Last edition Elsevier For a three-semester or four-quarter calculus course covering single variable and multivariable calculus for mathematics, engineering, and science majors. This much anticipated second edition of the most successful new calculus text published in the last two decades retains the best of the first edition while introducing important advances and refinements. Authors Briggs, Cochran, and Gillett 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 that are stepped out and thoughtfully annotated, and figures that are designed to teach rather than simply supplement the narrative. The authors appeal to students’ geometric intuition to introduce fundamental concepts, laying a foundation for the development that follows.
Last Edition
ISBN 13: 9781292062310
Imprint: Pearson Education
Language: English
Authors: William L. Briggs
Pub Date: 05/2016
Pages: 1320
Illus: Illustrated
Weight: 2,600.000 grams
Size: h 221 X 276 mm
Product Type: Softcover
| List Price |
| grn 2070 |
| $ 70,17 |
| to order |
- • Comprehensive exercise sets provide for a variety of student needs and are consistently structured and labeled to facilitate the creation of homework assignments.
- • Review Questions check that students have a general conceptual understanding of the essential ideas from the section.
- • Basic Skills exercises are linked to examples in the section so students get off to a good start with homework.
- • Further Explorations exercises extend students’ abilities beyond the basics.
- • 20% more exercises, including more mid-level exercises to enhance the pace of the book and give students more of a computational footing for the exercises that follow.
- • A thorough, cover-to-cover polishing of the narrative in the second edition makes the presentation of material even more concise and lucid.
- • New topics—several topics that were addressed in Guided Projects in the first edition are now, at the urging of users, included the main text. We now have complete sections with a full complement of exercises on: • Newton’s method • Surface area of solids of revolution • Hyperbolic functions
- William L. Briggs University of Colorado | UCD · Department of Mathematical and Statistical Sciences
- 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
- 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
- 3. Derivatives
- 3.1 Introducing the derivative 3.2 Working with derivatives 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
- 4. Applications of the Derivative
- 4.1 Maxima and minima 4.2 What derivatives tell us 4.3 Graphing functions 4.4 Optimization problems 4.5 Linear approximation and differentials 4.6 Mean Value Theorem 4.7 L’H?pital’s Rule 4.8 Newton’s Method 4.9 Antiderivatives
- 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
- 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 6.8 Logarithmic and exponential functions revisited 6.9 Exponential models 6.10 Hyperbolic functions
- 7. Integration Techniques
- 7.1 Basic approaches 7.2 Integration by parts 7.3 Trigonometric integrals 7.4 Trigonometric substitutions 7.5 Partial fractions 7.6 Other integration strategies 7.7 Numerical integration 7.8 Improper integrals 7.9 Introduction to differential equations
- 8. Sequences and Infinite Series
- 8.1 An overview 8.2 Sequences 8.3 Infinite series 8.4 The Divergence and Integral Tests 8.5 The Ratio, Root, and Comparison Tests 8.6 Alternating series
- 9. Power Series
- 9.1 Approximating functions with polynomials 9.2 Properties of Power series 9.3 Taylor series 9.4 Working with Taylor series
- 10. Parametric and Polar Curves
- 10.1 Parametric equations 10.2 Polar coordinates 10.3 Calculus in polar coordinates 10.4 Conic sections
- 11. Vectors and Vector-Valued Functions
- 11.1 Vectors in the plane 11.2 Vectors in three dimensions 11.3 Dot products 11.4 Cross products 11.5 Lines and curves in space 11.6 Calculus of vector-valued functions 11.7 Motion in space 11.8 Length of curves 11.9 Curvature and normal vectors
- 12. Functions of Several Variables
- 12.1 Planes and surfaces 12.2 Graphs and level curves 12.3 Limits and continuity 12.4 Partial derivatives 12.5 The Chain Rule 12.6 Directional derivatives and the gradient 12.7 Tangent planes and linear approximation 12.8 Maximum/minimum problems 12.9 Lagrange multipliers
- 13. Multiple Integration
- 13.1 Double integrals over rectangular regions 13.2 Double integrals over general regions 13.3 Double integrals in polar coordinates 13.4 Triple integrals 13.5 Triple integrals in cylindrical and spherical coordinates 13.6 Integrals for mass calculations 13.7 Change of variables in multiple integrals
- 14. Vector Calculus
- 14.1 Vector fields 14.2 Line integrals 14.3 Conservative vector fields 14.4 Green’s theorem 14.5 Divergence and curl 14.6 Surface integrals 14.6 Stokes’ theorem 14.8 Divergence theorem
- Appendix A. Algebra Review Appendix B. Proofs of Selected Theorems
- D1. Differential Equations (online) D1.1 Basic Ideas D1.2 Direction Fields and Euler’s Method D1.3 Separable Differential Equations D1.4 Special First-Order Differential Equations D1.5 Modeling with Differential Equations
- D2. Second-Order Differential Equations (online) D2.1 Basic Ideas D2.2 Linear Homogeneous Equations D2.3 Linear Nonhomogeneous Equations D2.4 Applications D2.5 Complex Forcing Functions
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