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.

Calculus Mathematics

Tác giả: Dan Sloughter
Nhà xuất bản: Furman University
Nguồn: LibreTexts
Giấy phép: CC BY-NC-SA
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

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Mục lục· 44 mục

01: Geometry of R
1.01: Introduction to R
1.1.E: Introduction to R (Exercises)
1.02: Angles and The Dot Product
1.2.E: Angles and The Dot Product (Exercises)
1.03: The Cross Product
1.3.E: The Cross Product (Exercises)
1.04: Lines Planes and Hyperplanes
1.4.E: Lines Planes and Hyperplanes (Exercises)
1.05: Linear and Affine Functions
1.5.E: Linear and Affine Functions (Exercises)
1.06: Operations with Matrices
1.6.E: Operations with Matrices (Exercises)
02: Functions from R to R
2.01: Curves
2.1.E: Curves (Exercises)
2.02: Best Affine Approximations
2.2.E: Best Affine Approximations (Exercises)
2.03: Motion Along a Curve
2.3.E: Motion Along a Curve (Exercises)
03: Functions from R to R
3.01: Geometry Limits and Continuity
3.1.E: Geometry Limits and Continuity (Exercises)
3.02: Directional Derivatives and the Gradient
3.2.E: Directional Derivatives and the Gradient (Exercises)
3.03: Best Affine Approximations
3.3.E: Best Affine Approximations (Exercises)
3.04: Second-Order Approximations
3.4.E: Second-Order Approximations (Exercises)
3.05: Extreme Values
3.5.E: Extreme Values (Exercises)
3.06: Definite Integrals
3.6.E: Definite Integrals (Exercises)
3.07: Change of Variables in Definite Integrals
3.7.E: Change of Variables in Definite Integrals (Exercises)
04: Functions from R' to R
4.01: Geometry Limits and Continuity
4.1.E: Geometry Limits and Continuity (Exercises)
4.02: Best Affine Approximations
4.2.E: Best Affine Approximations (Exercises)
4.03: Line Integrals
4.3.E: Line Integrals (Exercises)
4.04: Green's Theorem
4.4.E: Green's Theorem (Exercises)