From Vectorcalcumb

Revision as of 03:00, 9 February 2006 (edit) Vegas (Talk | contribs) (→Vector Functions) ← Previous diff		Revision as of 03:11, 9 February 2006 (edit) (undo) Vegas (Talk | contribs) (→Vector Fields) Next diff →
Line 9:		Line 9:
	=[[Vector Fields]]=		=[[Vector Fields]]=
		+	<m>F : \\bbR^n\\right\\bbR^n</m>
		+	*Gradient Fields
		+	*<m>F : (\\gradient f)(p) \\in \\bbR^n</m>
		+	*Maxima & Minima
		+	**Free
		+	**Constrained
		+	*Lagrange Multiplier
		+	*divergance, circulation
		+	**div
		+	**curl
		+
	=[[Integrals]]=		=[[Integrals]]=
	=[[Integral Vector Calculus]]=		=[[Integral Vector Calculus]]=
	=[[Manifolds]]=		=[[Manifolds]]=

---

Revision as of 03:11, 9 February 2006

Contents 1 Vector Functions 2 Vector Fields 3 Integrals 4 Integral Vector Calculus 5 Manifolds

Vector Functions

<m>F : \\bbR^m \\right \\bbR^n</m>

• Things more complicated than Linear Transformations
• Structure of <m> \\\\bbR^n </m>
  • Metric Spaces
  • Topology
• Calculus of Vector Functions
  • Limits<m>\\right</m>Continuity<m>\\right</m>Differentiability

Vector Fields

<m>F : \\bbR^n\\right\\bbR^n</m>

• Gradient Fields
• <m>F : (\\gradient f)(p) \\in \\bbR^n</m>
• Maxima & Minima
  • Free
  • Constrained
• Lagrange Multiplier
• divergance, circulation
  • div
  • curl

Integrals

Integral Vector Calculus

Manifolds