Calculus for Scientists and Engineers, Multivariable

Paperback | February 9, 2012

byBill L Briggs, Lyle Cochran, Bernard Gillett

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Drawing on their decades of teaching experience, William Briggs and Lyle Cochran have created a calculus text that carries the teacher’s voice beyond the classroom. That voice—evident in the narrative, the figures, and the questions interspersed in the narrative—is a master teacher leading readers to deeper levels of understanding. The authors appeal to readers’ geometric intuition to introduce fundamental concepts and lay the foundation for the more rigorous development that follows. Comprehensive exercise sets have received praise for their creativity, quality, and scope. This book covers chapters multivariable topics (chapters 9—15) of Calculus for Scientists and Engineers: Early Transcendentals, which is an expanded version of Calculus: Early Transcendentals by the same authors.

 

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Drawing on their decades of teaching experience, William Briggs and Lyle Cochran have created a calculus text that carries the teacher’s voice beyond the classroom. That voice—evident in the narrative, the figures, and the questions interspersed in the narrative—is a master teacher leading readers to deeper levels of understanding. The...

William Briggs has been on the mathematics faculty at the University of Colorado at Denver for twenty-three years. He received his BA in mathematics from the University of Colorado and his MS and PhD in applied mathematics from Harvard University. He teaches undergraduate and graduate courses throughout the mathematics curriculum with...

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Format:PaperbackDimensions:672 pages, 10.7 × 8.5 × 1.2 inPublished:February 9, 2012Publisher:Pearson EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0321785517

ISBN - 13:9780321785510

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Extra Content

Table of Contents

9. Sequences and Infinite Series

9.1 An overview

9.2 Sequences

9.3 Infinite series

9.4 The Divergence and Integral Tests

9.5 The Ratio, Root, and Comparison Tests

9.6 Alternating series

 

10. Power Series

10.1 Approximating functions with polynomials

10.2 Properties of Power series

10.3 Taylor series

10.4 Working with Taylor series

 

11. Parametric and Polar Curves

11.1 Parametric equations

11.2 Polar coordinates

11.3 Calculus in polar coordinates

11.4 Conic sections

 

12. Vectors and Vector-Valued Functions

12.1 Vectors in the plane

12.2 Vectors in three dimensions

12.3 Dot products

12.4 Cross products

12.5 Lines and curves in space

12.6 Calculus of vector-valued functions

12.7 Motion in space

12.8 Length of curves

12.9 Curvature and normal vectors

 

13. Functions of Several Variables

13.1 Planes and surfaces

13.2 Graphs and level curves

13.3 Limits and continuity

13.4 Partial derivatives

13.5 The Chain Rule

13.6 Directional derivatives and the gradient

13.7 Tangent planes and linear approximation

13.8 Maximum/minimum problems

13.9 Lagrange multipliers

 

14. Multiple Integration

14.1 Double integrals over rectangular regions

14.2 Double integrals over general regions

14.3 Double integrals in polar coordinates

14.4 Triple integrals

14.5 Triple integrals in cylindrical and spherical coordinates

14.6 Integrals for mass calculations

14.7 Change of variables in multiple integrals

 

15. Vector Calculus

15.1 Vector fields

15.2 Line integrals

15.3 Conservative vector fields

15.4 Green’s theorem

15.5 Divergence and curl

15.6 Surface integrals

15.6 Stokes’ theorem

15.8 Divergence theorem