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The Calculus of Functions of Several Variables

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The Calculus of Functions of Several Variables

This textbook corresponds with a 300-level mathematics course taught at Furman University. Students should have completed four semesters of college level calculus prior to attempting this course.

CalculusMathematics
Author
Dan Sloughter
Publisher
Furman University
Source
LibreTexts
License
CC BY-NC-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 44 sections
  1. 01: Geometry of R
  2. 1.01: Introduction to R
  3. 1.1.E: Introduction to R (Exercises)
  4. 1.02: Angles and The Dot Product
  5. 1.2.E: Angles and The Dot Product (Exercises)
  6. 1.03: The Cross Product
  7. 1.3.E: The Cross Product (Exercises)
  8. 1.04: Lines Planes and Hyperplanes
  9. 1.4.E: Lines Planes and Hyperplanes (Exercises)
  10. 1.05: Linear and Affine Functions
  11. 1.5.E: Linear and Affine Functions (Exercises)
  12. 1.06: Operations with Matrices
  13. 1.6.E: Operations with Matrices (Exercises)
  14. 02: Functions from R to R
  15. 2.01: Curves
  16. 2.1.E: Curves (Exercises)
  17. 2.02: Best Affine Approximations
  18. 2.2.E: Best Affine Approximations (Exercises)
  19. 2.03: Motion Along a Curve
  20. 2.3.E: Motion Along a Curve (Exercises)
  21. 03: Functions from R to R
  22. 3.01: Geometry Limits and Continuity
  23. 3.1.E: Geometry Limits and Continuity (Exercises)
  24. 3.02: Directional Derivatives and the Gradient
  25. 3.2.E: Directional Derivatives and the Gradient (Exercises)
  26. 3.03: Best Affine Approximations
  27. 3.3.E: Best Affine Approximations (Exercises)
  28. 3.04: Second-Order Approximations
  29. 3.4.E: Second-Order Approximations (Exercises)
  30. 3.05: Extreme Values
  31. 3.5.E: Extreme Values (Exercises)
  32. 3.06: Definite Integrals
  33. 3.6.E: Definite Integrals (Exercises)
  34. 3.07: Change of Variables in Definite Integrals
  35. 3.7.E: Change of Variables in Definite Integrals (Exercises)
  36. 04: Functions from R' to R
  37. 4.01: Geometry Limits and Continuity
  38. 4.1.E: Geometry Limits and Continuity (Exercises)
  39. 4.02: Best Affine Approximations
  40. 4.2.E: Best Affine Approximations (Exercises)
  41. 4.03: Line Integrals
  42. 4.3.E: Line Integrals (Exercises)
  43. 4.04: Green's Theorem
  44. 4.4.E: Green's Theorem (Exercises)