
- 461 pages
- English
- PDF
- Available on iOS & Android
About this book
The ideal resource for promoting active learning in flipped classroom environments, Calculus: Multivariable, 8th Edition brings calculus to real life with relevant examples and a variety of problems with applications from the physical sciences, economics, health, biology, engineering, and economics. Emphasizing the Rule of Four—viewing problems graphically, numerically, symbolically, and verbally—this popular textbook provides students with numerous opportunities to master key mathematical concepts and apply critical thinking skills to reveal solutions to mathematical problems.
Developed by Calculus Consortium based at Harvard University, Calculus: Multivariable uses a student-friendly approach that highlights the practical value of mathematics while reinforcing both the conceptual understanding and computational skills required to reduce complicated problems to simple procedures. The new eighth edition further reinforces the Rule of Four, offers additional problem sets and updated examples, and supports complex, multi-part questions through new visualizations and graphing questions powered by GeoGebra.
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Key takeaways
Analyze and interpret functions of several variables using graphical, numerical, symbolic, and verbal representations. Apply multivariable differentiation techniques, including gradients and partial derivatives, to solve optimization problems.
Evaluate double and triple integrals in Cartesian, polar, cylindrical, and spherical coordinate systems. Apply these integration methods to solve problems across various scientific and engineering disciplines.
Work with parameterized curves and vector fields to compute line and flux integrals. Apply Green's, Divergence, and Stokes' Theorems to relate different types of integrals and analyze physical systems.
Information
Table of contents
- Cover
- FES
- Title Page
- Copyright
- Preface
- Contents
- CHAPTER 12: FUNCTIONS OF SEVERAL VARIABLES
- CHAPTER 13: A FUNDAMENTAL TOOL: VECTORS
- CHAPTER 14: DIFFERENTIATING FUNCTIONS OF SEVERAL VARIABLES
- CHAPTER 15: OPTIMIZATION: LOCAL AND GLOBAL EXTREMA
- CHAPTER 16: INTEGRATING FUNCTIONS OF SEVERAL VARIABLES
- CHAPTER 17: PARAMETERIZATION AND VECTOR FIELDS
- CHAPTER 18: LINE INTEGRALS
- CHAPTER 19: FLUX INTEGRALS AND DIVERGENCE
- CHAPTER 20: THE CURL AND STOKES’ THEOREM
- CHAPTER 21: PARAMETERS, COORDINATES, AND INTEGRALS
- READY REFERENCE
- ANSWERS TO ODD NUMBERED PROBLEMS
- INDEX
- BES
- EULA
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