"It is written in a dense but very deep and conceptual style. Its evident instructive character is also one of the advantages of this textbook." Mathematics Abstracts, 2001

• Basic concepts in topology; differentiation in normed vector spaces; the inverse function theorem; differentiable manifolds; an introduction to singularity theory; an introduction to geometric variational problems.

"It is written in a dense but very deep and conceptual style. Its evident instructive character is also one of the advantages of this textbook." Mathematics Abstracts, 2001

• Basic concepts in topology; differentiation in normed vector spaces; the inverse function theorem; differentiable manifolds; an introduction to singularity theory; an introduction to geometric variational problems.