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


/Minton: Mathematically Precise. -Friendly. Superior Technology. who have used Smith/Minton’s say it was easier to read than any other math they’ve used. That testimony underscores the success of the authors’ , 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, -based applications that appeal to ’ interests and demonstrate the elegance of math in the world around us.

New features include:

• A new organization 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 stress the contemporary dynamism of mathematical research and applications, connecting past contributions to the present.
• An enhanced discussion of and additional applications of .

Table of Content

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

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