Calculus : early transcendentals : single variable

著者

書誌事項

Calculus : early transcendentals : single variable

William Briggs ... [et al.]

Pearson, c2019

3rd ed

  • : pbk

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注記

Other authors: Lyle Cochran, Bernard Gillett, Eric Schulz

Includes indexes

内容説明・目次

内容説明

For 3- to 4-semester courses covering single-variable and multivariable calculus, taken by students of mathematics, engineering, natural sciences, or economics. The most successful new calculus text in the last two decades The much-anticipated 3rd Edition of Briggs' Calculus Series retains its hallmark features while introducing important advances and refinements. Briggs, Cochran, Gillett, and Schulz build from a foundation of meticulously crafted exercise sets, then draw students into the narrative through writing that reflects the voice of the instructor. Examples are stepped out and thoughtfully annotated, and figures are designed to teach rather than simply supplement the narrative. The groundbreaking eBook contains approximately 700 Interactive Figures that can be manipulated to shed light on key concepts. For the 3rd Edition, the authors synthesized feedback on the text and MyLab (TM) Math content from over 140 instructors and an Engineering Review Panel. This thorough and extensive review process, paired with the authors' own teaching experiences, helped create a text that was designed for today's calculus instructors and students. Also available with MyLab Math MyLab Math is the teaching and learning platform that empowers instructors to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. Note: You are purchasing a standalone product; MyLab Math does not come packaged with this content. Students, if interested in purchasing this title with MyLab Math, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. If you would like to purchase both the physical text and MyLab Math, search for: 0134996712 / 9780134996714 Single Variable Calculus: Early Transcendentals and MyLab Math with Pearson eText - Title-Specific Access Card Package, 3/e Package consists of: 0134766857 / 9780134766850 Calculus: Early Transcendentals, Single Variable 0134856929 / 9780134856926 MyLab Math with Pearson eText - Standalone Access Card - for Calculus: Early Transcendentals, Single Variable

目次

1. Functions 1.1 Review of Functions 1.2 Representing Functions 1.3 Inverse, Exponential, and Logarithmic Functions 1.4 Trigonometric Functions and Their Inverses Review Exercises 2. Limits 2.1 The Idea of Limits 2.2 Definitions of Limits 2.3 Techniques for Computing Limits 2.4 Infinite Limits 2.5 Limits at Infinity 2.6 Continuity 2.7 Precise Definitions of Limits Review Exercises 3. Derivatives 3.1 Introducing the Derivative 3.2 The Derivative as a Function 3.3 Rules of Differentiation 3.4 The Product and Quotient Rules 3.5 Derivatives of Trigonometric Functions 3.6 Derivatives as Rates of Change 3.7 The Chain Rule 3.8 Implicit Differentiation 3.9 Derivatives of Logarithmic and Exponential Functions 3.10 Derivatives of Inverse Trigonometric Functions 3.11 Related Rates Review Exercises 4. Applications of the Derivative 4.1 Maxima and Minima 4.2 Mean Value Theorem 4.3 What Derivatives Tell Us 4.4 Graphing Functions 4.5 Optimization Problems 4.6 Linear Approximation and Differentials 4.7 L'Hopital's Rule 4.8 Newton's Method 4.9 Antiderivatives Review Exercises 5. Integration 5.1 Approximating Areas under Curves 5.2 Definite Integrals 5.3 Fundamental Theorem of Calculus 5.4 Working with Integrals 5.5 Substitution Rule Review Exercises 6. Applications of Integration 6.1 Velocity and Net Change 6.2 Regions Between Curves 6.3 Volume by Slicing 6.4 Volume by Shells 6.5 Length of Curves 6.6 Surface Area 6.7 Physical Applications Review Exercises 7. Logarithmic, Exponential, and Hyperbolic Functions 7.1 Logarithmic and Exponential Functions Revisited 7.2 Exponential Models 7.3 Hyperbolic Functions Review Exercises 8. Integration Techniques 8.1 Basic Approaches 8.2 Integration by Parts 8.3 Trigonometric Integrals 8.4 Trigonometric Substitutions 8.5 Partial Fractions 8.6 Integration Strategies 8.7 Other Methods of Integration 8.8 Numerical Integration 8.9 Improper Integrals Review Exercises 9. Differential Equations 9.1 Basic Ideas 9.2 Direction Fields and Euler's Method 9.3 Separable Differential Equations 9.4 Special First-Order Linear Differential Equations 9.5 Modeling with Differential Equations Review Exercises 10. Sequences and Infinite Series 10.1 An Overview 10.2 Sequences 10.3 Infinite Series 10.4 The Divergence and Integral Tests 10.5 Comparison Tests 10.6 Alternating Series 10.7 The Ratio and Root Tests 10.8 Choosing a Convergence Test Review Exercises 11. Power Series 11.1 Approximating Functions with Polynomials 11.2 Properties of Power Series 11.3 Taylor Series 11.4 Working with Taylor Series Review Exercises 12. Parametric and Polar Curves 12.1 Parametric Equations 12.2 Polar Coordinates 12.3 Calculus in Polar Coordinates 12.4 Conic Sections Review Exercises Appendix A. Proofs of Selected Theorems Appendix B. Algebra Review ONLINE Appendix C. Complex Numbers ONLINE Answers Index Table of Integrals

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