • 4.6 Applications of Optimization

            • 4.7 What the Second Derivative Tells Us About the Function

            • 4.8 Parting Thoughts

              • Chapter 4 Exercises


            • 5 Integration: Adding Up Change

              • 5.1 Distance as Area

              • 5.2 Leibniz’s Notation for the Integral

              • 5.3 The Fundamental Theorem of Calculus

              • 5.4 Antiderivatives and the Evaluation Theorem

              • 5.5 Indefinite Integrals

              • 5.6 Properties of Integrals

              • 5.7 Net Signed Area

              • 5.8 (Optional) Integrating Transcendental Functions

              • 5.9 The Substitution Rule

              • 5.10 Applications of Integration

              • 5.11 Parting Thoughts

                • Chapter 5 Exercises


              • Epilogue

              • Acknowledgments

              • Appendix A: Review of Algebra and Geometry

              • Appendix B: Review of Functions

              • Appendix C: Additional Applied Examples

              • Answers to Appendix and Chapter Exercises

              • Bibliography

              • Index of Applications

              • Index of Subjects