Vector Calculus, Linear Algebra, and Differential Forms

선형대수학과 다변수 미적분학을 통합하여 벡터, 행렬, 미분, 적분, 다양체, 미분형식과 벡터해석의 핵심 개념을 장별로 정리합니다.

목차

1. Preliminaries

2. Vectors, Matrices, and Derivatives

3. Solving Equations

4. Manifolds, Taylor Polynomials, Quadratic Forms, and Curvature

5. Integration

6. Volumes of Manifolds

7. Forms and Vector Calculus

Appendix

1. Analysis