Calculus Early Transcendental Functions – Robert Smith, Rolan Minton – 3rd Edition

Description

Smith/Minton: Mathematically Precise. Student-Friendly. Superior Technology. Students who have used Smith/Minton’s Calculus say it was easier to read than any other math book they’ve used. That testimony underscores the success of the authors’ approach, which combines the best elements of reform with the most reliable aspects of mainstream calculus teaching, resulting in a motivating, challenging book. Smith/Minton also provide exceptional, reality-based applications that appeal to students’ interests and demonstrate the elegance of math in the world around us.

New features include:

• A new placing all transcendental functions early in the book and consolidating the introduction to L’Hôpital’s Rule in a single section.
• More concisely written explanations in every chapter.
• Many new exercises (for a total of 7,000 throughout the book) that require additional rigor not found in the 2nd Edition.
• New exploratory exercises in every section that challenge students to synthesize key concepts to solve intriguing projects.
• New commentaries (“Beyond Formulas”) that encourage students to think mathematically beyond the procedures they learn.
• New counterpoints to the historical notes, “Today in Mathematics,” that the contemporary dynamism of research and applications, connecting past contributions to the present.
• An enhanced discussion of equations and additional applications of vector calculus.

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  • Chapter 0: Preliminaries
    Chapter 1: Limits and Continuity
    Chapter 2: Differentiation
    Chapter 3: Applications of the Derivative
    Chapter 4: Integration
    Chapter 5: Applications of the Definite Integral
    Chapter 6: Integration Techniques
    Chapter 7: First-Order Differential Equations
    Chapter 8: Infinite Series
    Chapter 9: Parametric Equations and Polar Coordinates
    Chapter 10: Vectors and the Geometry of Space
    Chapter 11: Vector-Valued Functions
    Chapter 12: Functions of Several Variables and Partial Differentiation
    Chapter 13: Multiple Integrals
    Chapter 14: Vector Calculus
    Chapter 15: Second Order Differential Equations

    Appendix A: Proofs of Selected Theorems
    Appendix B: Answers to Odd-Numbered Exercises
  • Citation

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